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Vadim26 [7]
2 years ago
13

A delivery truck driver charges a fixed base price of $6 for 2 miles. After 2 miles, he charges an additional $2 for every mile.

After 6 miles, he charges an additional $4 for every mile.
Describe the cost of the delivery truck between 1 mile and 2 miles.

A. The cost of the delivery truck between 1 mile and 2 miles is constant.

B. The cost of the delivery truck between 1 mile and 2 miles is increasing.

C. The cost of the delivery truck between 1 mile and 2 miles cannot be determined from the given information.

D. The cost of the delivery truck between 1 mile and 2 miles is decreasing.
Mathematics
1 answer:
Amanda [17]2 years ago
5 0

Answer:

B

Step-by-step explanation:

That delivery truck driver charges a fixed base price of $6 for 2 miles.

After 2 miles, he charges an additional $2 for every mile and after 6 miles, he charges an additional $4 for every mile.

We need to describe the cost of the delivery truck between 1 mile and 2 miles.

In the given graph x-axis represents the distance in miles and y-axis represents the cost in dollars.

From the given graph it is clear that the value of function is constant between x=1 and x=2.

It means the cost of the delivery truck between 1 mile and 2 miles is constant.

Therefore, the correct option is B.

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Based on historical data in Oxnard college, we believe that 37% of freshmen do not visit their counselors regularly. For this ye
slega [8]

Answer:

A sample size of 1031 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

37% of freshmen do not visit their counselors regularly.

This means that \pi = 0.37

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}

\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2

n = 1030.4

Rounding up:

A sample size of 1031 is required.

4 0
3 years ago
The perimeters of similar triangles are in the same ratio as the corresponding sides
wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

  k = d/a

Because the same factor applies to all sides, we also have ...

  k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

  • d = a·k
  • e =b·k
  • f = c·k

The perimeter of ΔABC is ...

   perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

  perimeter(DEF) = d + e + f = a·k + b·k + c·k

  perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

  k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

3 0
3 years ago
Write the equation below in slope-intercept form. <br><br> x - y = 2
Arte-miy333 [17]

slope intercept form

y=mx+b

x-y =2

we need to subtract x from each side

x-y-x = -x +2

-y = -x+2

multiply each side by -1

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y = x -2

the slope intercept form is

y = x-2

3 0
3 years ago
LABC measures 90° and ZABD measures<br> 25. What is the measurement of ZDBC?
makkiz [27]

Answer: The measurement of angle DBC is 65 degrees

Step-by-step explanation:

Line BD splits ABC into two angles ABD and DBC.

If ABC is 90 then the measures of ABD + DBC will be 90. Since we know the measure of ABD we can make this equation and solve it

90=25+x\\90-25=25+x-25\\65=x

5 0
3 years ago
Find the area and perimeter of a rectangle if<br> the length is 25 and the width is 8.
g100num [7]

Answer:

area is 200 perimeter is 66

Step-by-step explanation:

3 0
3 years ago
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