Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve. John and Oliver are working a shift that starts at the same time. John always arrives 8 minutes late. What percentage of the time does Oliver arrive within 10 minutes of John's arrival time? O 26.7% O 33.3% 2 O 40% O 50%​

Answers

Answer 1

Answer:

40%

Step-by-step explanation:

10 minutes late would mean 18 minutes late on the graph. The graph goes from 10-30 which creates a difference of 20. 8 divided by 20 equals 40 percent.

Answer 2

40 percent of the time does Oliver arrives within 10 minutes of John's arrival time.

Given that,

Oliver is typically 10–30 minutes late for his shift at work.

The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.

John and Oliver are working a shift that starts at the same time. John always arrives 8 minutes late.

We have to determine,

What percentage of the time does Oliver arrive within 10 minutes of John's arrival time?

According to the question,

Oliver is typically 10–30 minutes late for his shift at work.

John and Oliver are working a shift that starts at the same time.

John always arrives 8 minutes late.

From the complete information, the probability distribution will be:

[tex]= \dfrac{1}{b-a}\\\\= \dfrac{1}{30-10}\\\\= \dfrac{1}{20}[/tex]

Here, John always arrives 8 minutes late.

Therefore,

The percentage of the time that Oliver arrives within 10 minutes of John's arrival time is,

[tex]\rm = 8 \times \dfrac{1}{20}\\\\= \dfrac{2}{5}\\\\= 0.4 \times 100 \\\\= 40 \ Percent[/tex]

Hence, 40 percent of the time does Oliver arrives within 10 minutes of John's arrival time.

For more details refer to the link given below.

https://brainly.com/question/9329013


Related Questions

A Segment Has A Midpoint At (3,2)And One Endpoint At (4,-4) What Is The Ordered Pair Of The Other Endpoint ?

Answers

Answer:

Step-by-step explanation:

(x + 4)/2= 3

x + 4 = 6

x = 2

(y - 4)/2= 2

y - 4 = 4

y = 8

(2, 8) the other endpoint

how do you add and subtract decimals??

Answers

Answer:

add ans subtract like normal

Step-by-step explanation:

Step-by-step explanation:

To add decimals, follow these steps: Write down the numbers, one under the other, with the decimal points lined up. Put in zeros so the numbers have the same length .Then add, using column addition, remembering to put the decimal point in the answer.

subtraction also in the same way only place the large no up and small down and do subtraction.

I hope this helps....

5. What is the side length of a square with
an area of 7 square units?

Answers

Answer:

3.5 units

Step-by-step explanation:

Since it's a square, all sides are the same length. To find the two side lengths used to get the area, you divide 7 by 2.

7÷2=3.5 units

Solve: 4(x-1)-3(3x-2)=12(x+2)

Answers

Answer:

4x - 4 -9x + 6 = 12x + 24

arrange like terms

-5x +2 = 12x + 24

or, -17x = 22

x = - 22/17

Answer:

4x-4-9x+6=12x+24

4x-12x-9x= 4-6+24

-17 x= 22

X= -22/17

mark it as brainliest!!!

Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3 x 5 x 5

Answers

Answer:

c

Step-by-step explanation:

The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.

It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The given number is as follows:

450

We need to write 450 as the product of its prime factors, which is 450.

⇒ 450 = 2 x 3 x 3 x 5 x 5

Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.

Therefore, the correct answer is option C.

Learn more about Prime Factorization here:

brainly.com/question/4184435

#SPJ7


A. 3
B. 4
C. 130
D. 35

Answers

Answer:

a) 3

Step-by-step explanation:

3+10= 13

hope this helped :)

Answer:

A. 3

Step-by-step explanation:

? + 10 = 13

? = 13 - 10

? = 3

Which pair of undefined terms is used to define the term parallel lines?

Answers

Answer:

The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines

Step-by-step explanation:

Question: Write an expression for each statement to represent the quantity in terms of its context. 1. A car rents for $35 per day plus 15 cents per mile driven. 2. The sum of three consecutive even integers. 3. One-fifth of the sum of r and 7 minus the product of 9 and s 4. On a farm, the number of cows is 70 more than half the number of goats and sheep.

Answers

Answer:

Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.

Step-by-step explanation:

I NEED HELP .A group of 5 friends is out to dinner. Each of the friends will order the dinner special, and they have a coupon for $10 off the entire bill. Which equation can be used to find the total cost of all the dinners after the coupon is applied? A. 10d + 5 equals c B.v d minus 10 equals c C. 10d - 5 equals c D. 5 D + 10 equals c ​

Answers

Answer:

ok um im in sekond grqade sooory

Step-by-step explanation:

Over which interval is the graph of y= cos(x) strictly increasing?

A. 0 B. 0 C.pi/2D. Pi< x <2pi

Answers

Answer:

D. [tex]\pi<x<2\pi[/tex]

Step-by-step explanation:

Given the function

[tex]y=cosx[/tex]

Kindly refer to the graph attached in the answer area.

Referring to the intervals [0, [tex]2\pi[/tex]].

It decreases from the interval [0, [tex]\pi[/tex]] and then starts increasing in the interval

[tex][\pi,2\pi][/tex].

Proving by taking derivative:

Taking derivative of the function, [tex]y=cosx[/tex]

[tex]\dfrac{dy}{dx}=-sinx[/tex]

In the interval [tex][\pi,2\pi][/tex], [tex]sinx[/tex] is negative i.e. [tex]sinx<0[/tex].

Therefore [tex]-sinx>0[/tex]

When, the derivative of a function is positive, then the function is strictly increasing.

So, the answer is:

D. [tex]\pi<x<2\pi[/tex]

What is the distance between P(-4, 3) and Q(6, 1)? Round to the nearest tenth.
9.8
4.5
10.2
1.5

Answers

Answer:

10.2

How I found this answer:

4+6=10

3-1=2

10^2+2^2=104

The square root of 104 is 10.1980390272, which can be rounded to 10.2

!!!50 points!!
What are two other names for <2?

Answers

Answer:

C.

Step-by-step explanation:

Because R is the vertex and you always name a angle with its vertex in the middle, R would have to be in the middle. So the only possible answer is C.

what can you conclude about parallel lines with regard to the distance between them? use the word perpendicular your answer.

Answers

Answer: Hope this helps ;3

The shortest distance between two parallel lines is the length of the perpendicular segment between them. It doesn't matter which perpendicular line you choose, as long as the two points are on the lines.

Answer: Perpendicular is the length of the  distance of parallel lines

Step-by-step explanation:

Christina is packing different books into boxes. The paperback books weigh 0.8 pounds each. The hardcover books weigh 1.3 pounds each. Christina needs to pack the boxes so that there are at least 20 books in each box, but the boxes cannot weigh more than 30 pounds.

Identify Christina’s set of constraints.

Answers

Answer:

P + H ≥ 20

P*0.8 lb + H*1.3 lb ≤ 30lb

Step-by-step explanation:

Let's define H as the number of hardcover books.

Let's define P as the number of paperback books.

Now we have the restrictions:

"... so that there are at least 20 books in each box..."

Then:

P + H ≥ 20   (the total number of books per box is 20 or larger)

"...but the boxes cannot weigh more than 30 pounds."

P*0.8 lb + H*1.3 lb ≤ 30lb (the maximum weight that we can have in the box is 30 pounds)

Then the set of constraints is:

P + H ≥ 20

P*0.8 lb + H*1.3 lb ≤ 30lb

Notice that this system has a lot of possible solutions.

P = 20 and H = 0 is  a solution

P = 21 and H = 0 is a solution.

P = 19 and H = 1 is a solution.

etc...

WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).

Answers

Answer:

9

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

[tex]\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}[/tex]

then I simplified them

[tex](5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\[/tex]

[tex]36 + k^2 - 4k +4 = k^2 + 4[/tex]

[tex]-4k + 36 = 0\\[/tex]

[tex]4k = 36[/tex]

[tex]k = 9[/tex]

when k = 9, the two distances are equal

Mack thinks that natural numbers are a subset of irrational numbers. Is Mack correct?

Answers

Answer:

He is incorrect.Because if they are irrational they are the opposite.

Step-by-step explanation:

f(x) = -2x + 10
f(-1.5)

a 13
b -13
c 20
d -20

Answers

Answer:

f( -1.5) = 13

Step-by-step explanation:

F(-1.5)= -2(-1.5)+10

-2 times -1.5 = 3

3+10

f( -1.5) = 13

If f(x) = 2x -1, what does f(10) equal?
-1
16
19
33
Asap pls

Answers

Step-by-step explanation:

f(x) = 2x - 1

f(10) = 2(10) - 1

= 20 - 1 = 19

Find the next number in the sequence 1, 1/4, 1/9 , 1/16, 1/25

Answers

(Add5) 1/9..(add 7) 1/16... (add9) 1/25... (add 11) and get -> 1/36

Are these expressions equivalent?

Answers

Answer:

Yes

Step-by-step explanation:

If you subtract the p4 and p2 you get p2. q5-q2 is q3. 39/3 is 13. Therefore those expressions are equivalent.

Convert 255.38° to DMS

Answers

255 22 48
D=int(255.38)=255
M=int(255.38-255)x60)=22
S=int(255.38-255-22/60)x3600=48

255.38=255 22 48 DMS

Can you help me please?

Answers

Answer:

the answer is 2.620

Step-by-step explanation:

the way u will get this is at the top there pattern is adding the bottom they are subtracting 2

Simplify: -7 -(-3)
Sometimes help me

Answers

Answer: -4
Hope this helps

what is the answers to
8x-2-5x+7= ​

Answers

Answer: 3x +5

Step-by-step explanation:

Group the variables first 8x-5x is 3x. Then look at the numbers -2+7 is 5.

You can't combine letters and numbers so it's as far as you can go.

x²y + 2 xy² + 3x²y=?

Answers

Answer:

2xy(2x+y)

Step-by-step explanation:

xy(x+2y+3x)

By factoring the xy out you have to divide all term by xy giving you that :)

G is between E and H, and F is the midpoint of EG. If FG=2 and FH=8, find EH.

Answers

Answer:

EH = 10

Step-by-step explanation:

Because F is a midpoint, that means that FG and EF are congruent to each other. So, since FG = 2, that means that EF also equals 2. Because FH also includes FG, you can take the 2 from the FG, and then take that 2 away from 8. Now you know that GH = 6. All that is left is to add all 3 of the units together (2+2+6=10).

-5/7 (50/5 - 1/5) explanation too please

Answers

I have this question tooo

write a calculation and a result that represents a number that is 5 greater than 3

Answers

Step-by-step explanation:

vt7vy7v fyy7ctyxt6zqDg gj

Your cell phone plan costs $34.99 per month plus $0.16 for each text message you send or receive. You have at most $42 to spend on your cell phone bill. What is
the maximum number of text messages that you can send or receive next month?
The maximum number of text messages is
HELP NOW PLEASE

Answers

Answer:

262.5 messages per month

Step-by-step explanation:

Cost of plan = $34.99

Cost per message = $0.16

Maximum bill = $42

Maximum # of messages = $42/$0.16 = 262.5

are x and 12x like terms plz i need this!

Answers

Yes.

You can add them together to get 13x.

because you can add them together, they are alike terms.

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