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ser-zykov [4K]
3 years ago
13

A rental car agency charges $249 per week plus $0.25 per mile to rent a car. the charge for a minivan is $180 per week plus $0.4

0 per mile. After how many miles is the total charge for each vehicle the same?
Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

460 miles, 1 week

Step-by-step explanation:

249 per week + 0.25 per mile

180 per week + 0.4 per mile

after 460 miles in 1 week the cost will be the same

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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.
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Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

m\angle SPQ+m\angle QRS=180^\circ

81^\circ+m\angle QRS=180^\circ

m\angle QRS=180^\circ-81^\circ

m\angle QRS=99^\circ

Now, SRT  is a straight line.

m\angle QRT+m\angle QRS=180^\circ             (Linear pair)

m\angle QRT+99^\circ=180^\circ

m\angle QRT=180^\circ-99^\circ

m\angle QRT=81^\circ               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

m\angle PQR=m\angle QRT+m\angle QTR

x=81^\circ+22^\circ

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Therefore, the value of x is 103 degrees.

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A repeated-measures study comparing two treatments with n = 4 participants produces md = 2 and ss = 75 for the difference scores
valentinak56 [21]

The estimated standard error for the sample mean difference is  2.5 .

According to the question

A repeated-measures study comparing two treatments

n = 4

MD(mean difference) = 2

SS (sum of square) = 75

Now,

error for the sample  

Formula for standard error

S^{2} = \frac{SS}{n-1}

by substituting the value

S^{2} = \frac{75}{4-1}

S^{2} = \frac{75}{3}

S² = 25

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Standard error of the estimate for the sample mean difference

As

The standard error of the estimate is the estimation of the accuracy of any predictions.

The formula for standard error of the mean difference

standard error of the mean difference  =\frac{standard\\\ error}{\sqrt{n} }  

standard error of the mean difference = \frac{5}{\sqrt{4} }  

standard error of the mean difference = 2.5

Hence, the estimated standard error for the sample mean difference is  2.5 .

To know more about estimated standard error here:

brainly.com/question/14524236

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