It is estimated that the distance traveled by each volunteer driver at the Huntington VA Medical Center is normally distributed with a mean of 50 thousand miles and a standard deviation of 12 thousand miles each year. What percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year?

Answers

Answer 1

Answer: 25.08%

Step-by-step explanation:

Given: Distance traveled by each volunteer driver is normally distributed.

Mean ([tex]\mu[/tex]) = 50 thousand miles

standard deviation ([tex]\sigma[/tex])=  12 thousand miles

Let X = distance traveled by each volunteer driver

Required probability : [tex]P(X<30)+P(X>60)[/tex]

[tex]=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}][/tex]

Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%


Related Questions

Need help! Please!!

What is the solution to the following system of equations?


3x+2y=15

4x − 5y=−3


A (0.5, 1)

B (3, 3)

C (1, 5)

D) I don’t know

E (3, 2)

Answers

Answer: B (3,3)

Youre welcome

In scientific notation

Answers

The answer is 5 x 10*3

Ryan buys 4 tacos for $5 and Maria buys 5 tacos for $8. Did they pay the same rate? Explain and show your reasoning? P.S im in a class right now so yeah.

Answers

Answer:

Step-by-step explanation: You must multuply the number of tacos by the money for all of them then you compare them and see if the see if they payed the same rate!P.S i'm in class too!!

Answer: They did not pay the same rate

Step-by-step explanation:

If they were to pay the same price the unit rate would be 1.25 but instead Ryan paid 1.25 for each taco and Maria paid 1.6 for each taco, which means they did not pay the same rate.

5x-4y=10
Solve for y plz Help

Answers

y = -5/2 + 5x/4. at least that’s what i got
Ndhsba shskuva hatbeom wtbdjsob twvsko jags iwte kansg 2

evaluate....
shafheahyfbejik5ewhdsa

Answers

Answer:

Step-by-step explanation:

Option B is the correct answer

Which formula represents this sequence 2,8,14...?

Answers

Answer:

[tex]a_{n}[/tex] = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

Thus the formula representing the sequence is

[tex]a_{n}[/tex] = 6n - 4

Plz help me quickly

Answers

Answer:

0

Step-by-step explanation:

according to what is given:

K = 0

N = 3

I = -2

so just substitute in these values into the given equations and solve

KN + IK

0 * 3 + -2 * 0

= 0 + 0

= 0

how to multiply rational expressions?
pls help me...

Answers

Point :

A × B = B × A

Ex)

[tex] \frac{1}{2} \times \frac{3}{4} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{2} \times \frac{1}{4} [/tex]

_________________________________

a )

[tex] \frac{12 {a}^{2} }{25 {b}^{3} } \times \frac{5b}{4 {a}^{4} } = \frac{12 {a}^{2} }{4 {a}^{4} } \times \frac{5b}{25 {b}^{3} } = \\ [/tex]

[tex] \frac{4 {a}^{2} \times 3 }{4 {a}^{2} \times {a}^{2} } \times \frac{5b}{5b \times 5 {b}^{2} } = \\ [/tex]

[tex] \frac{3}{ {a}^{2} } \times \frac{1}{5 {b}^{2} } = \frac{3}{5 {a}^{2} {b}^{2} } \\ [/tex]

_________________________________

b )

[tex] \frac{ {x}^{2} - 2x - 15 }{ {x}^{2} - 9 } \times \frac{ {x}^{2 } - 6x + 9 }{4x - 12} = \\ [/tex]

[tex] \frac{(x - 5)(x + 3)}{(x - 3)(x + 3)} \times \frac{(x - 3)(x - 3) }{4(x - 3)} = \\ [/tex]

[tex] \frac{(x - 5)}{(x - 3)} \times \frac{(x - 3)}{4} = \\ [/tex]

[tex] \frac{(x - 3)(x - 5)}{(x - 3) \: \: \: \times \: \: 4} = \frac{x - 5}{4} \\ [/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

what equation is equivalent to x + 5 =12

Answers

Answer:

x=7

Step-by-step explanation:

subtract 5 from both sides

5-12= 7

so x=7

X=7 is the correct answer here bro

DUE SOON PLZ HELP ME WILL GIVE BRAINLEST
What is the slope of the line that passes through the points (9, -1)(9,−1) and (4, -11) ?(4,−11)?
Write your answer in simplest form.

Answers

Answer:

2=the slope

Step-by-step explanation:

I used my graphing calculator.

If 132 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $2.25 and total receipts for the concert was $384, how many of each went to the concert?

Answers

Answer

i'm pretty sure 64 people attended the concert.

Step-by-step explanation:

Tell me if this helped or not.

Which trigonometric expressions equal Negative one-half? Check all that apply.

cos(120°)
Sine (StartFraction 7 pi Over 6 EndFraction)
sin(–120°)
Cosine (StartFraction 7 pi Over 6 EndFraction)
Cosine (negative StartFraction 10 pi Over 3 EndFraction)

Answers

Answer:

Its A B E

Step-by-step explanation:

Got it on Edge

Jesse is saving the money he earns in his piggybank. He had already earned
$60 from previous work. He charges $15 to mow one lawn. After mowing 4
lawns, how much total money will he have in his piggybank?

Answers

Answer:

Jesse will have $120.

Step-by-step explanation:

First you need to set up your equation. We know Jesse has $60 already and that he charges $15 per lawn. Your equation will look something like this:

15x+60=?

Then you plug in the 4 lawns he did:

15(4)+60=

Then you solve and get 120! :)

PS Parenthesis mean you are multiplying. Same thing as saying

15 x 4 + 60= 120

f(x) = -x2 + 10x - 17 a. Axis of Symmetry: b. Vertex: (Max, Min) c. Domain: d. Range: ​

Answers

Answer:

Below in bold.

Step-by-step explanation:

f(x) = -x^2 + 10x - 17

Convert to vertex form by:

f(x) = -(x^2 - 10x) - 17

= - [(x - 5)^2 - 25] - 17

= -(x - 5)^2 + 25 - 17

=  -(x - 5)^2 + 8,

a. So axis of symmetry is x = 5.

b. Vertex is (5, 8) Max.

c.   Domain is All real x.

d. Range is (-∞, 8].

What is the prime factorization of 135?

3 × 53
33 × 5
32 × 52
3 × 5 × 9

Answers

Answer:

3 x3 x 3 x 5

Step-by-step explanation:

Answer:

135 is a composite number.

135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.

Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5

Step-by-step explanation:

What is 108, 200, 000 in scientific notation?

Answers

I believe that it’s 1.082 * 10^8

What is the slope of this line?
Give your answer as a fraction in simplest terms.

Answers

Answer:

1/4 is the answer for this because the slope is 1 and 4 so this means it is going up at a 1/4 slope.

Answer:

The slope = 1/4

PLEASE HELP IM BEING TIMED!!

Then DS+ST=DT what is the property?

Options: A. Commen Sense
B. Substitution
C. Segment Addition
D. The Given

Answers

The answer should be C. Segment addition

Answer:

hope you have a good day it is cccccccc

Twenty-seven is smaller than five times a number increased by seven.

Answers

Answer:

4

Step-by-step explanation:

4=x

5x+7 =27

27=27

:(((

PLZ HELP ME ASAP! ITS DUE TODAY!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!! What are the new vertices for A, B and C?

Answers

Answer:

A'(1,1) , B'(5,3), C'(2,5)

Explanation:

when you reflect anything over the line y = x, that is the same thing as taking the inverse(you swap the x and y values)

One architect designed 30 houses on Lackey Avenue, which is 60% of all the houses on that avenue. How many total houses are there on Lackey Avenue?

Answers

Answer: 50 houses

Step-by-step explanation: If there was 100 houses the 60 percent would be 60 houses but all they did was cut the number of houses in half to try and trick you.

someone help me with this answer please!!!

Answers

Answer:

C

Step-by-step explanation:

Both AB and AC have the length of 8, meaning that they're congruent.

This means that we have an isosceles triangle.

Angle B and Angle C are equal and all angles in a triangles add up to 180 degrees so:

30 + 30 = 60

180 - 60 = 120

So C would be your answer.

Please let me know if I'm incorrect :)

Answer:

120°

Step-by-step explanation:

This is an Isosceles triangle and that means angle C = angle B

Since the sum of interior angles in a triangle is equal to 180° the measure of angle A is = 120°

Lin rode her bike 2 miles in 8 minutes. How many miles did she go in 4
minutes?

Answers

Answer:

1 mile: 4 minutes

Step-by-step explanation:

This problem can be expressed with a simple ratio: 2:8

Now, thankfully the numbers are even so we just need to simplify the ratio to get our answer. Ratios work like fractions in that manner. So we just need to divide both sides by 2 to get the _:4 result.

This gives us a ratio of 1:4. Therefore, Lin travelled 1 mile in 4 minutes.

Two children are selling lemonade. They are charging $1 for a cup. They only sell 10
Number of cups
Number of
Number of cups
Number of cups
The graph that represents the given situation is
discrete or continuous

Answers

Answer:

you may be talking about this! the answer is (A) for this graph!

if not, let me know!

[tex] \binom{lim}{x -> 0} \frac{ \sin^{2} (x) }{x} [/tex]
I looked up how to do this, but I just dont understand how the internet explains it, I need a step by step simple explanation on how to do it.​

Answers

Answer:

0

Step-by-step explanation:

To solve this without L'Hopital's rule, you need to use this identity:

lim(x→0) (sin x / x) = 1

lim(x→0) (sin²x / x)

lim(x→0) (sin x / x) (sin x)

lim(x→0) (sin x / x) · lim(x→0) (sin x)

1 · 0

0

Alternatively, since plugging in x=0 gets 0/0, we can use L'Hopital's rule.  Replace the numerator and denominator with their derivatives.

lim(x→0) (sin²x / x)

lim(x→0) (2 sin x cos x / 1)

0

PLEASE IF YOU CAN HELP ME!!

Answers

Answer: y=-1/4x+3

Step-by-step explanation:

Answer:   y = (-1/4)x + 3

==================================================

Explanation:

y = mx+b is the general form of slope intercept equations

m is the slope, b is the y intercept

The y intercept is where the graph crosses the y axis. In this case it is at (0,3) so b = 3 is the y intercept

--------------------

The slope can be found through using the slope formula

m = (y2-y1)/(x2-x1)

m = (2-3)/(4-0)

m = -1/4

Or you could note that to go from (0,3) to (4,2) we must go down 1 and over to the right 4.

slope = -1/4 = rise/run

rise = -1 means we go down 1

run = 4 means we move to the right 4

--------------------

Since m = -1/4 and b = 3, we go from y = mx+b to y = (-1/4)x+3

Can someone tell me if idid this right i’m confused.

Answers

no u didn’t, the line is wrong. from the point -1 it should intercept (-2,-4) and (2,2)
Yes but the point for x should be a little closer to the one but not on it if that makes sense. If it doesn’t than I’d say that yup it’s correct.

Pls help I didn’t get this one

Answers

Answer:

900

Step-by-step explanation:

( n − 2 ) × 180

n=sides

( 7-2)x180= 900

Your answer is 900, np!! Nice day btw :)))

Order the numbers from least to greatest: 7, 18, 12, -16, -11, 1 *

Answers

Answer:

-16, -11, 1, 8, 12, 18

Answer:

-16,-11,1,7,12,18

Step-by-step explanation:

Negative numbers are smaller the farther away they are from zero. Positive numbers get bigger the farther away from zero they go.

Which list shows the integers in ascending order?
A. 5, 4, -5, -4, 0
B. 0, 4, 5, -4, -5
C. -4, -5, 0, 4, 5
D. -5, -4, 0, 4, 5

Answers

Answer:

D

Step-by-step explanation:

Ascending means they are moving upwards.

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