A researcher in sports equipment is investigating the design of racing swimsuits for women. The researcher selected a sample of 40 women swimmers from high school swim teams in the state and randomly assigned each swimmer to one of two groups: suit A or suit B. The women will wear the assigned suits for a certain race, and the mean swim times for each group will be recorded. The difference in the sample mean swim times will be calculated. Which of the following is the appropriate inference procedure for analyzing the results?
A. A two-sample t-interval for a difference between sample means
B. A two-sample t-interval for a difference between population means
C. A one-sample t-interval for a sample mean
D. A one-sample t-interval for a population mean
E. A matched pairs t-interval for a mean difference

Answer:

The answer is "[tex]8.5\times 10^{-9}[/tex]".

Step-by-step explanation:

Following are the calculation of the multinomial distribution probability:

[tex]\to (\frac{10!}{(2! \times 5! \times 3!)})\times(0.2)^2 \times(0.5)^5 \times (0.3)^3 \\\\ \to (\frac{10!}{(2! \times 5! \times 3!)})\times 0.04 \times 0.03125 \times 0.027\\\\ \to (\frac{10\times9\times8 \times7 \times6 \times5! }{(2! \times 5! \times 3!)})\times 3.37 \times 10^{-5}\\\\ \to (\frac{10\times9\times8 \times7 \times6 }{(2 \times 1 \times 3 \times 2 \times 1 )})\times 3.37 \times 10^{-5}\\\\[/tex]

[tex]\to (\frac{10\times9\times8 \times7 }{(2)})\times 3.37 \times 10^{-5}\\\\ \to (5 \times 9 \times 8 \times 7 )\times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 2520 \times 3.37 \times 10^{-5}\\\\\to 8492.4 \times 10^{-5}\\\\\to 8.4924\times 10^{-9}\\\\ \to 8.5\times 10^{-9}[/tex]

Answer: one solution; that solution is x = -7/2 which is the same as x = -3.5

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Work Shown:

The idea is to get all the x terms to one side, and the other stuff to the other side. We follow PEMDAS in reverse to help isolate x

12x+24 = 6x+3

12x+24-24 = 6x+3-24 .... subtract 24 from both sides

12x = 6x-21

12x-6x = 6x-21-6x ...... subtract 6x from both sides

6x = -21 ...... now the x terms are all on one side

6x/6 = -21/6 ...... dividing both sides by 6

x = -21/6

x = (-7*3)/(2*3)

x = -7/2

x = -3.5

This is the only solution. Whenever we have different coefficients for the x terms like this, we can see right off the bat we have exactly one solution. Consider graphing y = 12x+24 and y = 6x+3. The two lines will intersect at the point (x,y) where the x coordinate is the solution to the original equation. There is only one point of intersection which corresponds to exactly one solution.

The thing to notice about y = 12x+24 and y = 6x+3 is that the slopes are not the same, so the lines aren't parallel. Parallel lines always have equal slopes but different y intercepts. If your teacher gave you 12x+24 = 12x+3, then the two lines to graph would be y = 12x+24 and y = 12x+3. At this point, we would get two parallel lines that don't intersect, and therefore we wouldn't get any solutions here.

Answer:

mathematics

Step-by-step explanation:

Example....

"She teaches math and science" .

Answer:

y-intercept is ( 0 , 5 )

Step-by-step explanation:

Answer:

5 divided by 1/2 try that

Step-by-step explanation:

yeah tr this

Answer:

The answer is 10

Step-by-step explanation:

5/(1/2) or 5 times the reciprocal of (1/2) known as 2 would be 10

Answer:

51ft, 17ft, 39ft

Step-by-step explanation:

longest = x

2nd = [tex]\frac{1}{3}[/tex]x

3rd = x - 12

P = 107

a + b + c = Perimeter

x + [tex]\frac{1}{3}[/tex]x + x - 12 = 107

[tex]\frac{7}{3}[/tex]x -12 = 107

[tex]\frac{7}{3}[/tex]x = 119

x = 51

[tex]\frac{1}{3}[/tex]x = 17

x - 12 = 39

Answer:

d = √29

Step-by-step explanation:

Use the distance formula d = √(x2 - x1)² + (y2 - y1)²

d = √(x2 - x1)² + (y2 - y1)²

d = √(-8 - -6)² + (3 - 8)²

d = √(-2)² + (5)²

d = √4 + 25

d = √29

Answer:

a = 8 m

Step-by-step explanation:

Since, given is an isosceles right triangle.

So, by Pythagoras theorem:

[tex] {a}^{2} + {a}^{2} = {(8 \sqrt{2} )}^{2} \\ \\ 2 {a}^{2} = 128 \\ \\ {a}^{2} = \frac{128}{2} \\ \\ {a}^{2} = 64 \\ \\ a = \sqrt{64} \\ \\ a = 8 \: m[/tex]

Answer:

5206 cm^2

Step-by-step explanation:

2(31×23 + 31×35 + 23×35)

2(713 + 1085 + 805)

2(2603)

5206

Given:

Consider the given expression is

[tex]\log_59+\log_521-\log_57[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\log_59+\log_521-\log_57[/tex]

It can be written as

[tex]=\log_5(9\times 21)-\log_57[/tex]       [tex][\because \log_ax+\log_ay=log_a(xy)][/tex]

[tex]=\log_5\dfrac{9\times 21}{7}[/tex]       [tex][\because \log_ax-\log_ay=log_a\dfrac{x}{y}][/tex]

[tex]=\log_5(9\times 3)[/tex]

[tex]=\log_527[/tex]

Therefore, the simplified form of the given expression is [tex]\log_527[/tex].

Answer:

12x+15y

Step-by-step explanation:

Answer:

-3p+21≥21

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

1/5 · 2/1 = 2/5

Good luck, I hope this helps :)

Answer:

FCB, I think.

Step-by-step explanation:

2 angles are supplementary when they add up to 180°

Answer:

1/8 gallon per half quart

Step-by-step explanation:

One quart is 1/4 gallon, so half quart is 1/8 gallon

Answer:

this seems like a weird question but 0.125

Answer:

Step-by-step explanation:

G and H are parallel lines and J is the transversal.

∠FDN is corresponding angle with ∠HKJ.

The corresponding angles postulate states that, when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent.

Answer:

[tex]y = 25x[/tex]

Step-by-step explanation:

Given

[tex]Rate = 25[/tex]

Required

Cost of x pounds

To do this we simply multiply x by the rate

[tex]y =Rate * x[/tex]

[tex]y = 25 * x[/tex]

[tex]y = 25x[/tex]

Step-by-step explanation:

perimeter of triangle = sum of all sides

Answer:

You would have a 95.98 chance of NOT winning.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/24.87

100/2487 probability of winning (about 4% chance), the probability of losing is then

(2487-100)/2487

2387/2487 (about 96% chance) of losing.

Answer: x = 7

Step-by-step explanation:

The two angles depicted in the image are vertical angles since they are a pair of opposite angles made by two intersecting lines. Vertical angles are always congruent meaning that the two angles in the picture are equal. Therefore:

9x + 16 = 12x - 5

-3x + 16 = -5

-3x = -21

x = 7

Answer:MY BUTT

Step-by-step explanation: WHY ARE U WAITING FOR OTHERS TO ANSWER YOUR QUSTION

Answer:

4 teachers for 28 students

Step-by-step explanation:

28/7 = 4

Answer:

36 teachers total

Step-by-step explanation: