When Amira goes bowling, her scores are normally distributed with a mean of 160
and a standard deviation of 13. What percentage of the games that Amira bowls does
she score less than 192, to the nearest tenth?

Answers

Answer 1

Using the normal distribution, it is found that she scores less than 192 in 99.3% of games.

Normal Probability Distribution

In a normal distribution 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]

It 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, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 160, \sigma = 13[/tex].

The proportion of games in which she scores less than 192 is the p-value of Z when X = 192, hence:

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

[tex]Z = \frac{192 - 160}{13}[/tex]

[tex]Z = 2.46[/tex]

[tex]Z = 2.46[/tex] has a p-value of 0.993.

Hence, she scores less than 192 in 99.3% of games.

More can be learned about the normal distribution at https://brainly.com/question/24663213


Related Questions

Easy Question!

What is the value of x?

Answers

This answer is 58 because that angle is 90 an 99+22=112 180-112=58

Answer:

X+22°=90°

X=90°-22°

X=68°

Select the correct answer.
If and , find .

A.

B.

C.

D.

Answers

Answer:

C

Step-by-step explanation:

f(x) - g(x)

= [tex]\sqrt{x}[/tex] - x - (2x³ - [tex]\sqrt{x}[/tex] - x) ← distribute parenthesis by - 1

= [tex]\sqrt{x}[/tex] - x - 2x³ + [tex]\sqrt{x}[/tex] + x ← collect like terms

= - 2x³ + 2[tex]\sqrt{x}[/tex]

The answer is A
The rest doesn't comply with f(X)-g(X)

need help with thiss

Answers

Hello!

2( 8u² + uv²w -1) + 2( 5u²-v^6) -2( 2v)

= 16u²  +  2uv²w  -2 + 10u² - 2v^6 -4v

=   2uv²w  - 2v^6  +  26u²   -4v -2      

What additional information do you need to prove triangle NOP is congruent to triangle QSR?

Answers

Answer:

D [tex]\angle O\cong\angle S[/tex]

Step-by-step explanation:

[tex]\angle O\cong\angle S[/tex]

Hope it helps you in your learning process.

CAN SOMEONE HELP ME OUT PLEASE AND THANK YOU

Answers

Answer:

i think c no is the correct answer

How many and of which kind of roots does the equation f(x) = 2x4 – 9.23 + 1722 – 16x + 6 have?
A. 4 real
OB. 4 real; 4 complex
C. 2 real; 2 complex
OD. 4 complex
Reset Selection

Answers

Answer:

D, it admits 4 complex roots

Step-by-step explanation:

Based on what you've written;

f(x) can be rewritten by adding the light terms together as;

f(x)=2x-16x+1768.68

By graphing this function on an app, since i cannot possibly simplify this equation or use a calculator;

we observe that this function does not intersect the x-axis at any point, hence it does not admit any real roots.

So your answer must be D.

ps: Regardless if you forgot any x's in your equation and if f(x) was actually defined by,

f(x)=2x-9.32x³+1772x²-16x+6

This equation also admits 4 complex roots and does not intersect the x-axis

Pls help me on this problem I’m confused

Answers

Answer:

30 × 24 = 720 inches

since there are 12 inches in a foot

720 ÷ 12 = 60

60 feet converted to yards is 20 yards

50 - 20 = 30

they should have 30 yards of string left over

If a prime number is greater than 2, it is odd.
TRUE OR FALSE

Answers

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

4(2a + 3) < 3(a - 1)

Answers

Answer:

-3

Step-by-step explanation:

4(2a +3)<3(a - 1)

8a +12 <3a - 3

8a - 3a <-3 - 12

5a<-15

a<15 :5

a<-3

Answer:

Step-by-step explanation:

4(2a+3) =3(a-1)

simplify

8a+12 =3a-3

-12 on the 12 and -3

8a=3a-15

add 15 to the 15 and 8

13=3a

always divide by the variable so 3 divide by 3 and 3 divide by 13

A= 4.3

Graph a line with a slope of -3/4
that contains the point (2,3) ?

Answers

Answer:

First place a mark at your point. (x=2, y=3)

Step-by-step explanation:

Now when you look at the -3/4 that is called your rise over run so you will go down 3 and over 4 so your next point will be at (x=0, y=6) and then you connect your dots to make a line.

In triangle dat, m < d = 27, m < a = 105, and t=21. find d to the nearest integer.

Answers

Answer:

d = 13

Step-by-step explanation:

Given:

m ∠ d = 27°

m ∠ a = 105°

t = 21°

Look at the picture I posted

Use sine law:

[tex]\mathrm{\dfrac{ sin\:a }{ A } = \dfrac{ sin\:B }{ b }}[/tex]

∠T = 180° - 27° - 105°

∠T = 48°

[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:D }{ d }}[/tex]

[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:27 }{ d }}[/tex]

Cross multiply

[tex]\mathrm{{d\:sin\:48\°} = { 21\:sin\:27\°}}[/tex]

Solve for d

[tex]\mathrm{d = \dfrac{ 21\:sin\:27\° }{ sin\:48\° }}[/tex]

Evaluate trigonometric functions in the problem

[tex]\mathrm{d = \dfrac{ 21 \times 0.453990499739547 }{ 0.743144825477394 }}[/tex]

Multiply 21 and 0.453990499739547 to get 9.533800494530487

[tex]\mathrm{d = \dfrac{ 9.533800494530487 }{ 0.74314482547394 }}[/tex]

Divide 9.533800494530487 by 0.743144825477394

[tex]\mathrm{d = 12.828993983}[/tex]

d = 13

Rounded to the nearest integer: 13

Solve for x. 4x - 8 = 2x - 6

Answers

Answer:

x=7

Step-by-step explanation:

4x-8=2x-6

4x-2x=-6+8

2x=-14(divide both the sides by 2)

x=7

If y=tanx-cotx, then dy/dx =

Answers

Answer:

dy/dx=sec^2^(x)-(-csc^2(x)

=sec^2(x)+ csc^2(x)

so solution is E

Answer:

e) sec^2x+csc^2x

A shipping box in the shape of a rectangular prism has the volume 15,000 cm3. The length of the box is 30 cm and the width is 25 cm. What is the height of the box?

A. 24 cm
B. 16.7 cm
C. 15 cm
D. 20 cm
Please help

Answers

Answer:

  D.  20 cm

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH

__

For the dimensions given, we have ...

  15000 cm³ = (30 cm)(25 cm)H

  15000/750 cm = H = 20 cm

The height of the box is 20 cm.

pls answer both questions for brainliest :)​

Answers

Step-by-step explanation:

I explained your answer in the sent photo

If 8 superscript y baseline = 16 superscript y 2, what is the value of y?

Answers

The value of unknown number y for the equation  8 superscript y baseline = 16 superscript (y+2) is -8.

How to simplify power raised by another number?

When the power of a number is raised by another number, then multiply both the powers and the result of this product keep as the power of the number.

Let suppose there is a number a. For this number the above rule can be given as,  

[tex](a^m)^n=a^{m\times n}\\(a^m)^n=a^{mn}[/tex]

The expression which consist unknown variable y is given as,

[tex]8^y=16^{y+2}[/tex]

The above equation can be written as,

[tex](2\times2\times2)^y=(2\times2\times2\times2)^{y+2}\\(2^3)^y=(2^4)^{y+2}\\(2)^{3y}=(2^)^{4y+8}[/tex]

As the base of both side of the equation is same. Thus, the value of their exponent can be compared.

[tex]3y=4y+8\\4y-3y=-8\\y=-8[/tex]

Thus, the value of unknown number y for the equation  8 superscript y baseline = 16 superscript (y+2) is -8.

Learn more about the  power raised by another number here;

https://brainly.com/question/960886

Let's look at this system of equations"

2x - 4y = 20
X = 4

Solve the system using substitution or elimination. Show your work and/or explain your reasoning.

PLEASE HELP ME GUYS IM BEGGING YOU AND PLEASE SHOW ME HOW U DID IT!!!

Answers

Step-by-step explanation:

Given,

x = 4

2x - 4y = 20

Now,

2x - 4y = 20

or, 2×4 - 4y = 20

or, 8 - 4y = 20

or, -4y = 20 - 8

or, y = 12/-4

or, y = -3

therefore, y = -3

Answer:

(x,y)=(4,-3)

Step-by-step explanation:

2x-4y=20

x=4

substitute the given value of x into the equation

2×4-4y=20

solve the equation for y

y=-3

A possible solution of the system is the ordered pair

(x,y)=(4,-3)

CHECK SOLUTION!

2×4-4×(-3)=20

4=4

simplyfy the quality

20=20

4=4

since all of the qualities are true, the ordered pair is the solution of the system

(x,y)=(4,-3)

hey hi I hope this helps

10) y-5=-5/3(x+3)

A) x-2y = 2
C) 3x - 2y=0
B) 5x + 3y - 0
D) 3x +2y=0

Answers

Answer:

A

Step-by-step explanation:

Natasha is measuring the angles of a triangle. She measures the first two angles and gets 60° and 80°. What should be the measure of the third angle? *
1 point

Answers

the total measure of interior angles of a triangle is 180°. with this in mind and if we already know to of the angles, then all we have to do is subtract the sum of the other two angles from 180°. so 60°+80°=140°. 180°-140°=40°. so the measure of the third angle is 40°. hope this helps!

Find the distance between these 2 points: (-4, 5) and (4, 0)

Answers

Answer: Length  =  9.434

Step-by-step explanation: Input Data :

Point 1

(

x

A

,

y

A

)

= (-4, 5)

Point 2

(

x

B

,

y

B

)

= (4, 0)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =

(

x

B

x

A

)

2

+

(

y

B

y

A

)

2

Solution :

Distance between two points =

(

4

4

)

2

+

(

0

5

)

2

=

8

2

+

(

5

)

2

=

64

+

25

=

89

= 9.434

Distance between points (-4, 5) and (4, 0) is 9.434

Solve each proportion​

Answers

Hello.

In order to solve a proportion, you should cross-multiply:

[tex]\displaystyle\frac{7}{x} =\frac{5}{9}[/tex]

Multiply 7 times 9 and 5 times x:

5x=63

Divide both sides by 5:

x=[tex]\displaystyle\frac{63}{5}[/tex]

Now let's solve the second proportion.

Multiply 8p times 6 and 12 times 15:

48p=180

Divide both sides by 48:

p=3.75

I hope it helps.

Have an outstanding day.

[tex]\boxed{imperturbability}[/tex]

The Art and History Museum offers a family discount card for a donation of $57. I The table shows the price per person with and without the discount card. Child's Ticket (12 & Under) Price without Discount Card Price with Discount Card 58 $15 $12 Adult's Ticket For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card?​

Answers

Answer:

8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Step-by-step explanation:

                             Price without Discount Card   Price with Discount Card

Ticket (12 & Under)        $10                                             $8

Adult's Ticket                  $15                                           $12

Let x be the number of visits

Price without discount card for 2 adults and 1 child ticket

Price without discount for x visits = [tex]x(15 \times 2+ 10)=40x[/tex]

Price with discount for x visits =[tex]57+ x(12 \times 2+ 8)=57+32x[/tex]

Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

57+32x< 40x

57<8x

7.1<x

So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Amir wants to buy a new MP3 player that costs $76.50. If he saves $8.50 each week, how many weeks will it take Amir to save enough money to buy the MP3 player? *

Answers

After nine weeks Amir would have enough to buy the MP3

It will take Amir 9 weeks to save enough money for the MP3 player

Ahhh I’m stuck on this one please help

Answers

Answer:

1.20 ÷ 4 = 0.30 per unit

Please mark as brainliest;)

A set of four chocolate bars costs £1.20. A single chocolate bar costs. A single chocolate bar costs £0.3. As a result, the price of chocolate bars per unit is £0.3.

Jenna runs 6km per hour, how long would it take her to run 3km

Answers

It would take Jenna half an hour, or 30 minutes, to run 3 km.

Hope this helps!

PLSSS HELP

The part of a whole is called?


The part of a whole is called?

a share
b fraction
c factor
d piece

Answers

Answer:

fraction is called as the part of a whole

A part of a whole is a fraction because it’ll be like 1/2

3. If each interior angle of a regular polygon has a measure
of 168.75°, find the sum of the interior angles.

Answers

Answer:

2.13333

Step-by-step explanation:

2x180 over 168.75

I AM NOT SURE OF THE ANSWER THO

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?.

Answers

The approximate loudness of a rock concert with a sound intensity of 10⁻⁹ is 110 Db.

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The loudness (L) measured in decibels (Db), of sound intensity (I), measured in watts per square meter, is defined as

[tex]\rm L = 10 \ log \ \dfrac{I}{I_o}[/tex]

where [tex]\rm I_o = 10^{-12}[/tex] and is the least intense sound a human ear can hear.

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ will be

[tex]\rm L = 10 \ log \ \dfrac{10^-^1}{10^{-12}}\\\\\rm L = 10 \ log 10^1^1\\\\L = 10*11\\\\L = 110[/tex]

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ is 110 Db.

More about the logarithm link is given below.

https://brainly.com/question/7302008

Which of the following points would be a solution to this system of linear inequalities? ​

Answers

Let's plug in both x and y values in the equation and check if the inequality is true...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex](4,1) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]

Substitute x as 4 and y as 1

[tex]1 \leqslant 4 + 1 \\ 1 < - \frac{4}{2} - 1[/tex]

[tex]0 \leqslant 4 + 1 \\ 1 < - 2 - 1[/tex]

[tex]0 \leqslant 5 \\ 1 < - 3[/tex]

This is not a solution because both are not true, Only one equation is giving true as answer which is not correct!~

[tex]\purple{ \rule{300pt}{3pt}}[/tex]

[tex](0, - 3) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]

Substitute x as 0 and y as -3

[tex] - 3 \leqslant 0 + 1 \\ - 3 < - \frac{0}{2} - 1[/tex]

[tex] - 3 \leqslant 1 \\ - 3 < - 0 - 1[/tex]

[tex] - 3 \leqslant 1 \\ - 3 < - 1[/tex]

This is a solution because both are true, Both the equations are true which means the ordered pair is a solution!~

Thus, Option B (0,-3) is the correct choice....

1) someone answer this please

Answers

Answer:

x = 15

y = 1

Step-by-step explanation:

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