All categories

3 years ago

Through: (2,0), parallel to y=1/3x+3

1 answer:

vladimir2022 [97]3 years ago

4 0

Y = 1/3x + 3....slope is 1/3. A parallel line will have the same slope.

y = mx + b
slope(m) = 1/3
(2,0)...x = 2 and y = 0
now we sub and find b, the y int
0 = 1/3(2) + b
0 = 2/3 + b
-2/3 = b

so ur parallel equation is : y = 1/3x - 2/3

You might be interested in

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

Explain how to write 2.14 x 10 to the negative power of 5 in standard form by moving the decimal point

Hatshy [7]

Answer:

21.4 * 10^(-5)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Ramon and Justine are watching different broadcasts of a parade on television. The broadcast Ramon is watching airs commercials

lesya [120]

Since there is a short difference between the starting and ending times, we calculate the schedule of each commercial and then compare the broadcasting times.

Commercials of the broadcast Ramon is watching air at:

7.17, 7.34, 7. 51, 8.08, 8.25, 8. 42 8.59 a.m.

Commercials of the broadcast Justice is watching air at:

7.14 7.28 7.42 7. 56 8.10 8.24 8.38 8.52 a.m.

we can check that there are no matching commercial times.

The commercials will not air on both broadcasts at the same time in the interval 7:00 a.m to 9:00. a.m

Answer: never

8 0

3 years ago

could someone help me solve this equations with both comparison and elimination methods: 2(x+y)=120 and 2(2x+y/3)=170

Gnom [1K]

Answer:

y=21 X=39

Step-by-step explanation:

expand brackets on first equation: 2x+2y=120

now divide the second equation by 2 on both sides:

2x+y/3=85

then subtract the second equation from the first equation

so (2x+2y) - (2x+y/3)

the 2x on both sides cancel out and you get 5/3 y

this is equal to the sum of the first equation subtract the second equation which is 35

divide both sides by 5/3 and you get

y=21

substitute y in the first equation and you get X=39

4 0

1 year ago

For 30 points here you go please answer truthfully

VARVARA [1.3K]

Answer:

855 sorry i miscalculated :c okay stay safe :D

Step-by-step explanation:

enjoy

6 0

3 years ago