A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes. What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week

Answers

Answer 1

Answer:

0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes.

This means that [tex]\mu = 112, \sigma = 12[/tex]

What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week?

This is the p-value of Z when X = 90. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{90 - 112}{12}[/tex]

[tex]Z = -1.83[/tex]

[tex]Z = -1.83[/tex] has a p-value of 0.0336

0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.


Related Questions

X + 3( x + 2) + 2 in the simplest form

Answers

Answer:

4x+8

Step-by-step explanation:

X + 3( x + 2) + 2

Distribute

x +3x+6+2

Combine like terms

4x+8

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]4x + 8[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the expression:}}\\\\\underline{x+3(x+2)+2}\\\\\rightarrow x + 3x + 6 + 2\\\\\rightarrow 4x + 6 + 2\\\\\rightarrow \boxed{4x + 8}[/tex]

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Please can someone answer quickly

Answers

43.5% should be correct

Can someone help me and explain because i don’t understand.

Answers

Answer:

y=33 degree

Step-by-step explanation:

y = 33 degree (the relation between y and 33 is they are vertically opposite angles anf verticelly opposite angles are always equal)

if i got a F this quarter but all passing grades last quarters yall think i would have summer school ?

Answers

Answer:

I dont know

Step-by-step explanation:

Answer:

Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)

Step-by-step explanation:

which fraction does not belong? 2\3. 6\9. 4\6 6\8​

Answers

Answer:

6/8

hope this helps

have a good day :)

Step-by-step explanation:

A laptop company claims up to 8.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 7.5 hours and standard deviation 27 minutes. (a) What is the probability that the battery life is at least 8.1 hours

Answers

Answer:

0.0918 = 9.18% probability that the battery life is at least 8.1 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 7.5 hours

This means that [tex]\mu = 7.5[/tex]

Standard deviation 27 minutes.

An hour has 60 minutes, which means that [tex]\sigma = \frac{27}{60} = 0.45[/tex]

What is the probability that the battery life is at least 8.1 hours?

This is 1 subtracted by the p-value of Z when X = 8.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8.1 - 7.5}{0.45}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a p-value of 0.9082.

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that the battery life is at least 8.1 hours.

Question 1
If mZHOE =19° and mZHOP=48°, find mZEOP.
H
O
Р

Answers

Answer:

mEOP is 29°

Step-by-step explanation:

mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°

- 19-48=29

Find the Value of x from the angles

Answers

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The value of [tex]x°[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION :}}}[/tex]

[tex]\longrightarrow{\blue{ x°\:=\:35° }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ [tex]x°[/tex] + 125° + 20° = 180°

➪ [tex]x°[/tex] + 145° = 180°

➪ [tex]x°[/tex] = 180° - 145°

➪ [tex]x°[/tex] = 35°

Therefore, the value of [tex]x°[/tex] is 35°.

Now, the three angles of the triangle are 35°, 125° and 20°.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]

✒ 35° + 125° + 20° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Find the radius of the circle whose equation is (x - 2)2 + (y - 4)2 = 9.

Answers

Hope this help!!!

Have a great day!!!

Which graph matches the equation y+3=2(x+3)?

A (0,3) (-3,-3)
B (0,6) (-3,0)
C (0,-3) (-3,-9)
D (3,3) (0,-3)​

Answers

Answer:

A (0,3) (-3,-3)

Step-by-step explanation:

A graph will match the equation if both the coordinates points replaced in the equation generate a identity.

When x = -3

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(-3 + 3)[/tex]

[tex]y + 3 = 0[/tex]

[tex]y = -3[/tex]

So (-3,-3) is part of the graph.

When x = 0

[tex]y + 3 = 2(x + 3)[/tex]

[tex]y + 3 = 2(0 + 3)[/tex]

[tex]y + 3 = 6[/tex]

[tex]y = 3[/tex]

So (0,3) is part of the solution.

(-3,-3) and (0,3), so option A.

Is this graph standard, vertex, or intercept?

Answers

Step-by-step explanation:

It's an intercept graph

Find the future value for a $100,000 investment for 12 years at a compounded continuously at 2.1%?

Answers

Answer:

128659.6037

Step-by-step explanation:

contiously compounding interest formula:

PV(e^(i*t))

100000e^(.021*12)=128659.6037

What is the probability that a standard number cube will show a two, five, or six when it is rolled?

Answers

Answer:

[tex]p=0.5[/tex]

Step-by-step explanation:

A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50

A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centimeters will it take to fill the bowl

Answers

Answer:

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Step-by-step explanation:

Given;

diameter of the hemisphere, d = 14 cm

radius of the hemisphere, r = d/2 = 14/2  = 7 cm

The volume of the hemisphere is calculated as;

[tex]V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3[/tex]

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

What is the value of log27 165

Answers

The solution of the logarithmic function log₂₇165  found using logarithmic properties is :

(1 + log ₃55)/3.

What is a logarithmic function?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. The usage of logarithmic functions makes it simple to determine some of the non-integral exponent values. The common logarithmic function, which has a base of 10, is identified by the symbols log₁₀ or log.

We are asked to solve the following logarithmic function.

 log₂₇165

Here the base of the log is 27.

According to logarithmic properties, we can write the above functions as:

 log₂₇165  = log 165 /  log 27

If we are dividing the numerator and denominator by log 3, then the new base will become 3.

(log 165 / log 3) / (log 27/log3) = log ₃165 / log₃ 27

Now we can solve as follows,

log ₃165 / log₃ 27 = log ₃(3*55) / log₃ (3³) = [log ₃(3)+log ₃(55)] / 3log₃3

                                          = (1 + log ₃55)/3

Therefore the solution of the logarithmic function log₂₇165  is

(1 + log ₃55)/3.

To learn more about logarithmic functions, follow the link.

https://brainly.com/question/13473114

#SPJ1

The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?

Answers

Answer:

You didn't attach an image, can't exactly help. sorry!

How many minutes is it from 11:50 to 12:18

Answers

Answer:

28 minutes

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

so it is 28 minutes

Step-by-step explanation:

A rectangular piece of plywood 7.00 ft by 10.00 ft is cut from one comer to an opposite comer. What are the angles between the edges of the resulting pieces? Include
all resulting angles
The angle(s) is/are degrees
(Round to the nearest tenth as needed. Use a comma to separate answers as needed. Do not include the degree symbol in your answer. Type each answer only
once.)

Answers

Answer:

Step-by-step explanation:

let one angle=a°

second angle=(90-a)°

tan a=7/10=0.7

a=tan^{-1}(0.7)≈35.0°

other angle=90-35=55.0°

What is 6/22 as percent?

Answers

Answer:

27%

Step-by-step explanation:

divide 6 by 22. you get .27 and then you move the decimal point to the right twice

Answer:

27%

Step-by-step explanation:

six divided by twenty two is 0.272, which is 27%

Which of the following graphs can be used to find the solution to x2 – 4x + 3 = 0?

Answers

Answer:

D

Step-by-step explanation:

it would be d because that's where the 3 is in the y axis

Answer:

A

Step-by-step explanation:

Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.

what is the domain of the function in this table?​

Answers

Answer:

there is no table appearing so unfortunately no one can answer this for you. sorry!!

Item 22
The distance between Cleo's home and work is 9 kilometers. She travels between home and work 36 times each month.

How many kilometers does Cleo travel between home and work each month?

Answers

Answer:

324 kilometres

What I did was do 36x10 which is 360

Then I did 360-36=24 because the question wants 9x36 not 10x36

What steps do i have to take to get the proven

Answers

Answer:

I can't really see I wish I can help

If the price of ice cream changes by 30 percent and the quantity demanded changes by 75 percent, what is the absolute value of demand elasticity?

Answers

2.5,so demand is elastic

1=2
2=8
3=18
4=32
5=?

Answers

The answer is 5 because if the backflip number 8

the place value of 4 in 56437 is:​

Answers

Answer:

thousands

Step-by-step explanation:

56437

tents hundreds thousands

ow many three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters

Answers

Answer:

336

Step-by-step explanation:

A total of 512 possible words can be made.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 8 letters word "FGHIJKLM"

Assume that there are [y] possible combinations. Then, the total number of [x] digit words that can be made are -

y = 8ˣ

y = 8ˣ

y = 8 x 8 x 8

y = 512

Therefore, a total of 512 possible words can be made.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

5. In the figure Find X (In the picture) (giving points to best answer/brainlest)​

Answers

Answer:

x = 93

Step-by-step explanation:

*for angle labels, see picture below

Using angle addition postulate, we can say that angle EAC is the sum of angle CAB and angle BAE:

m<EAC = m<CAB + m<BAE

m<EAC = x + 39

Since line l and m are parallel, you can say that angle ACD is an alternate interior angle to angle EAC. This means they are equal.

Now, we can write an equation to solve for x:

m<EAC = m<ACD

x + 39 = 132

x = 93

Answer:

x=93°

Step-by-step explanation:

If l ıı m

l=180° ; 132°+?(y) =180° (Co-interior angle)

Find the value of y

132°+y=180°(Transpose)

y=180°-132°

y=48°

...

Find x

39°+x+48°=180°(Transpose)

x=180°-48°-39°

x=93°

Find the exact value of the following.

Find -xy, for x = -75.9 and y = 2.6.
-xy =

Answers

Answer:

197.34

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

x = -75.9

y = 2.6

-xy

Step 2: Evaluate

Substitute in variables:                                                                                     -(-75.9)(2.6)Multiply:                                                                                                             (75.9)(2.6)Multiply:                                                                                                             197.34

Find the inner product for (4,8) (6,-3) and state whether the vectors are perpendicular.

Answers

Answer:

[tex] = \binom{4}{8} . \binom{6}{ - 3} \\ = (4 \times 6) + (8 \times - 3) \\ 24 + ( - 24) \\ = 0 \\ since \: inner \: product \: is \: zero : \\ the \: vectors \: are \: perpendicular[/tex]

Answer:

0

The vectors are perpendicular

Step-by-step explanation:

(4,8) (6,-3)

The inner product is also known as the dot product

4*6 + 8*-3 = 24-24 = 0

The  vectors are perpendicular since the dot product is zero

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