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VikaD [51]
2 years ago
13

The mean of a normally distributed group of weekly incomes of a large group of executives is $1,000 and the standard deviation i

s $100. What is the z-score (value of z) for an income of $1,100
Mathematics
1 answer:
olga_2 [115]2 years ago
4 0

Answer:

The z-score (value of z) for an income of $1,100 is 1.

Step-by-step explanation:

We are given that the mean of a normally distributed group of weekly incomes of a large group of executives is $1,000 and the standard deviation is $100.

<em>Let X = group of weekly incomes of a large group of executives</em>

So, X ~ N(\mu=1,000 ,\sigma^{2}  = 100^{2})

The z-score probability distribution for a normal distribution is given by;

               Z = \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean income = $1,000

            \sigma = standard deviation = $100

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, we are given an income of $1,100 for which we have to find the z-score (value of z);

So, <em><u>z-score</u></em> is given by = \frac{X-\mu}{\sigma} = \frac{1,100-1,000}{100} = 1

<em>Hence, the z-score (value of z) for an income of $1,100 is 1.</em>

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Answer:

A and C

Step-by-step explanation:

A: 5 tens = 50

9 tenths = 0.9

6 hundreths = 0.06

= 50.96

C: 5*10 = 50 + 9 * 1/10 = 0.9 + 6 * 1/100 = 50.96

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2 years ago
Which input value produces the sane output value for the two functions on the gragh f(x)=-2/3x+1 g(x)=1/3x-2
zimovet [89]

Answer:

X=3

Step-by-step explanation:

We have two linear functions which intersect at a point. This point is shown in the attached graph. Linear functions are lines which are made of points that satisfy the function or relationship.  This means at the intersection, this point (3,-1), both functions have the same values. An input of x=3 produces y=-1 in both functions.


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3 years ago
What caused the faulting and uplift in the central Texas ecoregions? a Earthquakes broke the continental crust. b A lot of sedim
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Step-by-step explanation:

Hope I helped! Ask me anything if you have any questions! Brainiest plz. Hope you make an 100% and have a nice day! -Amelia♥

3 0
3 years ago
Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x -
aliina [53]

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

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3 years ago
PLX ANSWER THIS!!! I BEG YOU. ASAP!!! THX!! =UwU=
kodGreya [7K]

It should be noted that the relationship is not linear based on the information illustrated as the difference between the numbers aren't the same.

<h3>How to illustrate the information?</h3>

It should be noted that an equation is simply used to illustrate and express the relationship between the variables.

It should be noted that for the relationship to be linear, it's essential that they've the same relationship between them.

When x = 1, y = 4.5. The

When x = 2, y = 6.5

When x = 3, y = 8.5

When x = 4 y = 11.5

It should be noted that there's a difference of 2 at first but between 3 and 4, there is. a difference of 3.

Therefore, the relationship is not linear.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

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