Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household income in a region is normally distributed with mean $25,000 and standard deviation $6,000. If the poverty level for the region is at or below $12,000, what percentage of the population lives in poverty? • Round your answer to two decimal places.

Answers

Answer 1

Answer:

0.02

Step-by-step explanation:

Given a normal distribution :

Mean income (m) = 25000

Standard deviation of income (s) = 6000

X ≥ 12000

Using the relation to fund the standardized score :

Zscore =(x - m) / s

Zscore = ( 12000 - 25000) / 6000

Zscore = -13000 / 6000

Zscore = - 2.167

Using a z probability calculator :

P(Z ≤ - 2.167) = 0.015117

= 0.02


Related Questions

need a little help with this problem

Answers

Answer:

Step-by-step explanation:

Rate (slope) of miles per gallon of gas: m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

(0, 0)

(2, 50)

[tex]m_{carA}[/tex] = 25 mi/gal.

(0, 0)

(3, 60)

[tex]m_{carB}[/tex] = 20 mi/gal.

Car B use less gasoline.

Select the expression that is NOT equivalent to 2 × (3 + 6).

A. 6 + 12

B. (2 × 3) + (2 × 6)

C. (2 × 6) + (2 × 3)

D. (2 × 3) + (3 × 6)

Answers

A. 18
B. 18
C. 18
D. 24

Answer:

D

Step-by-step explanation:

in answer D, the values would equal "6" and "18" which is not equivalent to the given equation

an object is traveling at a steady speed of 10 1/5 km/h. how long will it take the object to travel 4 4/5

Answers

Incomplete question but the comnplete question is  how long will it take the object to travel 4 4/5km

Answer: time taken for the object to travel =  0.47 hrs

Step-by-step explanation:

Step 1 -- The formulae to represent the relationship of speed,  distance and time .

Speed = Distance / Time

Where Speed = 10 1/5 km/h

Distance = 4 4/5 km

Step 2 ---  Solving

Time = Distance / Speed

= 4 4/5 km / 10 1/5 km/h

= 24/ 5 x 5/ 51 = 24/51 =0.47 hrs

0r

4. 8 / 10.2 = 0.47 hrs

 Therefore the time taken for the object to travel =  0.47 hrs

ANSWER PLEASE LIKE FR

Answers

Answer:

63 grams

Step-by-step explanation:

42*4+Δ = 42+ 3*Δ

168 +Δ = 42 +3Δ subtract a triangle from both sides

168+Δ-Δ=42+3Δ-Δ

168 = 42 +2Δsubtract 42 from both sides

168-42 = 2Δ

126 = 2Δ divide both sides by 2

63 = Δ

are the triangles congruent? if they are, state how they are congruent.

Answers

Answer: Yes

Step-by-step explanation: by SAS

Answer:

Step-by-step explanation:

ASA postulate of congruence.

Use the inequality below to find the value of r .
150 - 5 r ≥ 87.5

a. r ≥ 12.5
b. r ≤ 12.5
c. r ≥ -(12.5)
d. r ≤ -(12.5)

Answers

.....the answer is d

write 13.28 as a fraction in the lowest term​

Answers

Answer:

13 wholes and 7/25

Step-by-step explanation:

write 28 over 100 and just simplify but don't forget 13

Queue really good summer time happy feeling good memories music

Answers

Answer:

u want recommendations?

Step-by-step explanation:

Answer:

Watermelon Sugar

Which expression is equivalent to 8/9 divided 3/4?
don't feel like using my brain

Answers

Answer:

32/27

Step-by-step explanation:

The fractional division is draculated as follows:

(a/b) / (c/d) = (a*d) / (b*c)

then:

(8/9) / (3/4) = (8*4) / (9*3) = 32/27

What value of a makes the following equation true?
a−8a=210

Answers

Answer:

a=-30

Step-by-step explanation:

What is Gia's final number if her starting number is 9?
) Gia's final number is
Plaseeeeeeeeee

Answers

Answer:26

Step-by-step explanation:

Gia's final number, if her starting number is 9 is 22

How to determine Gia's final number?

The rule of Gia's number is given as:

y = 2x + 4

Where x represents the starting number and y represents the final number.

Substitute 9 for x in y = 2x + 4

y = 2 * 9 + 4

Evaluate

y = 22

Hence, Gia's final number is 22

Read more about equations at:

https://brainly.com/question/4025726

#SPJ2

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). Find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

Answers

Answer:

0.1827

Step-by-step explanation:

Given mean of exponential distribution = 100

==> 1/χ = 100  ==> χ = 1/100 ==> χ = 0.01

PDF of χ , f(x) = χe^(-χx), x ≥ 0

===> f(x) = 0.01e^(-0.01x), x ≥ 0

Now we find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day

P(X>170) = ∞∫170 f(x)dx

P(X>170) = ∞∫170 0.01 e^(0.01x) dx

P(X>170) = [e^(-0.01x) / -0.01]^∞  base 170

P(X>170) = -1 [e^-∞  - e^-0.01*170]

P(X>170) = e^-1.7

P(X>170) = 0.1827

The probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day is 0.1827

What is 11/12 divided by 1/3

Answers

Answer:

Step-by-step explanation:

11/12 ÷ 1/3 = 2 3/4, or 11/2 as a improper fraction

hope this helps

Answer:

11/12 divided by 1/3 is the same as 11/12 * 3/1, which is 33/12.

Step-by-step explanation:

I NEED HELP WITH B AND E​

Answers

B is 100 but I’m not that sure of what e is sorry!

HELP!!!!
What is the result when the number 80 is decreased by 8%?

Answers

Answer:

79.92

Step-by-step explanation:

Step-by-step explanation:

80 decreased by 8% means;

80 - (8/100 × 80) = 80 - (0.8 × 8)

= 80 - 4.8 = 75.2

Selecting which is the digit six is 10 times the value of the digit six in 3.161

Answers

Step-by-step explanation:

All the answers which apply are D and F

Answer:

I think it is d but I am now overthinking it so don't put too much trust in that

#2 which table describes a function ??

Answers

Answer:

H.

Step-by-step explanation:

A function can only have one y-output per x-input (However, it is ok for one y-output to have multiple x-inputs). The only table that doesn't contain two y-outputs for one x-input is H.

The first term of a sequence is 18, and the fifth term is 54. What is the common difference between each two consecutive terms? 36 27 18 9
Will give brainliest

Answers

Answer:

9

Step-by-step explanation:

Sorry to lazy to type

Calculation is up

Answer:

The answer to your question will be 9, sorry that im late!

Step-by-step explanation:

Justin played video games for the following amount of time this past week 42 mins, 35 mins, 28 mins, 55 mins, and 57 mins what was the median amount of time justin played video games this past week

Answers

Answer:

42 minutes

Step-by-step explanation:

Put all numbers in order then cross out a number from each side until you reach the middle.

28, 35, 42, 55, 57

/ 35, 42, 55 /

/ / 42 / /

Answer:

3 hours and 37 minutes

Step-by-step explanation:

42+35+28+55+57=217

217/60=3.61666.....

217-60-60-60=37

Cuales son los gráficos que nos permiten analizar el movimiento rectilíneo

Answers

Step-by-step explanation:

Un modo de describir y estudiar los movimientos es mediante gráficas que representan distancia-tiempo (distancia en función del tiempo), velocidad-tiempo (velocidad en función del tiempo) y aceleración-tiempo (aceleración en función del tiempo).

David's Parents have a sandwich shop. They sell sandwiches for $5 each and
bottles of water for $1 each. The owners, David's Parents, need to earn a total of
$100 by the end of the day.
a) Write a linear equation that describes the problem
b) What are the slope and the y-intercept and what do they represent?
c) Graph the linear equation the shop's revenue. Make sure to label both axes with
appropriate titles.
d) Then use the graph to determine how many sandwiches the shop must sell if no
waters are sold.

Answers

Answer:

d is answer have a great day

What is the equation of the line in slope - intercept form ?Enter your answer in the boxes PLEASE HELP!

Answers

Answer: y= 3/5x+

Steps shown in image:

i need help answering this

Answers

It seems pretty basic just choose a career from what ever website they have hyperlinked like if u say veterinarian u would make a median amount of 88,450 US dollars

IM DUMB HELP ME WAAAAAAAAA

Answers

Answer:

Sales tax (6.5% of Subtotal) would be

The total amount comes out to

Step-by-step explanation:

The first step is to add the sales tax percentage to the gratuity percentage. In this example, that would equal 24.5%. Next, we must divide the sum of the sales tax percent and the gratuity percent by 100 to convert to a decimal. So, 24.5% divided by 500 comes out to 0.245. Then, multiply the result by the amount of the bill to find what the sales tax and gratuity add to the bill. However, we do not have the bill amount given, so we must figure that out. In order to do this,

fred can complete a work in 6 days and Paul can complete a work in 3 days. if fred and Paul work together, how many days can the work be completed?​

Answers

Answer:

I think its 3 or 2 days bc if paul can get two works done by the time fred can get one done then the days should be divided.

Step-by-step explanation:

Joe has 6 marbles. Joe and Kay have 11 marbles. Kay and Sara have 7 marbles. How many marbles does Sara have?

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Joe = 6

J + K = 11

Kay = 5

K + S = 7

Sara = 2

Are these two triangles congruent? Use tracing paper to justify your answer

Answers

Answer:

no

Step-by-step explanation:

Answer:

Where's the pic shorty

Step-by-step explanation:

????????

Question 1
2 (4x - 1) + 6
Equivalent to what

Answers

Answer:

2 (4x - 1) + 6 = 8x + 4 = 4(2x+1)

Step-by-step explanation:

2 (4x - 1) + 6

= (2*4x + 2*-1) + 6

= 8x - 2 + 6

= 8x + 4

= 4/(2x+1)

Answer:

4(2x+1)

Step-by-step explanation:

First, factor it out:

2(4x-1+3)

Then calculate:

2(4x+2)

Factor out 2:

2 • 2(2x+1)

Then finally multiply:

4(2x+1)

Given: log 5=a, log 3=b, log 2=c. Find: log30 8

Answers

Answer:

log 30 = abc

Step-by-step explanation:

Given:

log 5 = a

log 3 = b

log 2 = c

Find:

log 30

Computation:

log a + log b + log c = log abc

log 5 + log 3 + log 2 = log 30

log 30 = (a)(b)(c)

log 30 = abc

Can a triangle be drawn with side lengths 8.4 inches, 9.2 inches, and 17 inches?

Answers

Answer:

yes

Step-by-step explanation:

based on the triangle inequality theorem, add the two smallest numbers together (8.4,9.2) to get 17.6 which is bigger than 17

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