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3 years ago

Short Response

Mathematics

1 answer:

saw5 [17]3 years ago

5 0

9514 1404 393

Answer:

100 miles

Step-by-step explanation:

A. The answers shown are correct

B. Equate the values of y and solve for x.

0.20x +20 = 0.10x +30

0.10x = 10 . . . . . . . subtract (20+0.10x)

x = 100 . . . . . . . . divide by 0.10

The rental charges are the same for 100 miles.

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Mr. Whitman gave a test to his 32 math students. He felt the results were low, so he retested them one week later. The results o

Liono4ka [1.6K]

The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

<h3>What is box and whiskers plot?</h3>

Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

A.The difference in the median grade-

The median of first test is 60 while the second test is 80. Thus, the difference is,

$d=80-60\\d=20$

B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.

The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.

C. If the students need a 65 in order to pass the test, how many more passed the retake?

In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,

$n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8$

Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

Learn more about the box and whiskers plot here;

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8 0

2 years ago

Evaluate the imaginary number i^3

Pavlova-9 [17]

The answer to the problem i^3 is -i

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3 years ago

At one point the average price of regular unleaded gasoline was $3.41 per gallon. Assume that the standard deviation price per

Aleonysh [2.5K]

Answer:

a) $1-\frac{1}{k^2} =1- \frac{1}{2^2}= 1-0.25 = 0.75$

So we expected about 75% within two deviations from the mean

b) $1-\frac{1}{k^2} =1- \frac{1}{1.5^2}= 1-0.4444 = 0.556$

So we expected about 55.6% within 1.5 deviations from the mean

And the limits are:

$Lower = 3.41 -1.5*0.09 = 3.275$

$Upper = 3.41 +1.5*0.09 = 3.545$

c) We can calculate how many deviations we are within the mean with the limits with this formula:

$z =\frac{x-\mu}{\sigma}$

And using the lower limit we got:

$z = \frac{3.05-3.41}{0.09}=-4$

And with the upper limit we got:

$z = \frac{3.77-3.41}{0.09}=4$

So then the value of k =4 and the percentage is given by:

$1-\frac{1}{k^2} =1- \frac{1}{4^2}= 1-0.0625 = 0.9375$

Step-by-step explanation:

Previous concepts and Data given

$\mu =3.41$ reprsent the population mean

$\sigma=0.09$ represent the population standard deviation

The Chebyshev's Theorem states that for any dataset

• We have at least 75% of all the data within two deviations from the mean.

• We have at least 88.9% of all the data within three deviations from the mean.

• We have at least 93.8% of all the data within four deviations from the mean.

Or in general words "For any set of data (either population or sample) and for any constant k greater than 1, the proportion of the data that must lie within k standard deviations on either side of the mean is at least: $1-\frac{1}{k^2}$

Part a

For this case we can find the percentage required replaincg k =2 and we got:

$1-\frac{1}{k^2} =1- \frac{1}{2^2}= 1-0.25 = 0.75$

So we expected about 75% within two deviations from the mean

Part b

For this case we can find the percentage required replaincg k =2 and we got:

$1-\frac{1}{k^2} =1- \frac{1}{1.5^2}= 1-0.4444 = 0.556$

So we expected about 55.6% within 1.5 deviations from the mean

And the limits are:

$Lower = 3.41 -1.5*0.09 = 3.275$

$Upper = 3.41 +1.5*0.09 = 3.545$

Part c

We can calculate how many deviations we are within the mean with the limits with this formula:

$z =\frac{x-\mu}{\sigma}$

And using the lower limit we got:

$z = \frac{3.05-3.41}{0.09}=-4$

And with the upper limit we got:

$z = \frac{3.77-3.41}{0.09}=4$

So then the value of k =4 and the percentage is given by:

$1-\frac{1}{k^2} =1- \frac{1}{4^2}= 1-0.0625 = 0.9375$

3 0

3 years ago

zhuklara [117]

Answer:

Step-by-step explanation:

We know that the value of 1 is 4,

So, there are 2 difference,

1 is 4

2 is 6

3 is 8

4 is 10

5 is 12

So, the first five terms is 4, 6 ,8 ,10, 12.

6 0

3 years ago

You are buying balloons that cost $.89 per package to decorate for a school dance. You have $14.75 to spend. How many packages o

rosijanka [135]

Answer:

$16.57

Step-by-step explanation:

If you divide $14.75 by $.89 it give you answer of 16.5730337 but if you take the first 4 numbers it gives you $16.57 and you don't need to round the 7

3 0

3 years ago