A company has offices in two different countries. The 125 employees at location A have a mean commute time of 40 minutes and a standard deviation of 15 minutes. The 250 employees at location B have a mean and standard deviation of 35 and 10 minutes, respectively.
Every month, the company takes separate random samples of 20 employees from each location for a survey. Each time, they look at the difference in the mean commute time sampled from each location

Consider the formula: ...
Why is it not appropriate to use this formula for the standard deviation of ...
Choose
A. The samples are not independent of each other.
B. We cannot assume independence for the employees sampled from location A.
C. We cannot assume independence for the employees sampled from location B.

The ratio of boys to girls is 74:62

74 represents the boys

62 represents the girls

Answer:

115 I think is the answer

Answer:

[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

Step-by-step explanation:

To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3[tex]\pi[/tex]/2]

Proof -

We know that,

Average value of f in the interval [a, b] is -

[tex]f_{ave}[/tex] = [tex]\frac{1}{b - a}\int\limits^b_a {f(x)} \, dx[/tex]

Now,

Here a = 0, b = [tex]\frac{3\pi }{2}[/tex], f(x) = [tex]5sec^{2}(\frac{x}{6} )[/tex]

Now,

[tex]f_{ave}[/tex] = [tex]\frac{1}{\frac{3\pi }{2} - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx[/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ][/tex]

      = [tex]{\frac{10 }{3\pi }}[ {1 - 0 } ][/tex]

      = [tex]{\frac{10 }{3\pi }[/tex]

⇒[tex]f_{ave}[/tex] = [tex]{\frac{10 }{3\pi }[/tex]

Answer:

The first picture is 72 ft²

Step-by-step explanation:

Answer for 1:

242

Answer for 2:

214.57

Answer for 3:

88.79

Explanation:

I used Goggle

Answer:

both

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1. P(E)>P(D) (Event E is more likely to occur, therefore it has a greater probability)

2. P(E)>0.5 (The probability of event D is given as 0.5, so rewrite P(D) in the inequality)

3. 0.5 is equal to 0.5 and 0.1 is less than 0.5, so you can rule out options A and D

4. This leaves us with options 1.5 and 0.9, but it is impossible to have a probability that is greater than equal to one, so you can immediately rule out B

5. After this elimination process, the only remaining answer is C) P(E)=0.9

Answer:

The Mets had 8, and the Dodgers had 11

Step-by-step explanation:

8 + 11 = 19

11 is 3 more than 19

Answer:

Dodgers 11 - Mets 8

Step-by-step explanation:

The Dodgers hit a couple homers probably,

Mets hit runs that are equal to 2 grand slams,

Dodgers 11

Mets 8

Answer:

Undefined

Step-by-step explanation:

Vertical lines are undefined.

Answer:

-130

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

Order of operations, multiplication first, then subtraction and addition

54 13/36 hope this helps

i think D all equivalent I'm not sure but I hope that helped you.

Answer:

The answer is the first option

Answer:

A) [tex]-\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{8}+\frac{3}{4} }{-\frac{2}{3}-\frac{5}{6} } \\\\\frac{\frac{5}{8}+\frac{6}{8} }{-\frac{4}{6}-\frac{5}{6} }\\\\\frac{\frac{11}{8} }{-\frac{9}{6} } \\\\\frac{11}{8} (-\frac{6}{9})\\\\-\frac{11}{12}[/tex]

Answer:

I believe that you are missing the...

Hypotenuse and Adjacent

Hypotenuse: x ≈ 29.79 units

Adjacent: x ≈ 38.89 units

Step-by-step explanation:

So sorry if it's wrong

Answer:

Step-by-step explanation:

[tex]\frac{1}{a}-\frac{1}{b} =\frac{1*b}{a*b}-\frac{1*a}{b*a}\\\\=\frac{b}{ab}-\frac{a}{ab}\\\\=\frac{b-a}{ab}\\\\\\(\frac{1}{a}-\frac{1}{b})^{-1} = (\frac{b-a}{ab})*{-1}\\\\=\frac{ab}{b-a}[/tex]

Answer:

C.(-5, 4)

Step-by-step explanation:

The vertex form of a parabola of this type is:

y = a ( x − h ) 2 + k  [1]

where  ( h , k )  is the vertex.

Explanation:

Given:

y = 7 ( x + 5 )² + 4  [2]

We can convert equation [2] into the same form as equation [1] by writing  

+5  as − − 5 :

y = 7 ( x − − 5) ² + 4  [3]

We observe that the vertex is

( − 5 , 4 )

hope it will help :)

Answer:

Pepperoni

Step-by-step explanation:

Pepperoni showed up the most out of everything else

Answer:

10.8 meters

Step-by-step explanation:

This situation forms a right triangle, where the length of the kite string is the hypotenuse, the distance from where it is held is the long leg, and the height is the short leg.

Use the pythagorean theorem to solve for c, the length of the kite string.

a² + b² = c²

6² + 9² = c²

36 + 81 = c²

117 = c²

10.8 = c

So, the length of the kite string is 10.8 meters

Step-by-step explanation:

The answer will be-+ 11376

Answer:

√{5688×5688×4}=√{5688²×2²)==±11376

Answer:

true

Step-by-step explanation:

Answer: 27.625 fl oz

Step-by-step explanation:

8.25*3.5= 27.625 fl oz

Answer:

A

Step-by-step explanation:

divide it

45/.7

9k³ = 1125

k³ = 1125 : 9

k³ = 125

k = 5 (because 5³ = 5 * 5 * 5 = 125)

Answer: [tex]20\times 20, 16\times 25, 10\times 40[/tex]

Step-by-step explanation:

Given

The volume of the pool is [tex]1600\ ft^3[/tex]

Depth of water is [tex]d=4\ ft[/tex]

Suppose A is the base of the pool

[tex]\Rightarrow V=A\times d\\\Rightarrow 1600=A\times 4\\\Rightarrow A=400\ ft^2[/tex]

This area can be written as

[tex]\Rightarrow A=10\ ft\times 40\ ft\ or\\\Rightarrow A=16\ ft\times 25\ ft\ or\\\Rightarrow A=20\ ft\times 20\ ft[/tex]

Answer:

c

Step-by-step explanation:

angles in a triangle r equal to 180

180-90-65 is equal to 25

and 1 is 90 degree

Answer:

F

Step-by-step explanation:

Answer:

1/4 is slope\

Step-by-step explanation:

Answer:

3(2g + 3)

Step-by-step explanation:

We start out with the expression (2g + 2) - (-4g - 7).

Firstly, let's distribute the negative:

(2g + 2) - (-4g - 7)

2g + 2 + 4g + 7

Now, combine like terms:

2g + 4g + 7 + 2

6g + 9

The GCF stands for "Greatest Common Factor." In this case, we have to find the GCF between 6 and 9. What is the GCF of 6 and 9? It would be 3. So,

6g + 9

3(2g + 3)

Answer:

74°

Step-by-step explanation:

A supplementary angle is when two angles add up to 180°, so 180° - 106° = 74°

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