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Sum of 3 consecutive integers is 24 find the integers

atroni [7]

Answer:

8

Step-by-step explanation:8+8+8=24

5 0

3 years ago

Jim has 5 computer science books and 3 math books. he has room to arrange four of them on a shelf. he wants at least two compute

zysi [14]

Answer: There are 60 different ways that he can arrange the books.

Step-by-step explanation:

Since we have given that

Number of computer science books = 5

Number of math books = 3

Number of books selected = 4

Atleast Number of computer science = 2

Atleast number of math book = 1

According to question, he wants at least two computer science books and at least one math book, and he wants to keep the computer science books and the math books together.

So, Number of different ways that he can arrange the books is given by

$^5C_2\times ^3C_2+^5C_3\times ^3C_1\\\\=30+30\\\\=60$

Hence, there are 60 different ways that he can arrange the books.

8 0

3 years ago

How do i do these two while using a proportion?

AnnZ [28]

For #2, the proportion would be .40/.25 and x/15, then you would cross multiply to find x. and for #3 the proportion would be 15/6 and 75/x and again you would cross multiply to find x. (:

7 0

3 years ago

The American Association of Individual Investors conducts a weekly survey of its members to measure the percent who are bullish,

vredina [299]

Answer:

1. There is not enough evidence to support the claim that bullish sentiment differs from its long-term average of 0.39.

2. There is enough evidence to support the claim that bearish sentiment is above its long-term average of 0.30.

Step-by-step explanation:

The question is incomplete:

The American Association of Individual Investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. For the week ending November 7, 2012 the survey results showed 38.5% bullish, 21.6% neutral, and 39.9% bearish (AAII website, November 12, 2012). Assume these results are based on a sample of 300 AAII members.

1. This is a hypothesis test for a proportion.

The claim is that bullish sentiment differs from its long-term average of 0.39.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.39\\\\H_a:\pi\neq 0.39$

The significance level is 0.05.

The sample has a size n=300.

The sample proportion is p=0.385.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.39*0.61}{300}}\\\\\\ \sigma_p=\sqrt{0.000793}=0.028$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.385-0.39+0.5/300}{0.028}=\dfrac{-0.003}{0.028}=-0.118$

This test is a two-tailed test, so the P-value for this test is calculated as:

$P-value=2\cdot P(z$

As the P-value (0.906) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that bullish sentiment differs from its long-term average of 0.39.

2) This is a hypothesis test for a proportion.

The claim is that bearish sentiment is above its long-term average of 0.30.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.3\\\\H_a:\pi\neq 0.3$

The significance level is 0.05.

The sample has a size n=300.

The sample proportion is p=0.399.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.3*0.7}{300}}\\\\\\ \sigma_p=\sqrt{0.0007}=0.026$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.399-0.3-0.5/300}{0.026}=\dfrac{0.097}{0.026}=3.679$

This test is a two-tailed test, so the P-value for this test is calculated as:

$P-value=2\cdot P(z>3.679)=0$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that bearish sentiment is above its long-term average of 0.30.

3 0

3 years ago

Stephens glass holds 450 milliliters of milk. Naiahs glass holds 2/5 as much milk. How much does Naiahs glass hold?

masha68 [24]

Well there is 450 millimeters in general and Naiahs glass hold 2 out of the five fifths of Stephens glass. so you have to do 450 divided by 5 which is 90. but that is only one fifth, you have to do 90 times two. so it would be 180 millimeters. 180/450.

8 0

3 years ago

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