The owner of a popular coffee shop wants to determine if there is a difference between the proportion of customers
who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own
cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is
displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all
espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso
purchases, 18 receipts showed the customer used their own cup. The owner wants to construct a 95% confidence
interval for the difference in the proportions of customers who use their own cups. Are the conditions for inference
met?
Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the randomness condition is not met.
O No, the Large Counts Condition is not met.

Answer:

X= 12√3

y=12

Step-by-step explanation:

To find x

Cos30°=x/24

√3/2=x/24

x=12√3

To find y

Sin30°=y/24

1/2=y/24

y=12

hope it helps

have a great day!!

Answer:

p(4)=7

p(-9)=-9

this solution is correct

Answer:

Harry's father is 8 inches taller than his mother.

Step-by-step explanation:

1 foot=12 inches

12x6=72

72-64=8

Can I please have Brainliest?

Answer:

9, 15

Step-by-step explanation:

x = smaller number

y = larger number

system of equations:

x + y = 24

3x = 2y - 3

substitution method:

x = 24 - y

3(24 - y) = 2y - 3

72 - 3y = 2y - 3

72 = 5y - 3

75 = 5y

y = 15

x + 15 = 24

x = 9

Answer:

a     44°

Step-by-step explanation:

Think of the right triangle formed by the beam, the ground, and the wall.

The beam is the hypotenuse. For the angle between the ground and the beam, call it angle A, the 13.9 ft side is the opposite leg. The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

sin A = 13.9/20

sin A = 0.695

A = sin^-1 0.695

A = 44°

Answer:

the answer is 50

Step-by-step explanation:

Answer:

I cant see anything on that picture. Wish I could help bruv. I wish I could help. It's a shame innit.

Answer:

(x+1)(x+3)

Step-by-step explanation:

Let's factor x^2+4x+3

x^2+4x+3

The middle number is 4 and the last number is 3.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 4

Multiply together to get 3

Can you think of the two numbers?

Try 1 and 3:

1+3 = 4

1*3 = 3

Fill in the blanks in

(x+_)(x+_)

with 1 and 3 to get...

(x+1)(x+3)

Answer:

64.2 in

Step-by-step explanation:

From deltamath

Yeah

Answer:

256.4

Step-by-step explanation:

Answer:

15x9 is 130 but, what u mean by divided by 2 fraction?

Step-by-step explanation:

135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2

Answer:

surface area = 2(length× breadth) +2(length ×height) +2(height×breadth

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

[tex]C = Children; S = Students; A = Adults[/tex]

For the capacity, we have:

[tex]C + S + A = 329[/tex]

For the tickets sold, we have:

[tex]5C + 7S + 12A = 2388[/tex]

Half as many as adults are children implies that:

[tex]A = \frac{C}{2}[/tex]

Required

Solve for A, C and S

The equations to solve are:

[tex]C + S + A = 329[/tex] -- (1)

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]A = \frac{C}{2}[/tex] -- (3)

Make C the subject in (3)

[tex]C = 2A[/tex]

Substitute [tex]C = 2A[/tex] in (1) and (2)

[tex]C + S + A = 329[/tex] -- (1)

[tex]2A + S + A = 329[/tex]

[tex]3A + S = 329[/tex]

Make S the subject

[tex]S = 329 - 3A[/tex]

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]5*2A + 7S + 12A = 2388[/tex]

[tex]10A + 7S + 12A = 2388[/tex]

[tex]7S + 22A = 2388[/tex]

Substitute [tex]S = 329 - 3A[/tex]

[tex]7(329 - 3A) + 22A = 2388[/tex]

[tex]2303 - 21A + 22A = 2388[/tex]

[tex]2303 +A = 2388[/tex]

Solve for A

[tex]A = 2388 - 2303[/tex]

[tex]A = 85[/tex]

Recall that: [tex]C = 2A[/tex]

[tex]C = 2 * 85[/tex]

[tex]C = 170[/tex]

Recall that: [tex]S = 329 - 3A[/tex]

[tex]S = 329 - 3 * 85[/tex]

[tex]S = 329 - 255[/tex]

[tex]S = 74[/tex]

Hence, the result is:

[tex]C = 170[/tex]

[tex]S = 74[/tex]

[tex]A = 85[/tex]

Answer:

Down Below

Step-by-step explanation:

The answer is actually

162 children

86 students

81 adults

162x5=810

86x7=602

81x12=972

I found the original problem and the total ticket sale was $2384.

So I wrote the answers for the original problem just in case!

Ty for your time!

Answer:

the formula to find slope is m=∆y/∆y

this means m=y2-y1/x2-x1

using this formula

m=5-3/6-(-7)

m=2/13

Answer:

The slope is 0.25

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other, so since the slope of the given line is 2, the slope of the line we want to find is -1/2.

Substituting into point-slope form,

[tex]y+2=-\frac{1}{2}(x-2)\\\\y+2=-\frac{1}{2}x+1\\\\\boxed{y=-\frac{1}{2}x-1}[/tex]

Answer:

B

Step-by-step explanation:

its not A cause theres 17 kids

its not D

its not c cause less than half of the students volunteer for 9 hours or more

the only one it can be is B because it's not correct theres exactly 6 students less than 7 hours not 6

9514 1404 393

Answer:

  12 or 103

Step-by-step explanation:

The given angle is opposite the shorter side, so there will be two solutions.

In order to find f, we need to know angle F. We can find that by first finding angle E.

  E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°

  F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}

Then the measure of f is ...

  f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})

  f = {103.29, 11.59}

Side f is either 12 or 103.

Answer:

Step-by-step explanation:

Find ∠E

Find m∠F

Find f

The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.

Measurement is a branch of mathematics used in determining the area and volume of an object.

From the question,

Let the length of the two rectangular corrals be x

Let the length of the three fence section be y

Note that the area of the rectangle A = length * width

A = xy .....1

Also, since the rectangular corrals are to be made from 100 yd, then;

3x + 2y = 100 ..... 2

Divide through by 2

3x/2 + 2y/2 = 100/2

1.5x + y = 50

y = 50 - 1.5x .... 3

Substitute equation 3 into 1 to have:

A = x(50-1.5x)

A = 50x - 1.5x²

Since the total area is to b maximized, this means that:

dA/dx = 0

dA/dx = 50 - 3.0x

0 = 50 - 3x

3x = 50

x = 50/3 yards

Substitute the value of x into equation 3:

y = 50 - 1.5x

y = 50 - 1.5(50/3)

y = 50 - 25

y = 25yards

Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.

Learn more here: https://brainly.com/question/10369514

Answer:

the mean is 83.6

Step-by-step explanation:

Answer:

The mean is 83.6 cm

Step-by-step explanation:

81 + 83 +84 + 85 + 85 = 416

416 divided by 5 = 83.6

Answer:

Step-by-step explanation:

0.1     ;-;

Answer: tan^-1(5/8) = 32 degrees from horizontal line

Step-by-step explanation: tan (Alfa) = 2000 / 3200 because

Angle from horizontal line. 2000/3200 = 20/32 = 5/8

Answer:

$12 off w discount

$48 selling price

Step-by-step explanation:

Answer:

a. 20%=$12.00   b. price was $48.00

Step-by-step explanation:

60*20%=12

60-12=48

Answer: The best choice from the provided options is the "Cube".

Step-by-step explanation: The cube is also called "rectangular hexahedron," because it has 6 congruent (meaning figures that are identical in form) faces.

Answer:

the answer woiuld be 60

Step-by-step explanation:

supplementary angles are 180

180-120=60

x=60

Answer:

b. you sold 17

c. your friend sold 25

Step-by-step explanation:

you=y your friend=x

y=x-8

42=x +y

42=x+(x-8)

42=x+x-8

42=2x-8

50=2x

25=x

Use x to solve for y...

y=25-8

y=17

Answer:

16

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x + 9 = 9x - 19. [Corresponding Angles]

=> 9x - 19 = 7x + 9

=> 9x - 7x = 19 + 9

=> 2x = 28

[tex] = > x = \frac{28}{2} [/tex]

=> x = 14 (Ans)

Answer:

A bear weighing 4,521 grams would weight 4.521 kilograms

Answer:

499-424.15=74.85

499:100=4.99

74.85:4.99=15 is the percent of the discount

100-15=85 is the percent of the original price that you pay  

Step-by-step explanation: