A study by Great Southern Home Insurance revealed that none of the stolen goods were recovered by the homeowners in 80 percent of reported thefts: [ 6 marks] a. During a period in which 200 thefts occurred, what is the probability that no stolen goods were recovered in 170 or more of the robberies? b. During a period in which 299 thefts occurred, what is the probability that no stolen goods were recovered in 150 or more robberies?

Answers

Answer 1

Solution :

Given :

n = 200, p = 80% = 0.8, q = 1 - p = 0.2

[tex]$\mu = np$[/tex]

  [tex]$= 200 \times 0.8 = 160$[/tex]

[tex]$\sigma= \sqrt{npq}$[/tex]

[tex]$\sigma= \sqrt{200 \times 0.8 \times 0.2}$[/tex]

   = 5.6569

a). x = 169.5

∴ [tex]$z = \frac{x- \mu}{\sigma}$[/tex]

  [tex]$z = \frac{169.5- 160}{5.6569}$[/tex]

     = 1.6794

[tex]$P(x \geq 170) = P(z>1.6794) = 0.0465$[/tex]

Therefore, probability that the stolen goods were not recovered in 170 robberies or more is = 0.0465

b). x= 149.5

   [tex]$z = \frac{x- \mu}{\sigma}$[/tex]

   [tex]$z = \frac{149.5- 160}{5.6569} = -1.8561$[/tex]

[tex]$P(x \geq 150) = P(z>-1.8561) = 0.9683$[/tex]

Therefore the probability that the stolen goods were not recovered in the 150 or in more robberies is = 0.9683


Related Questions

Graph the equation on the coordinate plane.
y=1/2x

Answers

Here is how the graph would look!
Hope this helps :)

Answer:

hope this helps

Step-by-step explanation:

Solve the equation.

-0.06 m = 7.2

m =

Answers

Answer: -120

Hope this helps!!

Answer:

-120

Step-by-step explanation:

Dr. Stevens mixed 10.357 grams of chemical A, 12.062 grams of chemical B, and 7.506 grams of chemical C to make 5 doses of medicine. a. About how much medicine in grams? Estimate the amount of each by rounding to the nearest tenth of a gram before finding the sum. Show your thinking. b. Find the exact amount of medicine mixed by Dr. Stevens. c. What is the difference between the exact amount and the estimated amount of medicine? d. How many grams are in one dose of medicine? Explain your strategy for solving.

Answers

Answer:

A. 29.93 grams

B. 29.925 grams

C. 0.005 grams

D. 5.985 grams per dose

Step-by-step explanation:

Chemical A = 10.357 grams

Chemical B = 12.062 grams

Chemical C = 7.506 grams

Number of doses of drugs = 5

A. About how much medicine in grams

Round each chemical to the nearest tenth

Chemical A = 10.36 grams

Chemical B = 12.06 grams

Chemical C = 7.51 grams

Total medicine in grams = chemical A + chemical B + chemical C

= 10.36 + 12.06 + 7.51

= 29.93 grams

B. Find the exact amount of medicine mixed by Dr. Stevens.

Total medicine in grams = chemical A + chemical B + chemical C

= 10.357 + 12.062 + 7.506

= 29.925 grams

C. What is the difference between the exact amount and the estimated amount of medicine

Difference = Estimated amount - Exact amount

= 29.93 grams - 29.925 grams

= 0.005 grams

D. How many grams are in one dose of medicine?

Grams in a dose = exact amount of chemicals / 5 doses

= 29.925 grams / 5

= 5.985 grams per dose

Approximately 5.99 grams per dose

maybe a few more lol

Answers

Answer:

Thanks, check out my music please. Its Colter Wall on yt

Step-by-step explanation:

Answer:

thx for the 50 points

Quick question. Is the term “at least” < with equal sign or > with equal sign?

Answers

Answer:

if you mean that it look like this < or this > then its “less than or equal to“ or “greater than or equal to”

I hope this helped!!

OH and have a merry Christma!!!!!

Original price:$23.99;markdown 30%
A)$7.20
B)$16.79
C)$31.19
D)$15.80
Thank you!

Answers

Maybe the answer is A

Answer:

B

Step-by-step explanation:

Multiply the original price by 0.7

23.99 * 0.7 = 16.79

Please answer ASAP! A function graphed f(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box.

Answers

y = 2x + 1 or f(x) = 2x + 1

The Medina's went out to eat at Chili's. If there bill was 65.20 and they gave 1p
their server a 15% tip, how much did they leave for a tip? *

Answers

Answer:

The Medinas left $9.78 for a tip

Step-by-step explanation:

Percentages

The Medinas went out to eat at Chilli's and the bill was $65.20. They tipped 15% to their server.

This percentage is calculated over the amount of the $65.20 bill, thus the tip was:

15% of 65.20 = 15/100 * $65.20 = $9.78.

The Medinas left $9.78 for a tip

1/b+x=3b/2x^2 - 1/x
btw ^2 means square

Answers

Answer:

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Step-by-step explanation:

[tex] \frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x} [/tex]

[tex] = > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} } [/tex]

[tex] = > 2 {x}^{2} = (b + x)(3b - 2x)[/tex]

[tex] = > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2} [/tex]

[tex] = > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2} [/tex]

[tex] = > 3 {b}^{2} + bx - 4 {x}^{2} = 0[/tex]

[tex] = > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0[/tex]

[tex] = > b(3b + 4x) - x(3b + 4x) = 0[/tex]

[tex] = > (3b + 4x)(b - x) = 0[/tex]

Hence,

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

6.4 divided by 208 What is the quotient for the equation above?

Answers

Answer:

0.030769

Step-by-step explanation:

What is the quotient of 2/3 divided by 4 in simples form

Answers

Answer:

2/12 is equivalent fraction for 2/3 divided by 4

Step-by-step explanation:

2

3

&

4

2

3

÷

4= ?

step 2 Multiply 2/3 with reciprocal of 4

=2

3

x1

4

=2

12

The Quotient is 1/3.

What is Division?

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2/3 divided by 4

As, division is not possible in fraction so we will perform the multiplication

= 2/3  ÷ 4

= 2/3 x 1/4

= 2/6

= 1/3

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ5

The average number of people who attended football games at a stadium increased from 8,000 people in the year 2005 to 12,500 in the year 2012. By what percentage did the average number of people at the games increase from 2005 to 2012?

Answers

The answer is 43.75, just to reassure anyone who needs the answer to this (I took the test).

56.1% is the average number of people at the games increase from 2005 to 2012

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The average number of people who attended football games at a stadium in 2005 is 8000.

The average number of people who attended football games at a stadium in 2012 is 12500.

The difference from average number of people from 2005 to 2012

12500-8000

Twelve thousand five hundred minus eight thousand

4500

To find the percentage of increase we need to divide change in number by original number

4500/8000

0.561

Now multiply with 100 because it is a hundredth part.

0.561×100=56.1

Hence 56.1% is the average number of people at the games increase from 2005 to 2012

To learn more on Percentage click:

https://brainly.com/question/28269290

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Carmen is 5 1 ··4 years younger than Antoine. Katy is 11 1 ··2 years older than Carmen. To the nearest year, what is the difference in Antoine's age and Katy's age?

Answers

Let, age of Carmen, Antoine and Katy is C, A and K.

And it is given that :

[tex]A - C = 5\dfrac{1}{4}[/tex]                …1)

[tex]K-C = 11 \dfrac{1}{2}[/tex]              ...2)

We need to find the difference in Antoine's age and Katy's age.

Subtracting equation 2) from 1), we get :

[tex]( A - C ) - ( K-C) =5\dfrac{1}{4} - 11\dfrac{1}{2}\\\\A - K = -6\dfrac{1}{4}\\\\K-A = 6\dfrac{1}{4}[/tex]

Therefore, Katy is [tex]6\dfrac{1}{4}[/tex] years older than Antoine.

I need help it’s for math!!!

Answers

Answer:

anybody agree that its c

Step-by-step explanation:

Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?

Answers

Answer:

Mindy bought 7 pounds of candy.

Step-by-step explanation:

In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex]  pounds of candy each).

So now we can find the answer by doing the following.....

[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]

Can anyone help me with this question? Thank you!

Answers

I agree the best option is B.)

Helppppppppppppppppppp

Answers

Answer:

1/8^4

Step-by-step explanation:

when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=66°, and EF = 32 feet. Find the length of FD to the nearest tenth of a foot.

Answers

Answer:

14.3

Step-by-step explanation:

Remark

Make a rough sketch of the triangle.

Make F the right angle

Make <D = 66

E is the other angle.

Givens

EF = 32

<F = 90

<D = 66

Equation

Tan(D) = EF/FD

Solution

Tan(66) = 32/FD                  Multiply both sides by FD

FD*Tan(66) = 32            

Tan(66) = 2.246

2.246 * FD = 32                  Divide by 2.2246

FD = 32/2.246

FD = 14.25

FD = 14.3

Is 5-2y=3x a linear equation

Answers

5-2y=3x divide one both sides
5-2y/3=x
Switch the sides
X=5-2y/3
Download Cymath and they will have the answer

Answer:

Yes

Step-by-step explanation:

Which expression is equal to 6^4? 10
24
4^6
6⋅6⋅6⋅6

Answers

Answer:

6⋅6⋅6⋅6

Explanation: The  exponent refers to the number of times a number is multiplied by itself.  6^4 represents that 6 is being multiplied 4 times.

[tex]6^{4}[/tex]

Base ⇒ 6

Exponent ⇒ 4

PLEASE HELP !!!!!!!!!!!!!!! idk if this is correct or not !!!!!!! WILL MARK BRIANLIEST !!!!

Answers

Answer: It should have been correct.

Step-by-step explanation:

Owen is signing up for a gym membership with a one-time fee to join and then a
monthly fee to remain a member. The one-time fee to join the gym is $100 and the
total cost of membership, including the joining fee, would be $200 for 2 months.
Write an equation for C, in terms of t, representing the total cost of the gym
membership over t months.

Answers

The cost of the monthly fee is 50$.. if the joining fee is 100.. take 200 and subtract that fee since it is included in the total. You’re left with 100. Note, the 200 is calculated for a 2 month period, so split the remaining 100 ,from the total 200, into 2. You’re left with 50 each month.

T=(C-100)/2 (T being 1 month) (C being the total cost/200)

Hopefully

PLEASE HELP MEEEEE WILL GIVE BRAINLIST IF ANSWERED!!!!! HELPPPPP!!!!!
n + (-5.6) = 6.3

n =

Answers

Answer:

n= 11.9

Step-by-step explanation:

2568283838383u2568283838383ui3ei33i

Answer:

[tex] \underline{ \boxed{n = 11.9}}[/tex]

Step-by-step explanation:

[tex]i f \to \: n + (-5.6) = 6.3 \\ n = 6.3 + ( + 5.6) \\ n = 11.9[/tex]

♨Rage♨

Can someone please help me with these? I will give you the brainliest answer and also give extra points! I really need help :(​

Answers

Answer:

1. No solution

2. Infinite many solutions

3. One solution

4. No solution

5. No solution

6. One solution

7. No solution

8. One solution

9. Infinite many solutions

10. Infinite many solutions

Step-by-step explanation:

Someone please help me I’m really struggling
I will give brainliest

Answers

Answer:

SA ≈ 1134 cm²

General Formulas and Concepts:

Math

Pi π = 3.14...

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Radius: r = d/2Surface Area of a Sphere: SA = 4πr²

Step-by-step explanation:

Step 1: Define

d = 19 cm

Step 2: Find SA

Substitute [R]:                    r = 19 cm/2Divide:                                r = 9.5 cmSubstitute [SAS]:               SA = 4π(9.5 cm)²Exponents:                        SA = 4π(90.25 cm²)Multiply:                             SA = 361π cm²Multiply:                             SA = 1134.11 cm²Round:                               SA ≈ 1134 cm²

PLEASE I ONLY HAVE 5 MINS TO FINISH THIS!!!!!!!!!!!

Answers

50 !

hope this helps :)

The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is cut into 9 equal pieces. What is the area of each piece? What are the possible dimensions of each piece? (Take the dimensions to be whole numbers.)

Answers

Answer:

Area of each piece = 104 [tex]cm^{2}[/tex]

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

[tex]Area = Length \times Width[/tex]

Area = 26 [tex]\times[/tex] 36 [tex]cm^2[/tex]

Area of each smaller rectangle = [tex]\frac{26\times 36}{9} = 104\ cm^2[/tex]

To find the possible dimensions, we need to find the factors of 104.

104 = 26 [tex]\times[/tex] 4

104 = 13 [tex]\times[/tex]  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

An art teacher had 57 grams of blue clay. She combined it with 31 grams of yellow clay to make green clay. She let students use the green clay during the week. At the end of the week, the remaining green clay weighed 18 grams.

Answers

Step-by-step explanation:

Amount of green clay at the start = 57g + 31g = 88g.

Amouny of green clay used = 88g - 18g = 70g.

Hence 70g of green clay was used during the week.

PLEASEEEEEE HELPPPPP!

Answers

Answer:

2

Step-by-step explanation:

option 2 !! :)) , have a wonderful day

6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a system of equations and solve to find out the cost for each pound of apples and each pound of oranges.

Answers

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x  into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

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