Rename the fraction as a decimal.<br><br> 3/12=

A car starts 40 meters away from home and every minute the car travels an additional 1000 meters. What

barxatty [35]

The equation would be y=1000x+40

5 0

2 years ago

Kenji buys 3 yards of fabric for $7.47. Then he realizes that he needs 2 more yards. How much will the extra fabric cost?

bixtya [17]

3 yards fabric costs $7.47
1 yard fabric costs $7.47 / 3
2 yard fabric costs $7.47 / 3 * 2
= $4.98
so, the extra fabric will cost $4.98

4 0

3 years ago

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A cylinder has a base radius of 10in and a height of 20in. What is its volume in cubic in, to the nearest tenths place?

irina1246 [14]

Answer:

6283.2

Step-by-step explanation:

$V=\pi r^{2} h$

= $=\pi *10^{2} *20$

=6283.18531

=6283.2(correct to the tenths place)

5 0

2 years ago

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(b) how many measurements must be averaged to get a margin of error of ±0.0001 with 98% confidence? (round your answer up to the

goblinko [34]

Given that the scale readings of the laboratory scale is normally distributed with an unknown mean and a standard deviation of 0.0002 grams.

Part A:

If the weight is weighted 5 times and the mean weight is 10.0023 grams, the 98% confidence interval for μ, the true mean of the scale readings is given by:

$98\% \ C. \ I.=\bar{x}\pm z_{\alpha/2}\left(\frac{\sigma}{\sqrt{n}}\right) \\ \\ =10.0023\pm2.33\left(\frac{0.0002}{\sqrt{5}}\right) \\ \\ =10.0023\pm2.33(0.000089) \\ \\ =10.0023\pm0.00021 \\ \\ =(10.0023-0.00021, \ 10.0023+0.00021) \\ \\ =(10.0021, \ 10.0025)$

Thus, we are 98% confidence that the true mean of the scale readings is between 10.0021 and 10.0025.

Part B:

To get a margin of error of +/- 0.0001 with a 98% confidence, then

$\pm z_{\alpha/2}\left(\frac{\sigma}{\sqrt{n}}\right)=\pm0.0001 \\ \\ \Rightarrow2.33\left(\frac{0.0002}{\sqrt{n}}\right)=0.0001 \\ \\ \Rightarrow\left(\frac{0.0002}{\sqrt{n}}\right)= \frac{0.0001}{2.33} =0.0000429 \\ \\ \Rightarrow\sqrt{n}= \frac{0.0002}{0.0000429} =4.66 \\ \\ \Rightarrow n=4.66^2=21.7156\approx22$

Therefore, the number of <span>measurements that must be averaged to get a margin of error of ±0.0001 with 98% confidence is 22.</span>

8 0

3 years ago

Maria hiked 2 miles in 1.5 hours how long will it take her to hike 6 miles

Darya [45]

Answer:

4.5 hours

Step-by-step explanation:

If 2 miles takes 1.5 hours, then 6 miles will be 4.5 hours.

2 miles = 1.5 hours

6 times 1.5 = 4.5

Therefore, 6 miles will take 4.5 hours.

7 0

2 years ago

Read 2 more answers

Rename the fraction as a decimal. 3/12=