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Alex
1 year ago
5

Please help me with this I need the answers please

Mathematics
1 answer:
brilliants [131]1 year ago
4 0

i think this is the answer

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Factorise 24e^2-28e-12
Helga [31]

Answer:

4(2e - 3)(3e + 1)

Step-by-step explanation:

Given

24e² - 28e - 12 ← factor out 4 from each term

= 4(6e² - 7e - 3) ← factor the quadratic

Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.

product = 6 × - 3 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the e- term

6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )

= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term

= (2e - 3)(3e + 1)

Then

24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form

8 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
How do you do this question?
katovenus [111]
<h3>4 Answers: A, C, E, and F</h3>

================================================

Explanation:

Choice A is true assuming we have a_n = (-1)^n*b_n

In this case, a_n = (-1)^n*\frac{1}{\sqrt{n}} and b_n = \frac{1}{\sqrt{n}}

--------

Choice B is false. See choice A above.

--------

Choice C is true. The sequence \{b_n\} is decreasing. As n gets larger, b_n gets smaller. This is because the denominator is growing larger with the numerator held constant.

--------

Choice D is false. This contradicts choice C.

--------

Choice E is true since the denominator is growing forever

This is similar to  \displaystyle \lim_{n \to \infty} \frac{1}{n} = 0

--------

Choice F is true due to choices C and E being true.  

--------

Choice G is false because it contradicts choice F.

8 0
3 years ago
The following is the correct way to show the product for 0.386 × 6.1:<br><br> True<br> False
Oliga [24]
I think its false im sorry if im wrong .-.
5 0
3 years ago
Read 2 more answers
6 eggs weigh 3/4 of a pound. How much does each egg weigh?
Arada [10]

Answer:

4 2/4 or 4 1/2

Step-by-step explanation:

If you add 3/4 6 times you will get 4 2/4 or 4 1/2.

4 0
2 years ago
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