All categories

2 years ago

Adrianna runs up 4.5 flights of stairs. How far will Arianna have to run down to represent an additive inverse?

Mathematics

1 answer:

Mashutka [201]2 years ago

6 0

Answer:

She needs to run down 4.5 flights of stairs to represent an additive inverse

Step-by-step explanation:

Having an additive inverse means that she will be back at point zero.

The point zero in this context simply refer to her starting point.

So if she has run up 4.5 flights of stairs, then to be back at her starting point, she needs to run down also 4.5 flights of stairs

You might be interested in

Find the unit rate: 6 and 2/5 rotations in 2 and 2/3 seconds.

GrogVix [38]

I'd suggest you write "6 2/5," not "6 and 2/5."

6 2/5 rotations
-------------------- =
2 2/3 seconds

32
---
5 32 3
------- = ------ * -----
8 5 8 Reduce that 32/8: obtain 4.
---
3

Then we have

4(3)/5, or 12/5 rotations per sec.

4 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

2 years ago

Malia measures the longer side of a dollar bill using a ruler at school. Which of the following is most likely the quantity she

sergey [27]

Answer:

6.14 inches

Step-by-step explanation:

The one side of the dollar bill is 6.14 inch. The 6.14 inches of the dollar approximates the 156.1 mm. When Malia measures the longer side of a dollar bill from her rule it will be approximately 6.14 inches in length. The ruler normally has inches and cm sides. Very few rulers have mm scales. The most probable scale that malia would have measure is in inches.

5 0

2 years ago

HELP ME PLLLLZ dis is PEMDAS

hram777 [196]

Answer:

Give Branliest PLz

Answer is 15

Step-by-step explanation:

Half of 40 is 20 cause 40/2=20

Five less than 20 is 20-5 which= 15

So ur answer is 15

6 0

2 years ago

Read 2 more answers

Marcus can carry a maximum of 25kg of gravel at one time

olganol [36]

Answer: 60 journeys

Step-by-step explanation:

1 ton = 1000 kgs

1.5 tons = 1500 kgs

1500/25 = 60 journeys

6 0

2 years ago

Read 2 more answers