Suppose the sample space for a continuous random variable is 0 to 100. If the area under the density curve for the variable from 0 to 20 is 0.15, what is the area under the density curve from 20 to 100?

Answers

Answer 1

The solution is, 0.85 is the area under the density curve from 20 to 100.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

Suppose the sample space for a continuous random variable is 0 to 100. If the area under the density curve for the variable from 0 to 20 is 0.15

The area under the density curves for the continuous random variables always add up to unity.

Thus, the area under the density curve from 20 to 100 is ;

1 - 0.15

which is;

1 - 0.15

= 0.85

Hence, The solution is, 0.85 is the area under the density curve from 20 to 100.

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Related Questions

Answer? I’m confused

Answers

The answer is B;
5m + 10

You solve this my using distributive property

Step 1:
Break it apart

5(m) + 5(2)

Step 2:
Use order of operations to solve the rest

5m + 10

What is the Lcm of 168?

Answers

Answer:

6

Step-by-step explanation:

4/10 times (7/8+9/4) 5/7​

Answers

Answer: simplified down to 25/28 or 0.89 / / 0.9 rounded up

4.
Peppa has a carton with a dozen eggs in it. 6 eggs are brown.
The rest are white. What fraction of her eggs are white?

Answers

Answer:

6/12 or 1/2

Step-by-step explanation:

there ya go i think its right

Use the table. Make a scatter plot relating the distance of various cities from the metro area to the population of the cities. SOMEONE HELP ASAP ILL GIVE BRAINLIEST

Answers

Answer:

Option (A)

Step-by-step explanation:

From the table attached,

Independent variable 'x' is will be represented by the distance from Metro area.

Similarly, dependent variable 'y' will be on y-axis.

Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).

Set of ordered pairs to be plotted,

[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]

Therefore, graph given in Option (A) will be the answer.

Can someone please explain I’ll mark brainlest

Answers

Answer:

TriangleJXP = Triangle HCD

Side XJ = side HC

Side CD = side JP

Side PX = HD

Step-by-step explanation:

Looking at both of the triangles you use the lines on “top” of the side. These lines represent congruence meaning that they are similar to each other.

So looking at side JP u can see that there are two lines meaning that this is the second side that is congruent to another side, side CD.

Hope this helps.

Find the area of the composite figure below.
find the area of the composite figure below 4 ft
4 ft
10 ft
4 ft
4 ft

Answers

Answer:

112

Step-by-step explanation:

srry. i meant to put 112 erlier

Please show your work for this question

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]4 \times {9}^{2x} = 42[/tex]

Divide sides by 4

[tex] \frac{4 \times {9}^{2x} }{4} = \frac{42}{4} \\ [/tex]

[tex] {9}^{2x} = \frac{2 \times 21}{2 \times 2} \\ [/tex]

[tex] {9}^{2x} = \frac{21}{2} \\ [/tex]

[tex]( { {9}^{2} })^{x} = \frac{21}{2} \\ [/tex]

[tex]x = log_{ {9}^{2} }( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2} log_{9}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2} log_{ {3}^{2} }( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2 \times 2} log_{3}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{4} log_{3}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(21) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(3 \times 7) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(3) + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: 1 + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]

And we're done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The coefficients corresponding to k=0,1,2, ...,6 in the expansion of (x + y)^6 are ___.

A. 0, 1, 6, 15, 15, 6, 1, 0

B. 1, 6, 15, 20, 15, 6, 1

C. 0, 6, 15, 20, 15, 6, 0

D. 1, 6, 15, 15, 6, 1

Answers

Answer:b

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

whats the slope of the line y-9=15 x-5

Answers

The correct slope is 15:)

Answer:

Slope= 15

Hope this helps! :)

Which of Earth’s spheres encompasses all of
Earth’s water?
a. the hydrosphere
b. the atmosphere
c. the asthenosphere
d. the geosphere

Answers

Answer:

The answer is A.

Step-by-step explanation:

All of earths bodies of water including groundwater. the hydrosphere also includes the cryosphere, which is made up of the worlds ice sheets and sea ice.

Answer:

a. the hydrosphere

Step-by-step explanation:

hydro means water

The pair figures are similar.find the missing side

Answers

Answer:

C. x=3

Step-by-step explanation:

Because the sides are proportionate to each other

Side 3 is 3x the length of Side 1

Therefore,

Side 9 is also 3x the length of side X

3x=9

Divide both by 3

and X will be 3.

what would be the slope intercept form?​

Answers

Answer:

y=7/2x-4

Step-by-step explanation:

Slope-intercept form is written y=mx+b. M stands for slope, x stays as x, and b is the y-intercept. If we plug in the numbers we have, the equation becomes...

y=7/2x-4

I hope this helps you out!! The equation is actually pretty simple once you get used to it. Have a nice day ヾ(•ω•`)o

If 1/4 fourth is ordered within the list of numbers 2/3 thirds, 1.75 and −0.75, between which two numbers would it be placed?

Answers

Answer:

Between -0.75 and 2/3 thirds.

Step-by-step explanation:

Given that:

A list of three numbers.

2/3 thirds, 1.75 and −0.75

Let us convert them all in decimal points.

0.67, 1.75 and -0.75.

Now, let us sort them in the ascending order.

-0.75, 0.67, 1.75

Looking at the given number to be placed: [tex]\frac{1}{4}[/tex] which is equal to 0.25

Now, let us place them on a number line.

We can clearly see that the given number will be between -0.75 and 2/3 thirds.

Kindly have a look at the answer area for the attached image containing the number line for the list of numbers and the given number.


A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.

Answers

Answer:

Width of rectangular piece = x = 8 inches

Step-by-step explanation:

Perimeter of rectangular piece = 62 inches

Let width of rectangular piece= x

and length of rectangular piece = x+15

We need to find width i.e value of x

The formula used for perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]

Putting values in formula and finding Width:

[tex]Perimeter=2(Length+Width)\\\\62=2(x+x+15)\\62=2(2x+15)\\62=4x+30\\62-30=4x\\4x=32\\x=\frac{32}{4}\\x=8[/tex]

After solving we get value of x = 8

So, Width of rectangular piece = x = 8 inches

THESE 2 QUESTIONS ASAP PLS! BRAINLIEST!!

Answers

Answer:

1=y=4x+-2        2=y=4x-3

Step-by-step explanation:

caculate the diffrence of 13.9-1.149

Answers

Answer:

12.751

Step-by-step explanation:

13.9 - 1.149

--Subtract--

Answer:

12.751

Step-by-step explanation:

Just do subtraction.

Given that for all values of x,
f(x) = 3x + p
g(x) = px + 4
and fg(x) = 6x + 9
where p and q are constants.
Work out the values of p and q.

Answers

Question, where is q in the equations? Do you mean x?

The value of p is 2.

The value of q is 14

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Two functions:

f(x) = 3x + p

g(x) = px + 4

Now,

f(g(x)) = 6x + 9

This means,

3(g(x)) + p = 6x + q

Substituting g(x) = px + 4.

3(px + 4) + p = 6x + q

3px + 12 + p = 6x + q

3px + (p - q) = 6x - 12

This means,

3p = 6

p = 2

p - q = -12

2 - q = -12

q = 2 + 12

q = 14

Thus,

p is 2 and q is 14.

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Help!!! I need the answer!!

Answers

Answer:

Step-by-step explanation:

3/4a>-16=

a >- 64/3 or -21  1/3

The cost of printing 200 business cards is $23. The cost of printing 500 business cards is $35. What linear equation that could be used to solve this problem?​

Answers

There’s no question?

What is the slope of the line?

Answers

Answer:

-1/2.

Change in y above change in x (don't mix that up)

The first coordinate is 3,-2 the second is 2,-4.

The change is x was -1 . (2-3)

The change in y was 2. (-4-(-2))

In Triangle DEF, the sum of the measures of Angle D and Angle E is 110. The sum of the measures of Angle E and Angle F is 150. Find the sum of the measures of Angle D and F.​

Answers

The required sum of the measures of angles D and F is 260 degrees.

Let's represent the measures of angles D, E, and F as D, E, and F, respectively.

From the given information, we have the following equations:

D + E = 110 (The sum of the measures of angles D and E is 110)

E + F = 150 (The sum of the measures of angles E and F is 150)

Now, we want to find the sum of the measures of angles D and F, which is D + F.

To find D + F, we need to eliminate E from the equations. We can do this by adding equations (1) and (2):

(D + E) + (E + F) = 110 + 150

Now, the E terms cancel out:

D + F = 260

So, the sum of the measures of angles D and F is 260 degrees.

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Plz help me with math again am so bad at it

Answers

Answer:

B and E

Step-by-step explanation:

9 power 3 is volume

9 x 9 x 9 is volume

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

What is the opposite integer of –(–7)?

Answers

-7

-(-7) is 7 because two negative signs result in a positive. The opposite integer of 7 is -7

What is the less of side a? Round to the nearest tenth of an inch.

Answers

Answer:

About 14 in the exact value is 14.38 smthn

Which has a slope of -2?

Answers

Answer:

The answer would be line be because it goes down 2 and forward one.

524800 in scientific notation?

Answers

Answer:

5.248 x 10^5

Step-by-step explanation:

there should be one digit and then however many decimals after. the exponent is positive because the original number is larger than one's digit.

Write a sentence to answer each question:

a) How much warmer is 82 than 40?

b) How much warmer is 82 than -40?

Answers

Answer: a

Step-by-step explanation:

82 is 122 degrees warmer than -40

82° is warmer by 42°. 82° is than -40° by 122°.
hope this works ⭐️

What is the top one :(

Answers

Answer:

All answer below

Step-by-step explanation:

Equation of the Line

The standard form of the equation of a line is shown below:

Ax+By=C

And the slope-intercept form is:

y = mx + b

Where m is the slope and b is the y-intercept.

If we wanted to convert from the first form to the second we will perform the following operations:

Subtract Ax:

By = -Ax + C

Divide by B:

y = -A/Bx+C/B

The coefficient of x is -A/B (fill the blank with that text) and the y-intercept is C/B (again, fill in the blank)

The slope m is the coefficient of x, m=-A/B and it can be found it you divide the opposite of A by B. The selected option is correct.

The y-intercept is the division of C by B. Again, the selected option is correct.

Select the equation which represents the graph.
Question 1 options:

A: y − 3 = 3/2(x − 4)

B: y − 3 = 2/3(x − 4)

C: y − 3 =− 2/3(x − 4)

D: y − 3 = −3/2(x − 4)

Answers

Answer:

B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]

Step-by-step explanation:

We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.

Let's find slope using the two points (4, 3) and (-2, -1).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]

Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].

The equation that represents the graph would be:

✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],

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