The amount of time Mary spends on the phone each month can be thought of as a random variable that is approximately normally distributed. Mary spends an average of 40 hours on her phone with a standard deviation of 4 hours. Find the probability that Mary spends between 30 and 40 hours on the phone. ​

Answers

Answer 1

Answer:

0.4938

Step-by-step explanation:

Given that:

Mean, m = 40

Standard deviation, s = 4

Probability of spending between 30and 40 hours on phone :

Zscore = (x - mean) / standard deviation

P(Z = 40) - P(Z= 30)

((40 - 40) / 4) - ((30-40) / 4)

(0/ 4) - (-10/ 4)

P(Z < 0) - P(Z <-2.5)

P(Z^ 0).=0.5 ; P(Z < - 2.5) = 0.0062097

0.5 - 0.0062097

P = 0.4938


Related Questions

What could this answer be??

Answers

The number in the parentheses is the rate of change. Because this number is less than 1 it is a decrease, so it is a decay.

The percent decrease is 1 - 0.63 = 0.37 = 37% decrease

plz help I am being timed

Answers

Answer:

24

Step-by-step explanation:

A nickel has a mass of 5 grams. What is the mass of the nickel in milligrams?

Answers

Answer:

5,000 milligrams

Step-by-step explanation:

Know That One 1 gram equals = 1,000 milligrams

Hope this Helps!

Order the numbers from least to greatest.
LEAST
1
8
= 0.13
= 0.12222...
12.7%

Answers

0.122, 0.13, 12.7%, 1, 8

What is the positive square root of 16?​

Answers

Answer:

4

Step-by-step explanation:

because The square root of 16 is 4, which is a rational number.

Answer:

4

Step-by-step explanation:

%
Jaden goes to her dance class every
10 days and Scarlett goes to the same dance
class every 5 days. If they are together at the
class on Saturday, what is the next day they
will be together at the dance class?

Answers

Answer:

tuesday is answere .........

please how do you solve 60cos25​

Answers

Answer:

60cos(25)=54.378467222199

Can someone plz help me with this Math problem and plz explain how you got your answers

Answers

21 cause of x and y on its axis to atoms and protons and electrons

Using the figure below, determine which segment is parallel to the given segment.

Answers

Answer:

seg tu is parallel to seg qp

seg ts is parallel to pr

seg us is parallel to qr

Step-by-step explanation:

hope this helped :)

what is the inequality for more than 100,000

Answers

Answer:

>100,000

Step-by-step explanation:

Pop smoke I’m the one they wanna meet 1

Calculate the total mass of 3 blocks of cheese each weighing 2.3 kg,4.75kg and 0.56kg respectively.​

Answers

Answer:

7.61 Kg

Step-by-step explanation:

Total mass of all the cheese.

Which is the solution to the system 3x+y=8 and 7x−4y=25

Answers

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

3x + y = 8 → (1)

7x - 4y = 25 → (2)

Multiplying (1) by 4 and adding to (2) will eliminate the y- term

12x + 4y = 32 → (3)

Add (2) and (3)  term by term to eliminate y

19x + 0 = 57

19x = 57 ( divide both sides by 19 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3(3) + y = 8

9 + y = 8 ( subtract 9 from both sides )

y = - 1

solution is (3, - 1 )

What is the value of x?
(9x - 3)
(6x)
48°
Enter your answer in the box.
X=

Answers

Answer:  x = 9

Step-by-step explanation:

The sum of three interior angles of a triangle is 180°.

(9x - 3)  + (6x)  + 48° = 180°

9x - 3 + 6x + 48 = 180

15x + 45 = 180

15x = 135

x = 9

What is the circumference of a circle with a radius of 3 3/4mm

Answers

Answer:

23.56mm

Step-by-step explanation:

Circumference = 2 * pi *r = 2*pi* (3.75mm)

Answer: 23.56mm

What is the simplified value of the exponential expression 27 ^1/3

Answers

Answer:

27^1/3=3^3×1/3=3^1=3

therefore required answer is 3.

Answer:

3

Step-by-step explanation:

(27)^1/3

(3^3)^1/3

3

As 3*3*3 is 27 so we can write 3^3 ...both power got cancelled hence we got 3 as a answer

one package of strawberries costs $4.50 how many will 3 packages cost?


if you can please show your work:)

Answers

I think you have to multiply them to get the answer $13.5

The sum of two numbers is 54 and the difference is 8. What are the numbers?

Answers

Answer:

23 and 31 are the numbers you are searching for.

Step-by-step explanation:

23 + 31 = 54

31 - 23 = 8

Have a nice day!

Find all of the missing angles, #1-22. pleasssseeee helpppppp

Answers

1 = 53
2 = 115
3 = 107
4 = 73
5 = 115
6 = 66

I’ll do the rest later

WILL MARK BRAINLIEST IF GOTTEN RIGHT

Answers

The diameter is the measure across the circle: the diameter is given

Solution: 20 ft

Answer:

20 ft.

Step-by-step explanation:

Diameter is length across the circle/ across the middle

GO GO GO

<3

Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x

Answers

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or a+b+c+d+e+f+g+h+i = 72 if we multiply both

               9                      sides of this equation by 9.

Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i  +  x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i  +  x + x + 1

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

                        11

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72.  We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

 72 + 2x + 1

------------------- = 9 (as the new average is 9)

         11

Multiplying both sides of this equation by 11 results in:

73 + 2x = 99, or  2x = 26.

Then x must be 13, and x + 1 must be 14.

A $100 tablet is marked up by 10% and then the new price is marked down by 10%. What is the final price?

Answers

Answer:

$99

Step-by-step explanation:

So the initial price of the tablet was $100. It was marked up by 10% and then marked down by 10%. We are asked to find the final price.

To find the final price, lets first find the price after the tablet price was marked up by 10%. This means that the tablet price increased by 10%. To find the price, we can add 10% of the new original price (or 10% times $100) original price ($100):

$100 + ($100 × 0.1) = $100 + $10 = $110

We could have also multiplied $100 by 1.1 (or 1 + 10%) to find the new price.

So now we know that the new price after the tablet is marked up by 10% is $110. Now, to find the final price, we have to find the price after the new price is marked down by 10%. We can do this by taking the new price ($110) and subtracting 10% of the new price (or 10% times $110):

$110 - ($110 × 0.1) = $110 - $11 = $99

So the final price of the tablet would be $99.

I hope you find my answer to be helpful. Happy studying.

If a fair die is rolled twice and two numbers X1=result of the first roll and X2=result of the second roll are obtained. Given that X1+X2=7, what is the probability that X1 =4 or X2 =4

Answers

Answer:

P = 2/3 = 0.67

Step-by-step explanation:

Assuming that X1 + X2 = 7

The total number of outcomes such that X1 + X2 = 7 are:

X1 = 3, X2 = 4

X1 = 4, X2 = 3

X1 = 1, X2 = 6

X1 = 6, X2 = 1

X1 = 2, X2 = 5

X1 = 5, X2 = 2

So there are 6 total outcomes such that X1 + X2 = 7

Now, the probability that X1 = 4 is equal to the quotient between the number of outcomes where X1 = 4 (only one outcome) and the total number of outcomes (6)

Then:

p = 1/6

And the probability that X2 = 4 is calculated in the same way, then the probability is:

q = 1/6

Now, the probability that X1 = 4 or X2 = 4 is the sum of both probabilities we've found above, then:

P = p + q = 1/6 + 1/6 = 2/6 = 2/3 = 0.67

soccer is played on a rectangular field that is ususally 120 yard long and 75 yard long wide. find the perimeter and are the of the soccer field

Answers

Answer:211

Step-by-step explanation:you figure out you height by division and add that 120+75+16 and that’s 211 we learning that in school

Solve the following system of equations using Substitution, showing all work.

2x+y=9
3x−2y=17

Answers

Answer:

(x,y)=(5,-1)

Step-by-step explanation:

1. 2x+y=9  ---> y=9-2x

2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.

3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1

A diver found a school of fish 85 feet below the surface of the ocean. He found coral 95 feet deeper than the fish. How many feet deep from the surface was the coral?

Answers

Answer:

180 feet

Step-by-step explanation:

85+95=180 because depth + depth.

The total deep 180 feet from the surface was the coral.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that diver found the school of fish 85 feet below the surface of the ocean. Which he found coral 95 feet deeper than the fish.

The total deep from the surface was the coral.

Therefore, it could be;

depth + depth.

85 + 95 = 180

Hence, the total deep 180 feet from the surface was the coral.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

PLEASE HELP ASAPPP!!!

Answers

Step-by-step explanation:

hope it helps you......

Your answer is 50


A triangles angles add up to 180 degrees.
52+78=130
180-130=50
Angle m = 50 degrees

f(1) =

please help:)

Answers

Answer:

f(1) = 1

f(1) = -2

f(1) = -8

Step-by-step explanation:

see where there is/are points on the graph where the y-value equals one

(1, 1)

(-2, 1)

(-8, 1)

A watering can contained 5 ½ quarts water. After all the plants were watered, only 4 cups remained.

How many cups of water were used to water the plants?


7 cups

18 cups

40 cups

84 cups

Answers

Answer: 18 cups

Step-by-step explanation:

Answer:

the answer is 18 cups :))

Shawna is a member of the swim team. She can swim 3 laps in 3 minutes
and 21 seconds. If Shawna swims at the same pace, how long would it take
her to swim 8 laps?

Plzz show work

Answers

Answer:

8 mins 56 secs

Step-by-step explanation:

3 minutes and 21 seconds divided by 3 laps is 1.07 so it takes her 1 minute and 0.7 sec for each lap then u just multuply 1.07 by 8 and u get 8.56 meaning 8 mins and 56 secs. hope i helped :)

Which point is not on the graph of the function y = x + 3?

(6, 9)
(97, 100)
(8, 12)
(2, 5)

Answers

Answer: (8, 12)! :)

Explanation:
12 = 8 + 3
12 = 11
NOT TRUE

(Also, I would love to get brainliest!)

Answer:

8,12

Step-by-step explanation:

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