Suppose the average automobile insurance claim for the population is $4,560 with standard deviation of $600. What is the percentage of probability that a sample of 100 claim files will yield an average claim of $4,500 or less?

Answers

Answer 1

Answer:

0.15866

Step-by-step explanation:

Given that :

Population mean = μ = 4560

Standard deviation, σ = 600

Sample size, n = 100

Using the relation :

(x - μ) ÷ σ/sqrt(n)

P(x ≤ 4500) :

(4500 - 4560) ÷ 600/sqrt(100)

P(x ≤ 4500) = -60 / (600/10)

P(x ≤ 4500) = - 60 / 60

P(x ≤ 4500) = - 1

P(Z ≤ - 1) :

Using the Z probability calculator ;

P(Z ≤ - 1) = 0.15866

Hence, P(x ≤ 4500) = 0.15866


Related Questions

Select all points that are on the graph of the line

Answers

Answer:

0,3

Step-by-step explanation:

Well 0,3 is the only one that is on here... I apologize if I am wrong!

Select all expressions that are equivalent to 5x + (x+6) +3x.

Answers

Answer:

9x + 6 and 6x + 6 + 3x

Step-by-step explanation:

Right triangle ABC is shown below.

A similar right triangle would be created by a run of 4 and a rise of _

Answers

I believe the rise will be 12.

Answer:

12

Step-by-step explanation:

edge :)

If the diameter of a frisbee is 10 inches, how much is its circumference?

Answers

Answer:

the circumference is 31.4

Step-by-step explanation:

The computation of the circumference is shown below:

As we know that

Circumference is

= 2πr

= 2π (10 ÷ 2)

= 2× 3.14 × 5

= 31.4

Hence, the circumference is 31.4

Pleaseeeeeeeeeee help.
Remy stands on a dock at the edge of a lake represented by point C. Points A and B represent two buoys anchored in the lake. Remy plans to swim from C to A, then to B, and then back to C. The shortest distance from Remy to the swim route AB¯¯¯¯¯¯¯¯ is 60 meters and is measured from C to D.

Answers

Answer:

The total distance Remy will swim is approximately 236 meters

Step-by-step explanation:

From the given diagram, of triangle ΔCAB, we have that the path Remy is to swim are;

1) Length of segment C to A

2) Length of segment A to B

3) Length of segment B to C

The length of the perpendicular at point D on segment AB to C = 60 meters

Therefore, DC = 60 m

By trigonometric ratios, we have;

[tex]tan (\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]

[tex]cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]

We are given the values of the trigonometric ratios of the following angles;

tan(27°) = 0.51

tan(43°) = 0.93

cos(27°) = 0.89

cos(43°) = 0.73

∴ tan(43°) = AD/DC = 0.93

Where the lengths of AC, AD, DB, DC and BC

AD = DC × tan(43°)

∴ AD = 60 × 0.93 ≈ 55.8

Similarly, we have;

tan(27°) = DB/DC

∴ DB = DC × tan(27°)

DB = 60 × 0.51 ≈ 30.6

From [tex]cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex], we have;

cos(43°) = DC/AC

AC = DC/(cos(43°))

∴ AC = 60/0.73 ≈ 82.2

Similarly, we have;

cos(27°) = DC/BC

BC = DC/(cos(27°))

∴ BC = 60/0.89 ≈ 67.4

The total distance Remy will swim = AC + AD + DB + BC

∴ The total distance Remy will swim = 82.2 + 55.8 + 30.6 + 67.4 = 236

The total distance Remy will swim = 236 meters

what is the area?
diameter of circle is 7 m

Answers

Answer:

the area is 52.49

Step-by-step explanation:

triangle

radius is 3.5

3.5x19=66.5÷2=33.25

hemisphere

π3.5squared=38.48

38.48÷2=19.24

33.25+19.24= 52.49

Can someone plz help me

Answers

Answer:

your answer is right ok my friend

18 24 11 What is the area of the triangle shown? A.99 square units
В. 132 square units
C. 198 square units
D.264 square units​

Answers

Answer: I think B

Step-by-step explanation:

3(x+6)2=75 show steps

Answers

Answer:

6.5

Step-by-step explanation:

3(x+6)2=75 | Given

6x + 36 = 75 | Distribute

6x = 39 | Subtract 36 from both sides

x = 6.5

which box and whiskor plot represents this data

Answers

hey there what is the data? please upload a picture of the plots as well so i can help!

Answer:

Yes please upload the pic

Step-by-step explanation:

:)

Find the missing length of the triangle

Answers

Answer:

c²=(9.6)² + (7.2)² Thereom of pythagoras

c²=92,16+51,84

c = (square root) 144

c= 12

What is 5/8 divided by 15 equal

Answers

Answer:

0.04166666666 i think

Step-by-step explanation:

help please i’ll give points !!

Answers

Answer: C :)

Step-by-step explanation:

It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.

e
Use the diagram to find the indicated angle measures.
m21 =
degrees
1120
1
2
d
m22=
degrees
3
49°
m23=
degrees
Help!!!!!

Answers

1 = 131 degrees
2= 49 degrees
3= 112 degrees
If you need further explanation, I can elaborate.

Hope it helps!

Step-by-step explanation:

m<2=49° (vertically opposite angles are equal)

m3=112° (vertically opposite angles are equal)

m1= 112°+ m1 =180 (the sum of interior angles measure 180°)

hence, m1 = 180 - 112°

m1= 68°

hope i helped u!

If a baseball team's ratio of wins to losses is 3 to 4, what is the ratio of wins to games played? (There are no ties). 4 to 7 3 to 7 4 to 3 3 to 4

Answers

Answer:

3 to 7

Step-by-step explanation:

Answer:

3:7

Step-by-step explanation:

If there were no ties, then 3:7 would be your answer.

Camille buys a cake for $\$24.99$ . She also buys $12$ brownies. Each brownie costs the same amount. She spends $\$39.99$ on the cake and the brownies. Camille finds the cost of each brownie by calculating $(39.99\ -\ 24.99)\ \div\ 12$ . Tanya finds the cost of each brownie by solving the equation $39.99\ +\ 12b\ =\ 24.99$ , where $b$ is the cost of each brownie. Which approach uses the sequence of operations necessary to find the cost of each brownie: Camille’s, Tanya’s, both, or neither? Explain why. Respond in the space provided.

Answers

The cost of each brownie is $1.25

Equation and expressions

Let the cost of each brownies be x

If she buys 12 brownies and each brownie costs the same amount, the cost of 12 brownies will be 12x

To find the value of x;

39.99 = 24.99 + 12x

12x =  15

x = 15/12

x = $1.25

Hence the cost of each brownie is $1.25

Learn more on equation here: https://brainly.com/question/2972832

Pls help question is in the picture

Answers

Answer:

[tex]135 + 4x + 5x = 180 \\ 9x = 180 - 135 \\ 9x = 45 \\ x = \frac{45}{9} \\ x = 5[/tex]

Angle A will be

[tex]5 \times 5 = 25[/tex]

=25°

PLSSS HELPPP REWARD BRAINLIEST AND STARSSS

Answers

Answer:

It will take 3.5s

Step-by-step explanation:

After checking that conditions are met, you perform a significance test of 0:=1 versus :≠1 . You obtain a -value of 0.022.
Which of the following must be true?

A 95% confidence interval for will include the value 0.022.

A 99% confidence interval for will include the value 1.

None of these is necessarily true.

A 99% confidence interval for will include the value 0.022.

A 95% confidence interval for will include the value 1.

Answers

Answer:

A

Step-by-step explanation:

The true statement is

A 99% confidence interval for will include the value 1.

What is Confidence Interval?

The range of values that we observe in our sample and for which we anticipate finding the value that accurately reflects the population is referred to as a confidence interval.

Given:

[tex]H_0: \mu = 1\\H_\alpha : \mu \neq 1[/tex]

P= 0.022

If the P- value is smaller than significance level, then the null hypothesis is rejected.

P< 0.05 - 5% Reject [tex]H_0[/tex]

P> 0.01 = 1% Fail to Reject [tex]H_0[/tex]

A 95% Confidence interval correspond with a significance test at the 5%

significance level.

A 99% Confidence interval correspond with a significance test at the 1%

significance level.

If the Significance test was Significant then the interval does not contain the value mentioned in the Hypothesis.

95% CI does not contains 1.

99% CI contains 1.

Learn more about Confidence Interval here:

https://brainly.com/question/24131141

#SPJ2

I need help finding the answer to this question

Answers

Answer:

a) at 70m, 26°. At the surface, 30°

b)40m

c)Yes, The deeper in the ocean you go, the cooler it becomes

2. Gerald wants to buy a gel pen that costs
95€. He has two quarters, a dime, and a
penny. How much more money does he
need?

Answers

Answer:

He needs 34 cents more

how do you solve 2.25y+6=13.5y+15?​

Answers

the answer is what the other guy has answered

Answer:

The answer is y= negative 0.8

if you click the image it will show you how to solve the equation. I hope this helps you.

help plsssss!!!! i dont get it

Answers

Answer:

sin2θ = [tex]\frac{1320}{3721}[/tex]

Step-by-step explanation:

Given

sinθ = [tex]\frac{11}{61}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

This is a right triangle with legs 11 and x ( adjacent ) and hypotenuse 61

Using Pythagoras' identity in the right triangle to find x

x² + 11² = 61²

x² + 121 = 3721 ( subtract 121 from both sides )

x² = 3600 ( take the square root of both sides )

x = [tex]\sqrt{3600}[/tex] = 60

Then cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{60}{61}[/tex]

Using the identity

sin2θ = 2sinθcosθ , then

sin2θ = 2 × [tex]\frac{11}{61}[/tex] × [tex]\frac{60}{61}[/tex] = [tex]\frac{1320}{3721}[/tex]

Billy walks 1/2 of a mile in 1/3 of an hour.





What is Billy's walking speed?

Answers

1 1/2 miles per hour is Billy’s walking speed.

Can someone plz help meee!!!!!!

Answers

Answer:

14,18,20

Step-by-step explanation:

Substitute the s in the equation with the value given in the chart for s. So it would be 4 + 12 = 16.

Please help asap!!! Mathematics

Answers

1. 1 anything raised to 0 is 1 ,2. 10 evaluate ,3.111evaluate hope this helps you
Your answer the #3 is 111

help me please ? i need help with this table

Answers

Answer:

The last option

Step-by-step explanation:

You can find the slope by using this equation : y2-y1/x2-x1. We can choose any two y coordinates and any two x coordinates to find this. For instance, you can write this as -3-(-2.25)/0-(-1). Now, we can solve.

-3-(-2.25)/0-(-1)

-3+2.25/0+1

-0.75/1

-0.75

-0.75 in fraction form is -3/4.

I'm not quite sure how to calculate the y-intercept, but we know the slope, and that's all we need for this problem (the slope number is next to the x). This makes our answer the last option. Hope this helps!

9x + 4 = 5x - 6
help out

Answers

Answer:

X = -5/2

Step-by-step explanation:

x = -5/2

Step-by-step explanation:

[tex]9x + 4 = 5x - 6[/tex]

Collect like terms and simplify

[tex]9x - 5x = - 6 - 4 \\ 4x = - 10[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{ - 10}{4} [/tex]

Simplify

[tex]x = - \frac{5}{2} [/tex]

Determine the missing measure in the triangle with the given angle measures.
5x° 90°, 16.5

Answers

Answer:

14.7, because 5x + 90 + 16.5 =180

so 180-90-16.5=5x

x= 14.7

what is 1.7 divided by 0.428​

Answers

3.97196261682 hope this helps!
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