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2 years ago

What property is shown?: a(b + c) = ab + ac

Mathematics

2 answers:

Ksivusya [100]2 years ago

5 0

The answer is Distiptive propriety plz tell me if I’m wrong

Vlad1618 [11]2 years ago

3 0

Distributive property

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Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in

Leno4ka [110]

Answer:

The 95% confidence interval for the population variance is (8.80, 32.45).

Step-by-step explanation:

The (1 - α)% confidence interval for the population variance is given as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

It is provided that:

n = 20

s = 3.9

Confidence level = 95%

⇒ α = 0.05

Compute the critical values of Chi-square:

$\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2, (20-1)}=\chi^{2}_{0.025,19}=32.852\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.05/2, (20-1)}=\chi^{2}_{0.975,19}=8.907$

*Use a Chi-square table.

Compute the 95% confidence interval for the population variance as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

$\frac{(20-1)\cdot (3.9)^{2}}{32.852}\leq \sigma^{2}\leq \frac{(20-1)\cdot (3.9)^{2}}{8.907}\\\\8.7967\leq \sigma^{2}\leq 32.4453\\\\8.80\leq \sigma^{2}\leq 32.45$

Thus, the 95% confidence interval for the population variance is (8.80, 32.45).

4 0

2 years ago

Thank you will mark brainliest

frozen [14]

Answer:

Option D

Step-by-step explanation:

We have to find the value of the composite function (h o k)(2).

Since, (h o k)(x) = h[k(x)]

(h o k)(2) = h[k(2)]

From the picture attached,

At x = 2

k(2) = (-2)

Therefore, h[k(2)] = h(-2)

Since, h(x) = $\frac{3}{x+1}$

Therefore, h(-2) = $\frac{3}{-2+1}$

= -3

(h o k)(2) = -3 is the answer.

Option (D) is the correct option.

8 0

1 year ago

the sum of the first nine terms of an arithmetic series is 162, and the sum of the first 12 terms is 288. Determine the first fi

Natali5045456 [20]

Answer:

$\boxed{\pink{\tt \leadsto Sum \ of \ first \ five \ terms \ is \ 50 . }}$

Step-by-step explanation:

Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.

$\boxed{\red{\bf \bigg\lgroup For \ answer \ refer \ to \ attachment \bigg\rgroup }}$

<h3>Related Information :- </h3>

• The sum of n terms of an AP is

$\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}$

• nth term of an AP is given by ,

$\boxed{\blue{\sf T_n = a+(n-1)d }}$

8 0

1 year ago

Dylan and Javier had the same size serving of vegetables for dinner. Dylan finished 2/3 of his vegetables. Javier ate 4/6 of his

Bond [772]

Both because 2 x 3 is 6 2x2 is 4 and you get 4/6 so both have the same amount of vegetables

7 0

2 years ago

Read 2 more answers

Which best describe a vector

ANEK [815]

Answer:

Vectors are used to represent physical magnitudes that have an associated address.For example,if we want to represent the displacement of an object,it is not enough to describe only the distance as 10 meters, it is also necessary to describe in which direction the displacement occurred,for example,30°towards the northeast.

Hope this helps:)

6 0

2 years ago