The mean per capita income is 21,604 dollars per annum with a standard deviation of 727 dollars per annum. What is the probability that the sample mean would be less than 21635 dollars if a sample of 193 persons is randomly selected?

Answers

Answer 1

Answer:

0.72321

Step-by-step explanation:

Given that :

Mean = 21604

Standard deviation (s) = 727

Sample size (n) = 193

P(x < 21635) :

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s/√n

Z = (21635 - 21604) / 727/√193

Z = 31 / 52.330605

Z = 0.5923875

P(Z < 0.5924) = 0.72321 (Z probability calculator)

p(Z < 0) = 0.5 ( Z probability calculator)


Related Questions

13 (04.07)
What is the end behavior of the function f(x) = 3x4 – x3 + 2x2 + 4x + 5? (1 point)
Up on the left, up on the right
Up on the left, down on the right
Down on the left, up on the right
Down on the left, down on the right

Answers

Step-by-step explanation:

Coefficient of 3x⁴ is positive (concave upwards)

Power of x⁴ is even (both ends go upwards)

Hence the answer is Up on the left, up on the right.

Help!!!! What is the area of this figure?

Select from the drop-down menu to correctly complete the statement.

The area of the figure is
Choose...cm².

Answers

Answer:

153

Step-by-step explanation:

You need to find the area of the triangle first which is 63. The you want to find the area of the trapezoid which is 90. Then add them together.

Carl and Derrick are part-time employees. They are paid different hourly rates. One week, Carl worked for 15 hours and Derrick worked for 20 hours. Their combined pay was $640. The next week, Carl worked 20 hours and Derrick worked 25 hours. Their combined pay was $820. What is Carl's hourly pay rate?

Answers

Answer:

Carl's hourly pay rate is $16

Step-by-step explanation:

Let x is the hourly rate of Carl and y is the hourly rate of Derrick

Carl's hourly rate is $x

Derrick's hourly rate is $y

∵ Carl worked for 15 hours and Derrick worked for 20 hours

∴ Their combined pay was 15x + 20y

∵ Their combined pay was $640

→ Equate the value of the combined pay

15x + 20y = 640 ⇒ (1)

∵ The next week, Carl worked 20 hours and Derrick worked 25 hours

∴ Their combined pay was 20x + 25 y

∵ Their combined pay was $820

→ Equate the value of the combined pay

20x + 25y = 820 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by 5 and equation (2) by -4

∵ 5(15x) + 5(20y) = 5(640)

75x + 100y = 3200 ⇒ (3)

∵ -4(20x) + -4(25y) = -4(820)

-80x - 100y = -3280 ⇒ (4)

→ Add equations (3) and (4)

(75x + -80x) + (100y + -100y) = (3200 + -3280)

∴ -5x + 0 = -80

∴ -5x = -80

→ Divide both sides by -5 to find x

x = 16

Carl's hourly pay rate is $16

Answer:$16 I looked it up

Step-by-step explanation:

Select the correct answer. Which point satisfies the system of equations y= 3x - 2 and y= -2x + 3? ​

Answers

Answer:

y= 3x - 2 has a slope of three n the graph pic will be below

y= -2x + 3 has a slope of -2 n the graph pic will be below

Step-by-step explanation:

I hope this is what you were looking for and I hope it helps you!

the 70th term of the arithmetic sequence the 70th term of the arithmetic sequence 18,34,50,...

Answers

Answer:1122

Step-by-step explanation:

Hve to work out the general equation first by calculating the common difference-16.

-2x+10y=25
X-25y=3

Elimination method

Answers

Answer:

equation form: x=-131/8y -31/40

Step-by-step explanation:

this is addition/elimination

Step-by-step explanation:

(-2x+10y=25) × 2.5

-5x+25y=62.5

x-25y=3

-5x+x+25y-25y=62.5+3

-4x=65.5

x =65.5÷4

=16.375

16.375-25y=3

-25y=3-16.375

-25y=-13.375

y=- 13.375÷-25

=0.535

i tried.

2(3v−5)=2(v−11)−4
what is v?

Answers

Answer:

-4

Step-by-step explanation:

1.  6v-10=2v-22-4

2.  4v-10=-26

3. 4v=-16

4.  v=-4

Please help !!! I neeed this ASAP please

Answers

I can do a and b for you but im unsure about c and d. I'm sorry :((

a. x = 2  

It is the only point that hits the x axis, thus making it a zero of f(x).

b. substitute 2 for x in the original equation and it should equal 0.

f(x)= x^3 - 2x - 4

f(x)= 2^3 - 2(2) -4

f(x)= 8 - 4 - 4

f(x)= 0

Jack wanted to make note cards by cutting pieces of paper in half. Before starting he got two more pieces to use. When he was done he had 24 half-pieces of paper. With how many pieces did he start? A) 11 B) 9 C) 8 D) 10

Answers

Answer:

D) 10

Step-by-step explanation:

We are told in the question:

Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.

Step 1

Divide the number of half pieces by 2 to get the number of whole pieces that was cut

= 24 half pieces/2

= 12 full pieces

Step 2

With how many pieces did he start?

We are told in the question that: Before starting he got two more pieces to use

Hence: The number of pieces he started is calculated as:

12 pieces - 2 pieces

= 10 pieces

Hence, he started with 10 pieces

HELP PLS WILL GIVE BRAINLIEST i feel like the answer is either a or b but im too indecisive so idkkk D: pls help and explain, thank you

Answers

Answer: it’s C

Step-by-step explanation: ^

Answer:

the domain of f(x) is x > 0

Step-by-step explanation:

mark brainliest

Haiii how you doing so far are you having a good morning too ? ʕ •ᴥ•ʔ

Answers

Answer:

HI I AM BORED

Step-by-step explanation:

Which statement about proteins is TRUE?
A) You cannot consume complete proteins if you eat a vegetarian diet.
B) Animal products like meat and dairy provide complete proteins.
C) Beans provide all the amino acids the body needs.
D) During digestion, your body combines proteins to make amino acids.

Answers

Answer:

The answer is

A.) Animal products like meat and dairy provide complete proteins.

Hope this helps! Have a great day :)

Step-by-step explanation:

Can anyone simplify

6d - 4d

Answers

Answer:

(6 - 4) + (d^2) = 2d

Step-by-step explanation:

You subtract 6-4 and since the d's don't have their set value yet you add it to your answer.

Spencer wrote an expression with a value of. Which of the following expressions
could Spencer have written?
F
G
H
J

Answers

Answer:

bruh moment hdu2ebdd

Step-by-step explanation:

yqh1 badalamenti

Complete the function
table below for y= 4x + 5. (Look at the photo.)

Answers

Answer:

5, 25, 45

Step-by-step explanation:

okay so it goes like this, the number in the x colume X 4 + 5 so 0 X 4 = 0 + 5 = 5, 5 X 4 is 20 + 5 = 25 and 10 X 4 =40 + 5 = 45.

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

The parallel segment divides the 2 sides of the triangle proportionally, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{6}{12}[/tex] ( cross- multiply )

12x = 48 ( divide both sides by 12 )

x = 4

Answer:

Hi

the answer would be:

6/18 = x/x+8 => if you solve the equation, it'll be equal to : x = 4

I hope that it's correct.

Step-by-step explanation:

Organic milk costs $2.52 per half gallon. At this rate, how can the price of 4 gallons of organic milk be determined? by multiplying $2.52 by 4 by dividing $2.52 by 4 by finding the unit price and multiplying it by 4 by finding the unit price and dividing it by 4

Answers

Answer:

By multiplying unit price by 4

Step-by-step explanation:

Answer:

By finding the unit price and multiplying it by 4 .

Step-by-step explanation:

Unit price = 2.52 / 1/2

= 2.52 * 2

= 5.04.

Now multiply this by 4 to give $20.16.

what is the correct answer?

Answers

Given:

Dividend = [tex]3x^3-3x^2-4x+3[/tex]

Divisor = [tex]x+3[/tex]

To find:

The quotient and remainder.

Solution:

On dividing [tex]3x^3-3x^2-4x+3[/tex] by  [tex]x+3[/tex], we get

[tex]x+3\ |\overline{3x^3-3x^2-4x+3} |\ 3x^2-12x+32[/tex]

         [tex]3x^3+9x^2[/tex]

    [tex]\underline{(-)\quad (-)\quad \quad \quad \quad \quad }[/tex]

                [tex]-12x^2-4x+3[/tex]

                [tex]-12x^2-36x[/tex]

               [tex]\underline{(+)\quad (+)\quad \quad \quad }[/tex]

                             [tex]32x+3[/tex]

                            [tex]32x+96[/tex]

                        [tex]\underline{(-)\quad (-)\quad }[/tex]

                               [tex]\underline{\quad -93\quad }[/tex]

Here,

Quotient = [tex]3x^2-12x+32[/tex]

Remainder = [tex]-93[/tex]

Therefore, the correct option is D.

A shirt originally cost $24.99. It was on sale for $19.99. What was the percent decrease in the price of the shirt?

A.
5%

B.
10%

C.
20%

D.
25%

Answers

The percentage is shirt is 5%

24.99 x 0.20 = 5
24.99 - 5 = 19.99

the answer is C. 20%

I think of a number. I multiply it by 7. I add 12. The result is 40. What is the number I am thinking of?​

Answers

The number that you are thinking of is 4. To get this answer I did the opposite of how you received your answer.
40 - 12 = 28
28 ÷ 4 = 7
The number that you are thinking of is 4.

Mel drove 432 miles during his trip. He drove an average of 72 miles per hour. How long was his trip?
4 hours
6 hours
12 hours
O 16 hours

Answers

If Mel drove 432 miles and drove an average of 72 miles per hour, the Trip would have taken 6 hours answer B
it’s b! good luck and happy holidays:)

PLEASE HELP !!!! I NEEDA SLEEPP

Answers

Answer:

PQR and VXW

Step-by-step explanation:

4
Select the correct answer from the drop-down menu.
A gardener uses 1/3 of a liter of water to water 2/7 of a garden.
Watering the entire garden at this rate will require
How many liters of water.

Answers

Answer:

1 1/6 liters of water

HELP PLS!!!!!!!!!!!!!!

Answers

Answer:

the question is not clear

Answer the question plz and thank
(Brainliest)

Answers

Answer:

the 3rd answer

Step-by-step explanation:

:)

The correct answer is C.

All you have to do is count each letter. The amount you get is the number to the right of the letter.

For example: There are 6 Carbons, 12 Hydrogens, and 2 Oxygens. Your answer shows the correct form is should be in, C6H12O2

What is 10x-2(4x+5)+6

Answers

Answer:

2x - 4

Step-by-step explanation:

Expand the brackets.

10x - 2(4x+5) + 6 = 10x - 8x - 10 + 6

Evaluate like terms.

10x - 8x - 10 + 6 = 2x - 4

Answer:

Step-by-step explanation:

10x-2(4x+5)+6 foil

10x-8x-10+6 combine like terms

2x-4

If you need to find x

2x=4 divide by 2

x=2

5/6 x 2/2 multiply to find equivalent fractions

Answers

Answer:

5/6 = 1/3

Step-by-step explanation:

Answer:5/6 times 2/2 = 5/6

Step-by-step explanation:

Which equation shows the inverse property of multiplication?
A. 4+ (-4) = 0
B. -8+ (-3) = -3 + (-8)
C. 2. 1/2=1
D. 8/5 + 0= 8/5

Answers

Answer:

2 × [tex]\frac{1}{2}[/tex] = 1

Step-by-step explanation:

The multiplicative inverse of a number n is [tex]\frac{1}{n}[/tex]

The product of the number and its inverse = - 1

2 and [tex]\frac{1}{2}[/tex] are inverses and

2 × [tex]\frac{1}{2}[/tex] = 1

Liam placed 24 patio pavers as shown below
What is the the length of a single paver

I don’t think it’s A so help pwezze

Answers

Answer:

your answer would be 15.8 Inches

Step-by-step explanation:

I simply divided the Inches(63.2) by how many pavers there are on one side(4)

That gives me an answer of 15.8 Inches each.

Which of the following is a reason that Venus is not ideal for supporting life?
Group of answer choices

It has the perfect amount of atmosphere, but not enough hydrogen.

It has a thin atmosphere which prevents liquid water from existing on the planet surface.

It has a thick atmosphere which causes extremely high temperatures.

It lacks an atmosphere allowing for frequent meteorite collisions.

Answers

Answer:

It has a thick atmosphere which causes extremely high temperatures.

Step-by-step explanation:

venus's atmosphere is almost entirely carbon dioxide, and is also about 90x heavier than earth's atmosphere, which is similar to diving 3,000 feet below the ocean.

In conclusion, the answer would be "It has a thick atmosphere which causes extremely high temperatures."

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