When Victoria goes bowling, her scores are normally distributed with a mean of 130 and a standard deviation of 11. What is the probability that the next game Victoria bowls, her score will be between 123 and 130, to the nearest thousandth?

Answers

Answer 1

Answer:

0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130

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 of 130 and a standard deviation of 11.

This means that [tex]\mu = 130, \sigma = 11[/tex]

What is the probability that the next game Victoria bowls, her score will be between 123 and 130?

This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 123. So

X = 130

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

[tex]Z = \frac{130 - 130}{11}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5

X = 123

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

[tex]Z = \frac{123 - 130}{11}[/tex]

[tex]Z = -0.64[/tex]

[tex]Z = -0.64[/tex] has a p-value of 0.2611

0.5 - 0.261 = 0.239

0.239 = 23.9% probability that the next game Victoria bowls, her score will be between 123 and 130


Related Questions

Which choice is equivalent to the quotient shown here for acceptable values of x?
√8^2 ÷ √3x
PLEASE NO LINK ANSWERS

Answers

Answer:

A) [tex]\sqrt{8x/3}[/tex]

Step-by-step explanation:

[tex]\sqrt{8x^{2} } /\sqrt{3x}[/tex]

[tex]\sqrt{8x^{2}/{3x}[/tex]

[tex]\sqrt{8x/3}[/tex]

Therefore, A is correct


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

increasing

Step-by-step explanation:

Which equation is true?

Answers

Answer:

9 × 8 = 8 × 9 equation is true

What is the value of 0.5–0.05? Write your answer as a fraction in lowest terms.

Answers

Answer:

Heyaaa!!! I'm Pinky!! And i'm here to inform you that you're answer is...

Step-by-step explanation:

!!!

                                                           

0.5–0.05= 0.45

0.45 In fraction form is Simply:

        9/20   (And that's on lowest terms!)

If you would want it in percentage form to that would simply be:

                                                 45%

    Have A Nice Day!!!!

 ~Pinky~

The value of 0.5–0.05 is a fraction in the lowest terms = 9/20.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written as the form of p: q, which is equivalent to p / q.

The given expression is: 0.5–0.05

Subtract 0.05 from  0.05

0 . 5 0

-0.  0 5

0 . 4 5

So, 0.5–0.05 = 0.45

Multiply and divide by 100 we get,

[tex]0.45\times \dfrac{100}{100} = \dfrac{45}{100}[/tex]

Divide both the numerator and denominator by 5 we get,

[tex]\dfrac{45}{100} = \dfrac{9}{20}[/tex]

Hence,

0.5–0.05 in the lowest fraction is 9/20.

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Help set up the equation :D the answer in the answer box is wrong

Answers

X=3.4
Y=10 if that not right then switch x=10
Y=3.4

One number is three less than another number. Their product is 40. Find the numbers.

Answers

Answer:8 and 5

Step-by-step explanation:8 times 5 is 40 and 5 is 3 less than 8

ANSWER THIS ASAP NO FILE AT ATT!! THIS MY LAST QUESTION JUST GET IT RIGHT PLEASE

Answers

Answer:

I believe the answer is A

Answer:

A is your answer I think

Step-by-step explanation:

maybe wait for someone else to answer as well haha

Match the items in a credit card statement to their descriptions.

the maximum credit available on a credit card

determines the finance charge
payable on credit purchases

the amounts debited to the credit card account

the period for which transactions are
recorded in a credit card statement

1.billing cycle
2.annual percentage rate
3.credit line
4.new purchases

Answers

the maximum credit available on a credit card
1. credit line
determines the finance charge payable on credit purchases
4. new purchases
the amounts devoted to the credit card account
2. annual percentage rate
the period for which transactions are recorded in a credit card statement
1. billing cycle

Answer:

Billing cycle: The period for which transactions are

recorded in a credit card statement

Annual Percentage Rate: Determines the finance charge

payable on credit purchases

Credit Line: The maximum credit available on a credit card

New Purchases: The amounts debited to the credit card account

Step-by-step explanation:

Took the test on Edmentum and got 5/5

Help me please? I’ll mark brainliest.

Answers

Answer:

A = 6 units

Step-by-step explanation:

6 - 2 = 4

the y-intercept stays the same

the x-intercept changes

Evaluate F(x)=4x+5 when x=4
f(4)=

Answers

Answer:

F(4) = 21

Step-by-step explanation:

[tex]F(4)=4(4)+5\\F(4)=16+5\\F(4)=21[/tex]

Answer:

21

Step-by-step explanation:

F(X) = 4x + 5

One is asked to find (F(4)), substitute (4) in place of (x) and solve,

F(4) = 4(4) + 5

= 16 + 5

= 21

PLS HELPPPPPP OMG PLSSSSSSSSSSSSSS LOOK AT PHOTO PLSSSS HELPPP

Answers

Answer: B

Step-by-step explanation: The line crosses the Y axis at 3

Name: Carl Seelig, single, 3 exemptions

Commission: 37.5%
Total Sales: $635.00

Wage for Week: $
FICA Tax (7.05%): $
Federal Tax (from Table): $
State Income Tax (at 1.5%): $
City Income Tax (3.2%): $
Total Tax: $
Paycheck after Taxes: $

Answers

Wage for Week: $  238.13

FICA Tax (7.05%): $  16.79

Federal Tax (from Table): $  35.20

State Income Tax (at 1.5%): $  3.57

City Income Tax (3.2%): $  7.62

Total Tax:   $  63.18

Paycheck after Taxes: $  174.95

X-y=6, x+y=8, zx+zy=20

Answers

Answer:

Step-by-step explanation:

x = 6 + y

6 + y + y = 8

y = 1

x - 1 =6

x = 7

zx + zy = z(x + y) = 20

z = 2.5

Answer:

X = 7

Y = 1

Z = 2/5

Step-by-step explanation:

7-1 = 6

7+1 = 8

2/5 × 7 + 2/5 = 20

What is the value of f(-10) if f(x) = 4x - 12?​

Answers

F(-10) means the x value in the equation is -10.

Replace x with -10 and solve:

4(-10) -12 = -40 - 12 = -52

F(-10) = -52

Answer: -52

How to: Use the given functions to set up and simplify f ( − 10 ) .

Have a great day and stay safe ! sorry if im wrong

4/5+ 2/3 =? pls help i'm.in 5th grade

Answers

Answer:

2/15

Step-by-step explanation:

What’s it the correct answer? I will mark as brainlest

Answers

Answer:

Step-by-step explanation:

(216/4)-20+3(5)

(54)-20+15

34+15 = 49

option 1

Answer:

49

Step-by-step explanation:

(6³ / 4) - 4 * 5 + 3(7 - 2)

= (216 / 4) - 20 + 3 * 5

= (216 / 4) - 20 + 15

= 54 - 20 + 15

= 34 + 15

= 49

Hope it helps

Which numbers are equal to 24
8 divided by 1/3
6 divided by 1/8
9 divided by 1/4
4 divided by 1/6
12 divided by 1/2

Answers

Answer:

The first one

Step-by-step explanation:

I did this and got it right and I solved it

8×3 equal 24/1 so make it to a whole number 24

8 divided by 1/3 = 24
4 divided by 1/6= 24
12 divided by 1/2= 24
All of these :)

Which variable will you choose to eliminate? How?
8x + 3y = -7
7x + 2y = -3?

I need to show the work Can someone please help?
Thank you

Answers

Answer:

Variable elimination 8x+3y=-7 3y=-8x-7 y=-8/3x-7/3 Now plug it into y 7x-16/3x-14/3=-3 5/3x-14/3=-3 5/3x=5/3 x=1

A billboard is 5.0 m by 2.5 m. A scale diagram of the billboard is 0.25 m by
0.125 m.
a.
1:
Calculate the scale.
b. Calculate the scale factor (k).
c.
Is this a reduction or enlargement? Justify your thinking.
Pls help

Answers

Answer:

A the answer is a because i was just working on that rn

Step-by-step explanation:

I nEd the answer pls

Answers

Answer:

C

Step-by-step explanation:

[tex]SA = 2(lw) + 2(lh) + 2(wh)[/tex]

Principal, $3000; Annual interest rate, 5.4%; time, 5 years

Answers

Answer:

SI = $810

Amount = $3,810

Step-by-step explanation:

Given that ,

P = $ 3,000 R = 5.4% T = 5 yrs .

We can use the formula of SI to find the interest as ,

=> SI = P × R × T / 100

=> SI = $ 3000 × 5.4 × 5 / 100

=> SI = $ 30 × 5.4 × 5

=> SI = $ 810 .

If you want to know total amount , then ,

=> Amount = SI + P

=> Amount = $ 810 + $ 3,000

=> Amount = $ 3,810

Hence the Amount is $3,810 and the SI is $810 .

Answer:

Step-by-step explanation:

3000*(.054)(5)= $810

why is solar power a renewable energy source​

Answers

Answer:

Solar energy is a renewable resource, meaning it won't ever run out or be in short supply. ... Solar energy reaches us via the sun's rays, while fossil fuels come from ancient carbon-rich remains on earth. So, as long as the sun is shining, solar energy will be around.

Step-by-step explanation:

It is a source of energy that won't run out with regular use. Popular sources of renewable energy include solar, wind and hydroelectric (or tidal).
Explanation:
A renewable energy source is simply one that won't run out. This means that you can consistently use it to produce energy and unlike fossil fuels, it won't use up supplies. For this reason, renewable energy often comes from cycles (like that of the tides) or from a constant in the environment. An example of a non-renewable energy source is fossil fuels. We will one day (in the not so far future) run out of fossil fuels as they take millions of years to produce, and we use so much of them up.
Renewable energy sources are getting more and more in demand as we run out of fossil fuels and realise their effect on the atmosphere. Here are a few well known examples.
Solar energy - this is where the energy from the sun is harnessed to produce electricity, or directly heat houses. By creating a panel with a large surface area and heat absorbent surface, it can absorb a large amount of the suns thermal and light energy to either heat up water in pipes (which will then heat houses), or to create electricity by "exciting" electrons (small particles which play a large part in transporting energy) in silicon using the sun's rays (or photons). However, solar energy can be a little unreliable as it requires clear skies and sunlight.
Wind - you may have seen large wind turbines along coastlines. This is because coasts receive a lot of wind, which can provide a force strong enough to turn a large turbine - then connected to a generator allowing us to harness the energy of the wind and turn it into electricity. Again, due to it relying on the weather, this is not a method that will 100% produce energy all the time.
Tidal - this is perhaps one of the most reliable methods, as we can rely on the tide coming in and out each day. It works by building a large dam across an water body affected by the tide. In order for the water to move in the direction it wants to, it has to push it's way through a turbine. The turbine is moved by the water and in turn drives a generator.
This is similar to hydroelectric, where instead of the tide, the energy of water flowing downhill is used to turn the turbine.
I hope this helped, let me know if you need any more information or something explained a bit better:)

Please see attachment

Answers

Answer:

Relation 1: Not a function

Relation 2: Not a function

Relation 3: Function

Relation 4: Not a function

Step-by-step explanation:

Recall: a relation can only be a function if and only if each domain value has only 1 range value mapped to it or related to it. This means that a domain value can only have exactly one range value for the relation to be qualified a function.

✔️Relation 1 is NOT A FUNCTION.

Rationale: Two of the domain values (star and sky) is having more than 1 range value assigned to each.

✔️Relation 2 is NOT A FUNCTION:

Rationale: domain value, 9, has several range values assigned to it.

✔️Relation 3 is A FUNCTION:

Rationale: each domain value do not have more than one range values assigned to it.

✔️Relation 4 IS NOT A FUNCTION:

Rationale: the domain value, 6, has two range values, m and d, assigned to it.

Suppose that the store manager of a small rural pharmacy is doing a linear regression of daily sales of over-the-counter (OTC) decongestant nasal sprays on forecasted pigweed pollen count. He would like to determine if he can use a straight ine equation to predict OTC decongestant nasal spray sales from the allergy forecast for pigweed pollen. The store manager records the data for five random days. The pollen forecast is for pigweed only and is given in parts per square meter (ppm )2
Pollen forecast OTC decongestant sales (dollars)
14 $101
19 $89
13 $48
6 $21
9 $47
The store manager calculates the regression equation for the data as 5.514x-6.073.
Determine the standard error of the slope of the regression line, SEb, for the data. Give your answer precise to at least three decimal places SE=______.

Answers

Answer:

3.83

Step-by-step explanation:

Mean of x = Σx / n

Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2

Sum of square (SS) :

(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8

Mean of y = Σy / n

Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2

Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8

df = n - 2 = 5 - 2 = 3

Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6

√(Σ(y - ybar)² / df) = √1449.6 = 38.074

Standard Error = √(Σ(y - ybar)² / df) / √SS

Standard Error = 38.074 / √98.8

Standard Error = 3.83

Single Factor ANOVA is a method we use when we want to compare a quantitative variable among more than two categories.

a. True
b. False

Answers

Answer:

The given statement is "True".

Step-by-step explanation:

A statistical analytical technique that divides the perceived aggregate unpredictability present throughout an information source even further into 2 components.

Systemic components Random components

If relevant information yet another category independent variable, as well as another quantifiable variable of interest, has been obtained, are using a single-way ANOVA.

Thus the above is the true answer.

please help me i don’t have much long on this test

Answers

Answer:

C. 248 square meters

Step-by-step explanation:

2(10 x 6) + 2(10 x 4) + 2(6 x 4)

= 120 + 80 + 48

= 248 [tex]m^2[/tex]

Answer:

c. 248

Step-by-step explanation:

2(6×4 + 10×4 +10×6) = 248

Write in standard form: 30,000.000 + 40,000 + 6,000 + 20 + 2

Answers

Answer:

[tex]3.0046022*10^{7} \\[/tex]

Step-by-step explanation:

30,046,022 = [tex]3.0046022*10^{7} \\[/tex]

In this activity, you will analyze a data set and answer some questions about the data. Warren works as a salesman at a used-car dealership. He maintains a log to track the number of vehicles he sells each day. Warren is paid a commission for each car he sells. He needs to know how many cars he sold last month so he can calculate his commission. The table shows the data he has recorded in the log book for the month.
please help

Answers

This answer will be 17

Answer: the answer is 17..hope this helps yall :D

Step-by-step explanation:

use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary. 25+5+1+… formula for a converging infinite series. a1 is the first term and r is the common ratio. 

Answers

Answer:

5x+12=-14=180

Step-by-step explanation:

sdvasdfasdfasdfawsdfasd

Answer:

the answer would be 31.25

Step-by-step explanation:

a1=25

r=.2

25/1-.2=31.25

6. One week, Sam wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Sam's bank accountant that week?​

Answers

Answer: - $6.75

Step-by-step explanation:

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