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3 years ago

Write an equation that shows the equivalency between meters and gigameters.

1 answer:

4 0

Below is an equation that shows the equivalency between meters andGigameters:

$10 ^{9} m = 1 Gm$

The conversion factor should be used to convert from meters toGigameters should be:

$\frac{1 Gm}{10 ^{9} m }$

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What is .5 as a percent?

Luden [163]

Percent means parts out of 100
x%=x/100
0.50=0.50/1=50/100=50%

7 0

3 years ago

A random sample of 42 college graduates who worked during their program revealed that a student spent an average 5.5 years on th

Neko [114]

Answer:

$5.5-2.701\frac{1.1}{\sqrt{42}}=5.04$

$5.5+2.701\frac{1.1}{\sqrt{42}}=5.96$

So on this case the 99% confidence interval would be given by (5.04;5.96)

And the best option would be:

a. 5.04 and 5.96

Step-by-step explanation:

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".

$\bar X=5.5$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=1.1 represent the sample standard deviation

n=42 represent the sample size

Solution to the problem

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=42-1=41$

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(0.005,41)".And we see that $t_{\alpha/2}=2.701$

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

$5.5-2.701\frac{1.1}{\sqrt{42}}=5.04$

$5.5+2.701\frac{1.1}{\sqrt{42}}=5.96$

So on this case the 99% confidence interval would be given by (5.04;5.96)

And the best option would be:

a. 5.04 and 5.96

3 0

3 years ago

Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54

Lelu [443]

Answer: Light bulbs.

Step-by-step explanation:

Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.

Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.

Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.

Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.

4 0

2 years ago

I need help ASAP

dem82 [27]

Answer:

The inequality is 6 + 3x ≤ 12 or x ≤ 2 .

Step-by-step explanation:

Given that $6 is for admission which is a fixed amount, $3 is charged per hour and must not spend more than $12. So the inequality will be :

Let x be the no. of hours,

6 + 3x ≤ 12

Solve :

6 + 3x ≤ 12

3x ≤ 12 - 6

3x ≤ 6

x ≤ 6 ÷ 3

x ≤ 2

4 0

2 years ago

Read 2 more answers

Convert 50 kilogram to pounds. (The conversion factor from kilogram to pound is 2.2046.) A. 52.2 lb. B. 110.2 lb. C. 22.6 lb. D.

ss7ja [257]

Answer: (B) = 110.2

50*2.2046 = 110.23

5 0

3 years ago