If the lengths of male skis and female skis are used to construct a​ 95% confidence interval for the difference between the two population​ means, the result is 14.32cm < μ1 - μ2 < 21.95 ​cm, where lengths of male skis correspond to population 1 and lengths of female skis correspond to population 2. Express the confidence interval with the lengths of female skis being population 1 and lengths of male skis being population 2.

a. - 14.32 cm <μ1−μ2<−21.95
b. -21.95 cm <μ1−μ2<−14.32
c. 14.32 cm <μ1−μ2<21.95
d. This cannot be determined without having the original data values.

Answer:

Step-by-step explanation:

f(x) = x^2 + 3x - x/2

f(x) = x^2 + 2.5x    

f(6) = 6^2 + 2.5*6

f(6) = 36 + 15

f(6) = 51

Answer:

Cna you please put a image, I would like that so much so I can help you?

Step-by-step explanation:

Answer:

Okay very easy, The answer is: She sold 5 cupcakes.

Step-by-step explanation:

She sold 5 cupcakes

Because if you add 3 till you get to 15 you get 5

Answer:

[tex]S_{10} = 682[/tex]

Step-by-step explanation:

Given

[tex]a_1 = 6; r = 2[/tex]

Required

[tex]S_{10[/tex]

This is calculated as:

[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]

So, we have:

[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]

[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]

[tex]S_{10} = \frac{6 * 1023}{9}[/tex]

[tex]S_{10} = 682[/tex]

Answer: (7yd^3)

Step-by-step explanation:

Width= [tex]3*\frac{1}{3}[/tex]

Length= [tex]7*\frac{1}{3}[/tex]

Height= [tex]9*\frac{1}{3}[/tex]

Width= 1

Length= 2.33333333333...

Height= 3

1*2.33333333333*3= 6.99999999999

6.99999999999 is round up to 7

So that would be (7yd^3)

Answer:

Step-by-step explanation:

I just did the test. Answer is 7yd

9514 1404 393

Answer:

  14.  C) 136°

  15.  C) 40°

Step-by-step explanation:

Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.

__

14) ∠H +∠W = 180°

  34x +55x +2 = 180

  89x = 178 . . . . . . . . . subtract 2

  x = 2 . . . . . . . . . . . . . divide by 89

  arc VX = 2(34x) = 68(2) = 136 . . . degrees

__

15) The sum of angles in the triangle is 180°.

  ? + 80° + (120°/2) = 180°

  ? = 40° . . . . . . . . . . subtract 140°

Answer:

Solution given:

14.

34x+55x+2=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

89x=180°-2

x=178/89

x=2°

now

m arc VX=2× <H[ central angle is twice the inscribed angle standing on a same base]

m arc VX=2(34×2)=136°

Option C.

15.

Solution given:

<B=80°

<C=½ arc AB[central angle is twice the inscribed angle standing on a same base]

<C=½×120°=60°

we have

<A+<B+<C=180°[ sum of interior angle of a triangle is 180 ]

<A=180-80°-60°

<A=40°

option C.

Answer:

Kari = 20 hours

Chris = 10

Mark = 10

Explanation:

K is Kari's hours

C is Chris's hours

Karis = 2 x C = K

Chris = C

Mark = C

3C - 10 = K

Assume C is 10 (since 10 is 1/3 of the hours mentioned)

2 x 10 = 20 so K worked 20 hours

20 is twice as much as 10 (C's hours)

and it's 30 - 10 (10 less than 3 times as many hours as Mark)

Answer:

[tex]y = -\frac{1}{4}x^{2} + 5x + 3[/tex]

Answer:

4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

Let A, B and C be the required expression, according to Associative property;

(A+B)+C = A+(B+C)

This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.

From the given expression, the expression that is equivalent using the Associative Property of Multiplication is  4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Note that the product of the values in bracket do not affect the final values

4(2a ⋅ 5) = 4(10a) = 40a

(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a

You can see that both expressions gives the same values

x = 26. y = -15

Step-by-step explanation:

Let x and y be the two numbers

x + y = 11. #1

x - y = 41. #2

Adding the two equations together, we get

2x = 52 ----> x = 26

Using this value on equation #2, we get

26 - y = 41

or y = -15

Answer:

a-17b+475

Step-by-step explanation:

Let's simplify step-by-step.

−17b+a+235+240

Combine Like Terms:

=−17b+a+235+240

=(a)+(−17b)+(235+240)

=a+−17b+475

Answer:

=a−17b+475

Answer:

Step-by-step explanation:

She has cooked 75 times

Answer:

1. (5,7)

2. (8,0)

3. (2,1)

4. (4,22)

5. (-3,78)

6. (2,10)

7. (3,9)

8. (-2,1)

Step-by-step explanation:

Answer:

64 is the mode and

it goes from 64, 64, 66,67, 70, 75, 79, and 80, so the range is 80- 64 which is 16

Step-by-step explanation:

Answer:

C. 5 3/4

Step-by-step explanation:

You have to write all numerators above the common denominator

4+7/4=16+7/4

Add the numbers together

16+7/4=23/4

Simplify the fraction

23/4=5 3/4

Answer:

A. Area - space inside a figure perimeter - distance around figure

Step-by-step explanation:

I calculated it logically

Answer:

21.5

Step-by-step explanation:

The area of the shaded region is 21.5 mm².

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given is a circle inside a square.

Area of a square = a², where 'a' is the side length.

Here, a = 10 mm

Area of square = 10² = 100 mm²

Area of a circle = π r², where r is the radius of the circle.

Diameter of circle = 10 mm

Radius of the circle = 10/2 = 5 mm

Area of the circle = (3.14) (5²) = 78.5 mm²

Area of the shaded region = Area of square - Area of circle

                                             = 100 mm² - 78.5 mm²

                                             = 21.5 mm²

Hence the area is 21.5 mm².

Learn more about Area here :

https://brainly.com/question/29008139

#SPJ2

Answer:

120

Step-by-step explanation:

That's a guess, but it's the most logical one.

Answer:

Billing cycle: The period for which transactions are

recorded in a credit card statement

Annual Percentage Rate: Determines the finance charge

payable on credit purchases

Credit Line: The maximum credit available on a credit card

New Purchases: The amounts debited to the credit card account

Step-by-step explanation:

Took the test on Edmentum and got 5/5

Step-by-step explanation:

Solve equation [2] for the variable y

[2] y = -4x + 16

// Plug this in for variable y in equation [1]

[1] 4x + 3•(-4x+16) = 32

[1] -8x = -16

// Solve equation [1] for the variable x

[1] 8x = 16

[1] x = 2

// By now we know this much :

x = 2

y = -4x+16

// Use the x value to solve for y

y = -4(2)+16 = 8

Solution :

{x,y} = {2,8}

Answer:

price for senior citizen is $11

price for child ticket is $8

Answer:

Q.1.

Sum of angles of a triangle = 180°

∠A + ∠B + ∠c = 180

(3x - 9) + (4x + 15) + 90 = 180

3x - 9 + 4x + 15 + 90 = 180

7x + 96 = 180

7x = 84

x = 12

∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°

∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°

∠A = 27°

∠B = 63°

Q.2.

[tex]using \ pythagoras \ theorem \\x^2 = 7^2 + (7\sqrt{3} )^{2} = 49 + 49(3) = 196\\x = \sqrt{196} = 14[/tex]

[tex]sin y = \frac{opposite}{hypotenuse} = \frac{7\sqrt{3} }{14} = \frac{\sqrt{3} }{2} \\\\y = sin^{-1} (\frac{\sqrt{3} }{2} ) = 60[/tex]

x = 14

y = 60°

Answer:

B

Step-by-step explanation:

Answer:

The answer would be B!

Value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

" Vertical opposite angles are defined as when two straight line intersect each other , the two non adjacent angles are vertical opposite angles. Measure of vertical opposite angles are always equal."

According to the question,

Given measure of angles,

[tex]m \angle1 = (3x + 21)\°[/tex]

[tex]m \angle3= (4x + 9)\°[/tex]

Consider both the angles as vertically opposite angles we get,

[tex]m \angle1 =m \angle3 \\\implies(3x + 21)\° = (4x + 9)\°\\\\\implies 4x -3x = (21 - 9))\°\\\\\implies x = 12\°[/tex]

Hence, value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

Learn more about vertical opposite angles here

https://brainly.com/question/18045519

#SPJ2

Answer:

30 cm ^3

Step-by-step explanation:

Volume = Length x Width x Height

L and W =6cm^2

H=5cm

Hope this helps!

Answer:

B, D, E

Step-by-step explanation:

9514 1404 393

Answer:

  B.  √900

Step-by-step explanation:

The solutions to the equation are ...

  x = ±√900 = ±3√100 = ±10√9 = ±30

Of the offered choices, the only one that matches any of these is ...

  √900