Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups, and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Draw a conclusion and interpret the decision.
A. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
B. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
C.We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
D. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.

Answer:

The answer is the choose: (D)

[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]

[tex] \large \boxed{volume = l \times b \times h}[/tex]

Through the statement above we have,

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Step-by-step explanation:

A property where sum of any number and its inverse is equal to zero is called additive inverse property.

For example, 11.5 + (-11.5) = 0

Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.

Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

I can not see the photo

9514 1404 393

Answer:

  A.  x -4y

Step-by-step explanation:

The first expression factors as ...

  = 2x(x -4y)

The second expression factors as ...

  = 3x^2(x -4y)

Factors that are common between these factorizations are ...

  x, (x -4y)

Of these, the one on your list of choices is ...

  x -4y

Answer:

5.5

Step-by-step explanation:

5 + 6 =

11 / 2 =

5.5

Answer:

4488ft^3

Step-by-step explanation:

Given data

Dimension of the hole

Length= 5ft

Width= 3ft

Height= 15ft

Volume of Hole=L*W*H

Volume of Hole= 5*3*15

Volume of Hole= 225ft^2

Volume of cylinder

Radius= 10ft

Height = 15ft

Volume of cylinder= πr^2h

Volume of cylinder= 3.142*10^2*15

Volume of cylinder= 3.142*100*15

Volume of cylinder= 4713ft^3

Hence the volume of the shape is

Volume of shape= Volume of cylinder- Volume of hole

Volume of shape= 4713-  225

Volume of shape= 4488ft^3

Answer:

"0.0373" seems to be the appropriate solution.

Step-by-step explanation:

The given values are:

n₁ = 43

n₂ = 35

[tex]\bar{x_1}=217800[/tex]

[tex]\bar{x_2}=204700[/tex]

[tex]\sigma_1=30300[/tex]

[tex]\sigma_2=33800[/tex]

Now,

The test statistic will be:

⇒  [tex]Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }[/tex]

On substituting the given values in the above formula, we get

⇒      [tex]=\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }[/tex]

⇒      [tex]=\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }[/tex]

⇒      [tex]=\frac{13400}{7347.93}[/tex]

⇒      [tex]=1.7828[/tex]

then,

P-value will be:

=  [tex]P(Z>1.7828)[/tex]

=  [tex]0.0373[/tex]

Answer:

lets make it an improper fraction:

17/6 x 8/1(consider 8 over 1) = 22 2/3

Simplify first though

17 x 8 divide by 2 = 4

_____

    6 divide by 2 = 3 (8 and 6 are divisible by 2)

Your new simplified multiplication:

17 x 4

_____ then you can do your multiplication across.

   3

Answer:

0.17

Step-by-step explanation:

First, we can easily calculate that the area of the rectangle is 7 * 5 = 35

Next, to find the probability of choosing a point in the triangle, we need to find the area of the triangle compared to the area of the rectangle. Notice that the square has nothing to do with the solution because we are only interested in finding the probability for the triangle!

Since the area of the triangle is base * height / 2 or  4 * 3/2 = 6, the probability is 6/35. Plugging this value in the calculator gives us 0.17

Answer:

the probability is here down hope you will see

Answer:

(B) The cost to rent a bike

Answer: the cost to rent a bike

Step-by-step explanation:

Answer:

1/16 or 0.0625

Step-by-step explanation:

There are two numbers on the chart that are divisible by 3.

So the odds of spinning and getting one of those on the first try would be 2/8 or 1/4.

The odds are then multiplied by the chance of spinning it again on the second try, which would still be 1/4.

To get: 1/16

I dont know the question sory

Answer:

The answer is C: 120

Step-by-step explanation:

Ok so to solve this, you need to know that when "of" is in an equation, it always means multiply.

So 62% of 196 = 62% * 196.

62%  * 196 = 121.52

Then you need to round 121.52 to the nearest option, which is Option C: 120.

Good luck on your assignment (or whatever this is)!! Have a nice day!!

Answer:

L = the slanted height of the pyramid

Step-by-step explanation:

The surface area of a pyramid is given by :

[tex]SA=\dfrac{1}{2}PL+B[/tex]

Where

P is perimeter of base of pyramid

L is the slant height of the pyramid

B is the area of base.

So, the correct option is (c) "the slanted height of the pyramid".

Given:

The graph of a line a.

To find:

The slope of the line a.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:

[tex]m=\dfrac{-2-1}{0-(-1)}[/tex]

[tex]m=\dfrac{-3}{1}[/tex]

[tex]m=-3[/tex]

The slope of the line a is -3. Therefore, the correct option is C.

Hi there!

[tex]\large\boxed{x = 3.6}[/tex]

We can use the Pythagorean theorem to solve, where:

CT² = CP² + PT²

Thus:

CT² = 5² + 7²

CT² = 74

CT = √74 = 8.60

To solve for x, we must subtract the radius from CT to solve:

x = CT - 5

8.6 - 5 = 3.6

Answer:

Dependent

Step-by-step explanation:

When the probability is AND, it is dependent. You *have* to get the A outcome for A and B to be valid.

Answer:

B

Step-by-step explanation:

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

Answer: i think its e

Step-by-step explanation:......

Answer:

no.A 5/3÷×1/3 is the answer

mag aral ng mabuti para may alm

Step-by-step explanation:

yan ang answer

Answer:

The expression E (3B + A) is defined. The size of the resulting matrix is (1 x 1).

Step-by-step explanation:

Let's consider the following operations between matrices.

E (3B + A)

B is a matrix of (4 x 1), that is, it has 4 rows and 1 column. Let F = 3B. This is the product of a scalar by a matrix, which results in a matrix of the same size as the original. Then, F is a matrix of (4 x 1).

Now, let's consider the sum F + A, which we well call G. We can sum F and A because they are of the same size and we will get G, a matrix of the same size, (4 x 1).

Finally, we have the product E . G. We can multiply 2 matrices of sizes (m x k) and (k x n), that is, the number of columns of the first matrix must be equal to the number of rows of the second matrix, and the resulting matrix has a size (m x n). This is the case because E is (1 x 4) and G is (4 x 1), and the resulting matrix will be (1 x 1).

Answer:

£2200

Step-by-step explanation:

1 computer = £120 + £100

1 computer = £220

10 computers = £220 x 10

10 computers = £2200

Answer:

$2.84 for one batch

Step-by-step explanation:

$0.71 x 4 = $2.84

Answer:

$2.84 for one batch

Step-by-step explanation:

I know this how you ask? $0.71 x 4 = $2.84

Answer:

-28 meters

Step-by-step explanation:

Sea level is represented as 0 meters typically, so for something that is 28 meters below sea level, you would represent that as -28 meters.

Answer:

Sally is correct in claiming that [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.

Step-by-step explanation:

Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Whether they are adjacent or not is irrelevant to whether they are supplementary. Since [tex]70+110=180[/tex], angles [tex]\angle A[/tex] and [tex]\angle B[/tex] are supplementary.