Write only vertical translation

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

5 0

Answer:

I hope this helps

Ex: vertical translation |x+5|-2 the graph will shift down 2 units. Or the same as (x+5)+2 in this case the graph will shift up 2 units.

Horizontal translation |x+5|-2 the graph will shift to the left 5 units. Or same as (x-5)-2 in this case the graph will shift over to the right 5 units.

Step-by-step explanation:

Vertical translation is when a graph is being shifted up or down.

Horizontal translation is when a graph is being shifted over left or right.

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use the given circle. Find the length s to the nearest tenth A. 33.5 cm B. 8.4 cm C. 16.8 cm D. 5.3 cm

Leokris [45]

Answer:

16.8

Step-by-step explanation:

s = ∅ × r

= 2π/3 × 8

= 16/3 * π

= 16.75516

= 16.8

5 0

2 years ago

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

amm1812

Answer:

6546 students would need to be sampled.

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

The margin of error is:

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

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

This means that $n = 200, \pi = \frac{118}{200} = 0.59$

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 $Z = 1.645$ .

If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?

n students would need to be sampled, and n is found when M = 0.01. So

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

$0.01 = 1.645\sqrt{\frac{0.59*0.41}{n}}$