if <1 and <2 form a linear pair, and m<1 = (7x - 3) and m<2 = (12x - 7), draw and label a diagram of the problem, then find the m<2.

Answers

Answer 1

The value of the variable 'x' is 10. Then the measure of angle ∠2 is 113°.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

If angles ∠1 and ∠2 form a linear pair, m∠1 = (7x - 3) and m∠2 = (12x - 7). Then the equation is given as,

∠1 + ∠2 = 180

7x - 3 + 12x - 7 = 180

Simplify the equation, then we have

7x - 3 + 12x - 7 = 180

19x = 190

x = 10

Then the measure of angle ∠2 is calculated as,

∠2 = 12(10) - 7

∠2 = 120 - 7

∠2 = 113°

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If &lt;1 And &lt;2 Form A Linear Pair, And M&lt;1 = (7x - 3) And M&lt;2 = (12x - 7), Draw And Label A

Related Questions

8 (a) The formula for the area of a trapezium is A = = h(c + d)
(* Find an expression for c in terms of A, hand d.

Answers

The expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

What is the area of the trapezium?

The formula for the area of a trapezium is A = h(c + d)/2, where h is the height of the trapezium, c is the length of one of the bases, and d is the length of the other base.

To find an expression for c in terms of A, h, and d, we can start by rearranging the formula to solve for c:

A = h(c + d)/2

2A = h(c + d)

2A/h = c + d

c + d = 2A/h

Then, we can subtract d from both sides of the equation to solve for c:

c = (2A/h) - d

Hence, the expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

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The expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

What is the area of the trapezium?

The formula for the area of a trapezium is A = h(c + d)/2, where h is the height of the trapezium, c is the length of one of the bases, and d is the length of the other base.

To find an expression for c in terms of A, h, and d, we can start by rearranging the formula to solve for c:

A = h(c + d)/2

2A = h(c + d)

2A/h = c + d

c + d = 2A/h

Then, we can subtract d from both sides of the equation to solve for c:

c = (2A/h) - d

Hence, the expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

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22fl oz/ minutes ≈ mL/s

Answers

After the conversion of 22 fl oz/minutes to mL/s, we get 10.41 mL/s

What is fluid ounce(fl oz)?

The fluid ounce is different from the (international avoirdupois) ounce as a unit of weight or mass, even though it is occasionally referred to as simply "one ounce" when the context clearly indicates what is meant. There is almost exactly one ounce of pure water in one imperial fluid ounce of volume.

A fluid ounce, often known as a capacity or fl oz, is a volume measurement unit that is frequently used to measure liquids.

An imperial fluid ounce is exactly 28.4130625 milliliters (1/20 of an imperial pint, 1/16 of an imperial gallon).

As, 1 fl oz = 28.41 mL

∴ 22 fl oz = (28.41×22) mL

⇒ 22 fl oz = 625.02 mL

Since, 1 minute = 60 s

∴ 22 fl oz/minutes = (625.02/60) mL/s

⇒ 22 fl oz/minutes = 10.41 mL/s

After the conversion of 22 fl oz/minutes to mL/s, we get 10.41 mL/s

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A worker in a silver mine descends 26 feet use an integer to represent the change in the workers position

Answers

Answer: -26 feet

Step-by-step explanation:


Bob is a member of a gym. He paid a joining fee, plus a monthly fee. The equation below represents the amount he has paid as a function of the number of
months he has been a member of the gym. Interpret the slope of the function in terms of the problem.
y=22m +39

A. Bob pays $39 for 22 months.
B. Bob pays $22 per year.
C. Bob pays $22 per month
D. Bob pays $39 per month

Answers

Bob pays $22 per month as 39 is joining fee which is only for first month

What is an example of a slope intercept form?

Slope-Intercept Form Examples

Example 1: Assuming a line has a slope of 1/2 and intersects the y-axis at (0, -3). Find the line's equation. Y = x/2 - 3 is the solution to the line's equation. Example 2: Using the horizontal line slope intercept formula, determine the equation at which the y-axis intersects (0, 8).

How is a slope equation solved?

Write the equation of the line in slope-intercept form to determine the slope from the equation. Utilize inverse procedures to find y, then write it as y=mx+b. Since the slope is the x variable's coefficient, or the number before x, you can thus readily see the slope.

Given that:

y=22m+39

Slope of the function is 22 and it is membership fee of a month .

If bob wants to increase membership for a months , he has to pay 22 extra and joining fee of 39

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In a recent poll, 45% of adults took 2 weeks' vacation in 2017, and 23% of adults took 2 weeks' vacation and went out of the country. What is the probability that an adult went out of the country given they took 2 weeks' vacation?

Answers

The probability that an adult went out of the country given they took 2 weeks' vacation is 51%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that in a recent poll, 45% of adults took 2 weeks' vacation in 2017, and 23% of adults took 2 weeks' vacation and went out of the country.

The probability will be calculated as,

Probability = (23 / 45) x 100

Probability = 0.51 x 100

Probability = 51%

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Someone please help me with this!! I’ll give u a brainless or whatever it’s called!

Answers

Answer:

New price = 0.06 x Original price

New price $1,968

1. The equation, 687.5 = 550(1 + 0.05t), represents the amount of money earned on a simple interest savings account. What does the value 550 represent?

The value 550 represents the initial balance in the account, which means the account started with $550.
The value 550 represents the final balance in the account, which means the account balance ended with $550.
The value 550 represents the final balance in the account, which means the account balance started with $550.
The value 550 represents the amount of interest earned, which means $550 was added to the initial balance.

2. A savings account is opened with an initial deposit of $425.00. Determine the account balance after 9 years if the account earns 2.7% simple interest annually.

$3,928.28
$1,457.75
$528.28
$103.28

3. An arithmetic sequence begins with 56, 59, 62, 65, 68, …

Which option below represents the formula for the sequence?

f(n) = 56 + 3(n − 1)
f(n) = 53 + 3(n − 1)
f(n) = 56 + 3(n)
f(n) = 53 + 3(n + 1)

4. The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account. Solve for r.

r = 0.04
r = 0.14
r = 0.26
r = 0.40

Answers

1. In the simple interest equation, 687.5 = 550(1 + 0.05t), A. The value 550 represents the initial balance in the account, which means the account started with $550.

2. The account balance of a savings account opened with an initial deposit of $425.00, after 9 years if the account earns 2.7% simple interest annually, is C. $528.28.

3. The formula for the arithmetic sequence which begins with 56, 59, 62, 65, 68, … is C. f(n) = 56 + 3(n).

4. The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account, where r is A. r = 0.04.

What is the simple interest system?

The simple interest system operates without compounding the interest.

Compounding implies that interest attracts interest.

1) 687.5 = 550(1 + 0.05t)

Principal = $550

Final amount after t years = $687.50

Simple interest rate = 0.05 or 5%

Time, t = [$687.5/$550 - 1]/0.05

= 5 years

2) Principal = $425.00

Time = 9 years

Simple interest rate = 2.7%

Amount after 9 years = $528.28 ($425 x 1 + (9 x 2.7%)

3) Arithmetic Sequence:

f(n) = 56 + 3(n)

Where n = 1:

f(n) = 56 + 3(1)

= 56 + 3

= 59

Where n = 2:

f(n) = 56 + 3(2)

= 56 + 6

= 62

4) Principal = $600

Amount after 9 years = $816

Simple interest rate = r

r = ($816/$600 - 1)/9

= 0.04

= 4%

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Answer:

Answer below

Step-by-step explanation:

1. The value 550 represents the initial balance in the account, which means the account started with $550.

2. (C) 528.28

425.00 x  2.7% x 9 = 103.275

Then we add 103.275 to the initial deposit of $425.00

425.00 + 103.275 = 528.275

Therefore the answer is (C) 528.28

3. The answer for this one is (A) f(n) = 56 + 3(n − 1)

So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is [tex]a_{n} =a_{1} +d(n-1)[/tex] .

Therefore, its 56 + 3(n − 1)

4. For this one we solve for r and using a calculator its (A) r = 0.04

5. Oh also he doesn't have this one but its (C) 102

An auditorium has 30 seats in the first row, 38 seats in the second row, 46 seats in the third row, and so on. How many seats are in the 10th row?

60

93

102

110

As we can see the common difference is 8.

Then we use the rule for nth term which is [tex]a_{n} =a_{1} +d(n-1)[/tex]

[tex]a_{n} =30+8(n-1)[/tex]

[tex]a_{n} =30+8n-8[/tex]

[tex]a_{n} =22+8(10)[/tex]

[tex]a_{n} =22+80[/tex]

[tex]a_{n} = 102[/tex]

So therefore, the answer is (C) 102.

Find the amount with the same value as:

70 x 7-2

A
0
B
14
C
149

D
17

Answers

The value of the numerical expression 70 / (7 - 2) will be 14. Then the correct option is B.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numerical expression is given below.

⇒ 70 / (7 - 2)

Simplify the expression, then we have

⇒ 70 / (7 - 2)

⇒ 70 / 5

⇒ 14

The worth of the mathematical articulation 70/(7 - 2) will be 14. Then the right choice is B.

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The correct expression is given below.

70 / (7 - 2)

fillings how much do prices vary for filling a cavity? to find out, an insurance company randomly selects 10 dental practices in california and asks for the cash (non-insurance) price for this procedure at each practice. the interquartile range is $74.

Answers

The prices for filling a cavity can vary greatly depending on the dental practice. The interquartile range of $74 for 10 randomly selected dental practices in California is an indication of the amount of price variation for this procedure.

1. To find out how much prices for filling a cavity vary, an insurance company randomly selects 10 dental practices in California and asks for the cash (non-insurance) price for this procedure.

2. The insurance company then computes the interquartile range of the prices for each practice.

3. The interquartile range of $74 indicates the amount of price variation for filling a cavity at the 10 randomly selected dental practices in California.

The prices for filling a cavity can vary greatly depending on the dental practice. The interquartile range of $74 for 10 randomly selected dental practices in California is an indication of the amount of price variation for this procedure.

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Find the number that makes the ratio equivalent to 6:1.
?:10

Answers

Answer:

60

Step-by-step explanation:

?=60, multiply each side of the ratio by 10 to get the answer

6×10:1×10

60:10

The video game club lost 8 members which was 28% of their group.
What was the original attendance of the video game club?




HELP!!!

Answers

The original attendance of the video game club was 28.57 members.

To determine the original attendance of the video game club, you can use the following formula:

Original attendance = (Number of members lost) / (Percent of group that left)

Plugging in the values from the problem, we get:

Original attendance = (8 members) / (28%)

To solve this equation, you need to convert the percent to a decimal by dividing it by 100. This gives us:

Original attendance = (8 members) / (0.28)

Then, you can solve the equation by dividing the number of members lost by the decimal equivalent of the percent:

Original attendance = 28.57 members

Therefore, the video gaming club had 28.57 members when it first started.

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the perimeter of a square is 48 centimeters, what is the area in square centimeters

Answers

Answer:

144cm²

Step-by-step explanation:

If the square is perfectly even on all sides, the you first need to divide 48 by 4, as a square has 4 sides.

48/4 = 12cm

Then, to find the area, you need to multiply 12 by 12.

12 cm x 12 cm = 144cm²

Hope this helps :)

Explain Harvey's error in the following scenario.
Harvey's sow has just delivered five piglets. The veterinarian has examined the mother and babies, the
piglets have nursed, and it is time for everyone to get some rest. Harvey has filled the pen with clean, dry
straw, and he puts all the pigs in the pen to spend their first night together.

Answers

Harvey's mistake in this scenario is that he put the pigs on a bed of straw that could infect their belly buttons. Additionally, he did not ensure that they consume colostrum in the first hours of life.

How should we treat a newborn pig?

When we have a pregnant sow and we have to manage the postpartum procedure, we must make sure of different necessary procedures so that the piglets are well and their lives are not at risk in the following hours or days.

Among the procedures necessary for the piglets to be well are breathing, feeding and hygiene. In detail, once the piglet is extracted from its mother, we must make sure that it is breathing correctly. Secondly, we must clean it properly and make sure that its navel is completely clean to avoid infections. Finally we must give colostrum as food within the following hours after birth.

Additionally, we must place it in a clean place where it is not exposed to possible bacteria or infections, so the option of putting it on a bed of straw would be ruled out due to hygiene for the pig.

According to the above, Harvey's mistake was that he did not clean the piglets when they were born, did not give them colostrum, and put them on straw. Actually, he made three mistakes.

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in a class of 40 students, 20 have examination scores below 77% and 20 have scores above 77%. which measure(s) of central tendency can you immediately determine?

Answers

Observing the information provided and using concept of central tendency parameters of statistics, The central tendency which we can immediately determine is median.

What is statistics?

A field of mathematics that deals with gathering, analyzing, interpreting, and presenting vast amounts of numerical data.

What do you mean by measure of central tendency?

The statistical test that determines whether a single result accurately represents a whole distribution is known as measure of central tendency.

total students = 40.

half = 20 students.

20 have scores below 77% and 20 have above 77%.

Thus, We can immediately determine that the median of score is 77%.

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Match the Vocab Word to the definition.

Remember, you are allowed to use your notes to help you!

Question 3 options:

If a = b, and c ≠ 0, then a/c = b/c


If a = b, then a + c = b + c


If a > b, and c > 0, then a/c > b/c
If a > b, and c < 0, then a/c < b/c

If a > b, then a - c > b – c


If a = b, then c ∙ a = c ∙ b


If a > b, and c > 0, then c ∙ a > c ∙ b
If a > b, and c < 0, then c ∙ a < c ∙ b

If a = b, then a - c = b - c


If a > b, then a + c > b + c

1.
Addition Property of Equality

2.
Subtraction Property of Equality

3.
Multiplication Property of Equality

4.
Division Property of Equality

5.
Addition Property of Order

6.
Subtraction Property of Order

7.
Multiplication Property of Order

8.
Division Property of Order

Answers

Match the Vocab Word to the definition

1. Addition Property of Equality

If a = b, then a + c = b + cIf a > b, then a + c > b + c

2. Subtraction Property of Equality

If a = b, then a - c = b - cIf a > b, then a - c > b – c

3. Multiplication Property of Equality

If a > b, and c > 0, then c ∙ a > c ∙ bIf a > b, and c < 0, then c ∙ a < c ∙ bIf a = b, then c ∙ a = c ∙ b

4. Division Property of Equality

If a = b, and c ≠ 0, then a/c = b/cIf a > b, and c > 0, then a/c > b/cIf a > b, and c < 0, then a/c < b/c

What is order property in math?

Order property refers to situation of changing the order of the factors. swapping the positions of the addends still maintain the answer

For instance commutative property of addition

a + b = b + a

commutative property of multiplication

a * b = b * a

The properties of equality refers to performing same operation in the opposite sides of an equation

Addition Property of Equality: here c is added to both sides of the equality such that a = b, then a + c = b + c

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The
graph below shows the solution to which system of inequalities?

Answers

The graph in the problem shows the system of inequalities written below

y ≥ 2

y < x

How to know the equations that suits the inequality graphs

There are some points that help in interpreting inequality graphs.

Firstly, arranging the equation such that y is the subject of the formula

Secondly look out for line type: dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR <solid line means there is equality in the inequality  ≤ OR ≥

Thirdly is the shaded portion

shading above the line defines greater than shading below the line defines less than

Equipped with this information, on of the line is dashed line and the other is solid line,

the solid line is a horizontal line and shaded above the line which is

y ≥ 2

the dashed line is shaded below the line will hence be a less than

y < x

This makes the first option the best choice

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A triangle with the coordinates A (-5, 2), B (1, 3), and C (-5, -8) is dilated with a scale
factor of 5 with the origin as the center of dilation. What are the coordinates of B'?

Answers

To dilate a triangle with a scale factor of k with the origin as the center of dilation, you can multiply the coordinates of each vertex of the triangle by k.

In this case, the scale factor is 5, so the coordinates of the vertices of the dilated triangle will be (5x, 5y) for the original coordinates (x, y).

Therefore, the coordinates of B' will be (51, 53) = (5, 15). So the coordinates of B' are (5, 15).

PLEASE HELP NEED TO ANSWER SO I DONT HAVE TO TAKE A MIDTERM EXAM

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.4 meters thick.

Let y represent the ice sheet's thickness (in meters) after x weeks.

Complete the equation for the relationship between the thickness and number of weeks.

y=______

Answers

The linear equation that relates the thickness and the number of weeks is:

y = -0.2*x + 3.36

How to find the equation for the thickness?

We know that the thickness decreases at a constant rate of 0.2 meters per week, so we will have a linear function between y, the thickness, and x, the number of weeks:

y = -0.2*x + b

Where b is the initial thickness

We know that after 7 weeks the sheet is 2.4 meters thick, so we can write:

2.4 = -0.2*7 + b

Now we can solve this for b.

2.4 + 0.2*7 = b

3.36 = b

Then the linear equation is:

y = -0.2*x + 3.36

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Help please asap!!!!

Answers

Answer:

y = 1/3x + 8/3

Step-by-step explanation:

The slope of a line that is perpendicular to the line y = -1/3x + 7 is the negative reciprocal of the slope of the given line, which is -3. So, the slope of the perpendicular line is 1/3.

The point where the perpendicular line intersects the given line is also the point where the two lines intersect, which is (4,2) in this case. So, we can use this point to find the equation of the perpendicular line using the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1,y1) is a point on the line.

In our case, the equation of the perpendicular line is:

y - 2 = 1/3(x - 4)

We can simplify this equation to obtain:

y = 1/3x + 8/3

Therefore, the equation of the perpendicular line is y = 1/3x + 8/3.

Given OP bisects angle MON, PM is perpendicular to PM and PN is perpendicular to ON. Prove PN is congruent to PM

Answers

1. [tex]\overline{OP}[/tex] bisects [tex]\angle MON[/tex] (given)

2. [tex]\angle MOP \cong \angle PON[/tex] (definition of angle bisector)

3. [tex]\overline{PN} \perp \overline{ON}[/tex], [tex]\overline{PM} \perp \overline{OM}[/tex] (given)

4. [tex]\angle PNO[/tex] and [tex]\angle PMO[/tex] are right angles (definition of perpendicular lines)

5. [tex]\angle PNO \cong \angle PMO[/tex] (all right angles are congruent)

6. [tex]\overline{OP} \cong \overline{OP}[/tex] (reflexive property)

7. [tex]\triangle MOP \cong \triangle NOP[/tex] (AAS)

8. [tex]\overline{PN} \cong \overline{PM}[/tex] (CPCTC)

It is proved that PN is congruent to PM by CPCTC

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We are Given OP bisects angle MON, PM is perpendicular to PM and PN is perpendicular to ON.

Therefore, Angle PNO and Angle PMO are right angles ( by definition of perpendicular lines)

All right angles are congruent;

Triangle PNO is congruent to Triangle PMO

OP = OP (by reflexive property)

Thus, MOP is congruent to NOP by AAS

PN = PM  (CPCTC)

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identify the measure of angle EHF:

Answers

The measure of angle EHF is 63°

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

m∠EHG is a right angle.

This means,

m∠EHG = 90°

m∠EHF + m∠FHG = 90

m∠EHF + 27 = 90

m∠EHF = 90 - 27

m∠EHF = 63°

Thus,

The value of m∠EHF is 63°.

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alyssa has $75 less than three times eric together they have $905 how much money do they each have

Answers

Alyssa has the money of worth $660

Eric has the money of worth $245

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Let x be the amount Alyssa has.

Let y be the amount  Eric has.

alyssa has $75 less than three times eric

=> x= 3y - 75

Together they have $905

=> x + y =905

Substitute x

=> 3y - 75  +y = 905

    4y = 905 +75 = 980

    y = 980 /4 = 245

x= 3y - 75  = 3(245) - 75 = 660

Alyssa has  $660

Eric has  $245

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this exercise uses the population growth model. the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. (a) estimate how long it takes the population to double. (round your answer to two decimal places.) yr (b) estimate how long it takes the population to triple. (round your answer to two decimal places.) yr

Answers

a) The estimated population which takes time to get double is 63.36.

b) The estimated population which takes time to get triple is 100.42.

The growth equation is A(t) = [tex]A_0e^{kt}[/tex] where A(t) is the quantity at time t, A₀ is the initial quantity, k is a positive constant, and [tex]e^{(x)}[/tex] is the natural exponential function. For A₀ = 7.1E9 (7.1 billion) and k = 0.011 (1.1%):

Given formula:

A(t) =  [tex]A_0 e^{kt}[/tex]                  --------------------------- (1)

A(t) =  [tex]7.1E9e^{0.011t}[/tex]     ----------------------------(2)

a) We have to find twice the population, or if A(t) = 2A₀. For doubles (or multiples of A₀₎, equation (1) can be written as

A(t) = [tex]A_0e^{0.11t}[/tex]

⇒ 2A₀ = [tex]A_0e^{0.11t}[/tex], (replaces A(t) = 2A₀)

⇒ 2 = [tex]e^{0.011t}[/tex],

⇒ ln(2) = ln(e0.011t ),

⇒ ln(2) = 0.011t,

⇒ ln(2)/0.011 = t

Therefore,

t = 63.36

b) Now we will find the number of years it will take the population to be triple of its size.

    7.1 × 3 = [tex]7.1(1.011)^t[/tex]

⇒ [tex]\frac{7.1 * 3}{7.1}[/tex] = [tex]1.011^{t}[/tex]

⇒ 3 = [tex]1.011^{t}[/tex]

Now, Using the logarithm:

   ln(3) = ln [tex](1.011)^{t}[/tex]

⇒  t = 100.42

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you work for an application specific integrated circuit foundry. you're checking the wafer thickness. ideal wafer thickness is 246um, with a standard deviation of 3.60. a sample of 44 wafers shows a sample average of 245.05 um. how many standard deviations from the mean that the mean is the sample average for a hypothesis test to determine if the wafer thickness is within specification. express your answer accurate to two decimal places.

Answers

The sample mean is -0.0417 standard deviations from the population mean.

What is standard deviation?

Standard deviation is a measure of the dispersion or spread of a set of data.

What is mean?

The mean, also known as the arithmetic mean or average, is a measure of the central tendency of a dataset.

(sample mean - population mean) / standard deviation

Plugging in the values from the problem, we get:

(245.05 - 246) / 3.60 = -0.15 / 3.60 = -0.0417

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the owners of a supermarket chain are looking into the effectiveness of the supermarket's loyalty card program. specifically, they would like to know if the percentage of shoppers in their stores who use the loyalty card has changed from 63% in 2014. chloe works in the marketing department of the chain and is assigned to answer the owners' inquiry. she randomly selects 196 customers from various stores in the chain and finds that 114 use the loyalty card. what are the null and alternative hypotheses for this hypothesis test?

Answers

The null and different hypotheses for hypothesis test are

[tex]H_{0}[/tex] : P =0.63 against [tex]H_{1}[/tex] p [tex]\neq[/tex] 0.63

Null hypotheses

Null hypothesis is usually what researchers or scientists try and confute, and if the null hypothesis is accepted, we have a tendency should modification our opinion, i.e., we have a tendency should modification our original opinion or statement so as to match the null hypothesis. H0 denotes the null hypothesis.

Given that:

sample size (η)= 196

sample proposition (p^) = 114/196

Let p denote the population proportion of people who use a loyalty card.

The percentage of shoppers use loyalty cards in their stores has remittent from sixty-three in 2014. [That is, whether or not the proportion has shifted from zero to 1] .63]

Hence, the null and alternative hypothesis are

[tex]H_{0}[/tex] : P =0.63 against [tex]H_{1}[/tex] p [tex]\neq[/tex] 0.63

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The teacher grades 16 of the 48 quizzes before school.

If the teacher grades 15 of the remaining quizzes after school, how many quizzes still need to be graded?

Responses

8 quizzes

8 quizzes

23 quizzes

23 quizzes

25 quizzes

25 quizzes

40 quizzes

Answers

The number of quizzes still need to be graded is 17quizzes.

What is an algebraic equation?

There are many different ways to define an equation. In terms of algebra, an equation is a claim that demonstrates the equality of two mathematical expressions.

For instance, the two equations 5x + 4 and 16, which are separated by the 'equal' sign, make up the equation 5x + 4 = 16.

Algebraic equations in mathematics frequently have one or more variables.

It is given that,

grades of the teacher out of 48 quizzes before school = 16

grades of the teacher of the remaining quizzes after school = 15

Let us assume 'X' as the number of quizzes still need to be graded.

then X= 48-16+15

          =48-31

          =17

Hence, The number of quizzes still need to be graded is 17quizzes.

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The number of quizzes still need to be graded is 17 quizzes.

What is an algebraic equation?There are many different ways to define an equation. In terms of algebra, an equation is a claim that demonstrates the equality of two mathematical expressions.For instance, the two equations 5x + 4 and 16, which are separated by the 'equal' sign, make up the equation 5x + 4 = 16.Algebraic equations in mathematics frequently have one or more variables.It is given that,grades of the teacher out of 48 quizzes before school = 16, grades of the teacher of the remaining quizzes after school = 15.Let us assume 'X' as the number of quizzes still need to be graded.

   then X= 48-=48-31

    =17

Hence, The number of quizzes still need to be graded is 17 quizzes.

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Sammy is solving the equation below. Which step should Sammy complete first?
x/2+8=-24

Answers

Answer: x= -64

Step-by-step explanation: simplifying both sides of the equation

at the city museum, child admission is $5.30 and adult admission is $9.80. on thursday, 143 tickets were sold for a total sales of $1149.40. how many adult tickets were sold that day?

Answers

The number of adult tickets  which were sold that day as calculated from the given data  is 29.

First, we must assign variables to what our "unknowns" are. Assume there are "A" number of adult tickets and "C" number of child tickets. To solve this problem, we will use two equations.

To begin, each adult ticket costs $8.90, and each kid ticket costs $5.30. When the sales totals for both types of tickets are added together, the total sale is $928.

This is represented by the following equation,

$8.90A + $5.30C = $928

Next, we know that multiplying the number of child tickets by three equals the number of adult tickets:

3 * C = A

Now we can answer our first problem by substituting 3 * C for A.

8.9 (3C) + 5.3C = 928

26.7C + 5.3C = 928

32C = 928

C = 29

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Which parent function is represented by the graph?
O A. An exponential parent function
• B. The quadratic parent function
• C. The absolute value parent function
O D. The linear parent function

Answers

Parent function is represented by the graph is

B. The quadratic parent function

What is Parent function?

A parent function in mathematics is the most basic function within a family of functions that nonetheless upholds the definition of the entire family. For instance, displaystyle y=x2 is the simplest function in the family of quadratic functions with the general form displaystyle y=ax2+bx+c.

A parent function is an equation in the simplest form of a family of functions. There are many forms of parent functions such as: Linear functions: f(x)=x f ( x ) = x , where the degree of the function is 1 and represents a straight line.

The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.

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On a team 3 girls and 2 boys scored a total of 29 points. The difference between the number of points scored by the 3 girls and the number of points scored by the 2 boys is 13. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy


HELP ONLY RIGHT ANSWERS GET THE POINTS

Answers

Answer: 4 points per boy and 7 points per girl

Step-by-step explanation: first we have to find out how many points total the girls scored and how many the boys scored. Since the girls scored 13 more points, we can do 29-13=16. then divide that by two because there are the girls and the boys. 16/2=8. the boys scored 8 points total. but we have to add the 13 and 8 for the girls. 13+8=21 then divide each by the number of girls and boys. so, the boys it would be 8 total points the boys scored/2 boys who scored=4. each boy scored 4 points. now the girls. 21 points scored by the girls/the 3 girls who scored=7 points per girl. so, each boy scored 4 points and each girl scored 7 points.

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