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vlada-n [284]
2 years ago
9

Car m left town q and car n left town p at the same time. at noon car m traveled 2/3 of the distannce from q to p and car n had

traveled 3/4 of the distance from p to q. what fraction of the distance between the two towns is the distance between the two cars at noon?
PLEASE ANSWER ASAP!!
BRAINLIEST
Mathematics
1 answer:
seropon [69]2 years ago
6 0

Answer:

Suppose the distance from q to p is 12 metres.

then, distance travelled b y car m 2/3 will be:

                                              12 * ⅔

                                            = 24 / 3

                                            = 8 metres

and distance travelled by car n 3/4 will be:

                                              12 * ¾

                                            = 36 / 4

                                            = 9 metres

under these conditions, the fraction of distance b/w them will be:

                                            9 - 8

                                          = 1 metres

And under general conditions, (same as above)

                                       ¾ - ⅔  

             by taking L.C.M

                                    =  9-8/12

                                    = 1/12 fraction

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Please help me do this one complicated and confused
IrinaK [193]

Answer:

9

Step-by-step explanation:

Area of a triangle=(base*height)/2

1) Input the values

54=(12h)/2

2) Multiply both sides by 2

54*2=(12h/2)2

108=12h

3) Divide both sides by 12

108/12=12h/12

9=h

I hope this helps! Please comment if you have any questions.

3 0
3 years ago
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An SRS of 350 high school seniors gained an average of x¯=21 points in their second attempt at the SAT Mathematics exam. Assume
Lynna [10]

Answer:

a) 21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

b) ME=2.58\frac{52}{\sqrt{350}}=7.17

c) ME=2.58\frac{52}{\sqrt{100}}=13.42

d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

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".  

Part a

\bar X=21 represent the sample mean  

\mu population mean (variable of interest)  

\sigma=52 represent the population standard deviation  

n=350 represent the sample size  

99% confidence interval  

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):  

21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

Part b

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{350}}=7.17

Part c

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{100}}=13.42

Part d

As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:

D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

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vovangra [49]

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then x = 2.

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Answer:

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9(2w−y)=21w−9y Solve for y
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9(2w−y)=21w−9y

First you multiply the numbers in the parenthesis by 9

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subtract. 21w-18w=3w

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add. -9y+9y=0

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divide.

0=w

Final answer is 0.

5 0
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