The value of b when solving the equation 2 (b + 12) = 16 is:
A) 6
B-6
C 4
D) -4

The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

Learn more about the angle bisector on:

https://brainly.com/question/24334771

#SPJ1

The f-distribution's curve is positively skewed. Hence, the statement is true.

We have to check whether the statement is true and false.

The given statement is "The f-distribution's curve is positively skewed."

We can compare two populations using a F statistic thanks to the F distribution. The F distribution can be used to detect whether there is a significant difference in the variance between the means of two populations for ANOVA testing. Regression analysis can also make use of the F distribution to assess how well various models fit together.

The F distribution's graph is always positive and slanted to the right, while the form might vary based on the numerator and denominator degrees of freedom.

The f-distribution's curve is positively skewed. Hence, the statement is true.

To learn more about f-distribution's curve link is here

brainly.com/question/29631357

#SPJ4

When 36 reindeer are chosen at random, the probability that the mean weight is less than 100 kg is 0.1492.

A standard error is the standard deviation of its sampling distribution or an interpretation of that standard deviation.

Given,

Mean of the weights = 102.4 kg

Standard deviation = 13.9 kg

To determine the probability that the mean weight of 36 reindeer will be less than 100 kg, first compute the standard error using the formula,standard error, [tex]\sigma_x=\frac{\sigma}{\sqrt{n}}[/tex]

Where, [tex]\sigma[/tex]=standard deviation

n= number of reindeer

substitute the values in the formula,

[tex]\sigma_x=\frac{13.9}{\sqrt{36}}\\\\\sigma_x=2.31667[/tex]

Now,

[tex]P(x < 100)=P(x < \frac{100-102.4}{2.316})\\\\=P(z < -1.04)[/tex]

from z-score table,

=0.1492

Thus, the probability the their mean weight is less than 100 kg is 0.1492.

To learn more standard error refer here

https://brainly.com/question/13179711

#SPJ4

Your question is incomplete, here is the complete question.

The weight of male reindeer of the R. Santa Claus subspecies is normally distributed with mean 102.4 kg and standard deviation 13.9 kg

if 36 reindeer are randomly selected, what is the probability their mean weight is less than 100kg?

Coordinates of equation 3x + 2y = 18 are (0.9) and (6,0).

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y). Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane. Meaning of a Coordinate Plane. A coordinate plane is a 2D plane that is created by the junction of the x-axis and y-axis, two perpendicular lines.

Given

Equation

3x + 2y = 18

For coordinates,

When x is 0

3(0) + 2y =18

2y = 18

y = 9

Points (0,9)

When y is 0.

3x + 2(0) = 18

3x = 18

x = 6

Points (6,0)

To learn more about coordinate, visit:

https://brainly.com/question/27749090

#SPJ1

Answer:

m < 1 OR m > 7

Step-by-step explanation:

3m + 2 < 5

3m < 3

m < 1

(m + 1) / 2 > 4

m + 1 > 8

m > 7

Rick should order part number G371-7 So the option A is the correct Answer

What is a part number ?

Part designs or materials are identified by part numbers, which are sometimes abbreviated as PN, P/N, part no., or part #. Its goal is to make referencing to that thing simpler. A part number clearly identifies a part design both inside and occasionally outside of a single organization. For instance, it is simpler to identify a screw as "HSC0424PP" rather than "Hardware, screw, machine, 4-40, 3/4" long, pan head, Phillips." The part number in this illustration is "HSC0424PP," which may be prefixed in database fields as "PN HSC0424PP" or "P/N HSC0424PP."

A serial number is a specific identifier of a specific instantiation of a part design, much as a part number identifies a component design (regardless of its instantiations). To put it another way, a part number designates each specific (physical) item as having been manufactured to a specific, original design;

As part number G371-7 fits perfectly to the desired requirement of float diameter of less than 8 inches, weigh more than 1 pound, and fit a 5/16-SAE spud connection that's why it is the correct answer

Learn more about part number from the link below

https://brainly.com/question/1287312

#SPJ1

It will take t=18 months to take for the account to have $5000 in it.

The proportion charged for borrowing money by the lender is known as the interest rate. An actual cost of borrowing should be reflected by the APR, or annual percentage rate. Along with interest rate, the APR calculation also accounts for fees and discount points. In relation to the amount lent, deposited, or borrowed, the amount of interest due each period is expressed as an interest rate (called the principal sum).

An annual interest rate is a rate that is calculated over a year. Over different time frames, such a month, other interest rates are in effect.

FV=PV[tex](1+r)^{t}[/tex]

Given,

FV=5000

PV=3000

r=5%

r=5/100

r=0.05

5000=3000[tex](1+0.05)^{t}[/tex]

[tex](1+0.05)^{t}[/tex]=1.667

t log(1.05)=log(1.667)

t=log(1.667)-log(0.05)

t=1.5 years

t=1.5×12

t=18 months

Therefore, It will take t=18 months to take for the account to have $5000 in it.

To know more about interest rate, visit:

https://brainly.com/question/13324776

#SPJ1

An Amazon package shipped to Samantha. with height of 15cm, length of 100cm, and width of 20 cm, the volume of the package is

Volume of a box is calculated by the product of length, width and height OR area multiplied by height

The area is solve by the product of length and width

area = length * width

length = 100  

width = 20

area = 100 * 20

area = 2000 square cm

volume =  area * height

volume = 2000 * 15

volume = 30 000 cubic cm

The volume of the package is 30 000 square cm

Learn more about volume calculations at:

https://brainly.com/question/463363

#SPJ1

Answer:All I know is that it’s not < or > but It might be ≤

Step-by-step explanation: Bye the way, you can only give brainliest when there is two questions.

[tex]\leq[/tex]

Step-by-step explanation:

The park's total water use when the new attraction is built will be 2406.8  × 10³gallons.

Logic is the manipulation of mathematical signifiers, whereas algebra is the study of those signifiers.

The PEMDAS concept stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This guideline must be adhered to in order to provide an accurate solution to the issue.

Total water consumption for a water park's pools, slides, and other features is 2.4 *10⁶ gallons. A ride that would use an additional 6.8 × 10³gallons of water is planned.

Following the completion of the new attraction, the park will have utilized a total of

⇒ 2.4 × 10⁶ + 6.8 × 10³

⇒ 2400 × 10³ + 6.8 × 10³

⇒ 2406.8 × 10³

After the new attraction is constructed, the park will have used 2406.8 × 10³ total gallons of water.

More about the Algebra link is given below.

brainly.com/question/24875240

#SPJ1

Answer:

75% of 600 is 450

In order to regain the amount of water Joe losed during practice he should drink 10 cups of water.

A pound is equivalent to 453.59 mg, whereas a cup is equivalent to 236.59 ml.

You may roughly calculate that 2 cups equal 1 pound of water. The density should be 1 mg/ml if the fluid is mostly water.

The number of cups will be,

6 pounds * 453.59 (mg/pounds) * (1mg/ml) / (236.59 ml/cups)

= 10 cups .

Water is a crucial component for all living things, including people and other animals. Naturally, the water must go somewhere when it ascends the plant. Water loss will result from water evaporation (transpiration in plants)

Our breath, skin, urine, and sweat all cause water loss. A person's body will typically consume 2.5 L of water every day and expend the same amount. Your body will "inform you" you are thirsty and need to drink water if you get dehydrated (Figure 5). You have undoubtedly also noticed that when you drink less water, your pee is more concentrated.

To learn more about water

brainly.com/question/28465561

#SPJ4

The area of the rhombus is  49√6. Option B

The formula for calculating the area of a rhombus is expressed as;

Area = pq/2

Where;

p and q are the diagonals of the rhombus

From the diagram shown, let's determine the value of p

Using the trigonometric identity;

Tan θ = opposite/adjacent

Substitute the values into the formula, we have;

tan 60 = p/7

Find the value of tan 60 and then substitute

√3 = p/7

cross multiply

p = 7√3

But;

Area = 7√3 × 7√3/2

Area = 49√6

Hence, the value is 49√6

Learn more about rhombus here:

https://brainly.com/question/26154016

#SPJ1

The point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.

The point estimate of P, is defined as the proportion of successes in the sample.

P' = X/N ; where X = number of successes; N = total trials.

Here, N = 1000

According to the Child outlook file, number of "yes" = 240.

Hence, P' = 240/1000

P' = 0.24

Therefore, the point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.

To learn more about point estimate, visit:

brainly.com/question/30057704

#SPJ4

The number that must be multiplied by each side of the equation 2/5x=10 to produce the equivalent equation is x = 4.

An equation is a statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It should be noted that equivalent equations are the same.

Algebraic equations with equivalent solutions or roots are called equivalent equations. An equivalent equation is one that is created by adding or subtracting the same quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero number. If two systems of equations have the same solution, they are equivalent.

The equation is illustrated as:

2/5 = x/10

Cross multiply

5x = 2 × 10

5x = 20

Divide

x = 20 / 5

x = 4

The value or x is 4.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer: 19.71 Million.

Answer:

C. thousandths

Step-by-step explanation:

3 would be tenths, 7 would be hundredths, and 4 would be thousandths.

Answer:

c

Step-by-step explanation:

3 tenths.

7 hundredths

and 4 thousandths

Talia collects survey data that indicate that students who spend more time preparing for the ap test tend to score better than other students. talia can now conclude that a relationship exists between studying and exam grades

What is the relationship between studying and exam grades ?

The grade a student receives on tests is positively correlated with the number of hours they spend studying. You would anticipate a student's grade to increase as they spend more time studying.

What is the meaning of score and survey?

Survey - To view anything in depth, especially to inspect, examine, or appraise something formally or officially in order to determine condition, value, etc. to take a general or comprehensive view of or appraise, as a situation, area of study, etc.

Score -  It is used to inquire about what will happen, particularly when arrangements are unclear

Talia may now draw the conclusion that there is a connection between studying and exam results.

To learn more about survey visit:

brainly.com/question/17373064

#SPJ4

We can solve this question using the concept Sets and Relations . The complement of set A is (1,3,5,7,9).

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. Sets are collections of clearly defined objects, relations show connections between individuals in two sets A and B, and functions are a special kind of relation where each element in A has exactly one relationship (or no more than one) with each element in B.

So the given universal set S contains all positive  integers less than 10.

  So S={1,2,3,4,5,6,7,8,9}

  Set A={2,4,6,8}

Complement of Set A is nothing but the elements missing in the Set A.

  so complement of Set A= {1,3,5,7,9}

We can solve this question using the concept Sets and Relations . The complement of set A is (1,3,5,7,9).

To refer more about Sets and Relations, visit:

https://brainly.com/question/28384488

#SPJ1

True, with a probability sample, the researcher has some savings in cost and/or time but at the expense of using a sample that is not truly representative of the population

Probability sampling refers to the selection of a sample from a population when this selection is based on the principle of randomization, that is, random selection or chance. Probability sampling is more complex, more time-consuming, and usually more costly than non-probability sampling. However, because units from the population are randomly selected and each unit’s selection probability can be calculated, reliable estimates can be produced and statistical inferences can be made about the population.

In a probability sampling method, in order to reduce cost and/or time, researchers resort to a selection process that is inherently biased. As a result, they use a sample for research that is not truly representative of the population.

So,the answer is true, with a probability sample the researcher has some savings in cost and/or time but at the expense of using a sample that is not truly representative of the population

To learn more about  Probability sample visit: https://brainly.com/question/28016369

#SPJ4

What is true about the individual angles that are linear pairs is that; They are right angles

Linear pairs is also called supplementary angles and it means that both angles sum up to 180 degrees.

Now, we are told that Dave constructed two angles that are congruent to each other. Now, if both angles are congruent to each other, then it means that they are equal and since they are linear pairs, they still sum up to 180 degrees.

If we denote these congruent angles as x, then it means that;

x + x = 180

2x = 180

x = 180/2

x = 90°

Thus, we can say that both of the angles are right angles.

Read more about Linear Pairs at; https://brainly.com/question/18944511

#SPJ1

The expression  5w + 2w²   represents the area, in square feet, for each cabin size

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

Area of a rectangle = length * width = l*w

length is equal to 5 feet more than twice the width.

=> l= 5+2w

So, area = ( 5+2w  ) *w

             = 5w + 2w²  

Thus, the expression  5w + 2w²   represents the area, in square feet, for each cabin size

To learn more about the expression from the given link

https://brainly.com/question/1859113

#SPJ1

Answer:

Step-by-step explanation:

The axis of symmetry of a parabolic function of the form y = ax^2 + bx + c is a vertical line that divides the graph of the function into two mirror images. The axis of symmetry of the function y = x^2 + 4x - 11 is the vertical line x = -2.

The vertex of a parabolic function is the highest or lowest point on the graph, depending on the direction of the parabola. The coordinates of the vertex can be found by completing the square.

To find the coordinates of the vertex of the function y = x^2 + 4x - 11, we can rewrite the function as follows:

y = (x^2 + 4x) - 11

= x^2 + 4x + (-11)

= (x^2 + 4x + 4) + (-11 + 4)

= (x + 2)^2 - 7

Mitchell's family will take 4 1/8 hours of time to cook the meat.

Maltiplication is reffered as adding multiple times. It is a one of the fundamental Mathematical operation. The symbol '×' used to denote the Maltiplication.

We use Multiplication to simplify the addition of the same number multiple times.

Here in this problem we use multiplication to solve the problem.

Here we have

Mitchell's family is slow cooking 2 and 3-fourths pounds of meat.

=> 2 and 3-fourth = 2 3/4 = 11/4 pounds of meat

The recipe says to cook the meat for 1 and a half hours per pound

For 1 pound of meat = 1 and 1/2 hours = 3/2 hours

The time required to cook 11/4 pounds = (11/4)(3/2) hours

= [tex]\frac{11}{4} (\frac{3}{2})[/tex] = [tex]\frac{33}{8}[/tex] = 4 (1/8) hours  

Therefore,

Mitchell's family will take 4 1/8 hours of time to cook the meat.

Learn more about Multiplication problems at

https://brainly.com/question/19086244

#SPJ1

The width of the rectangle is, 2.5 inches.

What is rectangle?

A rectangle is a quadrilateral with four right angles in the Euclidean plane. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

Given:  The length of a rectangle is 16.8 inches ,  with an area of 42 square inches.

Since Area is 2- dimensional, it has length and width.

Area of Rectangle in square unit is given by multiplying the length by width.

The formula is given by:

Area of rectangle(A) = Length *width....(1)

Substitute the value of Area (A) = 42 square inches and length  = 16.8 inches in equation [1], to solve for width(w).

42 = 16.8*w

w= 2.5 inches

Therefore, the width of rectangle is, 2.5 inches.

To learn more about equiangular quadrilateral, visit:https://brainly.com/question/29755822

#SPJ1

The missing statements and reasons to proof that ∠1 is supplementary to ∠3 are:

S1: Line m is parallel to line n.

S2: ∠1 = ∠2

R3:  Corresponding angles postulate

R5: Supplement Postulate

S7:  m∠1 + m∠3 = m∠2 + m∠3

What are Supplementary Angles?

Supplementary angles, when added together will give us a sum of 180°.

Linear pair angles and corresponding angles are supplementary.

Thus, to prove that ∠1 is supplementary to ∠3:

We are given that lines m and n are parallel.

∠1 and ∠3 are corresponding angles.

So therefore, ∠1 = ∠3 by the corresponding angles postulate.

∠2 and ∠3 are linear pair, their sum therefore equals 180° based on the definition of supplementary angles.

Based on the substitution property, we have the following:

m∠2 + m∠3 = m∠1 + m∠3

m∠1+m∠3=180°

Therefore, ∠1 is supplementary to ∠3 based on the definition of supplementary.

The missing statements and reasons to proof that ∠1 is supplementary to ∠3 are:

S1: Line m is parallel to line n.

S2: ∠1 = ∠2

R3:  Corresponding angles postulate

R5: Supplement Postulate

S7:  m∠1 + m∠3 = m∠2 + m∠3

To know more about supplementary angles, click on the link

https://brainly.com/question/8992900

#SPJ1

Answer: 12=2

x y =3 so 2x3+2x3=12 (2x3 = 6) so 6+6=2 6+6=12 so therefore 12=2

The roots of x² - 9x + 38 are x = (9 + i√71 )/ 2 and x = (9 - i√71 )/ 2

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

x² - 9x + 38 = 0

It is in the form of ax² + bx + c

a = 1

b = -9

c = 38

Using the determinant formula to find the roots.

x = -b ± √(b² - 4ac) / 2a

x = 9 ± √(81 - 152) / 2

x = 9 ± i√71 / 2

x = (9 + i√71 )/ 2 and x = (9 - i√71 )/ 2

Thus,

The roots are x = (9 + i√71 )/ 2 and x = (9 - i√71 )/ 2

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ1