Fill in the missing number to make these fractions equivalent

Answer:

[tex]h_{max}=5.5[/tex]

Step-by-step explanation:

Given

[tex]h = -0.1(d + 1)(d - 12)[/tex]

Solving (a): The graph

To do this, we plot h on the vertical axis and d on the horizontal

See attachment for graph

Solving (b): The maximum of h

From the attached graph, h has the maximum value when:

[tex]d = 4.225[/tex]

So, the maximum of h is:

[tex]h_{max}=5.5[/tex]

Answer:

No

Explanation:

A coin which has a head and a tail has 1/2 probability of each which is a 50% chance of getting either a head or a tail. This means that given two sides of a coin, probability looks at the number of favorable outcomes and total number of outcomes, a formula that reflects a pattern seen in past experiences. Probability isn't absolute but relative. When we say there is a 50% chance of getting a head in a coin flip, it is relative to past experiences but doesn't assure of particular future occurrences regarding the coin flip.

Answer:

117

Step-by-step explanation:

1×2^6 + 1×2^5 + 1×2^4 + 0×2^3 + 1×2^2 + 0×2^1 + 1×2^0

1×64+1×32+1×16+0×8+1×4+0×2+1×1

=64+32+16+0+4+0+1

=117

Answer:

[tex]\frac{82}{10}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{5} +\frac{17}{2} -\frac{3}{2}[/tex]

→ Convert the mixed number into an improper fraction

[tex]\frac{6}{5} +\frac{17}{2} -\frac{3}{2}[/tex]

→ Complete the takeaway operation

[tex]\frac{6}{5} +\frac{14}{2}[/tex]

→ Make the denominators the same

[tex]\frac{12}{10}+\frac{70}{10}[/tex]

→ Simplify

[tex]\frac{82}{10}[/tex]

Answer:

8.2

Step-by-step explanation:

Answer:

i. A bar graph is an appropriate display.

ii. A bar graph is appropriate because the frequencies are given.

Step-by-step explanation:

A bar graph is a graphical method that can be used to present an information from a sample of data. It requires drawing of bars of equal width and distance with respect to the information given.

While a pie chart is a method that requires presenting information in a circular chart with respect to each data in sectors of different central angles.

For the given question, the most appropriate method to use is the bar graph with respect to the given information. Thus, the statements that are correct about the data in the table are:

i. A bar graph is an appropriate display.

ii. A bar graph is appropriate because the frequencies are given.

Answer:

The answers are:

A.)A bar graph is an appropriate display.

D.)A pie chart is not appropriate because the categories do not add to 100%.

E.)A bar graph is appropriate because the frequencies are given.

Step-by-step explanation:

Got it right on edge2021, hope this helps you out

Answer and explanation:

Linear correlation is relationship between two variables, negative or positive. When there is a negative linear correlation between two variables, one variable increases steadily while the other decreases in same proportion. In positive linear correlation, two variables increase or decrease in steadily on same proportion.

Curvilinear correlation is relationship between variables that occurs when two variables increase steadily at same rate but at some point one begins to decrease while the other increases.

Two examples of linear correlation are : increase in work hours and increase in pay cheque

increase in expenses and decrease in cash

Two examples of curvilinear correlation are:

increase in staff cheerfulness and customer satisfaction but to certain extent

increase in achievements and increase in anxiety but to certain point when achievements begin to decrease.

Answer:      The slope of p is 1/3

Step-by-step explanation:    

If the lines are perpendicular, this means they are opposite.

Thus, O is opposite P and since O = -3, P = 1/3

9514 1404 393

Answer:

  x = 1500

Step-by-step explanation:

The right triangles are all similar, so the ratio of hypotenuse to short leg is the same for all.

  x/900 = (1600+900)/x

  x^2 = 900(2500) . . . . . . cross multiply

  x = 30(50) . . . . . . . . . . . take the square root

  x = 1500

Answer: Around 38.2°

Step-by-step explanation:

Substitute them into the formula for the law of sines:

[tex]\frac{sinA}{a} =\frac{sinB}{b} \\\\\frac{sinx}{15}=\frac{sin27}{11} \\[/tex]

Cross-multiply:

[tex]11sinx=15sin27[/tex]

Solve for x:

[tex]sinx=\frac{15sin27}{11} \\\\x=sin^{-1} (\frac{15sin27}{11})\\\\=38.2488[/tex]

Answer:

Step-by-step explanation:

We have:

Substitute x and solve for y:

Find x:

Tom's speed is 12.5 mph

Carl's speed is 7.5 mph

Now

From eq(2)

From eq(1)

Adding these recent two

Putting in eq(1)

Answer:

ALL OF THE ANSWERS ARE CORRECT .

HOPE IT HELP YOU.

Answer:

Step-by-step explanation:

180 = ∠BAC + 52 +62

66 = ∠BAC

Q) 14.5% of 153 = ?

→ 14.5% of 153

→ 14.5/100 × 153

→ 22.185

So, 22.185 is answer.

Answer:

99, 113

Step-by-step explanation:

X-the first bus

X+14-the second bus

5x+5(x+14)=1060

10x+70=1060

10x=990

X=99-the first bus

99+14=113-the second bus

Answer:

b = -13/3

Step-by-step explanation:

Plug in the 13/3 into the t and then try to solve it. Like this:

(13/3 - 8/3)(13/3 + b) = 0 ---->  5/3(13/3+b) = 0 ----> from here you have to distribute  ---->  65/9 + b = 0 (here you have to subtract from both sides)

b = -65/9 (you could simplified) ---> b = -13/3

Answer:

 (x + 6) • (x + 2) • (x - 4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x3) +  22x2) -  20x) -  48

STEP

2

:

Checking for a perfect cube

2.1    x3+4x2-20x-48  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+4x2-20x-48  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3-48  

Group 2:  4x2-20x  

Pull out from each group separately :

Group 1:   (x3-48) • (1)

Group 2:   (x-5) • (4x)

Given:

Consider the expression is:

[tex]-75+23+75[/tex]

To find:

The value of the given expression by using the math properties.

Solution:

We have,

[tex]-75+23+75[/tex]

It can be written as:

[tex]=-75+(23+75)[/tex]

[tex]=-75+(75+23)[/tex]                   [Commutative property of addition]  

[tex]=(-75+75)+23[/tex]                   [Associative property of addition]

[tex]=0+23[/tex]

[tex]=23[/tex]

Therefore, the value of the given expression is 23.

Answer:

Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4

Step-by-step explanation:

To evaluate such, a comprehension of linear Cartesian planes are obligated:

Slopes = rise/run

X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.

Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.

Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.

Y- intercept: (4,0)

Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.

*I hope this helps.

For this question it’s asking for it in slope intercept form. So all you need to find is the slope and the y intercept.To find the y int look at where the line passes y. In this case it is y=4, then find slope by finding change in y/ change once which is 1/2, so you get y=1/2x+4

Option C

Height of DEF = 4cm

Therefore ratio = 1:2

Base = 3cm

Height of ABC = 2cm

Area of ABC = 1/2×b×h

= 1/2×3×4

= 6cm²

Option C

Answered by Gauthmath must click thanks and mark brainliest

Answer:

<T = 81

x = 10, angle = 60

Angle 5 and Angle 3 are vertical angles.  They are acute angles

Step-by-step explanation:

Supplementary angles add to 180

(7x+11) + (8x+19) = 180

Combine like terms

15x + 30 = 180

Subtract 30 from each side

15x +30-30 = 180-30

15x= 150

Divide by 15

15x/15 = 150/15

x = 10

We want angle T

T = 7x+11 = 7(10)+11 = 70+11 = 81

The two angles add to 90

5x+10 + 30 = 90

Combine like terms

5x+40 = 90

5x+40-40 = 90-40

5x = 50

Divide by 5

5x/5 = 50/5

x=10

5x+10 = 5(10) +10 = 50+10 = 60

Angle 5 and Angle 3 are vertical angles.  They are acute angles

Step-by-step explanation:

Just using the Pythagoras theorem

Answer:

C could be used to show the formula

Sequence of numbers is collection of ordered numbers. The given sequence is described by formula:

There are three parameters which differentiate between which geometric sequence we're talking about.

The first parameter is the initial value of the sequence.

The second parameter is the quantity by which we multiply previous term to get the next term.

The third parameter is the length of the sequence. It can be finite or infinite.

Suppose the initial term of a geometric sequence is     and the term by which we multiply the previous term to get the next term is  

Then the sequence would look like

(till the terms to which it is defined)

Thus, the nth term of such sequence would be

Tn = ad^n-2

For the given sequence, it can be seen that each term is  divided by 3 to get the next term. We can take it as we're doing multiplication by 1/3

Thus, the given sequence is geometric sequence and its characteristics are:

Thus, ith term is given as:

Ti = 27/3^i-2

We write sequence as:  {an}b_c

where n starts with value b and runs integer values and end up on n = c

For this case, we've n = 1 to 5, thus,

The given sequence is written as:

{27/3^n-1 }5_1

Thus,

The given sequence is described by formula: {27/3^n-1 }5_1

Learn more about geometric sequence here:

brainly.com/question/2735005

#SPJ7

complete question:

Which formula can be used to describe the sequence below?

27,9,3,1,1/3

Answer:

How should we proceed with this question

Answer:

$318.17, out of state college is $161.12 cheaper per month

Step-by-step explanation:

72*24 = 1728 + 410*4 = 1728 + 1640 = 3368 + 450 = 18/12 = $318.17

8700+650*9 = 8700 + 5850 = 14550/9 = 1616.66

8500+400*9 = 8500 + 3600 = 12100 + 1000 = 13100/9 = 1455.56

1616.67 - 1455.56= $161.11 (use $161.12)

Answer:

a) The probability is the p-value of [tex]Z = \frac{X - 22.6}{5.2}[/tex], in which X is the gas mileage of the 2020 Honda Civic.

b) Your dad's truck is 1.65 standard deviations below the mean.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normal with mean 22.6 miles per gallon (mpg) and standard deviation 5.2 mpg.

This means that [tex]\mu = 22.6, \sigma = 5.2[/tex]

a. What proportion of vehicles have worse gas mileage than the 2020 Honda Civic?

This is the p-value of Z, given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - 22.6}{5.2}[/tex]

In which X is the gas mileage of the 2020 Honda Civic.

b. My dad has a truck that gets around 14 mpg. How many standard deviations from the mean is my dad's truck?

This is Z when X = 14. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14 - 22.6}{5.2}[/tex]

[tex]Z = -1.65[/tex]

Your dad's truck is 1.65 standard deviations below the mean.

Answer:

16.17 cm

Step-by-step explanation:

The solution triangle attached below :

To obtain BC ; we use the sine rule ;

a/ sin A = b / sin B

A = (180 - (68 + 24))

A = 180 - 92

A = 88°

a / Sin 88 = 15 / sin 68

Cross multiply :

(a * sin 68) = (15 * sin 88)

a = 14.990862 / sin 68

a = 16.168165

a = 16.168 cm

Answer:

67^2+76+2

that's my answer towards this question

Answer:

1197 miles.

Speed(s) = 63 mph

Time(t) = 19 hours

Distance(d) = ?

We know,

D = S × T

= 63 × 19

= 1197 miles