Mathematics Middle School

b. What is the probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean?

Answers

Answer 1
Given the question:

The mean tax-return preparation fee H&R Block charged retail customers last year was $183 (The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume the population standard deviation of preparation fees is $50.

Round your answers to four decimal places.

a. What is the probability that the mean price for a sample of 30 H&R Block retail customers is within $8 of the population mean?

b. What is the probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean?

c. What is the probability that the mean price for a sample of 100 H&R Block retail customers is within $8 of the population mean?



Part A:

The probability that a sample of size, n, of a normally distributed data with a mean of μ, and standard deviation of σ, is within, a, units of the mean is given by

 [tex]2P(X\ \textless \ a)-1=2P\left(z\ \textless \ \frac{a}{\sigma/\sqrt{n}} \right)-1[/tex]

Thus, the probability that the mean price for a sample of 30 H&R Block retail customers is within $8 of the population mean is given by:

[tex]2P\left(z\ \textless \ \frac{8}{50/\sqrt{30}} \right)-1=2P(z\ \textless \ 0.8764)-1 \\ \\ =2(0.80958)-1=1.61916-1=\bold{0.6192}[/tex]



Part B:

The probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean is given by:

[tex]2P\left(z\ \textless \ \frac{8}{50/\sqrt{50}} \right)-1=2P(z\ \textless \ 1.131)-1 \\ \\ =2(0.87105)-1=1.7421-1=\bold{0.7421}[/tex]



Part C:

The probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean is given by:

[tex]2P\left(z\ \textless \ \frac{8}{50/\sqrt{100}} \right)-1=2P(z\ \textless \ 1.6)-1 \\ \\ =2(0.9452)-1=1.8904-1=\bold{0.8904}[/tex]

Related Questions

67a(t+z)=45z+67 solve for z.
I need help. Please?

Answers

67a(t+z)=45z+67
Distribute the 67a to inside the parenthesis.
67at + 67az = 45z + 67
Subtract 67 to the other side.
67at + 67az - 67 = 45z
Divide everything by 45.
1.49at + 1.49az - 1.49 = z

Hope that helped! :)
Hello there, let's get started.

The equation is 67a(t+z)=45z+67.

Let's first distribute "67a" to the "t" and "z" in the parenthesis.
The equation simplifies to: 67at + 67az = 45z + 67. 

Step one is to Add -45z to both sides. 67at+67az+−45z=45z+67+−45z (this crosses 45z out), it is now simplified to 67at+67az−45z=67. 

Step 2 is to now add -67at to both sides. 67at+67az−45z+−67at (this crosses 67at out)=67+−67a. The equation is now simplified to 67az−45z=−67at+67t. 

Step 3: Factor out variable z. z(67a−45)=−67at+67. 

Step 4: Divide both sides by 67a-45. z(67a−45)/67a−45=−67at+67/67a−45.
It's then simplified to: z=−67at+67/67a−45.

The equation: z=−67at+67/67a−45 is the final answer. Sorry if this is confusing.

Write 63 as a sum of tens and ones

Answers

you have 60 in your tens place. you have 3 in your ones place. then add both together

For what value of y does 125=(1/25)^y-1
A -5/2
B -2
C -1
D -1/2

Answers

The value of y that satisfies the equation is -1/2.

The correct option is D.

To solve the equation, using the property of exponents:

125 = (1/25[tex])^{y-1[/tex]

Now, 125 can be written in exponent form as (5³) and (1/25) as (5⁻²):

So, 5³ = (1/5²[tex])^{y-1[/tex]

5³ = (5⁻²[tex])^{y-1[/tex]

5³ =[tex]5^{-2y+2[/tex]

Since the bases are the same, comparing the exponents as:

3 = -2y+ 2

3-2 = -2y

-2y = 1

y= -1/2.

Therefore, the value of y that satisfies the equation is -1/2.

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How much is 24 ounces of spread if it is $6.40 per pound?

Answers

Since a ounce = pound is 16=1 so convert 24 ounces into pounds which is 1.5 pounds so multiply 6×4 by 1×5 and get $9.6 dollars for 24 ounces of the spread.
A pound = 16oz
Half a pound = 8oz

16 + 8 = 24
|| || ||
1lb 1/2lb 1 1/2 lbs


6.40/2 = 3.20
6.40 + 3.20 = 9.60

Your answer is 9.60

mr smith waters one one of his plants every 10 days and another plant every 14 days. If he water both days today when is the next time both plants will be watered on the same day?.

Answers

it will be after 70 days

Answer:

after 70 days.

Step-by-step explanation:

Mr. Smith waters one of his plants every 10 days and another plant ever 14 days.

he waters both plants today we have to find the next time both plants will be watered on the same day.

So we will take LCM of these numbers.

LCM of 10 , 14

= 2 × 5 × 7

= 70

The next time both plants will be watered on the same day after 70 days.

204 meters 89 cm = how many cm??

Answers

20,489 because 1 meter is 100 centimeters.

204 meters 89 centimeters is equal to 20,489 centimeters.

To convert 204 meters 89 centimeters to centimeters, we need to consider that 1 meter is equal to 100 centimeters.

204 meters is equal to 204 × 100 = 20,400 centimeters.

Adding the 89 centimeters, the total is 20,400 + 89 = 20,489 centimeters.

Therefore, 204 meters 89 centimeters is equal to 20,489 centimeters.

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Which expression is equivalent to 3 square root 216x27 ?

6x3
6x9
72x3
72x9

Answers

[tex]\sqrt[3]{216\times27}\\\\\text{Use:}\ \sqrt[n]{a\cdot b}=\sqrt[n]a\cdot\sqrt[n]b\\\\\sqrt[3]{216\times27}=\sqrt[3]{216}\cdot\sqrt[3]{27}=6\cdot3=18\\\\.........................................................\\\\\sqrt[3]{216}=6\ \text{because}\ 6^3=216\\\\\sqrt[3]{27}=3\ \text{because}\ 3^3=27[/tex]

The answer to your problem would be answer B. 6x^9. It is the only answer equivalent to the 3 square root 216x27.


Hope this helps. :3

Marty has a fenced yard in the shape of a rectangle. It's area is 635.4 square feet. The width of the yard is 18 feet. What is the length of the fence?

Answers

Area=length*width

635.4=18*L
35.3=L

So the answer is 35.3
Final answer:

The length of the rectangular yard, given an area of 635.4 square feet and a width of 18 feet, can be calculated using the formula for the area of a rectangle. Substituting the given values into the formula, we find that the length is approximately 35.3 feet.

Explanation:

The question is about finding the length of a rectangular yard given its area and width. Recognizing that the formula for the area of a rectangle is Area = Length x Width, we can easily find the length of the yard by rearranging the formula.

To find the length of a rectangle when you know the area and width, use the rearranged area formula: Length = Area ÷ Width.

Given the values from the problem: Area = 635.4 sq ft and Width = 18 ft, we substitute them into the formula: Length = 635.4 ÷ 18. This results in a length of approximately 35.3 feet.

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256is what percent of 400=

Answers

So first change this to a fraction.

256/400

And then just divide.

256/400 = 0.64

And then change that to a percent.

64%
The answer is that 256 is 64% of 400.

What is 45,824 rounded to the nearest thousand

Answers

46,000 is the answer
You have your 1s 10s 100s 1,000s 10,000s. 45,824 you want to round to the nearest thousands so you look at 5,824. if its 5 or more go up if its 4 or round down. 800 is more than 500 so you round up to 6,000. The answer is 46,000.

What is 231 divided by 42

Answers

5.5 is the answer for the problem
5.5 is the correct answer


Find the coordinates of the points of intersection of the graphs with coordinate axes:
y=−1.5x+3

x − intercept is ( , )
y − intercept is ( , )

Answers

I only know the y intercept which is 0,3

Answer:

x - intercept is (2,0)

y - intercept is (0,3)

Step-by-step explanation:

y = 0 for x - intercept

0 = - 1.5x + 3

- 3 = - 1.5x

x = 2

x = 0 for y - intercept

y = 0 + 3

y = 3

A pet shop uses 43 pounds of food each day. How many pounds are used in 365 days?

Answers

You know that 43 pounds are used each day, and they say 365 days, so what do you do?





































You multiply
43 lbs. x 365 days=15,695 lbs.

what is a solution to (x-2)(x+10)=13?
a: x=3
b: x=8
c: x=10
d: x=11

Answers

(x-2)(x+10)=13

x^2 + 10x - 2x - 20 = 13

x^2 + 8x - 20 - 13 = 0

x ^2 + 8x - 33 = 0

(x + 11) (x - 3) = 0

x + 11 = 0

x = -11

x - 3 = 0

x = 3

The answer is clearly x = 3.

Choice a.
Best answer would be A

the attendance at two baseball games on successive nights was 66,000 the attendance on Thursdays game was 6,000 more than 2/3 of the attendance at Friday nights game

Answers

Fridays game = x

 Thursdays game = 2/3x +6000

 x + 2/3x +6000 = 66000

x +2/3x = 5/3x

5/3x + 6000 = 66000

5/3x = 60000

x = 60000 / 5/3 = 36000

 Friday night = 36000

 Thursday night = 30000

1.75 rounded to the nearest whole number

Answers

Numbers 0, 1, 2, 3, and 4 are rounded down.
Numbers 5, 6, 7, 8, and 9 are rounded up.

Since we're rounding to the nearest whole number, don't even look at the hundreths place. All you need is the tenths place.

The number in the tenths place is 7, so you round up.

1.75 rounded to the nearest whole number is 2.

Hope this helps!
Your song is "Sincerely Me"

The rounded number is given by A = 2

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the rounded number be represented as A

Let the number be represented as n

Now , the value of n = 1.75

And , when you round to the nearest ones place. The 1 in the ones place rounds up to 2 because the digit to the right in the tenths place is 7.

When the digit to the right is 5 or greater we round away from 0.

So , the rounded number is A = 2

Hence , the rounded number is A = 2

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20 points please answer and write an inequality

A popular cellular phone family plan provides 1,500 minutes. It charges $89.99/month for the first two lines and $9.99/month for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.

Answers

if you're counting the two lines given with the only 89.99 plan its 9 plans if not then its 7 additional plans

you can buy 5 t-shirts at baxter's for the same price that you can buy 4 t-shirts at Bixby's

Answers

Ok
What is the question

How do I do this without a graph to plot points on

Answers

I'm guessing you should write it in the Slope Intercept Formula, which is y = mx + b

For example, #6 would be y = 5x - 1

estimate 102.3 divided by 4.7

Answers

Answer:

20

Explanation:

To estimate, we round.  102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.

Answer:

The estimate result of 102.3 divided by 4.7 is 20.

Step-by-step explanation:

Given : 102.3 divided by 4.7

We have to estimate 102.3 divided by 4.7

Since, estimation is the roughly calculation and is usually involves rounding to the nearest values so that they are easy to cancel out.

Since, we have to divide,

102.3 divided by 4.7

Rounding 102.7 to nearest tens place , we get, 102. 7 = 100

And Rounding 4.7 to nearest  ones place, we get, 4.7 = 5

Thus, when divide 100 by 5 , we get 20.

Thus,  102.3 divided by 4.7 ≈ 20

Thus, The estimate result of 102.3 divided by 4.7 is 20.

Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?

Answers

The given polynomial is
f(x) = x³ + 6x² + 12x + 35

According to the Remainder Theorem, if x = a is a zero, then
f(a) = 0, and (x-a) is a factor.

Test (x-1):
f(1) = 1 + 6 +12 + 35 = 54   
Not a factor.

Test (x-3):
f(3) = 3³ +6*3² + 12*3 + 35 = 152
Not a factor.

Test (x+3):
f(-3) = (-3)³ + 6*(-3)² + 12*(-3) + 35 = 26
Not a factor.

Test (x+5):
(-5)³ + 6*(-5)² + 12*(-5) + 35 = 0
It is a factor.

Answer: (x+5) is a factor.

Which equation below is a direct variation? A. 0.05x = y B. x + 2 = y C. D. y = 2x + 6

Answers

It’s A because the direct variation formula is y = mx.

Are the fractions 1/2 and 3/8 equivalent fractions

Answers

No, 1/2 is equivalent to 4/8

A fraction is a way to describe a part of a whole. The value of the two fractions is not equal.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The value of the two fractions can be simplified as,

1/2 = 0.5

3/8 = 0.375

As it can be seen that the value of the two fractions is different, therefore, the value of the two fractions is not equal.

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the sum of twice a number and 9 is 43

Answers

2x + 9 = 43 This is the equation.
2x = 34 Subtract 9 from both sides.
x = 17 Divide both sides by 2.

Answer:x=17

Step-by-step explanation:

Gary read 34 pages of a 340 pages book what percentage did he read

Answers

Gary read 10% of the book. To solve this, I turned the problem to a fraction 34/340 (34 out of 340 pages read) and simplified it to 10/100 so I can convert it to the percent, 10%.

As per linear equation, Gary read 10% of the book.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

Gary read 34 pages of a 340 pages book.

Therefore, the percentage of the book he read is

= (34/340) × 100%

= 10%

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Which function describes this graph?

f(x)=4x+2
f(x)=x+2
f(x)=1/4x+2

Answers

f(x) = 1/4x + 2

This means that the y-intercept is 2 and the slope is 1/4.

Hope this helps!
The function that best describes this graph would be f(x)=1/4x+2. The y-int is 2 and it rises once and runs 4 times to the right.

find the percent increase for 13 friends to 14 friends round to nearest percent if you can

Answers

From 13 to 14 # is increased by 1

14-14 = 1/13 *100% That equals 7.69%

Your answer is 7.69%

Final answer:

The percent increase from 13 to 14 friends is calculated as [(14 - 13) / 13] × 100, which gives a result of approximately 7.7%. After rounding to the nearest percent, the increase is 8%.

Explanation:

To find the percent increase from 13 friends to 14 friends, we use the formula for percentage change, which is:

Percentage Change = [(New Value - Original Value) / Original Value] × 100

In this case, our original value is 13 (the number of friends at the start) and our new value is 14 (the number of friends after the increase). So, we plug these numbers into our formula:

Percentage Change = [(14 - 13) / 13] × 100 = [1 / 13] × 100

Now, we calculate the fraction and then multiply by 100:

Percentage Change = (0.07692307692) × 100 ≈ 7.7%

When rounded to the nearest percent, the percent increase is approximately 8%.

Use the order of operations to find the value of the expression 5*2+6-5

Answers

You have to use PEMDAS. The first irder of operations to use in this situation is multiply. So 5 x 2 = 10. Now we have to add 10 + 6 = 16. Lastly, you have to subtract 16 - 5 = 11. So your answer would be 11. 


Hope this helps! : - D



Salutations!

BODMAS also called Order of Operations means:

B- Brackets

O - Order

D- Division

M- Multiplication

A- Addition

S- Subtraction.

[tex]5*2+6-5[/tex]

[tex]5*2 =10[/tex]

[tex]10+6=16[/tex]

[tex]16-5=11[/tex]

Hope I helped (:

have a great day!

Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
A.) 16.5 mi; 19.5 mi

B.) 33 mi; 39 mi

C.) 66 mi; 78 mi

D.) 49.5 mi; 58.5 mi

Answers

1) New Wilmington-> Mercer: 1.25in
Mercer -> Sharon: 1.5in
-> in total 2.75in
scale 1 in:12 mi

->in total scaled: 2.75*12 mi=24+9mi=33mi

2) New Wilmington-> Volant: 1.25in
Volant -> Sharon: 2in
-> in total 3.25in
scale 1in:12mi

->in total scaled: 3.25*12 mi=36+3mi=39mi

so the answer is B) 33 mi; 39 mi

the other person is incorrect "b.33 Mi; 39Mi" is not even an option on my quiz

the correct answer is 76.5 mi; 67.5 mi



A music download service charges a flat fee each month and $0.99 per download. The total cost for downloading 37 songs this month is $42.72.
How much is the flat fee?
(pls tell me the equation)

Answers

.99x=37.00
42.72-x=answer
there is 37 downloads so .99 times 37 is 36.63 so 36.63 minus 42.72 is 6.09 so the flat fee is $6.09.
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