multiply express your anwser in simplest form
​

Answer:

a) 0.11277

b) 0.83253

c) 0.67364

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

Mean = $109.55.

Standard deviation = $21.00.

a) What proportion of bills are greater than $135?

z = (x-μ)/σ

z = 135 - 109.55/21

= 1.2119

Probability value from Z-Table:

P(x<135) = 0.88723

P(x>135) = 1 - P(x<135) = 0.11277

The proportion of bills are greater than $135 = 0.11277

(b) What proportion of bills are between $84 and $143?

For x = $84

z = (x-μ)/σ

z = 84 - 109.55/21

= -1.21667

Probability value from Z-Table:

P(x = 84) = 0.11187

For x = 143

z = (x-μ)/σ

z = 143 - 109.55/21

= 1.59286

Probability value from Z-Table:

P(x = 143) = 0.9444

The proportion of bills are between $84 and $143

= P(x = $143) - P(x = 84)

= 0.9444 - 0.11187

= 0.83253

(c) What is the probability that a randomly selected household had a monthly bill less than $119?

For x = $119

=119 - 109.55/ 21

= 0.45

Probability value from Z-Table:

P(x<119) = 0.67364

The probability that a randomly selected household had a monthly bill less than $119 is 0.67364

Answer:

The answer is $5.99

Step-by-step explanation:

$23.96 divided by 4 is $5.99

Answer:

The answer is $5.99

Step-by-step explanation:

I just did the quiz.

Answer:

A) y = 3x -2 is the answer

Step-by-step explanation:

The y-intercept is -2

The slope is going up 3 and right 1 which is 3/1 and 3 divide by 1 is 3.

Hope this helps and pls do mark me brainliest:)

Answer: D 3,220 meters

Step-by-step explanation:

I did it

Answer:

The correct answer is D, please give the person above me brainliest

Step-by-step explanation:

#edge2020

Answer:

d. An account earning interest compounded daily

Step-by-step explanation:

An account earning interest compounded daily will have the greatest accumulated value at the end of one year.

Compound interest provides a higher return on value compared to simple interest even much more so when it is done daily.

Therefore, an account earning interest compounded daily will give a better return of value.

Answer: 4224 feet cubed

Step-by-step explanation:

Volume for a rectangular tank =LxWxH

22x12x16=4,224

Answer:

4224in^3

Step-by-step explanation:

The formula for volume is height x length x width ( x means multiply)

so to find the volume of the fish tank you multiply each of the sides by each other, 12x16x22. So the volume of the fishtank is 4224 inches cubed(^3) make sure you write the cubed and units at the end, just like how for area you always make it squared.

Answer:

maximum y=9 and x=0 but the minimum is infinite.

Step-by-step explanation:

Answer: The answer is Weight(car), or W(c)

Step-by-step explanation: Hope this helps!!

Answer:

THE CORRECT ANSWER IS: EFFICIENCY(weight), or E(w)

Step-by-step explanation:

Answer:

x = 31

Step-by-step explanation:

4x + 38 = 2x + 10 + 90

2x = 62

x = 31

Answer:

Step-by-step explanation:

k - 4 = 3

   9

k/9  = 3(9) + 4

k = 31/9

----------------------------

8 + b = -5

  -4

8 + b = -5 (-4)

8 +  b = 20

b = 20 - 8

b = 12

k = 31/9

b = 12  

k - 4 = 3

  9

k/9  = 3(9) + 4

k = 31/9

----------------------------

8 + b = -5

 -4

8 + b = -5 (-4)

8 +  b = 20

b = 20 - 8

b = 12

Answer:

is there more to the question

ANSWER:

Minivan

EXPLANATION:

To determine the unit rate, take the miles and divide by the gallons

Truck:

120 miles / 8 gallons = 15 miles per gallon

Minivan:

180 miles /10 gallons = 18 miles per gallon

The minivan travels more miles per gallon

ANSWER:

Adam

EXPLANATION:

To determine the unit rate, take the charge and divide by the acres

Joshua:

$40 / 2 acres = $20 per acre

Adam:

$30 / 1.2 acres = $25 per acre

Adam charges more per acre

ANSWER:

Ellen

EXPLANATION:

To determine the unit rate, take the seconds and divide by the meters.

Ellen:

28 seconds / 200 meters = .14 seconds per meter

Lindsay:

60 seconds / 400 meters = .15 seconds

Ellen runs faster than Lindsay

Answer:

lovin lemon co. sells 1 gallon for 24/4 = $6

sweet & sour co. sells 8 qt = 2 gallons for 16/2 = $8

Answer:

Not Inversely Proportional

Step-by-step explanation:

Answer:

it was right but ok

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2:   18/2

2 : 9

Answer:

4

(0,4)

Step-by-step explanation:

The y-intercept is the y-value for when the line intersects with the y-axis. Another way to put this is also the y-value when x=0. This is easy to find when you have a graph because you can simply look to see where on the graph the line intersects with the axis. If you don't have the graph then you can plug 0 in for x in the equation and solve.

Answer:

D. On the other hand.

Step-by-step explanation:

As a result, before long, and for this reason would be cause and effect. On the other hand is the only remaining option.

Answer:

390

Step-by-step explanation

the plane is equal to the car right 360 = 120 if the car slows down to 90 that means we took off 30 mph so if we add that 30 to plane that will equal to 390

Answer:

A= ₱1000 + t( ₱250) ------where t is the time in months

Step-by-step explanation:

The principal amount ,P, is given as : ₱1000----- P=₱1000 ------equation (i)

Additional amounts to be added by grandmother = ₱200 monthly

Amount expected to add monthly =  ₱50

Additional amounts in total added monthly = ₱200 + ₱50=₱250

Monthly amounts ,A, in the fund after the first month, t =1 month will be:

A=P + ₱250= ₱1000 + 1( ₱250) ------where t= 1, amount at end of month 1

A=P +₱250= ₱1000 + 2( ₱250)--------where t=2,  amount at end of month 2

A=P +₱250= ₱1000 + 3( ₱250)---------where t=3, amount at end of month 3

A=P +₱250= ₱1000 + 4( ₱250)--------where t=4, amount at end of month 4

From the breakdown above of 4 months, the general equation of monthly amounts will be;

A= ₱1000 + t( ₱250) ------where t is the time in months

A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t) and this can be determined by forming the linear equation with the help of the given data.

Given :

The following steps can be used to determine a sequence of the monthly amounts in your college book fund:

Step 1 - Given that the principal amount is ₱1000 which is given by the grandmother.

Step 2 - Additional amount is given by grandmother is ₱200 and each month ₱50 is added. So, the total additional amount each month is:

= 200 + 50

= ₱250

Step 3 - Let 't' be the number of months. So, the linear equation becomes:

A = 1000 + 250(t)

where A is the total amount and t is the time in months.

A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t)

For more information, refer to the link given below:

https://brainly.com/question/21835898

Answer:

1/7^32

Step-by-step explanation:

when multiplying two bases with different exponents, you keep the base and add the exponents, making the first step of this (7^5)(7^3)=7^8

but when you multiply a base and exponent by just an exponent, you keep the base and multiply the exponents, making the second step 7^8(^-4)=7^-32

you cannot have a negative exponent, and would therefore turn it into a fraction with the base and exponent at the bottom, making your final answer 1/7^32

Answer:

[tex]d=9.21954[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(-1-5)^2+(9-2)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(7)^2}[/tex]

[tex]d=\sqrt{36+49}[/tex]

[tex]d=\sqrt{85}[/tex]

[tex]d=9.21954[/tex]

Answer:

$80 for 9 hours

Step-by-step explanation:

whichever instructor it is that does it for $80 for 9 hours.

I can't tell which rates belong to which instructor and Mark's name isn't listed by any rates......

but the $80 for 9 hours is the best deal per hour

Answer:

175°F

Step-by-step explanation:

The difference between -82 and 0 is 82.

The difference between 0 and 93 is 93.

Add these two numbers together to find the total difference:

82 + 93

= 175

So, the difference is 175°F

Step-by-step explanation:

The regression equation is correctly written as:

log(rent) = β₀+β₁log(pop)+β₂log(avginc)+β₃pctstu+μ

1. this question requires us to State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly rents.

null hypothesis

H₀ : β₃ = 0 (no effect exists)

alternative that there is an effect.

H₁ : β ≠ 0

2.

Due to increased demand when population is increased, the higher the number of people living in the city then there is a great likelihood that rent would increase. β1 will therefore be positive, all things being equal.

as average income rises, so also would rent as the people would have more money and therefore there would be increased demand for housing. This increase in demand would then cause a surge in the price of rent.  β₂ would therefore be positive .

the last question you posted is incomplete so i was unable to go ahead with it.

Answer:

x >= 5

(x is greater and equal than 5)

Step-by-step explanation:

4+3x >= 19

3x >= 19-4

3x >= 15

x >= 5

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Answer:

-5,-4

Step-by-step explanation:

-5,-4

down 1 unit: -5,-3

up 1 unit: -5,-4

Answer:

d because no x has more than one y value

Answer:

|24 - (2x - 6)| < 6

x > 12 or x < 18 (12 < x < 18)

Step-by-step explanation:

Area of the triangle = ½*base*height = ½*8*6 = 4*6 = 24 unit²

Area of rectangle = length * width = (x - 3) * 2 = (2x - 6) unit²

Difference in their areas is given as less than 6. This can be represented as an absolute value of inequality as shown below:

|24 - (2x - 6)| < 6

Solve to find the solution of the inequality by splitting into two as follows:

24 - (2x - 6) < 6 OR 24 - (2x - 6) > -6

Solve for each

24 - 2x + 6 < 6

30 - 2x < 6

Subtract 30 from both sides

-2x < 6 - 30

-2x < -24

Divide both sides by -2. < will change to >, since we are dividing by a negative number.

x > 12

Or

24 - (2x - 6) > -6

24 - 2x + 6 > -6

30 - 2x > -6

Subtract 30 from both sides

-2x > -6 - 30

-2x > -36

Divide both sides by -2

x < 18

The solution of the inequality is x > 12 or x < 18

Or can be written as: 12 < x < 18