Bob has 56 bars of candy. He eats75%. What does he have.

A country's education department reported that in 2015, 70.8% of students enrolled in college or a trade school within 12 months

Gennadij [26K]

Answer:

The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school.

This means that $n = 154, \pi = \frac{94}{154} = 0.6104$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 - 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.546$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 + 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.675$

The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.

6 0

3 years ago

Bloomington Nail Salon is having a special this month on services. Over the weekend, they performed 49 manicures and 16 pedicure

marshall27 [118]

Answer: The salon charges $16 for a manicure and $25 for a pedicure.

Step-by-step explanation:

Let x represent the amount charged by the salon for a manicure.

Let y represent the amount charged by the salon for a pedicure.

Over the weekend, they performed 49 manicures and 16 pedicures, bringing in a total of $1,184 in receipts. It means that

49x + 16y = 1184- - - - - - - - - - 1

So far this week, they have administered 31 manicures and 33 pedicures, with receipts totalling $1,321. It means that

31x + 33y = 1321- - - - - - - - - - 2

Multiplying equation 1 by 31 and equation 2 by 49, it becomes

1519x + 496y = 36704

1519x + 1617y = 64729

Subtracting, it becomes

- 1121y = - 28025

y = - 28025/- 1121

y = $25

Substituting y = 25 into equation 1, it becomes

49x + 16 × 25 = 1184

49x + 400 = 1184

49x = 1184 - 400

49x = 784

x = 784/49

x = $16

5 0

4 years ago

A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a t

klio [65]

Answer: 54

Step-by-step explanation: If the ball bounces 3 times at first that would be 9 x 3 which equals 27. But if you bounce it 6 times, that would be 9 x 6 which equals 54. :)

8 0

3 years ago

24 students of the 30 in Anderson’s class are wearing tennis shoes .He says that. 70% are wearing tennis shoes is he correct exp

Nataliya [291]

Answer:

He is not correct

Step-by-step explanation:

70%=70/100= 0.7

70% of 30 =0.7x 30= 21 not 24

6 0

3 years ago

given the equation y=4/5x+1, identify the slope and the y-intercept of the equation. Then graph the equation

Paladinen [302]

The slope is 4/5 and the y intercept is 1. To graph the equation start at 1 because that is where the graph crosses the y axis and go up 4 and over to the right 5 since the slope is positive.

3 0

3 years ago