There are 3 seventh- grade boys,4 seventh-grade girls, 5 eighth grade boys, and 8 eight grade girls that have parts in the school play. One cast member will have the responsibility of introducing the play. That cast member will be chosen randomly. What is the probability that the student introducing the play will be a boy?

Answer:

15 Minutes

Step-by-step explanation:

1 hour and 15 minutes 5 = 75 minutes

75 minutes/2.5miles = 30minutes/1 mile

The unit rate is 30 minutes per mile.

0.5 mile x 30 minutes/1mile = 15 minutes

It took Raul 15 minutes to walk 0.5 mile.

Answer:500

explanchion: 1000/50=500

Step-by-step explanation:

\(but : \\ (36790 - x) + x + (37100 - x - B) = 37100 \\ 73890 - x - B = 37100 \\ x + B = 36790 - - - (a) \\ and : \\ (310 - B - x) + x + (36790 - x) = 310 \\ 37100 - B - x = 310 \\ x + B = - 36790 \\ B = 36790 - x\)

Answer:

(36790−x)+x+(37100−x−B)=37100

73890−x−B=37100

x+B=36790−−−(a)

(310−B−x)+x+(36790−x)=310

37100−B−x=310

x+B=−36790

B=36790−x

Step-by-step explanation:

good luck

Answer:

(0,6) (-2,5) (1,3)

Step-by-step explanation:

The dilation transformation gives an image that is similar to the pre-image but have a different size.

A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure.

We have,

scale factor = 3

and, centered at (-7, -6).

Points on the figure are; A(-7, -3), B(-3, -2), C(-4, -5)

The given points relative to the center of dilation are;

(-7 - (-7), -3 - (-6)) = (0, 3)

(-3 - (-7), -2 - (-6)) = (4, 4)

(-4 - (-7), -5 - (-6)) = (3, 1)

and, after the dilation is

3 × (0, 3) = (0, 9)

3 × (4, 4) = (12, 12)

3 × (3, 1) = (9, 3)

Adding the coordinates of the center of dilation are

A' = (0 + (-7) , 9 + (-6)) = (-7, 3)

B' = (12 + (-7) , 12 + (-6)) = (5, 6)

C' = (9 + (-7) , 3 + (-6)) = (2, -3)

Therefore, the image is A'(-7, 3), B'(5, 6), C'(2, -3).

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Answer:

-2/8

-3/12

-4/16

-5/20

-6/24

-7/28

-8/32

a great equivulent of -1/4 would be...

(fraction)

-2/8, -4/16, -16/64

(decimiel)

-.25

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

x=5

Step-by-step explanation:

Answer:

d≤−6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Correct choice is C.

Answer:

the answer would just be 8

Step-by-step explanation:

5 +3 = 8 and it would be a deep green

Answer:

A: 0

Step-by-step explanation:

Important to remember - total displacement is the direct distance between the start and finish points, and isn't always equal to the total distance travelled.

In the case of the table above, the hiker travels the same distance in opposite directions, which actually means they cancel each other out! Traveling 4 km to the west, then 4 km to east means you end up in the same spot, right? So your total displacement is 0! (or 4 - 4, which equals 0). Same happens with the north-south hikes - the hiker ends up in the same spot, as the displacement is equal to 6 - 6 = 0.

So, the total displacement of the hiker is 0. (Even though the hiker travelled 20 km!)

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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Answer: The number of possibilities = 380

Step-by-step explanation:

Given, There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen.

Since, captain and alternate captain comes in order.

Number of ways to choose r things out of n things (when order matters) :

\(^nP_r=\dfrac{n!}{(n-r)!}\)

Number of ways to choose 2 players ( for  captain and alternate captain ) from 20 players :

\(^{20}P_2=\dfrac{20!}{18!}=20\times19=380\)

Hence, the number of possibilities = 380

The section of the research report that may have the information about the statistical parameter used and the findings of statistical tests is the "Results" and ''Reference" section.

The results section usually comes after the introduction and literature review sections of the research report.

A research report is a document that outlines the results of a study conducted by an individual or a group. The research report is a written record of the study and includes information about the research design, data collection, data analysis, and findings. A research report can be written in different formats, depending on the discipline and audience.

Statistics refers to the collection, analysis, interpretation, presentation, and organization of data. Statistics help researchers to draw conclusions from data and make informed decisions. Statistical tests are used to determine whether the results of a study are statistically significant, which means that the results are unlikely to have occurred by chance. Statistical tests are an essential part of the research process, and the findings of these tests are reported in the results section of a research report.

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Answer:

=> 125,650 x 6% = $7,539

Step-by-step explanation:

The total number of pages in Rhett's book is 183 pages.

A solution to an equation is a number that can be substituted for the variable to provide a piece of true number information.

To determine the total number of pages in Rhett's book, we need to solve for p in the equation:

p + 31 = 214

First, we can separate p on one side of the equation by subtracting 31 from both sides:

p + 31 - 31 = 214 - 31

Simplifying:

p = 183

Therefore, the total number of pages in Rhett's book is 183 pages.

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Answer:

4,234 dekaliters converted to milliliters is 42340000.

Step-by-step explanation:

Answer: Your answer is going to be 42340000 millimeters.

Step-by-step explanation:

Find out how much one dekaliter is worth; multiply by that amount.

Answer:

prime number is 17 and the square number is 16 if you subtract them you get 1 .

Answer:

9÷ 1/2 = 9 • 2/1 = 18 bags of trail mix

Step-by-step explanation:

You can solve this problem using division.  Since there are 9 pounds of trail mix to divide up, you would start with 9 pounds and divide it by 1/2 pound to find the number of bags you could make (use the reciprocal of the divisor 1/2)

Answer:

See explanation

Step-by-step explanation:

The matched pair experimental design was used here. In this type of design, the experimental units are paired up . Different individuals receive different treatments. A popular type of matched-pairs design is this; a response variable's effect on an experimental unit is measured before and after a treatment is applied.

Reaction time is the response variable here . It is quantitative because it can be counted or measured.

The treatment was water mixed with orange juice with the scent and taste of vodka and subsequently 40% vodka mixed with orange juice.

Food consumption and intake of caffeinated drinks were controlled and set at a fixed level in this experiment.

Age ,gender and weight may also affect the reaction of the seniors to alcohol .

This treatment served the purpose of a placebo thereby working as a control that helps us to establish a baseline treatment that can be used to compare with the results of other treatments .

The research conclusion is that response times are significantly delayed even for low levels of alcohol consumption in seniors .This conclusion can only be applied to healthy seniors that consume a low level of alcohol.

The height of the bottom of the hole after the second day is 2579 feet.

Mathematicians employ the action of addition to combine numbers. The sum of the given numbers is the outcome of addition, or the total of the given numbers.

As per the given data:

Drilling on first day = 323 feet.

Drilling on second day = drilling on first day + 1933 feet

Drilling on second day = 323 feet + 1933 feet

= 2256 feet

Total drilling = Drilling on first day + Drilling on second day

= 323 feet + 2256 feet

= 2579 feet

Hence, the height of the bottom of the hole after the second day is 2579 feet.

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A triangle has two sides of length 18.9 and 2.9. inequality which describes the possible lengths for the third side, x is 16 < x < 21.8

The triangle inequality theorem states that,

given two lengths of the sides of a triangle, the length of the third side of the triangle must be greater than the difference and less than the sum of the two given sides.

For the two sides a and b of the triangle, the third side c must follow as follows:

(a - b) < c < (a + b)

So let a = 18.9 and b = 2.9

let the length of third side of triangle be x then

(18.9 - 2.9) < x < (18.9 + 2.9)

=> 16 < x < 21.8

So , the third side of the triangle must follow the inequality 16 < x < 21.8

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$2950 is the monthly salary of the other employee.

a. the given information = mean of two salaries =  3210

                                        = salary of 1st employee =3470

the unknown information = salary of 2nd employee = 2950

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

We know that mean, \(m = \frac{\text{sum of the terms}}{\text{number of terms}}\)

Here is given the

mean = 3210

term₁ = 3470                 (salary of one of the employees)

term₂ = ?                          (salary of the 2nd employee)

So, if we simplify

⇒ \(m = \frac{\text{sum of the terms}}{\text{number of terms}}\)

⇒ \(3210 = \frac{3470 + term_2}{2}\)

⇒ \(3210\) × \(2 = 3470 + term_2\)

⇒ \(6420\) = \(3470 + term_2\)

⇒ \(term_2 = 6420 - 3470\)

⇒ \(term_2 = 2950\)

So, the salary of the other employs is $ 2950

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Answer:

angle 2 and angle 7

.........they are exterior alternate angles

Answer:

15550.88

Step-by-step explanation:

the formula for the volume of a cylinder is πr^2(h), so plug in height and radius, and you have the answer.

Answer:

15550.88

Step-by-step explanation:

You use πr^2 h

Answer:

y = 2x + 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x50=100

2x30=60

100x2=200

The product of the exponents is given by A = 2.0 x 10⁸

Given data ,

Let the first number be p = 1 x 10³

Let the second number be q = 2 x 10⁵

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

A = p x q

On simplifying , we get

A = 1 x 10³ x 2 x 10⁵

A = 2 x 10³⁺⁵

A = 2.0 x 10⁸

Hence , the equation is A = 2.0 x 10⁸

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Answer:

D

Step-by-step explanation:

base area = (6 · 4)/2 = 24/2 = 12 cm²

half base length = 6 : 2 = 3 cm

leg = \(\sqrt{3^2+4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\) cm

perimeter = (5·2) + 6 = 10 + 6 = 16 cm

lateral area = 16 · 20 = 320 cm²

surface area = (2 · 12) + 320 = 24 + 320 = 344 cm²

Answer:

-82

Step-by-step explanation:

84/21=4

-25x4=-100

-3x-6=18

-100+18=-82

Answer:

2 feet

Step-by-step explanation:

This is because you have to use ratios:

18:12 :: 3:x

you can then figure out 18/12=1.5, so you have to figure out what what 1/1.5 or 2/3 of what 3 is.  you then multiply 3 by 2/3 and get 2 feet

Answer:

2 ft

Step-by-step explanation:

use cross multiplication

12 is to 18 as x is to 3

12 / 18 = x / 3

12 × 3 = 18x

now solve for x

36 = 18x

divide by 18

2 = x

So a 3 ft baby elephant casts a 2 ft shadow