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

1
The middle school girl's basketball team has
9 seventh-grade students and 5 sixth-grade
students. What is the ratio of sixth-grade
students to seventh-grade students on the
team?

Answers

Answer:

ratioed by ur name

Step-by-step explanation:

can someone help me with this?

Answers

Answer:haha no

Step-by-step explanation:

Solve for the values of x and y

Answers

                       SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side x=26 units

Step-by-step explanation:

The Pythagorean theorem states

[tex]\:a^2\:+\:b^2\:=\:x^2[/tex]

We will use the Pythagorean Theorem to solve for the missing side length.

[tex]24^2\:+\:10^2\:=\:x^2[/tex]

switch both sides

[tex]x^2=24^2+10^2[/tex]

[tex]x^2=576+100[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{676},\:x=-\sqrt{676}[/tex]

[tex]x=26,\:x=-26[/tex]

As x can not be negative.

Therefore, the value of the missing length of the side x=26 units

                          SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side y=15 units

Step-by-step explanation:

Considering the right-sided right triangle

The Pythagorean theorem states

[tex]a^2\:+\:b^2\:=\:c2[/tex]

We will use the Pythagorean Theorem to solve for the missing side length.

[tex]15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2[/tex]

[tex]225+y^2=450[/tex]    ∵ [tex]\left(15\sqrt{2}\right)^2=450[/tex]

[tex]y^2=225[/tex]

[tex]y=\sqrt{225},\:y=-\sqrt{225}[/tex]

[tex]y=15,\:y=-15[/tex]

As y can not be negative.

Therefore, the value of the missing length of the side y=15 units




Rearrange the formula to solve for the cost of goods sold (C).

Answers

Answer:

Cost of goods sold = Opening inventory + Purchase - closing inventory

Step-by-step explanation:

Cost of goods sold = Opening inventory + Purchase - closing inventory

Cost of goods sold = Sales - gross profit

Cost of goods sold = Revenue – Net Income – Expenses

A city is approximately circular with a radius of 10.6 miles. Approximately 90,000 people live there. What is the population density of this city?

Answers

Answer:

513 people per square mile

Step-by-step explanation:

because

Use absolute value to express the distance between 10 and −4.

Answers

Answer:14

Step-by-step explanation: absolute value will always be a positive number. 10 away from 0 is 10. -4 from 0 is still 4. Add them together and you have 14

The degree of the expression 4x5ymz is 10. What is the value of m?

Answers

Answer:

the answer is 4

Step-by-step explanation:

A giant right triangular sculpture has two legs with lengths 20 meters and 40 meters. What is the measure of the smallest angle in this sculpture? Round your answer to the nearest degree.
15°
27°
30°
43°

Answers

Answer:

we have the same question

Step-by-step explanation:

please tell me what you got when you receive an answer

Answer:

30 degrees

Step-by-step explanation:

we need to compute angle A and angle B (see figure below)

hence,

[tex]cosA=\frac{20}{40}\\ cosA=\frac{1}{2}[/tex]

this implies that A=60 degrees.

Since interior angles of a triangle add up 180 then,

A+B+90=180

60+B+90=180

B+150=180

B=180-150

B=30 degrees

which is the smallest angle

What are the answers and explain

Answers

Answer:

Step-by-step explanation:

answers to what

?ummm can you rephrase this because I don’t understand

Find the slope of (5,-5) and (-4,5)

Answers

Answer:

Slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]

Step-by-step explanation:

We need to find the slope of points (5,-5) and (-4,5)

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=5, y_1=-5, x_2=-4 \ and \ y=5[/tex]

Putting values in formula and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}[/tex]

So, slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]

If the average price of a new one-family home is $246,300 with a standard deviation of $15,000, find the minimum and maximum prices of the houses that a contractor will build to satisfy the middle 60% of the market. Assume that the variable is normally distributed.

Answers

Answer:

Step-by-step explanation:

P(-a<z<a)=0.60, from the symmetry of normal distribution, P(z<a) = 0.60+ (1-0.60)/2 =

0.60+0.4/2

0.60+0.2

= 0.8

Considering the standard normal distribution table, we have a = 0.80, thus

z =(x-m)/std = 0.80

the maximum x = m + 0.80×std =

Where m = 246300

Std = 15000

246300+0.80×15000

= 246300+12000

= 258300

For the minimum x

x = m - 0.80×std

x = 246300-0.80×15000

246300-12000

= 234300

Why is the distributive property important in solving equations?

Answers

Distributive property allows us to simplify equations and make it easier to simplify unknown variables

Answer:

it helps simplify difficult problems . it breaks down expressions into the difference or the sum

of two numbers.

Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the treadmill and 9 calories per minute on the bike. She wants to ride the bike 2.5 times as long as she runs on the treadmill and burn a total of 580 calories. The system of equations below can be used to find the number of minutes, t, she should run on the treadmill and the number of minutes, b, she should ride the bike.


According to this system of equations, can Leanne meet both her goals?

A.
Yes, she can run on the treadmill for 15 minutes 28 seconds.

B.
No, she cannot ride the exercise bike a negative number of minutes.

C.
Yes, she can ride the exercise bike for 15 minutes 28 seconds.

D.
No, she cannot run on the treadmill for a fractional number of minutes.

Answers

Answer: C

Step-by-step explanation:

step 1: I

step 2: just

step 3: took

step 4: it

final answer: i took the test and got a 100 so its definitely C.

<3

Which term describes the figure? Please help

Answers

Answer:

C . None of these

Is the answer.

Step-by-step explanation:

Because parallel lines do not intersect.

And perpendicular lines form angle of 90°.

Answer:

None of the above.

Step-by-step explanation:

Those lines are intersecting lines. Parallel lines face each other and never meet. Perpendicular lines do meet, but they form a 90 degree angle, which this doesn't. Intersecting lines meet, but don't form a 90 degree angle.

Hope this helps!

PLEASE SOMEONE I NEED IT ASAP DUE AT 6:30!!!
Someone please....
Please define the following terms:

mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.

Answers

Answer:

Mercantilism - trading or selling various of goods or products for commission

import - to bring goods in form another source/place

export - send goods to another coutry for money or other items

enumerated article - english colonies could export only to England in the 17th century were sugar, tobacco, cotton and indigo (types of goods)

Navigation Acts - An act that allowed ONLY english ships to bring goods into England, and let north American export their items to England

Dominion of New England - A bunch of England colonies made by king James II of England in 1686 used to tighten British administration of their colonies.

English Bill of Rights - A act that was signed by the law used to ultimately give the parliament power over the monarchy  

The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.
• 18 students voted for chocolate.
• 12 students voted for strawberry.
20 students voted for vanilla.
What percentage of the students chose chocolate as their favorite ice-cream flavor?

Answers

Answer:36%

Step-by-step  have 12+18+20 which equals 50 and 18 out of 50 is 36%

The percentage of the students who chose chocolate as their favorite ice cream flavor will be 36%

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, there are  18 students voted for chocolate,12 students voted for strawberry and 20 students voted for vanilla.

The total number of students = 18+12+20 = 50

A percentage of the students chose chocolate as their favorite ice cream flavor is,

%choclate = (Number of students voted for chocolate / Total student)×100

%choclate =(18/50)×100

%choclate =36%

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ6

A high school marching band has 12 flute players. If 8% of the band members play the flute, then how many members are in the entire band?​

Answers

Answer:

It is 150 players

Step-by-step explanation:

You just cross multiply and divide.

8. 12

---- = -----

100. x

12×100 = 1,200

1,200 ÷ 8 = 150

Hope this helps!

When the following quadratic equation is written in standard form, what is the value of "c"?

Answers

Answer:

it's 2

Step-by-step explanation:

a= -3/4

b=0

c=2

48% = StartFraction 48 Over 100 EndFraction = StartFraction a Over 25 EndFraction

a =

Answers

Answer:

12 over 25

Step-by-step explanation:

48 over 100 = 12 over 25

deduct 18.729 from the sum of 29.178 and 9.65​

Answers

Answer:

Step-by-step explanation:

the sum of 29.178 and 9.65

29.178

+ 9.650

= 38.828

Sum =38.828

Deduct 18.729 from the sum

38.828

-. 18.729

=20.099

So the answer is 20.099

20.099 .

i think so, hope this helps

A friend gives you two baseball cards for your birthday. Afterward you begin collecting them. You buy the same number of cards once each week. The equation y=4x +2 describes the number of cards ,y, you have after x weeks.

Answers

Answer: x and y have the same absolute value. Also, x is a positive number, and y is a negative number.

Step-by-step explanation:

Answer:

The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding  2 cards each week.

Step-by-step explanation:

Given the equation which describes the number of cards, y, you have after x weeks: y=2x+4

Comparing this with the slope intercept form of the equation of the line: y=mx+b, where:

m is the slope

b is the y-intercept.

We have that:

Slope, m=2.

A slope of 2 indicates that you buy 2 cards per week.

The y-intercept of the line, b=4.

This is the starting value. In this case, it represents the number of cards you were given by your friend.

The slope is 2, while the y-intercept is 4. This equation represents starting with  4 cards and adding  2 cards each week.

Standardization of Normal Distribution is the process of

Answers

Answer:

Step-by-step explanation:

Standardizing a normal distribution is to convert a normal distribution to the standard normal distribution. In real-world applications, a continuous random variable may have a normal distribution with a value of the mean that is different from 0 and a value of the standard deviation that is different from 1.

If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct the equation for g(x)

Answers

Answer:

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

Hope this helps :P

In the diagram below, triangle A is similar to triangle B. What is the value of n?
In the diagram below, triangle A is similar to triangle B. What is the value of n?

Answers

Answer:

n = 2

Step-by-step explanation:

Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.

Thus:

[tex] \frac{10}{n + 2} = \frac{6}{3} [/tex]

[tex] \frac{10}{n + 2} = 2 [/tex]

Multiply both sides by (n + 2)

[tex] \frac{10}{n + 2}(n + 2) = 2(n + 2) [/tex]

[tex] 10 = 2n + 4 [/tex]

Subtract 4 from each side

[tex] 10 - 4 = 2n + 4 - 4 [/tex]

[tex] 6 = 2n [/tex]

Divide both sides by 2

[tex] \frac{6}{2} = \frac{2n}{2} [/tex]

[tex] 3 = n [/tex]

n = 2

There are 18 girls and 24 boys who want to participate in a trivia challenge. If each team must have the same ratio of girls and boys, what is the greatest number of teams that can enter? Find how many boys and girls each team would have.

Answers

Answer:

4 team could enter  5 people in each team

Step-by-step explanation:

there will be 6 teams, each team having 3 girls and 4 boys

Step-by-step explanation:

6*3=18

6*4=24

Help!!!! I don't get this!!!!!!

Answers

Answer:

C

Step-by-step explanation:

One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16,   the amount of ounces in one pound.

It’s C

Because if you see you I searched it up and it said that the answer was C simple

Find the area of the parallelogram.

Answers

Answer:

Step-by-step explanation:

Area of parallelogram = base * height

                                    = 3 * 3

                                    = 9 square units

What are the zeros of the function? h(t)=(t -4)(t+8)

Answers

Find when h(t) = 0
0 = (t-4) (t+8)
t = 4, t = -8

Answer:

4 and -8

Step-by-step explanation:

Anything multiplied by 0 is 0. So we just need to find values of t which will give you a 0 by setting them equal to 0

[tex]t - 4 = 0\\\\t = 4\\\\t + 8 = 0\\\\t = -8[/tex]

Which shows the best estimate of the quotient of 4,346 +82?
between 50 and 60
between 60 and 70
between 500 and 600
between 600 and 700

Answers

Answer:

between 500 to 600 because I like

Express decimal as a fraction 8.25

Answers

Answer:

33/4

Step-by-step explanation:

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