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3 years ago

Marshall walks a total of 0.9 kilometres to and from school each day. After 4 days, how many kilometres will he have walked?

Mathematics

2 answers:

mezya [45]3 years ago

5 0

Answer:

3.6 km

Step-by-step explanation:

total distance covered = distance covered x time taken

motikmotik3 years ago

5 0

I believed The answer is 3.6

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A research group conducted an extensive survey of 2968 wage and salaried workers on issues ranging from relationships with their

kodGreya [7K]

Answer:

We need a sample of at least 1797 if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.3% of the population percentage.

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 $1 - \frac{\alpha}{2}$ .

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 $Z = 1.96$ .

In this problem, we have that:

$p = 0.55$

How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.3% of the population percentage?

We have to find n for which $M = 0.023$ . So

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

$0.023 = 1.96\sqrt{\frac{0.55*0.45}{n}}$

$0.023\sqrt{n} = 0.9751$

$\sqrt{n} = \frac{0.9751}{0.0023}$

$\sqrt{n} = 423.95$

$\sqrt{n}^{2} = (42.395)^{2}$

$n = 1797$

We need a sample of at least 1797 if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.3% of the population percentage.

8 0

3 years ago

James is at a gift sale where everything costs $4 (tax included).

pantera1 [17]

Answer:

5 gifts

Step-by-step explanation:

Given information:

Cost of one gift = $4
Total money = $50
Money left after purchasing gifts = at least $28

Let x = greatest number of gifts James can buy

Create an inequality with the given information:

⇒ 50 - 4x ≥ 28

<u>Solve the inequality</u>

Add 4x to both sides:

⇒ 50 - 4x + 4x ≥ 28 + 4x

⇒ 50 ≥ 28 + 4x

Subtract 28 from both sides:

⇒ 50 - 28 ≥ 28 + 4x - 28

⇒ 22 ≥ 4x

Divide both sides by 4

⇒ 22 ÷ 4 ≥ 4x ÷ 4

⇒ 5.5 ≥ x

⇒ x ≤ 5.5

We must <u>round down</u> to 5 as if James buys 6 gifts, he will only have $26 remaining. Therefore, the greatest number of gifts James can buy is <u>5 gifts</u>.

3 0

2 years ago

Read 2 more answers

Walker is planning a summer vacation. He want to visit petrified national forest and meteor crater,Arizona,the 500000-year old i

lakkis [162]

Answer:

56.25 miles

Step-by-step explanation:

Walker wants to visit petrified national forest and meteor crater.

On a map, a scale is 2 inches = 75 miles.

The national forest and meteor crater are about 1 and a half inches apart.

Let x miles be the actual distance between national forest and meteor crater.