The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 12 gallons. The probability that someone consumed more than 33 gallons of bottled water is?

Answers

Answer 1

Answer:

0.4867

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 32.6 ; Standard deviation = 12

For :

P(x > 33)

Z = (33 - 32.6) / 12

Z = 0.4 / 12

Z = 0.0333

Hence, using the Z distribution table :

P(Z > 0.0333) = 1 - P(Z < 0.333)

P(Z > 0.0333) = 1 - 0.51328

P(Z > 0.0333) = 0.48672


Related Questions

what is the measure of

Answers

Answer:

88 degrees

Step-by-step explanation:

Since x and z have the same angel their degrees is the same

The answer is: 88 degrees

algebra 2 question need help.​

Answers

Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

===========================================

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.

The reason why we replace every x with -x is because of the examples mentioned below

-----------

Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.

14. Which makes the number sentence true?
12 - 3= 7+_

Answers

The answer is 2 in order to make the sentence true

Kendra started making jewelry to sell. She spent $12 for supplies to make four bracelets. She will sell the
bracelets for $5 each. If each bracelet takes two hours to make, how much money will Kendra earn per
hour?

Answers

Answer:

$1

Step-by-step explanation:

4 x 5 = 20

20 - 12 = 8

4 x 2 = 8

8/8=1

Do you think credit card banks want customers to pay off their balances?

Answers

Answer:

No.

Step-by-step explanation:

No of course not . Credit cards make more money when you pay the bare minimum each month because the remaining balance gets carried over and then they charge interest in it again .

ILL GIVE BRAINLIEST
ILL GIVE BRAINLIEST!

Jeremy has a scone that is in the shape of an equilateral triangle How many different ways can he cut it so that he has two pieces that are mirror
images of each other?

Α. 0
B. 1
C. 2
D. 3

Answers

Answer:  He can cut it in 3 different ways since all three sides of an equilateral triangle are the same length.

Hope this helped!

Please give brainliest!

Helppp find the value of y lamooooo

Answers

Answer:

4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)

so, solving that eq,

4x-2x = 9+13 (grouping variables and constants)

2x=22

x=11

also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)

so, solving for x in 2x+9,

2(11)+9 = 22+9 = 31°

now, 31 + 3y+2 =  180

3y = 180 - 33

y = 147/3 = 49

(hoping you understood the calculations :)

One of the major objectives of the 'Reduce, Reuse, Recycle campaign is to reduce the consumption of plastics. In
addition to reducing their volume in landfills and as a source of marine pollution, what is another major advantage
reduced manufacturing of plastics?
A)
reducing the use of petroleum
reducing the consumption of water
C)
generating more demand for glass containers
D)
more income for producers of reusable containers

Answers

the answer is the letter A

The answer is A I think

A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.

Answers

Answer:

The area of the kite is 27.6 cm²

Step-by-step explanation:

Given;

dimension of the equilateral triangle, = 6 cm

dimension of the isosceles triangle = 5 cm

Please check the image uploaded for a detailed solution.

1) Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8-hour shift. Amount of Tip ($) Number 0 up to 20 200 20 up to 50 100 50 up to 100 75 100 up to 200 75 200 or more 50 a) What is the probability of a tip of $200 or more? b) What is the probability of a tip of up to $50?

Answers

Answer:

a) 0.1 = 10% probability of a tip of $200 or more.

b) 0.4 = 40% probability of a tip of up to $50.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Distribution:

Total of 500 checks.

200 with tips in the interval of 0-20.

100 with tips in the interval of 20-50.

75 with tips in the interval of 50-100.

75 with tips in the interval of 100-200.

50 with tips of 200 or more.

a) What is the probability of a tip of $200 or more?

50 out of 500. So

[tex]p = \frac{50}{500} = 0.1[/tex]

0.1 = 10% probability of a tip of $200 or more.

b) What is the probability of a tip of up to $50?

200 out of 500. So

[tex]p = \frac{200}{500} = 0.4[/tex]

0.4 = 40% probability of a tip of up to $50.

The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?
$59.00
$63.00
O $65.00
O $76.00

Answers

Answer:

Step-by-step explanation:

57 divided by 6 = 7.5

9.5  x  8 = $76

Answer:

D.$76.00

Step-by-step explanation:

The author received a total of $195,000 for the book sales. How many hardcover books were sold? Type in numbers only.

Answers

Answer:

Total 390 hardcover books were sold

Step-by-step explanation:

Complete question

The author received a total of $195,000 for the book sales. How many hardcover books were sold if the cost of one hardcover book is  $500. Type in numbers only.

Solution

Given-

Total value of sale of hard cover = $195,000

Cost of one hardcover book = $500

Number of books sold = Total value of sale of hard cover/Cost of one hardcover book

Number of books sold =   $195,000/$500

Number of books sold = 390

Total 390 hardcover books were sold.

11. A grocery store sells almonds for $2.30 per pound, tax included. A shopper buys 1.8 pounds of almonds from the store. She uses a coupon to save 10% off the total cost of the almonds. Rounded to the nearest cent, how much does the shopper pay for the almonds? O A $0.41 O B.$3.73 O c.$3.91 O D.$4.55​

Answers

Answer A) 0.41
Explanation: I took the test

Heston Wagons reported in June that 20 out of 500 wagons failed inspection. In July, they reported that 25 out of 625 wagons failed inspection. Which proportion can be used to represent the wagon failures? StartFraction 25 over 20 EndFraction = StartFraction 500 over 625 EndFraction StartFraction 20 over 25 EndFraction = StartFraction 625 over 500 EndFraction StartFraction 20 over 500 EndFraction = StartFraction 625 over 25 EndFraction StartFraction 20 over 500 EndFraction = StartFraction 25 over 625 EndFraction

Answers

Answer:

20/500 and 25/625

Step-by-step explanation:

1. 20 of 500 failed, which is 20/500

2. 25 of 625 failed, which is 25/625

Answer:

its d

Step-by-step explanation:

i did the test

Which matrix equation represents the system of equations?
[4x - 2y = -7
3y = 5

Answers

The fourth one is the correct answer.

0 must come before 3 in the matrix, so that x will be multiplied with 0.

Therefore, the matrix equation represents the system of equations

4x - 2y = -7

0x + 3y = 5 is given by

[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].

How to write a system of linear equations in matrix form?

Three easy steps must be taken in order to express any system of linear equations in matrix form:

1. First, create a single matrix with all the coefficients. An acronym for this is a coefficient matrix.

2. Multiply this matrix by the system setup variables in a different matrix. The variable matrix is another name for this.

3. In another matrix, place the solutions on the other side of the equal sign. The answer matrix is another name for this.

How to solve this problem?

Given system of linear equations:

4x - 2y = -7

0x + 3y = 5

The coefficient matrix is [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right][/tex].

The variable matrix is [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex].

[ Since [tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}4x-2y\\0x+3y\end{array}\right][/tex] ]

The answer matrix is [tex]\left[\begin{array}{ccc}-7\\5\end{array}\right][/tex].

Therefore, the matrix equation represents the system of equations

4x - 2y = -7

0x + 3y = 5 is given by

[tex]\left[\begin{array}{ccc}4&-2\\0&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-7\\5\end{array}\right][/tex]. So, the last option is correct.

Learn more about matrix here -

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2(3x – _) = 6x + 8 Using the distributive property, what would go in the blank in order for the given statement to be correct? ​

Answers

Answer:

2(3x - (-4)) = 6x + 8

Step-by-step explanation:

2(3x - A) = 6x + 8

6x - 2A = 6x + 8

Equating constant terms on both sides :

-2A = 8

A = -4

Therefore, 2(3x - (-4)) = 6x + 8

Answer:

Step-by-step explanation:

2(3x-(-4))=6x+8

2*3x=6x

2*-(-4)=8

Negative times negative makes positive 4

A shopkeeper sold 8 toys on the first day. The number tripled every
subsequent day. Find the total number of toys sold in six days.

Answers

Answer:

2912

Step-by-step explanation:

the answer is 2912 toys.....

Hello can someone answer this question please

Answers

1/4 = 0.25 is the largest value..

It is right answer....

NEED HELP ON THIS ASAP!!

Answers

Answer :

The answer is A.

Answer:

A) 140

Step-by-step explanation:

since angle RA is 40

and angle one seems the same so

<1+<2=140

40+<2=180

-40 -40

<2=140

what is the maximum height (h) of the function h=-16t^2+20t+6
plz plz show ur work

Answers

Answer: hi there is think that I can help you with your problem!

h = -16t^ 2 + 20t + 6     ....the ball will hit the ground when h  = 0

0 = -16t^2  + 20t   + 6      factor

0  = ( -8t  -  2 )  ( 2t  - 3)     set each  factor to 0

-8t  -  2  =  0                                 and                  2t  - 3   = 0

-8t   = 2                                                                 2t   =   3

t  = -2/8  = - 1/4  sec   [reject]                                t  = 3/2 sec  = 1.5 sec

Max ht  will be reached at [ -b / 2a ]    sec    =  -20 / [ 2(-16)]  =  20/32  =  5/8 sec

Step-by-step explanation:  

-16t^2+20t+6 = 0

will give you the times that the ball is on the ground. The negative root accounts for the fact that the ball is 6 feet above ground at t=0.

I get t=3/2 and t=-1/4

-2(2t -3) (4t +1) = 0

2t -3 = 0

2t-3 + 3 = 0 + 3

2t = 3

t = 3/2 second        

I hope that I helped you and have a nice day.

I need to know the answer for this so please help

Answers

Answer:

(2,-1) _______________

If there are 82 students and they read 1000 books what is the average number of books the students read round it to the nearest whole number

Answers

Answer:

12 books read per student

Step-by-step explanation:

1000 divided by 82 is close to 12

Answer:

12 books

Step-by-step explanation:

Since there are 82 students who in total read 1000 books, we need to find how many books each student read. To do that; Divide the number of books read by the number of students who read those books. Then round your answer to the nearest whole number as an estimate. In otherwords, in "tenths place".

Step 1: Divide 1000 by 82

[tex]1000\div 82\\\\= \frac{1000}{82} \\\\= 12.1951219512[/tex]

Now to round up. To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up. Since the digit after our result is less than 5, we do nothing.

Step 2: Round [tex]12.1951219512[/tex] in the nearest whole number

[tex]12.1951219512 \\= 12[/tex]

Therefore, the average number of books the student read rounded to the nearest whole number is 12 books.

While making desserts for a bake sale, Nolan used 2 scoops of brown sugar as well as 1/2 of a scoop of white sugar. How much more brown sugar did Nolan use?

Answers

Answer:

1 ½ scoops more then white sugar

If f(x)=5^x+2x and g(x)=3x-6

find (f+g)(x)

Answers

Answer:

(f+g)(x) =  5^x+5x-6

Step-by-step explanation:

f(x)=5^x+2x

g(x)=3x-6

(f+g)(x) =  5^x+2x+3x-6

Combine like terms

(f+g)(x) =  5^x+5x-6


Solve
3w - 4z = 8
2w + 3z = -6

A) w = -2
z = -2

B) w = -2
z = 0

C) w = 0
z = 2

D) w = 0
z = -2​

Answers

Answer:

D

Step-by-step explanation:

Multiplying the first equation by 2 yields 6w - 8z = 16.

Multiplying the second equation by 3 yields 6w + 9z = -18.

Subtracting the two equations gives -17z = 34, and thus z = -2.

Substituting this back into the first equation gives that 3w+8=8, and thus w=0.

? divided by 1/3 = 6/7 what is the fraction that makes this true

Answers

2/7. multiply 1/3 by 6/7 and you’ll get the answer which is 2/7.

The answer would be 2/7 if 2/7 is divided by 1/3 = 6/7 after applying the concept of basic arithmetic operation.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

divided by 1/3 = 6/7

Let the missing number is:

x divided by 1/3 = 6/7

x = (6/7)(1/3)

x = 2/7

Thus, the answer would be 2/7 if 2/7 is divided by 1/3 = 6/7 after applying the concept of basic arithmetic operation.

Learn more about the fraction here:

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What is the area of the triangle?

Answers

Answer:

c

Step-by-step explanation:

y= 2x + 7 y= -4x - 5 What is the solution for the system of equations?

Answers

Answer:

x = -2, y = 3.

as an ordered pair it is (-2, 3).

Step-by-step explanation:

y= 2x + 7

y= -4x - 5

As both right hand expression are = y we have:

2x + 7 = -4x - 5

6x = -12

x = -2

Substitute for x in equation 1:

y = 2(-2) + 7 = 3.

X=-2 and Y=3
Hope this helps:)

Quintin read a report claiming that 4% of police officers in the US have had a formal complaint filed
against them. Quintin suspects that this figure is higher in his state. He obtains a random sample of records
for 500 officers from the approximately 20,000 officers in his state. He wants to use these data to test
H : p=0.04 versus H:p > 0.04, where p is the proportion of officers in Quintin's state who have
had a formal complaint filed against them.
Which conditions for performing this type of significance test have been met?

Answers

Answer:

A, B, C

Step-by-step explanation:

Got it right on khan academy

Rewrite the expression in the form

Answers

In Exponential form 2(X x 4x^-5/2)^1/2
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