A debate team consists of five girls and four boys. (Everyone is distinguishable.) How many ways can they stand in line, so that at least two of the girls are standing next to each other?

Answer:

[tex] \boxed{B. \: 16 \: yards} [/tex]

Given:

Length of rectangle (l) = 28 yards

Perimeter of rectangle = 88 yards

Step-by-step explanation:

Let width of rectangle be 'w'

[tex] = > Perimeter \: of \: rectangle = 2(l + w) \\ \\ = > 88 = 2(28 + w) \\ \\ = > \frac{88}{2} = 28 + w \\ \\ = > 44 = 28 + w \\ \\ = > 28 + w = 44 \\ \\ = > w = 44 - 28 \\ \\ = > w = 16 \: yards[/tex]

Width of rectangle = 16 yards

Answer:

[tex]t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173[/tex]  

Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:

[tex] t_{cric}= 2.06[/tex]

So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.

Step-by-step explanation:

Information given

[tex]\bar X_{1}=73.5[/tex] represent the mean for sample of people who do not exercise

[tex]\bar X_{2}=69.3[/tex] represent the mean for sample of people who do exercise

[tex]s_{1}=10.2[/tex] represent the sample standard deviation for 1  

[tex]s_{2}=8.7[/tex] represent the sample standard deviation for 2  

[tex]n_{1}=16[/tex] sample size for the group 1

[tex]n_{2}=12[/tex] sample size for the group 2

[tex]\alpha=0.01[/tex] Significance level

t would represent the statistic

System of hypothesis

We want to verify if the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly, the system of hypothesis would be:  

Null hypothesis:[tex]\mu_{1}-\mu_{2} \leq 0[/tex]  

Alternative hypothesis:[tex]\mu_{1} - \mu_{2}> 0[/tex]  

The statistic for this case would be given by:

[tex]t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}[/tex] (1)  

The degrees of freedom are given by:

[tex]df=n_1 +n_2 -2=16+12-2=26[/tex]  

Replacing the info given we got:

[tex]t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173[/tex]  

Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:

[tex] t_{cric}= 2.06[/tex]

So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.

Answer:

4,245 miles

Step-by-step explanation:

Hello there,

the reason the answer is 4245 is because its says per minute therefore each minute of the rocket is going 283 miles and when it ask how miles did it travel in 15 minutes u just multiply 283 and 15 which gets you the answer 4245 miles

         Hope dis helps.

Step-by-step explanation:

Step 1:  Multiply them together

Miles Per Minute * Minutes = Miles Traveled

283 * 15 = Miles Traveled

4245 = Miles Traveled

Answer: The rocket will travel 4,245 miles

Answer:

27 m² (blue fabric)

9 m² (brown fabric)

Step-by-step explanation:

Area of a triangle = 1/2*base *height

Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)

Area of a square = side² = 3² = 9 m² (brown fabric)

Answer:

8.4102

Step-by-step explanation:

656÷78=8.4102

Answer

8.41025641026

When you do long division that comes out to be your answer.

Answer:

20, -20, -6, 6

Step-by-step explanation:

x and y could be negative or positive.

Answer:

Answer shown from explanation

Step-by-step explanation:

|x| means modulus of x such that positive or negative value of x evaluates to a positive value.

|x| = 7 is the same as x = -7 and x = 7

Similarly,

|y| = 13 is the same as y = -13 and y= 13;

Hence the possible values are;

7+13= 20

7-13= -6

-7-13= -20

-7 + 13 = 6

Average for 3 races to be 28.0, the total times need to equal 28 x 3 = 84 seconds.

84 - 26.3 - 30.3 = 27.4

Her third time was 27.4 seconds.

Answer:

27.4 seconds

Step-by-step explanation:

Answer:

your answer is B my kind friend

Step-by-step explanation:

Answer:

Boys 4/9 ; 5/9 Girls

Step-by-step explanation

Boys 4:5 Girls

Total pupil = 9

The fraction of boys in the class is 4/9

The fraction of girls in the class is 5/9

Answer: y2 + y - 12

Step-by-step explanation:

(y + 4)(y - 3)

y2 -3y + 4y -12

y2 +y -12

Let [tex]y=ab^x,[/tex] as described in the problem statement. Plugging in [tex]x=2[/tex] and [tex]x=5[/tex] gives us the equations [tex]18=ab^2[/tex] and [tex]60.75=ab^5.[/tex] Since [tex]a,b[/tex] are nonzero, we divide the second equation by the first to get [tex]\frac{27}{8}=b^3,[/tex] which means that [tex]b=\frac{3}{2},[/tex] after taking the cube root. Plugging this value for [tex]b[/tex] into the first equation, we now have [tex]18=a(3/2)^2=\frac{9a}{4}.[/tex] Solving gives [tex]a=8,[/tex] and our desired exponential equation is [tex]\boxed{y=8\left(\frac{3}{2}\right)^x}.[/tex]

Answer:

Step-by-step explanation:

I chose the first one. To compare the two products and find the better buy, let's find the cost of 1 ounce of cereal in each box. The unit rate for the left box will be $2.15 / 14 = $0.15 per ounce. The unit rate for the right box will be $3.40 / 20 = $0.17 per ounce. Because 0.15 < 0.17, the box on the left is the better buy. Hope this helps!

Answer:

2.15/14=0.153

3.4/20=0.17

Option A. is better because the price is smaller

4.50/3=1.5

5.96/4=1.49

option b is better

2.41/4=0.6025

1.8/2=0.9

option b is better

Step-by-step explanation:

Answer:

Check the table.

Step-by-step explanation:

For edmentum.

Answer:

Step-by-step explanation:

Complete Question

With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of A customers, the waiting times have a standard deviation of B minutes.

a) Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with individual lines.

If we let italic sigma be the population standard deviation of waiting times for a single line, what are the hypotheses for this test?

Use the traditional method to test the claim. Assume the population of waiting times is normally distributed.

Calculate the test statistic for this test, italic chi to the power of 2 . Round your answer to three digits to the right of the decimal point.

What is the critical value for this left-tailed test? Round your answer to three digits to the right of the decimal point.

Based on the critical value and test statistic, should the null hypothesis be rejected?

Since the claim is the alternative hypothesis, what final conclusion can you draw from this test?

1) Null and Alternative hypothesis

Null hypothesis: H₀ = 5.7

and Alternative hypothesis: H₁ < 5.7

2) Test Statistic

[tex]x^2=\frac{(n-1)s^2}{\sigma^2}[/tex]

where s is the standard deviation = 4.9

n sample size = 29

[tex]=\frac{28 \times 4.9^2}{5.7^2} \\\\=20.692[/tex]

complete solution is detailed in the image

Answer:

The function g(x) is odd.

Step-by-step explanation:

Even and odd functions:

If for every value of x, f(x) = f(-x), the function is even.

If for every value of x, f(x) = -f(x), the function is odd.

If those statements are false, the function is neither even nor odd.

In this question:

[tex]g(x) = x^{3}[/tex]

[tex]g(-x) = (-x)^{3} = -x^{3} = -g(x)[/tex]

Since g(x) = -g(-x), the function g(x) is odd.

Answer:

The answer is symmetric ; as there is no addition , subtraction , multiplication , division , but equal terms are given .

Answer:

exact form: log(1024)

decimal form : 3.01029995

Step-by-step explanation:

Answer:

2+2= 4

Step-by-step explanation:

1+1+1+1= 4

Answer:

Radius: 12

Diameter: 24

Step-by-step explanation:

Diameter is the width of the circle across while radius is the length from the centre of the circle outward.

Answer:

2 (x - 5) (x^2 + 5 x + 25)

Step-by-step explanation:

Factor the following:

2 x^3 - 250

Factor 2 out of 2 x^3 - 250:

2 (x^3 - 125)

x^3 - 125 = x^3 - 5^3:

2 (x^3 - 5^3)

Factor the difference of two cubes. x^3 - 5^3 = (x - 5) (x^2 + x 5 + 5^2):

2 (x - 5) (x^2 + 5 x + 5^2)

5^2 = 25:

Answer: 2 (x - 5) (x^2 + 5 x + 25)

Answer:

Line B - red line

Step-by-step explanation:

Answer:

1: 42

2: 42

Step-by-step explanation:

1: Subtract and plus the first equation using a calculator

2: Now subtract and plus the second equation using a calculator

Answers:

1: 42

2: 42

Hope this helps.

Answer:

hmmmmmm

Step-by-step explanation:

42 easyyyyyyyyyyyyyyyyyyyyyy tyyyyyb y u y y y y y y

Answer:

D About 2000 times

Step-by-step explanation:

About 2000 times

Saturn = 5.683 × 10^32

Mercury = 3.302 × 10^29

Unit of measurement is irrelevant in ratios.

Answer:

Step-by-step explanation:

You can observe a representation of this problem in the image attached.

Notice that the grass seed is gonna be put only in the green zone, out of the pond. So, we need to find each area and subtract them.

[tex]A_{garden}= 14 \times 9 =126 \ m^{2} \\A_{pond}=2.4 \times 3.8 = 9.12 \ m^{2}[/tex]

The difference is

[tex]A_{seed}=126 - 9.12 = 116.88 \ m^{2}[/tex]

Now, according to the problem, one box of grass seed covers 15 meters of the garden, let's divide this number with the seed area.

[tex]n=\frac{116.88}{15} \approx 7.792[/tex]

Therefore, Kayla needs 8 boxes of grass seed to cover the whole garden without including the pond.

Answer:

m=42

Step-by-step explanation:

the ratio of the shorter sides is 6/7 and the ratio of the longer sides is 36/m

so m=36*7/6=42.

Answer:

The volume of air that can be hold is 267.9 inches³.

Step-by-step explanation:

Given that the volume of sphere formula is V = 4/3×π×r³ where r represents radius of sphere. Then substitute the values :

[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

Let π = 3.14,

Let r = 4,

[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]

[tex]v = \frac{4}{3} \times 200.96[/tex]

[tex]v = 267.9 \: {inches}^{3} (near.tenth)[/tex]

The soccer can hold air up to the  volume of 267.9 cubic inches.

The measure of the capacity that an object holds is called volume.

[tex]v = \frac{4}{3} \pi r^{3}[/tex]

Where, v is the volume of sphere

r is the radius of sphere

π = 3.14

According to the given question

The radius of soccer is 4 inches.

Therefore,

The volume of the soccer = [tex]\frac{4}{3}\pi (4)^{3}[/tex]            (shape of soccer is spherical)

Volume of soccer = [tex]\frac{4}{3} (3.14)(64)[/tex] [tex]= 267.946 cubic inches[/tex]

Hence, the soccer can hold air up to the  volume of 267.9 cubic inches.

Learn more about the volume of sphere here:

https://brainly.com/question/9994313

#SPJ2

Answer:

The values are [tex]x=2\sqrt{2}[/tex] and [tex]y=2\sqrt{6}[/tex].

Step-by-step explanation:

A right triangle is a type of triangle that has one angle that measures 90°.

In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse.

                                             [tex]\sin(\theta)=\frac{opposite \:site}{hypotenuse}[/tex]

To find the value of x we use the above definition. From the diagram we can see that the angle is 30º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,

[tex]\sin(30)=\frac{x}{4\sqrt{2} }\\\\\frac{x}{4\sqrt{2}}=\sin \left(30^{\circ \:}\right)\\\\\frac{8x}{4\sqrt{2}}=8\sin \left(30^{\circ \:}\right)\\\\\sqrt{2}x=4\\\\\frac{\sqrt{2}x}{\sqrt{2}}=\frac{4}{\sqrt{2}}\\\\x=2\sqrt{2}[/tex]

To find the value of y we use the above definition. From the diagram we can see that the angle is 60º and the hypotenuse is [tex]4\sqrt{2}[/tex]. Therefore,

[tex]\sin(60)=\frac{y}{4\sqrt{2} }\\\\\frac{y}{4\sqrt{2}}=\sin \left(60^{\circ \:}\right)\\\\\frac{8y}{4\sqrt{2}}=8\sin \left(60^{\circ \:}\right)\\\\\sqrt{2}y=4\sqrt{3}\\\\\frac{\sqrt{2}y}{\sqrt{2}}=\frac{4\sqrt{3}}{\sqrt{2}}\\\\y=2\sqrt{6}[/tex]

Answer:

C.

Step-by-step explanation:

trust me its correct on EDGE2021

Answer:

  -4, -2, 2, 8

Step-by-step explanation:

The first four terms will be found by evaluating the expression for values of n that are 1, 2, 3, 4. Evaluating for n=1 is sufficient to determine the correct answer choice:

  n(n -1) -4

  1(1 -1) -4 = -4 . . . . matches the third choice

Answer:

Perimeter = 69.4 cm

Area = 299.92 square cm

Step-by-step explanation:

Given:

length of rectangle (l) = 18.4 cm

Width of rectangle (w) = 16.3 cm

a) Perimeter of rectangle

    = 2( l + w)

    = 2 ( 18.4+16.3)

     = 2 * 34.7

     = 69.4 cm

b) Area of rectangle = lw = 18.4*16.3 = 299.92 square cm