All categories

2 years ago

Edward run 1/3 of a mile in 5 minutes. If he runs 3/4 of an hour, how far does he go?

Mathematics

2 answers:

Illusion [34]2 years ago

7 0

Answer:

I d K

Step-by-step explanation:

morpeh [17]2 years ago

6 0

Answer:

He goes 4 miles

Step-by-step explanation:

You might be interested in

estimate 0.00792398 to the nearest thousandth. Express your answer as a single-digit times a power of ten

Marianna [84]

Answer: $\approx8*10^{-3}$

Step-by-step explanation:

In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:

If it is less than 5, you must round down.

If it is greater than or equal than 5, you must round up.

In this case, given the number:

$0.00792398$

You can notice that the digit to the right of the digit in the thousandth place is 9.

Since $9>5$ , you must round up. Then:

$0.00792398\approx0.008$

Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:

$\approx8*10^{-3}$

5 0

2 years ago

6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul

drek231 [11]

Answer:

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

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 of:

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

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that $n = 1012, \pi = \frac{374}{1012} = 0.3696$

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 $Z = 1.96$ .

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

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

$E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}$

$E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}$

$\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

$n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0

3 years ago

A spinner has 10 equal sections numbered 1 through 10. What is the probability of

Nezavi [6.7K]

Answer:

The correct answer is C. 1/10.

Step-by-step explanation:

Given that a spinner has 10 equal sections numbered 1 through 10, to determine what is the probability of landing on the 6, the following calculation must be performed:

6 = 1 side only

10 = 10 options

1/10 = X

Therefore, the probability of the spinner landing on the 6 is 1/10.

3 0

3 years ago

Graph the system of equations on your graph paper to answer the question.

scZoUnD [109]

y=x-4
y=-x+6
---------------------
Substitute x - 4 for y in y=-x+6
x-4=-x+6
--------------------------------
Add X on each side
x-4+x=-x+6+x
2x - 4 = 6
--------------------------------------
Add 4 on each side
2x-4+4=6+4
2x = 10
------------------------------------------------
Divide by 2 on each side
2x ÷ 2 = 10 ÷ 2
x = 5
Now we have X
================================================================
To find Y we substitute 5 for x in y=x-4
y = 5 - 4
y = 1
-----------------------------------------------------
Your answers are Y = 1 and X = 5

8 0

3 years ago

What is the 6th term of the geometric sequence 4, −20, 100, ...?

shtirl [24]

Let's calculate r of this G.P: (-20)/(4) = - 5(100)/(-20) = - 5So r = -5
The formula to find the nth term of a GP is;
a(n) = a(r)ⁿ⁻¹
a₆ = a(r)⁶⁻¹
a₆ = 4(-5)⁵ = -12500

3 0

3 years ago

Read 2 more answers