The number of miles driven by a truck driver falls between 300 and 700, and follows a uniform distribution.
a. Find the probability that the truck driver goes more than 650 miles in a day.
b. Find the probability that the truck drivers goes between 400 and 650 miles in a day.
c. At least how many miles does the truck driver travel on the furthest 10% of days?

Answers

Answer 1

Answer:

(A) 0.125 probability

(B) 0.625 probability

(C) 660 miles

Step-by-step explanation:

The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.

(A) The probability that the truck driver goes more than 650 miles a day is:

[700 - 650] / [700 - 300]  = 50/400  = 0.125

(B) The probability that the truck driver goes between 400 and 650 miles a day is:

[650 - 400] / [700 - 300]  = 250/400  = 0.625

(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:

10% of 400  = 40

Subtract this from the farthest distance;

700miles - 40miles  = 660miles


Related Questions

Donald earns $11 per hour working at the bakery.If he works for 4 hours on Saturday and 5hours on Sunday,how much money will he earn?

Answers

Answer:999

Step-by-step explanation:11x9=999

How do you evaluate a division problem

Answers

Answer:

Step-by-step explanation:

Not wanting to be trite, i'd still suggest that you use a calculator for routine division.  Round off your answer (quotient) to an appropriate number of decimal places.

For example, 2/3 comes out to 0.66666 ... (repeating decimal).  You might want to round this off to 2 decimal places: 0.67.

The old fashioned "long division" is another method.

       0  .  6

    -----------

3  /   2  .  0   0   0

       0.    0  0    0

   ---------------------

        1.     8

and so on.  You still need to round off the quotient to a suitable number of decimal places.

   

I need help with this I will give you 20 points

Answers

answer : 3/10 :) hope this helps

Leslye wants to purchase a ticket to the dance. She will also purchase snack packs for herself and her friends. She is spending $3 for the ticket and knows that the snack packs will cost $5. Write
an inequality to show how many snack packs Leslye can purchase if she plans on spending less than $30.

Answers

Answer:

5 snack packs and 1 ticket.

Step-by-step explanation:

Do YoU kNoW dA wAe?

Please help due in 5 min

Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?

A. 24%
B. 30%
C. 44%
D. 60%

PLEASE show work

Answers

Answer:

B. 30 Percent

15+9=24

24/80=30 Percent

Step-by-step explanation:

Brainliest if you provide an explanation and/or get it right!

Q: Find the value of y if x = 3

Answers

y=1.75(3)

y=5.25

Hope this helps!! You just have to plug 3 in for x

I'm doing system of equations and I have to solve using substitution

the equations are y=5x and xy=45​

Answers

Plug in 5x for y
x(5x) = 45
5x^2 = 45
Divide by 5
x^2 = 9
X = 3

Answer: +3, -3

Step-by-step explanation:

ok so all you need to do is plug in that first equation into the second one.

x(5x) = 45

5x^2 = 45

x^2 = 9

x     = +3, -3

Does anyone know the simplest radical form for this question

Answers

Answer:

A.

Step-by-step explanation:

Simplify the radical by breaking up the radicand up into a product of known factors, assuming positive real numbers.

Answer:

A)  4[tex]\sqrt15\\[/tex]

Step-by-step explanation:

Start by factoring 240 to its prime factors

√240 = √10 · 24 =√2·5·2·2·2·3

look for pairs of numbers.  There are 2 pairs of 2s, so take those out of the radical

=  2·2√5·3

=  4√15

Suppose the average salary for a data scientist is $83,105 with a standard deviation of $10,503. What is the probability that the mean salary of 31 randomly selected data scientists is less than $80,000.

Answers

Answer:0.0499

Step-by-step explanation:

Let x be a random variable that represents the salary for a data scientist.

Given: Average salary for a data scientist [tex]\mu=\$83105[/tex]

standard deviation [tex]\sigma=\$10503[/tex]

Sample size : n= 31

The probability that the mean salary of 31 randomly selected data scientists is less than $80,000.

[tex]P(\overline{X}<80000)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{80000-83105}{\dfrac{10503}{\sqrt{31}}})\\\\=P(z<-1.646)\ \ \ [z=(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(z<1.646)\ \ \ [P(Z<-z)=1-P(Z<z)]\\\\=1-0.9501= 0.0499[/tex]

Hence, the required probability = 0.0499.

1. What is the range? Write your answer like # (Don’t worry that it’s not the less than or equal sign)

Helppppppp

Answers

3y

Step-by-step explanation:

Find the mean monthly subscription fee? Round your answer to the nearest cent.
$8.78
$6.78
$5.78

Answers

Answer:

$6.78

Step-by-step explanation:

Add $10 +$6 +$2.75+$3+$5+$10+$10+$4+$12+$5 =$67.75

Now divide $67.75 by 10 which is the number of values you added up

$67.75/ 10 = 6.775

Now round to nearest cent = $6.78

The answer is $6.78 !

Mr. Smith provides music lessons online for a fee. He charges $15 per lesson plus an initial fee of $30. How many lessons could Jason sign up for if he wants to spend $120?

Wright an equation to represent how many lessons Jason could sign up for. Show all steps to solve the equation. Explain what your final answer means in context of the problem.

Answers

Answer:

2 lesson with a remainer of $30

Step-by-step explanation:

$15 + $30 = $45

$45 multipled by 3 would equal 135 witch is $15 over ,

but $45 multiplyed by 2 would equal $90 with a remainer of $30 (jason could buy some McDonlads with that money , lol)

PLZ HELP!!!!!!35. ABCD is an isosceles trapezoid with A(0,-1), B(-2,3) and C(6,-1). Find the coordinates of C.
a. (3.8)
b. (9,4)
c. (2,3)
d. (8,3)

Answers

Answer:

wouldnt it be (6,-1)...

Step-by-step explanation:

because those are the cords your said c was at

Help please!! Inverse of Matrix problem!!

Number 8 please!!

Answers

Step-by-step explanation:

Inverse of p matrix is in picture

i wish it will make u easy to do♥️✌️

help


please..,..who knows this math answer

Answers

A. in a linear equation in x and y x is indepdendt so y depends on it

Can someone pls help me solving this? ITS NOT A TEST

Answers

Answer:

10x +12

Step-by-step explanation:

2(3x+7) = 6x+14

2(2x-1) = 4x-2

6x+14 +4x-2 = 10x+12

Answer:

P = 10x + 12

Step-by-step explanation:

The length of the rectangle is

L = 3x + 7

The width of the rectangle is

W = 2x - 1

The formula for perimeter of a rectangle is

P = 2L + 2W

Plug in the values for length and width and simplify.

P = 2(3x + 7) + 2(2x - 1)

P = 6x + 14 + 4x - 2

P = 10x + 14 - 2

P = 10x + 12

Order the numbers from least to greatest

Answers

Answer:

2 then the square root of 7 then 9.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

√7,2,9.5

√7=2.645

So

Order the numbers from least to greatest is

2,√7,9.5 is the answer

the first term of GP where second term is 2 and sum of infinity is8 it will be​

Answers

Answer:

a = 4

Step-by-step explanation: Given that

ar=2 where a is the first term and is the common ratio.

ar=2 ............1

Also give that a/1-r = 8 where a is the first term and r is the common ratio as well.

a/1-r = 8 ......... 2

From equation 1 make r the subject

ar=2

r= 2/a...........3

Put equation 3 into 2

a/1-2/a =8

a÷1-2/a

a = 8(1-2/a)

a= 8/1-16/a

a/1= 8a-16

a^2= 8a-16

Rewriting the above equation

a^2-8a+16=0

This will eventually be

a^2-8a+16=0

(a-4)^2= 0

a =4

solve for x, and explain how u did it :)

Answers

Answer:

71 I THINK

Step-by-step explanation:

since the angles on the base of an isosceles triangle equal each other you would wright 71=x as your equation. there is nothing else to solve so 71 is your answer

The regular price of running shoes is $89.00. They are on sale for 20% off.


a.) What is the amount of discount (amount you are subtracting from the original)?


b.) What is the sale price (the new amount)?



Please explain the question!

Answers

Answer:

a. 17.80 b. 71.20

Step-by-step explanation:

I used to hate percents. Let me teach you a trick:

take the og value (89) and multiply it by the percentage (20% or 0.2). Then once you have that answer (17.80), subtract it from the og value (89-17.80). That's your answer for how much you still owe! (71.20)

any other follow up questions? Just ask :)

Please describe a situation where you would use Excel and please describe the growth mindset needed to learn and understand.

Answers

Try and think of the benefits of your situation and how you usually feel after doing something you lie

A growth mindset is an idea that people are born with certain characteristics and can't change. A growth mindset allows a person to believe they can change themselves, and that abilities and intelligence can be developed over time. A growth mindset helps you learn that mistakes are stepping stones and that you aren't defined as some characteristic (like "dumb").

Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?
a.15x – 15 = 15x – 24
b.15x – 5 = 15x – 24
c.39x – 45 = 15x – 24
d.39x – 15 = 15x – 24

Answers

Answer: 39x-45=15x-24

Step-by-step explanation:

Do inside brackets first then simplify

plz help me thanks so much :)​

Answers

The correct answer is 6
mrs. gorl the answer is 6

A commercial apple grower estimates from past records that if 50 trees are planted per acre, then each tree will yield an average of 70 pounds of apples per season. If, for each additional tree planted per acre (up to 30), the average yield is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield?

Answers

Answer:

i) 60 trees

ii) 3600 apples

Step-by-step explanation:

50 trees per acre

Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds

Assumption :

lets assume the additional tree = X

Therefore the number of trees planted per acre = ( 50 + x )  where x ≤ 30

calculate average yield per tree =   ( 70 - x )

Total yield per acre = number of trees * average yield per tree

                                 = ( 50 + x ) * ( 70 - x )

                           Y(x)   =  3500 + 20x - x^2

i) Number of trees that should be planted per acre to obtain maximum yield per acre

y'(x) = 20 - 2x = 0   hence X ( number of additional trees ) = 20 / 2 = 10

Number of trees that should be planted per acre = 50 + 10 = 60 trees

ii) Calculate maximum yield

where ; X = 10

number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60

hence maximum yield  = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples

What is the GCF of 8 and 20
O 8
O2
O 4
O 10

Answers

What is the GCF of 8 and 20

Answer: 4

What is the sum of -16/8 and 2

Answers

Answer:

0

Step-by-step explanation:

Answer:

the answer is 0

Step-by-step explanation:

hope this helped,brainliest?

Can someone help me with problems 3&4 please

Answers

Answer:

about 37 times

A bacteria culture contains 1500 bacteria initially and doubles every hour. Find a function N that models the number of bacteria after t hours. Write out how many bacteria there will be for t = 0, 1, 2, etc. and think about how you are getting those values.

Answers

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500

what is the answer to this
u(2u+5)-4(U+3)​

Answers

Answer:

its 2u^2-4u+5u-12

Step-by-step explanation:

Please I need help I give brainliest!!

Answers

Answer:

x=x

Step-by-step explanation:

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