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2 years ago

5

. The mass of Earth is approximately 5.9 · 1024 kg, and the mass of Venus is approximately 4.9 · 1024 kg.Given that the mass of

the sun is approximately 1.9 · 1030 kg, how many Venuses and Earths would it take to equal the mass of the sun?

1 answer:

kap26 [50]2 years ago

3 0

I really hope this helps ☺️

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in a random sample of 28 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.3 minutes. assu

antoniya [11.8K]

Answer:

The margin of error of u is of 3.8.

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.7707

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8$

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error of u is of 3.8.

The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes

The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

3 0

2 years ago

Y= x^2 -5 solve for x

dexar [7]

$Y= x^2 -5$

We need to solve for x, we need to get x alone

$Y= x^2 -5$

Lets start by removing -5

Add 5 on both sides

$y + 5= x^2 -5 + 5$

$y + 5= x^2$

Now to isolate x , we need to remove the square from x

To remove square , take square root on both sides

$+-\sqrt{y+5} = \sqrt{x^2}$

square and square root will get cancelled

$+-\sqrt{y+5} = x$

So $x = +\sqrt{y+5}$ and $x = -\sqrt{y+5}$

7 0

2 years ago

Can someone please help me with the slope?

nalin [4]

Answer:

1/2

Step-by-step explanation:

For each two units that this line moves to the right, it rises one. This means that it has a slope of 1/2. Hope this helps!

3 0

3 years ago

6 + 4/6 show all work

zvonat [6]

To answer, change the 6 into a fraction

6 x 6/6 = 36/6

36/6 + 4/6 = 40/6

Simplify

40/6 = 6 4/6, or 6 2/3 (simplified)

hope this helps

6 0

2 years ago

Read 2 more answers

Which ordered pair makes both inequalities true<br> Y<-x+1<br> Y>x

goldfiish [28.3K]

Answer:

x = -1 ; y = 1

Step-by-step explanation:

x = -1

y = 1

Plug in the corresponding numbers to the corresponding variables:

y < -x + 1

(1) < -(-1) + 1

1 < 1 + 1

1 < 2 (True)

y > x

1 > -1 (True).

~

7 0

2 years ago