Yearly travel expenses for a family of four are normally distributed with a mean expense equal to $3,000 and a standard deviation equal to $500. What is the probability of travel expenses being greater than $4,000?

Answers

Answer 1
Answer:

Answer:

The probability is 0.02275

Step-by-step explanation:

We shall first find the z-score here

z-score = (x -mean)/SD

from the question;

x = 4,000

mean = 3,000

SD = 500

z-score = (4,000-3,000)/500 = 1000/500 = 2

So the probability we want to calculate is;

P(z > 2) = 0.02275


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(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are

Answers

Answer:

(x - 1) (x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Factor the following:

x^4 + 2 x^3 - 7 x^2 - 8 x + 12

The possible rational roots of x^4 + 2 x^3 - 7 x^2 - 8 x + 12 are x = ± 1, x = ± 2, x = ± 3, x = ± 4, x = ± 6, x = ± 12. Of these, x = 1, x = 2, x = -2 and x = -3 are roots. This gives x - 1, x - 2, x + 2 and x + 3 as all factors:

Answer: (x - 1) (x - 2) (x + 2) (x + 3)

Find the value of X, I need help solving this

Answers

Answer:

C) 8

Step-by-step explanation:

41 + 6x + 1 = 90° because this is a right angle

42 + 6x = 90 subtract 42 from both sides

6x = 48 divide both sides by 6

x = 8

Answer:

the answer should be c

Step-by-step explanation:

180-90=90

90-41=49

49-1=48

48:6=8

x=8

Jerry is a judge. He hears 555 cases every 2 3/8. Jerry hears cases at a constant rate. How many cases does he hear per hour?

Answers

About 2.1 cases so it maybe 2 full cases. Hope this helped!

At what x-values do the graphs of the functions y = cos 2x and y =3cos^2x-sin^2x intersect over the interval -pi

Answers

To find:

The x-values at the intersection of the graphs of two functions.

Solution:

Two functions are:

y=\cos2x\text{ and }y=3\cos^2x-\sin^2x

The functions are equal at the intersection. So,

\cos2x=3\cos^2x-\sin^2x

The solutions of the above equation are the x-values of the intersection.

\begin{gathered} \cos2x=3\cos^2x-\sin^2x \n \cos^2x-\sin^2x=3\cos^2x-\sin^2x \n 2\cos^2x=0 \n \cos^2x=0 \n \cos x=0 \end{gathered}

The solution to the above equation is:

x=(\pi)/(2)+2\pi n\text{ and }x=(3\pi)/(2)+2\pi n

It is given that x lies between -pi and pi. So, the value of n = 0 for the first solution and n = 1 for the second solution. Therefore,

x=(\pi)/(2)\text{ and }x=-(\pi)/(2)

Thus, options A and B are correct.

Brian has $88 and he saves $3.50 a week how many more weeks will it take him to get to 200​

Answers

Answer:

32 weeks

Step-by-step explanation:

First you should write an equation for this word problem. Since you know Brian wants to save to $200, the equation will equal 200. Then you figure out how much he has already, which is 88. Right now, the equation we have is 88+(weekly savings)= 200. He saves 3.50 a week, so the equation will finally look like 88+3.50x=200. X is how many weeks it will take for him to reach 200. We then move everything so that it all equals X. You would move the 88 first which will then give 3.50x=112. Dividing by 3.50 on both sides would give X as 32. SO the number of weeks it will take for Brian to save to $200 is 32 weeks.

What is $45.79 multiplied by .50 equal

Answers

Answer:

$45.79 multiplied by .50 equals 22.895

Answer:

686.85

Step-by-step explanation: