Random samples of female and male UVA undergraduates are asked to estimate the number of alcoholic drinks that each consumes on a typical weekend. The data is below:
Females (Population 1): 2, 2, 2, 5, 5, 5, 1, 2, 3, 5
Males (Population 2): 5, 4, 5, 7, 4, 7, 5, 4, 4, 8
Give a 97.6% confidence interval for the difference between mean female and male drink consumption. (Assume that the population variances are equal.)
Confidence Interval =

Answer:

-⅖

Step-by-step explanation:

We need to simplify the given equation and find out the value of a , as ,

=> 3(a-1)+31-11a = 4(2a+3)

=> 3a -3+31-11a = 8a + 12

=> -8a -28 = 8a + 12

=> 16a = -28-12

=> 16a = -40

=> a = -2/5

3 ( a - 1 ) + 31 - 11a = 4 ( 2a + 3 )

⇒ 3 ( a - 1 ) + 31 - 11a = 4 ( 2a + 3 )

Opening the brackets and multiplying the terms, We get,

⇒ 3a - 3 + 31 - 11a = 8a + 12

⇒ -8a + 28 = 8a + 12

⇒ 8a + 8a = - 28 - 12

⇒ 16a = 40

Transposing 16 to Right Hand Side, We get,

⇒ a = [tex] \sf \frac{40}{16} [/tex]

⇒ a = [tex] \sf \frac{-2}{5} [/tex]

Answer:

4ft, 7 inches

Step-by-step explanation:

4 ft (48 inches), 7 inches

Answer:

d. 28.3

Step-by-step explanation:

Given

Radius ( r) = 3 m

Area of the circle

= π r²

= 3.14 * 3* 3

= 28.26

= 28.3 ft²

Answer:

a.0

Step-by-step explanation:

The slope of any horizontal line is 0

Answer:

A, 0

Step-by-step explanation:

The slope of a line is Change in Y / Change in X. This line is parallel to X-axis, meaning the Y will always be the same. This means that the change in y is 0, meaning the slope is 0 / Change in X, which is 0.

Answer:

see below

Step-by-step explanation:  5  26  9  17

cylinder with a radius of 7cm and a height of 10 cm

find the value of each flower pot and divided it into 24000 cm³

flower pot = π r² h   =  π × 7² × 10   =  π490    =  1539.38 cm³

24000 cm³ / 1539.38 cm³  =  15.59  flower pots

so Carl could only FILL 15 flower pots

Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil. So, Carl could only fill 15 flower pots.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The cylinder with a radius of 7cm and a height of 10 cm.

The flower pot = π r² h  

[tex]= \pi \times 7^2 \times h\\ = 490 \pi \\ = 1539.38 cm^3[/tex]

= 24000 cm³ / 1539.38 cm³  

=  15.59  flower pots

So, Carl could only fill 15 flower pots.

Learn more about the volume of the cylinder here:

https://brainly.com/question/12763699

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Answer:

9

Step-by-step explanation:

forget all this grammar,

let the number be x,

x = {18(15-12)} / 6

x = {18(3)} / 6

x= 54/6

x= 9

value is therefore 9

Answer:

V = 29 + j3

Step-by-step explanation:

4+j3 amps and resistance of 5-j3 ohms what is the voltage of the circuit

V = IR     I = 4+j3 amps    R = 5-j3 ohms

V =  4+j3 × 5-j3

V = [4 × 5]+[j3 × -j3] + [4 × -j3] + [j3 × 5]

V = 20 + (-j²)9  + (-j12) + j15

V = 20 - 9 + j3                  j3 × -j3 = 9 not -9    j = -1    j × j = -1  not 1  my mistake

V = 11 + j3   WRONG

my daughter's old TI 84 Plus Silver Edtion calculator     got 29+j3

Answer:

3

Step-by-step explanation:

Evaluate the limit n - > ∞ 12n^3 - 2n^2 + 9 / 4n^3

Divide the expression by the highest power of n to have

limit n - > ∞ 12n³/n³ - 2n²/n³ + 9/n³ / 4n³/n³

= limit n -  > ∞12 - 2/n + 9/n³ / 4

Substitute the value of n

= 12 - 2/∞ + 9/∞³ / 4

Since a/∞ = 0

The expression becomes;

= 12 - 0+ 0/4

= 12/4

= 3

Hence the required limit is 3

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:  y=2-2x

Step-by-step explanation:

Answer:

78.5 (please put brainliest)

Step-by-step explanation:

r = diameter / 2 = 5

area = π * r^2 = 25 * 3.14 = 78.5

Answer:

78.5 m^2

Step-by-step explanation:

Answer:

128 is your answer

Step-by-step explanation:

1 gallon of milk will make 128 servings.

100% Correct hope this helps ツ

Answer:

25

Step-by-step explanation:

16 cups = 1 gallon

1 1/4 * 12 = 15 (12 cups)

15 * 2 = 30 (24 cups)

30 + 1 1/4 = 31 1/4 (25 cups)

Brainliest please UwU

Answer:

it's the top right box

Step-by-step explanation:

start from the first box and count how many units was added

Answer:

453.73cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14×8.5²×6/3=453.73

Answer:

no solution for the answer

Answer:

killiliters

Step-by-step explanation: r u asking wah kl stads for

Answer:

15, 17, 19

Step-by-step explanation:

x + x+2 + x+4 = 15 + (x+2 + x+4)

3x + 6 = 15 + 2x + 21

x = 15

x+2 = 17

x+4 = 19

Answer:

[tex] g(g(x)) = x [/tex]

Step-by-step explanation:

[tex] g(x) = -\dfrac{3}{4x} [/tex]

[tex] g(g(x)) = -\dfrac{3}{4g(x)} [/tex]

[tex] g(g(x)) = -\dfrac{3}{4(-\frac{3}{4x})} [/tex]

[tex] g(g(x)) = -\dfrac{3}{4} \div (-\frac{3}{4x}) [/tex]

[tex] g(g(x)) = -\dfrac{3}{4} \times (-\frac{4x}{3}) [/tex]

[tex] g(g(x)) = \dfrac{3 \times 4x}{4 \times 3} [/tex]

[tex] g(g(x)) = x [/tex]

Answer:

3:31

Step-by-step explanation:

3 hours 55 minutes - 24 minutes = 3 hours 31 minutes

Answer:

3:31 PM

Step-by-step explanation:

55 - 24 = 31

So,

3:31 is the answer :)

Answer:

The angle is approximately 81 degrees. Since the person's eyes are 4 feet above the ground level, and the top of the building is 190 feet tall, the vertical distance between the person's eyes and the top of the building is 190-4=186 feet. The horizontal distance is 30 feet, since the person is standing at the end of the shadow. Therefore tan(angle)=186/30, the angle is equal to arctan(186/30)=81, approximately.

Step-by-step explanation:

The intersection of plane A and line m can be describes as line m .

Let's a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.

Given that Planes A and B intersect.

We can see the two walls as planes in geometry.

A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.

When two planes intersect, their intersection is a line.

Learn more about symmetry here:

https://brainly.com/question/7783612

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Answer:

8:05 am is the time she will have to leave her house to get to the airport on time.

Step-by-step explanation:

First, subtract 55 minutes from 10:20.

10:20 - 20 = 10:00

10:00 - 35 = 9:25

This is the time she wants to arrive. 9:25

Now, we have to subtract an hour and 20 minutes

9:25 - 1:00 = 8:25

8:25 - 20 = 8:05

Hope this helped and have a great day! :)

Answer:

w = 4 and l = 9 or

l = 4 and w = 9

Step-by-step explanation:

let l = length

let w = width

2l + 2w = 26

lw = 36

l = 36/w

2(36/w) + 2w = 26

72/w + 2w = 26

(72 + 2w²) ÷ w = 26

cross-multiply:

2w² + 72 = 26w

2w² - 26w + 72 = 0

factor:

2(w² - 13w + 36) = 0

2(w - 4)(w - 9) = 0

w = 4 and l = 9 or vice versa

Answer:

135

Step-by-step explanation:

135 by 3 is 45

by 5 is 27

Answer:

135

Step-by-step explanation:

135 ÷ 5 = 27

135 ÷ 3 = 45

hope this helps

Answer:

it would be the cube

Step-by-step explanation:

When you imagine the cube it has 6 faces and 12 edges

Answer: I feel like cube, because it has 6 faces

Step-by-step explanation:

Answer:

26 months

Step-by-step explanation:

There are 12 months in a year 1/6 of 12 is 2. So 24 +2 = 26.

I'd say that 2 1/6 years is 26 months.

Answer:

26 months

Step-by-step explanation:

12 months = 1 year

24 months = 2 years

1/6 = 2/12

So, it is 26 months

Have a wonderful day! :)

Answer:

$30507.14

Step-by-step explanation:

(8000)(1+.055)^25= 30507.138789 rounded to the nearest penny = $30507.14