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Julli [10]
3 years ago
15

What is vertical stretch?

Mathematics
1 answer:
ki77a [65]3 years ago
7 0
A vertical stretch is the stretching of a line away from the x-axis. 
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Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i
vladimir1956 [14]

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers

The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10

Thus, a Normal approximation to binomial can be applied.

So,  

X\sim N(\mu=600, \sigma=\sqrt{120})

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

                   = P (X > 280.50)

                   =P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

8 0
3 years ago
Please help thx so much
Natali [406]

Answer:

(- 1, 3)

Step-by-step explanation:

To find the y- coordinate, substitute x = - 1 into the equation

y - 3 = 2(x + 1) ( add 3 to both sides )

y = 2(x + 1) + 3 ← substitute x = - 1

y = 2(- 1 + 1) + 3 = (2 × 0) + 3 = 0 + 3 = 3

4 0
3 years ago
What is an opposite number?
EleoNora [17]

Answer:

In mathematics, opposite number or additive inverse of any number is a number n which, if added to n, results in 0 (the identity element of addition). The opposite number for n is written as −n. For example, −7 is the opposite number of 7

Step-by-step explanation:

:)

7 0
3 years ago
A middle school mathematics teacher accepts a teaching position that pays ​$20,000 per year. Each​ year, the expected raise is $
vaieri [72.5K]
30 * 20,000 = 600,000

30 * 500 = 15,000

615,000

Sorry if this is incorrect! Goodluck:)
4 0
3 years ago
Read 2 more answers
Plz help me with this problem guys
Tju [1.3M]
The length of LM Left and M
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4 years ago
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