The monthly utility bills in a city have a mean of $70 and a standard deviation of $8. Find the s-scores that correspond to utility bills of $60, $71 and $9. What can you conclude

Z-Score for:
$60:
$71:
$92:

Answers

Answer 1

92 because I'm really good at math

Answer 2

The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

What is Z-score?

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,

A.) X= 60

[tex]Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25[/tex]

B.) X = 71

[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125[/tex]

C.) X = 92

[tex]Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25[/tex]

Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

It all depends on how many people are in your class.

To calculate probability

Determine a single event with a single outcome.

Identify the total number of outcomes that can occur.

Divide the number of events by the number of possible outcomes.

To determine the probability, Use the formula

What is the formula of probability?

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

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Enter the median, lower quartile, and upper quartile of the scores of 11 students on the geography quiz.
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Answers

Answer:

Median - 15.5

Lower Quartile - 13

Upper Quartile - 22.5

Steps to calculate Median:

1. Orchestrate your numbers in mathematical request.  

2. Check the number of numbers you have.  

3. On the off chance that you have an odd number, partition by 2 and gather together to get the situation of the middle number.  

4. On the off chance that you have a considerably number, partition by 2. Go to the number around there and normal it with the number in the following higher situation to get the middle.

Steps to calculate Upper and Lower Quartile:

1. Request your informational index from most minimal to most elevated qualities.  

2. Track down the middle. This is the second quartile Q2.  

3. At Q2 split the arranged informational collection into equal parts.  

4. The lower quartile Q1 is the middle of the lower half of the information.  

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Nic sells advertising packages for a radio station. The company pays him $150 per week and they also pay him $75 for every package he sells. His friend Asia works for the same radio station but she receives a salary only, which is $1,275 per week. How many packages does Nic need to sell in a week to earn as much as Asia?

Answers are:
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B) 15
C)16
D)20

Answers

I believe the answer would be 15, because Nic makes a base of $150 per week, so you would do the base $150+75=225 and keep going until you get 1275. The # of packages Nic would need to sell to reach Asia’s weekly pay is 15.

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Answer:

y ≥ 62

Step-by-step explanation:

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Angle KLM = 86 hope that helps

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Answer:

              [tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]

Therefore the formula:

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Answer:

SUT

Step-by-step explanation:

A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency

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B

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

#1 is Geometric

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Answers

Answer:

53%

Step-by-step explananation:

how much did he sell them for?

11*20 = 220

220+10 = 230

so he got a total of 230 off of buying 150

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Answer:

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Step-by-step explanation:

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Answers

Answer: 65

Step-by-step explanation:

Measure of ∠M to the nearest degree is [tex]65^{0}[/tex].

What is law of cosine?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Given

k = 76 inches

l = 30 inches

m = 69 inches

From the law of cosines

Cos <M = [tex]\frac{k^{2} +l^{2} -m^{2} }{2.k.l}[/tex]

Cos <M = [tex]\frac{76^{2} +30^{2} -69^{2} }{2.76.30}[/tex]

Cos <M = [tex]\frac{1915}{4560}[/tex]

Cos <M = 0.42

<M  = [tex]cos^{-1} (0.42)[/tex]

<M ≈ [tex]65^{0}[/tex]

Hence, measure of ∠M to the nearest degree is [tex]65^{0}[/tex].

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How many solutions does the following system of equations have?

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Answer:

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[tex]\int\limits^a_b {x} \, dx[/tex]

Step-by-step explanation:

What is the volume of the rectangular prism?

Answers

9514 1404 393

Answer:

  17 7/9 yd³

Step-by-step explanation:

The volume is the product of the dimensions.

  V = LWH

  V = (3 1/3 yd)(2 2/3 yd)(2 yd) = (10/3)(8/3)(2) yd³ = 160/9 yd³ = 17 7/9 yd³

__

Additional comment

You can guess the correct answer with a couple of estimates.

  volume is greater than (3)(2)(2) = 12 . . . . rounding down to integer

  volume is less than (3 1/3)(3)(2) = 20 . . . . rounding 2 2/3 up to 3

Based on the way these numbers are rounded, the volume is closer to 20 than to 12. This strongly suggests that 17 7/9 is the correct answer.

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Answer:

a = 146

Step-by-step explanation:

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One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 140 nautical miles?

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185 km

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Answers

Answer:

259 km

Step-by-step explanation:

Butterfly method 100/185=140/???

185*140=25900

divide by 100

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in a school the number of girls exceeds the number of boys by 15%. Find the ratio of the numbers of boys to girls?​

Answers

Answer:

2 : 3 is the correct answer

Step-by-step explanation:

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Answers

Answer:

$1,250

Step-by-step explanation:

Mr. Stewart will spend $750

Mrs. Steward wants $250 less than twice that

750 * 2 is 1500

1500 - 250 is 1250, our final answer

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Answers

Answer:

13 5/6

Step-by-step explanation:

83/6 = ?

6 can go into 83, only 13 times. Which would make 83/6 turn into:

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Answer: Area: 5808 Primiter: 308

Answer:

Answer: A-Area: 5808 Primiter: 308

B-Area is needed

Step-by-step explanation:

What is the solution to the equation x3 = 16?

Answers

Do you mean x^3 =16
If it is true then just cube root 16

The solution of the equation x³ = 16 will be;

⇒ x = 2.519

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x³ = 16

Now,

Since, The equation is,

⇒ x³ = 16

Solve for x as;

⇒ x = ∛ 16

⇒ x = 2.519

Thus, The solution of the equation is,

⇒ x = 2.519

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The difference between the highest and lowest single game point totals for the MIDDLE HALF of the data is ______ points less for Joe's data than Sam's data. Therefore, the MIDDLE HALF of Joe's single game point totals are less varied than Sam's.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required data to answer the question are missing.

However, the interpretation of the question is to determine the interquartile range (IQR) of a certain dataset.

Then get the difference between the calculated IQR & Joe's data and also the difference between the calculated IQR & Sam's data

Then, make comparison

To do this, I will use the following assumed datasets.

[tex]Data: 62, 63, 64, 64, 70, 72, 76, 77, 81, 81[/tex]

IQR is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Q_3[/tex] is [tex]the\ median[/tex] of the upper half

[tex]Q_1[/tex] is [tex]the\ median[/tex] of the lower half

For Joe, we have:

[tex]Lower\ half: 62, 63, 64, 64, 70[/tex]

[tex]Upper\ half: 72, 76, 77, 81, 81[/tex]

The median is then calculated as:

[tex]M = \frac{N + 1}{2}[/tex]

For, the lower half:

[tex]Q_1 = \frac{5 + 1}{2} = \frac{6}{2} = 3rd[/tex]

So:

[tex]Q_1 = 64[/tex]

For the upper half:

[tex]Q_3 = \frac{5 + 1}{2} = \frac{6}{2} = 3rd[/tex]

So:

[tex]Q_3 = 77[/tex]

When the same process is applied to Sam's data,

[tex]Q_1 = 52[/tex]

[tex]Q_3 = 58[/tex]

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 77 - 64[/tex]

[tex]IQR = 13[/tex]

Assume that:

[tex]Joe = 60[/tex]

[tex]Sam = 65[/tex]

[tex]Joe - IQR = 60 - 13 = 47[/tex]

[tex]Sam- IQR = 65- 13 = 52[/tex]

Hence, the IQR is 47 points less for Joe's data than Sam's

o is the centre of the circle if ab equals 6 units oc perpendicular to ab with m on ab, and mc equal one unit find the length of om​

Answers

Do you have any notes that could be resourceful?
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