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Dominik [7]
3 years ago
7

A toy train car is 6 in. long. If a real train car is 75 ft long, which of the following have the same constant of proportionali

ty as the toy train car to the real train car?
Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

use this

Step-by-step explanation:

velocity = distance / time…. So distance = velocity x time

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Please answer this correctly without making mistakes
madreJ [45]

Answer:

4 - pound bag of pears for $14.08

Step-by-step explanation:

To find out which is the better deal, we have to simplify it.

By dividing $14.08 by 4, this gives us the amount of $ each pound costs, which is $3.52.

Now let's find out the amount of $ each pound costs for the 94- ounce bag of pears for $22.56.

First, we need to convert from ounces (oz) to pounds (lbs).

There are 16 ounces in one pound, and we have 94 ounces. So, 94/16 = 5.875 pounds. So there are 5.875 lbs in the $22.56 bag. Now we need to find the amount of $ each pound costs. So we divide $22.56 by 5.875 and we get $3.84.

$3.52 < $3.84 (this is the amount of money each pound of pears cost for each bag). The first bag is cheaper per pound, so they should buy the first one (which is the 4 pound bag btw).

8 0
3 years ago
I
amid [387]

Answer:

21.56

Step-by-step explanation:

7 0
3 years ago
Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom
ira [324]

Answer:

a) The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

b) The 99% confidence interval would be given by (4.969;6.431)    

c) We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1.9 represent the population standard deviation

n=45 represent the sample size  

2) Part a

The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

3) Part b. Develop a 99 percent confidence interval for the population mean.

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 0.95 or 95%, 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):

5.7-2.58\frac{1.9}{\sqrt{45}}=4.969    

5.7+2.58\frac{1.9}{\sqrt{45}}=6.431

So on this case the 99% confidence interval would be given by (4.969;6.431)    

4) Part c. Interpret the meaning of part (b).

On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

4 0
3 years ago
Write 96% as a fraction.
RoseWind [281]

Answer:

Directly, it would be 96/100. However,  we can reduce it to become 48/50 = <u>24/25.</u>

(underlined is simplest answer)

6 0
3 years ago
Read 2 more answers
Really need help
Ket [755]
3n - 80 = 5n + 8\\3n=5n + 88\\ -2n = 88\\\\ n = -44
4 0
2 years ago
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