At a certain company, loan agents are paid based on the number of loans they close in a day. Based on company records, the number of loans X that a randomly selected loan agent closes on a randomly selected day has the probability distribution below.x 1 2 3 4 5 6 7p(x) 0.05 0.10 0.22 0.30 0.18 0.12 0.03 At the company, the daily salary of a loan agent is $150 plus $50 per loan closed. Let YY represent the amount of money made by a randomly selected loan agent on a randomly selected day. Which of the following statements is NOT true?A. The mean of X is less than the mean of Y. B. The standard deviation of Y is approximately $71. C. The mean daily salary is greater than $350 per day. D. The standard deviation of X is less than the standard deviation of Y. E. The shape of the probability distribution of Y is unimodal and roughly symmetric.

Answers

Answer 1

Answer:

C. The mean daily salary is greater than $350 per day

Step-by-step explanation:

The computation is shown below:

Y = a + bX

where,

Y = money made by a random selected

a = $150

b = $50

X = number of loan

Now

E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)

= 3.94

Now

E(y) = $150 + ($50 × 3.94)

= $347

hence, the option C is not correct

Answer 2

The mean daily salary is greater than $350 per day and this can be determined by using the given data.

Given :

At a certain company, loan agents are paid based on the number of loans they close in a day.

The computation is given by:

Y = a + bX

where Y is the money made by randomly selected, a is $150, b is $50, and X is the number of loans.

Now, the value of E(x) is given by:

[tex]\rm E(x) = (1\times 0.5)+(2\times 0.1)+(3\times 0.22)+(4\times 0.3)+(5\times 0.18)+(6\times 0.12)+(7\times 0.03)[/tex]

[tex]\rm E(x) = 3.94[/tex]

Now, the value of E(y) is given by:

[tex]\rm E(y) = 150+(50\times 3394)[/tex]

E(y) = $347

So, the correct option is given by C) The mean daily salary is greater than $350 per day.

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Related Questions

(a) Complete the table of values for y = 1/2x + 1

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Answers

Answer:

y =1, 1.5, 2, 2.5, 3

Step-by-step explanation:

Plug in the values of x into the equation for y.

For example when x is 0, plug in 0 into the equation

0.5x + 1 = y

0.5(0) + 1 = 1

So, y = 1

To find the other values of y, plug in the designated value of x into the equation.

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Correct Answer: $420

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A school is arranging a field trip to the zoo. The school spends 698.24 dollars on passes for 29 students and 3 teachers. The school also spends 255.49 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answers

Answer:

30.63

Step-by-step explanation:

698.24 divided by 32. because they counted the teacher and the student passes together. Then you add that number to 255.49 divided by 29 because the teachers pass is not included so then you get youre answer of 30.63

Out of the 482 employees at the Coca-Cola plant, 37 are taking vacation next week. What percentage of employees are NOT vacationing?

Answers

Answer:

92.32%

Step-by-step explanation:

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Answer:

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Answers

Answer:

BC = 23.8

Step-by-step explanation:

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Answer:

(2, -3)

Step-by-step explanation:

Its the point shown

(can I get brainliest please)

Answer:

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Answers

Answer:

Where is point D??? I believe its IV, the others would not make sense.

Step-by-step explanation:

Determine whether each of the following equations is a function from x to y.

a. y = 2x + 1
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Answers

Answer:

a. y = 2x + 1: Not from x to y

b.1 = 2y – 4x: Not from x to y

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Step-by-step explanation:

We are to determine whether or not the equations are function from x to y

Given the function y = f(x)

y is a dependent variable while the input variable is an independent variable. So we can say y is a function from y to x.

Also x = f(y) can be expressed as equation of a function from x to y i.e x is dependent and the input variable is independent

From tthe following options, the equation that is a function from x to y is

y² – 1 = x

This can also be written as x = y² – 1 where f(y) is y² – 1

The rest are not a function of x to y but otherwise unless re-written

x * 2 - 21


x + 12


x - 12


x * 2 - 17

Answers

Answer:

The functions is;

x - 12

Step-by-step explanation:

Input is (x)

(2) - 12 = -10

(6) - 12 = -6

(10) - 12 = -2

(5) - 12 = -7

give two ways to write the expression as a phase for n+6​

Answers

Answer:


1. N plus 6

2. A number n is added to 6

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Answer: y=-1/3x+5

Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get  -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!

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Answers

Answer: c. 3 and 5 over 9

Step-by-step explanation:

There is a 8/9 cup of ice cream. The number of 1/4 cup servings that can be made from this is:

= 8/9 ÷ 1/4

= 8/9 * 4/1

= 32/9

= 3⁵/₉ cups

HELPPPP 69 POINTS!!!!

△FGH is translated up 2 units to form the image ∆F′G′H′.

What are the coordinates of the vertices of ∆F′G′H′ ?

Enter your answer by filling in the boxes.

F′ = ( , )

G′ = ( , )

H′ = ( , )

Answers

Answer:

I hope the Picture Helps!

Step-by-step explanation:

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The required coordinates of the vertices of ∆F′G′H′ is  F'  = (-5, 2), G'= (0, 2), and H' = (0, 6).

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

As mentioned in the question, a given triangle on coordinate axes translated 2 units up. The term "2 unit up" implies that each ordinate of the coordinates of the triangle is increased by 2 units,
So the trasformation equation for the triangle is given as,
(x, y) ⇒ (x, y+2)

Now, the coordinates of the vertices of ∆FGH,
F  = (-5, 0),    G= (0, 0)    H = (0, 4)

After the trasformation coordinate of ∆F′G′H′
F'  = (-5, 0 + 2),    G'= (0, 0 + 2)    H' = (0, 4 + 2)
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Thus, the required coordinates of the vertices of ∆F′G′H′ is  F'  = (-5, 2), G'= (0, 2), and H' = (0, 6).

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Answers

Answer:

4^5 (the 5 is the exponent)

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What is exponential form?

To grow at an ever-increasing rate is referred to as exponential growth. On the other hand, it is a mathematical expression with one or more exponents in mathematics. As a result, we call it an exponential form.

We can say that something might grow at an exponential rate if it grows faster and faster as the thing being discussed gets bigger.

Given expression

4.4.4.4.4

Writing a number as the product of its prime factors is the very first step in expressing it in exponential form.

number is in factors

4 x 4 x 4 x 4 x 4

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= 4⁵

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Answers

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Step-by-step explanation:

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Answers

Answer:

3/2 + 3/2 + 3/2 = 4 1/2

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B.
variation

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direct option

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Answers

Answer:

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Answer:

indirect variation

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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2% Drug
3% Mass Merchants
11%
Vending
Stores
16% Gąs
Stations
24% Fountain
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Stores
Based on the pie chart, the four largest locations for soft drink sales
account for approximately what percentage of total soft drink sales in
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Answers

Answer: 95%

Step-by-step explanation:

With the information provided, the four largest merchants are Grocery Stores, Fountain, Gas Stations, and Vending Stores.

These stores each make up 44%, 24%, 16%, and 11%, respectively.

The sum of these percentages is 95%. Thus, the four largest locations for soft drink sales make up 95% of soft drink sales.

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Answers

Answer:

SAS

Step-by-step explanation:

The triangles have the same angle and two sides.

Please mark me brainliest if this helped. :)

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Answers

Answer:

[tex]a_3=22[/tex]

Step-by-step explanation:

Given that,

a₁ = 10

[tex]a_n=a_{n-1}+6[/tex]

We can find second term first.

[tex]a_2=a_{2-1}+6\\\\=a_1+6\\\\=10+6\ (Given\ a_1=10)\\\\=16[/tex]

We need to find the third term of the above sequence. Put n = 3 in the above sequence as follows :

[tex]a_3=a_{3-1}+6\\\\=a_2+6[/tex]

Put a₂ = 16

[tex]a_3=16+6\\\\=22[/tex]

Hence, the third term of the sequence is 22.

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(9 × 10) + (3 × 1) + (5 ×
1
10
) + (6 ×
1
1,000
)

Answers

Answer:

66,143

Step-by-step explanation:

is question the following:  (9 x 10) + (5 x 10) + (6 x 11,000)??

NEED HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

I used the formula. it took a long but i got it! Brainly pls!

Music Magic offers live streaming for $9.99 a month, with downloads at $0.50 a song. You have $30 a month budgeted for this service. The equation 0.5s + 9.99 = 30 describes the situation. The solution to this equation is s = 40.02. Explain what this means in terms of service.

Answers

Step-by-step explanation:

$30 a month budget includes:

$9.99 monthly fee$20.01 to download songs, each for $0.50, this makes $20.01/$0.50 = 40.02 songs. So we can download 40 songs with this service.

Solve for the missing variable(s) and SHOW ALL WORK

Answers

Answer:

x = 4

Step-by-step explanation:

From the picture attached,

By using mean ratio theorem in the given triangle,

[tex]\frac{AC}{BC}=\frac{BC}{CD}[/tex]

AC × CD = (BC)²

(x + 5)x = (x + 2)² [Since, AC = AD + CD]

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5x = 4x + 4

5x - 4x = 4

x = 4

Therefore, x = 4 will be the answer.

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