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zysi [14]
2 years ago
15

Kevin went car shopping. The scatterplot at the right shows the relationship between the number of miles each of the cars had an

d their price. Based on the scatterplot, how much would a car with 75,000 miles cost?
Mathematics
1 answer:
Fofino [41]2 years ago
4 0
How much money to a mile
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There are 42 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time
harkovskaia [24]

Answer:

A) 0.99413

B) 0.00022

Step-by-step explanation:

A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:

Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes

Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:

μ = n*μ_s ample = 42 × 5 = 210 minutes

While the standard deviation for the population would be:

σ = √nσ_sample = √(42 × 6) = 15.8745 minutes

To find the z-score, we will use the formula;

z = (x - μ)/σ

Thus;

z = (250 - 210)/15.8745

z = 2.52

From the z-distribution table attached, we have;

P(Z < 2.52) ≈ 0.99413

B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

z = (260 - 210)/15.8745

z = 3.15

P(Z > 3.15) = 0.00022

5 0
2 years ago
Find the exact value of cos(7\pi /12)
Naya [18.7K]

7π/12 lies in the second quadrant, so we expect cos(7π/12) to be negative.

Recall that

\cos^2x=\dfrac{1+\cos(2x)}2

which tells us

\cos\left(\dfrac{7\pi}{12}\right)=-\sqrt{\dfrac{1+\cos\left(\frac{7\pi}6\right)}2}

Now,

\cos\left(\dfrac{7\pi}6\right)=-\cos\left(\dfrac\pi6\right)=-\dfrac{\sqrt3}2

and so

\cos\left(\dfrac{7\pi}{12}\right)=-\sqrt{\dfrac{1-\frac{\sqrt3}2}2}=\boxed{-\dfrac{\sqrt{2-\sqrt3}}2}

7 0
3 years ago
I need a critique on my channel pls,it’s my1unknown and has Peter from family guy as my icon
Angelina_Jolie [31]

Answer:

I think your channel is rlly cool and deserves more attention from viewers.

Step-by-step explanation:

I rlly like the content!

6 0
2 years ago
Solve for x: 2 over 5 (x − 2) = 4x
ra1l [238]

Answer:

x = - \frac{2}{9}

Step-by-step explanation:

given the equation

\frac{2}{5}(x - 2) = 4x

multiply both sides by 5 to eliminate the fraction

2(x - 2) = 20x

2x - 4 = 20x ( subtract 2x from both sides )

- 4 = 18x ( divide both sides by 18 )

x = - \frac{4}{18} = - \frac{2}{9}

6 0
2 years ago
Read 2 more answers
Select all ratios that are in their simplest form.<br> A 11:12 B 4:28 C 7:14 D 26:3 E 11:29
kipiarov [429]

Answer:

this is easy. all you have to do is find a common numeral between each number in each ratio. a ratio is in its simplest form when the two numbers have no numeral in common (for example A being 11:12). B and C both could be simplified because 4 and 28 can both be divided by 4 and 7 and 14 in answer C are both divisible by 7. answers D and E, however, are both already simplified like answer A.

8 0
2 years ago
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