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Kisachek [45]
3 years ago
9

Suppose you are constructing a scale model solar system using a scale ratio of 1 to 10 billion. In your scale model what will be

the diameter of Jupiter (in meters)? The diameter of jupiter is 143,000 km
A) 0.00143 m B) 0.0143 m C) 0.143 m D) 0.000143m​
Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0

Answer:

Step-by-step explanation:

First convert km to meters

143000 km = 143,000,000m = 1.43*10^8 m

Now convert 10 billion to scientific notation1  00

10 billion = 1 * 10^10

What this means is that 1 * 10^10 meters in outer space = 1 meter for the scale model.

Now show what the ratio is for

1.43*10^8

========          Divide by the denominator

1 * 10^10

1.43 * 10^(8 - 10)

1.43 * 10 ^ - 2               meters

Answer: 0.0143m or B

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vladimir2022 [97]

Answer:

Vertical.

Horizontal.

Diagonal

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The realtor and her clients do not know the average home sale price for all of Guelph (500 was actually just a guess). However,
strojnjashka [21]

Answer:

a) The 99% confidence interval would be given by (346.708;453.292)

b) The 99% confidence interval would be given by (338.445;461.555)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=400 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=80 represent the population standard deviation

n=15 represent the sample size  

2) Part a

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

Now we have everything in order to replace into formula (1):

400-2.58\frac{80}{\sqrt{15}}=346.708    

400+2.58\frac{80}{\sqrt{15}}=453.292

So on this case the 99% confidence interval would be given by (346.708;453.292)    

3) Part b

For this case we don't know the population deviation so we need to use the t distribution instead the normal standard distribution.

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

We need to find the degrees of freedom first df=n-1=15-1=14

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that t_{\alpha/2}=2.98

Now we have everything in order to replace into formula (1):

400-2.98\frac{80}{\sqrt{15}}=338.445    

400+2.98\frac{80}{\sqrt{15}}=461.555

So on this case the 99% confidence interval would be given by (338.445;461.555)    

4 0
3 years ago
Help please thanks .
serious [3.7K]

Answer:

27

Step-by-step explanation:

3 0
3 years ago
Help pls lol
Kobotan [32]

Answer:

Options :

A.

C.

D.

Step-by-step explanation:

1200m + 500 = 10700

5 0
3 years ago
7,14/5, 8/25 find the 7th term
tiny-mole [99]
I believe that would be 7
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