Im confused, can someone help?

Mathematics

1 answer:

Bumek [7]3 years ago

8 0

Well, the y-intercept is represented by B. So b would be the dot crossing the y-axis in each graph (which you already circled). Next, the slope for top left is: -1.5, top right is: -1.7, bottom left is: 3, and bottom right is: 1.33. I got those by using this very helpful website named Desmos. Now, I’m order to write the equation for each graph is very simple, all you have to do is put in the slope and y-intercept into the equation. For example, the top left one would be:
y = -1.5x + 4 since we know that the slope is equal to -1.5 and the y-intercept is equal to 4. Hope this helps :)

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Answer:

The probability that the sample proportion will be less than 0.05 is 0.80511.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.

Suppose the true proportion is 0.04 and 349 are sampled.

Let $\hat p$ = sample proportion

The z score probability distribution for sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

n = sample size = 349

p = population proportion = 0.04

Now, the probability that the sample proportion will be less than 0.05 is given by = P( $\hat p$ < 0.05)

P( $\hat p$ < 0.05) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.05-0.04}{\sqrt{\frac{0.05(1-0.05)}{349} } }$ ) = P(Z < 0.86) = 0.80511