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Illusion [34]
3 years ago
13

Which graph is defined by the function given below? y=(x-2)(x+5)

Mathematics
2 answers:
inn [45]3 years ago
7 0

Answer: Option A  is the graph for given function y=(x-2)(x+5)

Explanation:  we have  given function y = (x-2)(x+5)

which is a quadratic meaning the equation in which highest degree is two

and graph of a quadratic equation is a parabola.

In case of  (x-2) graph will shift two units right along x-axis.

In case of  (x+5) graph will shift 5 units left along x-axis.

it will cover left and right side of x-axis.

In option B graph is only on left side which is not satisfying given points

In option C graph is only on right side which is satisfying given points



Hoochie [10]3 years ago
3 0

Answer:

graph a

Step-by-step explanation:

on a p e x

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A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon
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Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

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}.

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that n = 603, \pi = \frac{142}{603} = 0.2355

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

8 0
2 years ago
Four diners have ordered a platter of desserts. The platter holds 8 chocolate chip cookies and 4 slices of chocolate cheesecake.
Furkat [3]

Answer:

P(Y>1 \cap Y

And we can find this probability like this:

P(Y>1 \cap Y

And we can replace the values and we got:

P(Y>1 \cap Y

Step-by-step explanation:

For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:

Y     |     0          1        2         3         4

P(Y) | 0.005  0.114  0.429  0.381  0.071

And we want to find the following probability:

P(Y>1 \cap Y

And we can find this probability like this:

P(Y>1 \cap Y

And we can replace the values and we got:

P(Y>1 \cap Y

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