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GuDViN [60]
3 years ago
13

Which polynomial lists the powers in descending order? A. –10 + 4x3 – 4x5 + 2x4 + x7 B. x7 – 4x5 + 2x4 + 4x3 – 10 C. x7 + 4x3 +

2x4 – 4x5 – 10 D. 4x3 – 4x5 + 2x4 + x7 – 10
Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0
The answer for the exercise shown above is the option  B, which is: x^{7} -4 x^{5} +2 x^{4} +4 x^{3}- 10
 
The explanation is shown below:
 To list the powers of the polynomial given in the problem above in descending order, you must write the terms from the highest degree to the lowest degree. You have that the highest degree is 7
 and the lowest degree is 0
(Because -10 x^{0} =-10(1)=-10. Therefore, you have that the correct option is the option B.
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Which of the following nonlinear inequalities is graphed below
Rashid [163]

Answer:

(x²/4) + (y²/16) ≤ 1

Step-by-step explanation:

The general form of the ellipse in the graph is

x²/4 + y²/16 = 1

we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct

Choice 1: x²/4 + y²/16 ≥ 1

Choice 2: x²/4 + y²/16 ≤ 1

we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.

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4 0
3 years ago
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
fiasKO [112]

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
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