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3 years ago

11

Train A is traveling at 39 mph. Train B is traveling at 65 mph how man more hours will it take for train A than train B to trave

l 195 miles

1 answer:

pav-90 [236]3 years ago

8 0

Train A will take 2 more hours than train B. Train A will take 5 hours while train B will only take 3 hours.

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Franchise Business Review stated over 50% of all food franchises earn a profit of less than $50,000 a year. In a sample of 130 c

nydimaria [60]

Answer:

We need a sample size of 564.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = \frac{81}{130} = 0.6231$

The margin of error is:

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

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when $M = 0.04$

So

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

$0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}$

$\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}$

$n = 563.8$

Rounding up

We need a sample size of 564.

4 0

3 years ago

Darnel's retirement party cost $33, plus an additional $1 for each guest he invites. What is the maximum number of guests there

Karolina [17]

Answer: the maximum number of guests that he can invite would be 9

Step-by-step explanation:

Darnel's retirement party cost $33, plus an additional $1 for each guest he invites. Assuming Darnel wants to invite x guests to his retirement party, the total amount of money that Darnel would spend is

33 + x

if darnel can afford to spend a total of $42 on his retirement party, then

42 = 33 + x

x = 42 - 33 = 9

3 0

3 years ago

Coach Chapman has 54 students signed up for a jump rope competition. He only has 18 jump ropes. What is the ratio of jump ropes

Andrei [34K]

Answer:

1:3

Step-by-step explanation:

The question is asking what the ratio of jump ropes to students is.

The order of the question matters.

Since they ask for the jump ropes first and then the students, we

get a ratio of 18:54.

Find the GCF (Greatest Common Factor)

The GCF is 18.

Divide 18:54 by 18.

18/18=1

54/18=3

The answer is 1:3.

6 0

3 years ago

Simplify the expression by combining like terms. 22+5−4+7−8

nikklg [1K]

Answer:

22

Step-by-step explanation:

27-4+7-8=

23+7-8=

30-8=

22

3 0

3 years ago

Pls help my with one and two asap

Dafna11 [192]

Answer:

Step-by-step explanation:

for nr. 1

sum of angles in a triangle=180

x=180-(81+84)=15

acute triangle

for nr.2

x=180-(24+36)=120

obtuse triangle

4 0

3 years ago