Which statement about the graphs is true? NEED HELP!
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Which Statement About The Graphs Is True? NEED HELP!Graph A Is A Valid Density Curve Because The Part
Which Statement About The Graphs Is True? NEED HELP!Graph A Is A Valid Density Curve Because The Part

Answers

Answer 1

Answer:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

Step-by-step explanation:

A density curve is a graph that shows probability.

There are a few properties that those curves have:

The curves are normalized, which means that the area inside the curve is always equal to 1  (or the 100% of possibilities).

And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.

From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).

Now let's look at graph B.

We can see that all points are above the horizontal axis, so that is good.

Now let's compute the area inside the curve.

We can see two triangles, remember that the area of a triangle of base b and height h is:

A = (b*h)/2

To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.

The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25

Then the area is:

A1 = (2*0.25)/2 = 0.25

The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25

Then the area of this triangle is:

A2 = (6*0.25)/2 = 0.75

If add these areas, we get:

Total area = A1 + A2 = 0.25 + 0.75 = 1

Total area = 1

So we have an area under the curve equal to 1, which means that graph B is a valid density curve.

And the correct option is then:

Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.


Related Questions

The ratio of cyclists to pedestrians on a certain trail was 2 to 7. If there were 27 people on the trail, how many more pedestrians were there than cyclists?​

Answers

Answer:

15 more pedestrians than cyclists

Step-by-step explanation:

2:7 ratio tells us two cyclists for every seven pedestrians so out of every 9 people 2 are cyclists and 7 are pedestrians.

27/9=3

So we have 3 groups of 9...

3×2=6

&

3×7=21

so

6 cyclists and 21 pedestrians

subtract cyclists from pedestrians to find difference...

21-6=15

A shirt costs $20. A pair of pants costs 30% more than the shirts. How much do the pants cost?

Answers

Answer:the pants are 26 dollars

Step-by-step explanation:

20.00+30%= 26.00

30%=6.00

I will mark brainliest

Answers

Answer:

I think that it is positive 650.

Answer:

you got it

Step-by-step explanation:

that is itdescribe your answer to gt i wrie u are doing a test

find the midpoint of the given points
(-8,4),(3,-4)

Answers

Answer:(-2.5,0)

Step-by-step explanation:

MP=(-8+3/2,4+(-4))=(-2.5,0)


Write the linear equation given slope and point.
(-4,-7); slope = 3

Answers

Answer:

Step-by-step explanation:

Use the "point-slope" formula for the equation of a straight line,

y - k = m(x - h)

Here the slope, m, is 3 and the line passes through (h, k):  (-4, -7), so the proper equation in this case is

y - (-7) = 3(x + 4), or:

y + 7 = 3(x + 4).

If you wish you may rewrite this equation in slope-intercept form, as follows:

y = 3x - 7 + 12, or y = 3x + 5

Can someone please help me and tell me the answers

Answers

I hope this helps you

1) x=180-130.2

x=49.8

2) x+71.5=90

x=90-71.5

x=18.5

3) x+54=90

x=90-54

x=36

4) x+35=180

x=180-35

x=145

Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?

Answers

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

please help me . if you dont know the answer please do not answer it​

Answers

Answer:

Option D

Step-by-step explanation:

Type of a polynomial is decided by the maximum degree of the variable.

In the given polynomial [tex]-\frac{2}{3}b^3[/tex], maximum power of the polynomial is 3.

Therefore, given polynomial is a cubic polynomial.

Option D is the correct option.

Find the area of given shape.

Answers

Answer:

124

Step-by-step explanation:

Find area of rectangle

than arrow

then add

Answer:

144

Step-by-step explanation:

GIVING BRAINLIEST!!!!!PLS HELP!!!!!! :((

(28+7+6+3) x 1/2

SHOW UR WORK PLS

Answers

Answer:

22

Step-by-step explanation:

28+7+6+3=44

44/2 or 44*1/2 = 22

28+7+6+3=44
44 x .5= 22

Please help me with this question!!

Answers

Answer:

Step-by-step explanation:

Mabye 7?

Giving brainlist to whoever answers

Answers

Answer:

10 I believe I really hope it helped!

Step-by-step explanation:

Answer:

That's easy! 10 times

Step-by-step explanation:

60 divided by 6 is 10

Is u = 105 a solution to this equation

Answers

Answer:

im sorry what?

Step-by-step explanation:

15 is 9 than j what is j in this question

Answers

Answer:

6

Step-by-step explanation:

15 is 9 more hence you subtract 9 from15

Hope this helps

What is 1/3÷9? hurry!

Answers

Exact Form:

1/27

Decimal Form:

0.037 (with a line over 037)

Challenge How many flowers, spaced every 6 in., are needed to surround a circular garden with a
200-ft radius? Use 3.14 for it.
Williams, Aaily
flowers are needed to surround the circular garden.

Answers

Answer:

1,256 flower

Step-by-step explanation:

First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:

C

=

2

π

r

If we substitute

100

ft

for

r

and use

3.14

to approximate

π

we get a circumference of:

C

=

2

3.14

100

ft

C

=

6.28

100

ft

C

=

628

ft

We can now convert the circumference in feet to inches;

628

ft

×

12

in

1

ft

628

ft

×

12

in

1

ft

628

×

12

in

7536

in

To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:

7536

in

×

1

flower

6

in

7536

in

×

1

flower

6

in

7536

×

1

flower

6

7536

flower

6

1256

flower

You would require 1,256 flowers

2x + 11 = 5
If a and b are the solutions to the equation above, what is the value of |a – b| ?

Answers

Answer:

x = 3

Step-by-step explanation:

2x + 11 = 5

- 11          -11

2x/2         6

x        =     3

A person paid by the hour works 22 hours a week and makes $459. How much would they make if they work 39 hours?

Answers

Answer:

813.681818182

(That's the exact number, but you can circle it to 813.7 )

Step-by-step explanation:

459%22=20.8636363636

20.8636363636 x 39= 813.681818182

Kelly has $100 she received for her birthday She saves $10 each week from doing chores Which function can be used to find t the amount of money Kelly will have saved

Answers

Answer:

$620 every year

Step-by-step explanation:

Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.

Danielle has to walk 2 miles to reach a hidden temple. She has walked 1 1/4 miles, how many more miles does Danielle need to walk to reach the hidden temple.

Answers

Answer:

[tex]\dfrac{3}{4}\ miles[/tex]

Step-by-step explanation:

Total distance to a temple = 2 miles

She has walked 1 1/4 miles or 5/4 miles

More miles to reach the hidden temple = total distance - walked distance

[tex]=2-\dfrac{5}{4}\\\\=\dfrac{8-5}{4}\\\\=\dfrac{3}{4}[/tex]

So, she has to travel [tex]\dfrac{3}{4}[/tex] miles to reach the hidden temple.

any help is appreciated because I have a probe in a couple of hours

I'm wondering if someone could explain to me being thorough with the steps how 1+1/x² could equal
x²+1/x²

where did the second x² come from??? ​

Answers

1+1/x^2 when multiplied by x^2 we get: (x^2+1)/x^2.

What best describes how many real number solutions the equation has?

Answers

Answer:

zero, because the discriminant is negative

Step-by-step explanation:

By writing the quadratic formula, we have the discriminant written in the root as;

b^2-4ac

Now, given the expression, we can see that the discriminant here is -19

What this mean is that we have a negative discriminant

Hence, we can conclude that the roots are complex and as such, none of the roots are real

Somebody please help me plsssss

Answers

Given:

The radius of the cylinder = 2 cm

Height of the cylinder = 5 cm

To find:

The volume of the cylinder.

Solution:

We know that, the volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]r=2,h=5[/tex] in the above formula, we get

[tex]V=\pi (2)^2(5)[/tex]

[tex]V=\pi (4)(5)[/tex]

[tex]V=20\pi [/tex]

Therefore, the volume of the cylinder is [tex]20\pi [/tex] cubic cm and its approximate value is 62.832 cubic cm.

translation math
pls dont give me any link

Answers

Answer: C

Step-by-step explanation:

A population of 120 beetles increases at an annual rate of 30%. How many beetles will there be in 16 years? Write an expression to represent the equivalent monthly population increase rate.

Answers

Answer:

Expression: [tex]120(1.3)^{16}[/tex]

Beetles after 16 years: 7984 beetles

Step-by-step explanation:

Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following

A = P (1 + r/n) (nt)

A = the future amount

P = the initial amount

r = the annual increase rate (decimal)

n = the number of times that interest/increase is compounded per unit t

t = the number of years

Using the values in the question the expression for this scenario would be the following

120(1 + (0.30 / 1))^(1*16)

[tex]120(1.3)^{16}[/tex]

7984.99

A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =​

Answers

Answer:

4/7 (I may be wrong)

Step-by-step explanation:

There are 7 numbers, of which 4 are even. This could be %100 wrong/right.

What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
A. 660 cm2
B. 652 cm2
C. 326 cm2
D. 432 cm2

Answers

D or A I guess I am not 100% sure I am 20% sure I don’t really know I guess is D If is wrong maybe is A

Answer:

The answer is b I searched it on goggle and did the math.

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest. Need answer and explaination/work. Thank you.

Answers

Answer:

Yes, quadrilateral MATH is a rectangle.

Step-by-step explanation:

If you plot the coordinates onto a graph, you will get a rectangle. You can determine it is a rectangle because there are four right angles, and two adjacent sides that are equal in length.

M (-4,-1)

A (-3,2)

T (3,0)

H (2,-3)

Josea went out to dinner at an Indian restaurant. The
total bill was $38. She wanted to leave a 15% tip.
If you use the idea of scaling to find the tip amount,
what would she need to multiply by?

Answers

She will give 43.70




H

can someone please help me with this?

Answers

Answer:

25 so C

Step-by-step explanation:

Other Questions
A zookeeper predicted the weight of a new baby elephant to be 232 pounds when it was born. The elephant actually weighed 264 pounds at birth. What was the percent error of the zookeeper's prediction? salivary amylase and other enzymes in saliva by regina bailey, thoughtco, adapted by newsela staff on 10.17.19 word count 446 level max Please help me solve I will mark as brainliest What is the one method by which federal judges can be removed from office? list the data in the following stem-and-leaf plot. the leaf represents the tenths digit. ______ changes as the output of the firm changes. algebra 1-The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. Determine how many children and adults attended? each product may be sold at the split-off point or processed further. what is the minimum amount the company should accept What is so special about Taj Mahal? This year, a small business had a total revenue of $16,500. If this is 34% less than their total revenue the previous year, what was their total revenue the previous year? rosia viewed life as fluid. she expected change and accepted it as inevitable. when rosia was faced with a problem, she identified it and decided what to do about it. rosia used a(n) coping strategy. holistic relaxation-centered problem-centered emotion-centered Keyshawn is asked to compare and contrast the domain and range of two functions F(x)=5x g(x)=5^x which statements could he include in his explanation According to the dependency model, what historical, social and economiccircumstances led to the current unequal world system? A nurse si reviewing the dietary choices od an adolescent who has iron deficiency anemia. The nurse should identify that which of the following menu items has the highest amount ofnonheme iron?a. cup whole milk Whole milk does not contain the highest amount of nonheme iron, it doescontain high amounts of calcium.b. 1 cup orange juice- Orange juice does not contain the highest amount of nonheme iron.c. However, it does contain absorbic acid, which increases the amount of nonheme iron absorbedby the body. cup raisins d. The nurse should encourage the adolescent to eat rasisns because they containthe highest amount of nonheme iron Due to the action of tears, potential pathogens of the eyes and its membranes usually end up where?the skinthe lungsthe stomachthe bloodstream develop an argument that evaluates the extent to which enlightenment ideas led to the america and french revolutions Everyday EnglishFill in: Would you like - That comes to - Haveyou got - What can I.1 A:get you?B: An orange juice, please.2 A:.........to order?B: Yes, please. I'll have an omelette.3 A:.....4.70, please.B: Here you are.4 A:........ any apple pie?B: No, but we've just made a chocolatecake. What animals does clover attract? What was the main issue of John Quincy Adams presidency? Lily finds some dimes and quarters in her piggy bank. How much money (in dollars) does she have if she has 5 dimes and 12 quarters? How much money (in dollars) does she have if she has x dimes and y quarters?