PLEASE HELP 20 POINTS
Stephen and Chelsea want to increase the volume of this prism by 72 cubic centimeters. Chelsea wants to add eight layers, and Stephen says they only need to add four layers. Their teacher tells them they are both correct. Explain how this is possible.

Answer: See the diagram below

There are infinitely many ways to do this. So there isn't one set answer. However, all of the answers have these properties in common.

In the diagram below, I've made distribution B wider and more spread out compared to distribution A. Distribution B has a higher standard deviation. The larger the standard deviation is, the more spread out the data values will be. Standard deviation is always some positive number.

Both distributions are centered at 0, which is the mean. You could change the center to whatever you want, but make sure both distributions have this same center value.

As the diagram shows, each curve is symmetric about the center point. The left half can be reflected over the center line to get the right half, and vice versa. The curves peak at the center because this is where the majority of the data values are located. As you move to either end, the curve levels off to indicate not as many individuals are found here.

Answer:

a) 0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

b) 0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

c) 0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

d) 0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.

Step-by-step explanation:

We have only the mean, which means that we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

You find that you receive on average about 3 pieces of junk mail per week.

This means that [tex]\mu = 3[/tex]

(a) none at all.

This is P(X = 0).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

(b) exactly four.

This is P(X = 4).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]

0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

(c) no more than two.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]

[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.224[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0498 + 0.1494 + 0.224 = 0.4232[/tex]

0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

(d) more than two

[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.4232 = 0.5768[/tex]

0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.

Answer: 32, 25, and 13 are possible side lengths.

Step-by-step explanation:

The lengths of any two sides of a triangle must sum up to more than the length of the third side.

15 + 27 = 42

42 = 42

The sum has to be MORE than the third side.

15 + 27 = 42

42 > 11

15 + 11 = 26

26 < 27

The sum of two sides can't be LESS than the third side.

15 + 27 = 42

42 > 32

15 + 32 = 47

47 > 27

27 + 32 = 59

59 > 15

Possible Side Length!

15 + 27 = 42

42 < 45

Can't be less

15 + 27 = 42

42 > 25

15 + 25 = 40

40 > 27

27 + 25 = 52

52 > 15

Possible Side Length!

15 + 27 = 42

42 > 13

15 + 13 = 28

28 > 27

27 + 13 = 40

40 > 15

Possible Side Length!

Answer:

13

Step-by-step explanation:

Divide the total amount he paid by the amount of mugs he bought to find out how much each mug cost.

54 ÷ 6 = $9

Each mug is nine dollars, INCLUDING THE SALE which is $4 off.

Add $4 to $9 to find the regular price

$4 + $9 = 13

The regular price of the mugs based on the given equation will be $13.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

Suppose the regular price is x.

Selling price = $4 off of x = x - 4

Number of mugs buys = 6

Paid = $54

54= 6 (x - 4)

(x - 4) = 9

x = 13

Hence "The regular price of the mugs based on the given equation will be $13".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

6 square inches

Step-by-step explanation:

4x3=12

12/2=6

Answer:

It's 12 from what I can remember on finding the area.

Step-by-step explanation:

I'm pretty sure that you add them all together and don't quote me on this but if you add 5 and 4 you get 9 then add 3 and you get 12. Hope this helped!

Answer:

Trapezoid, E, is the correct answer.

Answer:

C

Step-by-step explanation:

5x-4=15

5x=15+4

5x=19

Answer:

8

Step-by-step explanation:

0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;

1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';

2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;

3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);

4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);

5) if t=3/(v-5) and t=13/(v+5), then

[tex]\frac{3}{v-5} =\frac{13}{v+5}; \ => \ v=8.[/tex]

Answer:

15 minutes it what we call it pretty sure its 10

Step-by-step explanation:

Answer:

15min or a quarter of an hour.

Step-by-step explanation:

Answer:

the third angle of the triangle is 62°

62 grad

Step-by-step explanation:

Answer:y=x+0

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

5/8 which is in simplest form

Answer:

5/8

Step-by-step explanation:

3/8+1/4 = 3/8+2/8 = 5/8

Answer: The system we need to use is:

A = T - 3

A = (2/3)*T

Solving this, we get:

In a bag, there are 9 tangerines and 6 apples.

Step-by-step explanation:

The question seems to be incomplete, by a quick online search i've found the complete question:

"A fruit stand sells bags of apples and tangerines. • Each bag has 3 fewer apples than tangerines. 2 • In each bag, the number of apples is 2/3 the number of tangerines..."

We know that:

A = number of apples in one bag

T = number of tangerines in one bag

We also know that:

"Each bag has 3 fewer apples than tangerines"

This can be written as:

A = T - 3

"In each bag, the number of apples is 2/3 the number of tangerines"

This can be written as:

A = (2/3)*T

Then we have a system of equations:

A = T - 3

A = (2/3)*T

This is the system of equations that can be used to solve for A and T, now let's solve this.

Because A means the same thing in both equations, then we can write:

A = T - 3 = A = (2/3)*T

Then:

T - 3 = (2/3)*T

We can solve this for T.

T - 3 = (2/3)*T

T - (2/3)*T = 3

(1 - 2/3)*T = 3

(1/3)*T = 3

T = 3/(1/3) = 3*3 = 9

This means that in each bag we have 9 tangerines in a bag.

Now we can use any of the two equations in the system to find the value of A.

I will use the first one:

A = T - 3

Now let's replace T by 9, then:

A = 9 - 3 = 6

A = 6

So there are 6 apples in a bag.

Answer:

4

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:divide area by 12.3

i think it is right

Answer:

u= 19 miles

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Given that the area is 116.85 mi² and height= 12.3 mi,

116.85= ½ ×u ×12.3

6.15u= 116.85

u= 116.85 ÷6.15 (÷6.15 on both sides)

u= 19 mi

Answer:

Step-by-step explanation:

Yes

Answer:

it's no

Step-by-step explanation:

6 = 5(2) - 4

7 = -1/2(2) + 8

they don't meet at (2,6)

Answer:

312

Step-by-step explanation:

3/4 × 32 = 24

9 × 32 = 288

288 +24=312

Answer:

a. (3x² - 2x - 5) units²

b. (x² - x) units²

c. (2x² - x - 5) units²

Step-by-step explanation:

a. Area of the frame = L*W

L = (x + 1) units

W = (3x - 5) units

Area of the frame = (x + 1)(3x - 5)

Apply distributive property

x(3x - 5) +1(3x - 5)

3x² - 5x + 3x - 5

Area of the frame = (3x² - 2x - 5) units²

b. Area of the picture = L*W

L = x units

W = (x - 1) units

Area of the picture = x(x - 1)

Apply distributive property

= x² - x

Area of picture = (x² - x) units²

c. Area of the frame that surrounds the picture = area of frame - area of picture

= (3x² - 2x - 5) - (x² - x)

= 3x² - 2x - 5 - x² + x (distributive property)

Add like terms

= 3x² - x² - 2x + x - 5

= 2x² - x - 5

Area of the frame that surrounds the picture = (2x² - x - 5) units²

Answer:

A: 3a + 9: the sum of three times a and nine

C:15b − 10: ten less than the product of fifteen and b

Step-by-step explanation:

I just answer this question in US, and I got C right but choose the wrong answer for A.

These are the right answers.

Answer:

I would probably choose warlock if my computer could handle it ;w;

Answer:

Positive slope- line B

negative y-intercept- line C

slope of 0- line C

Step-by-step explanation:

Positive slope- line B This is because the line is angled upward on the right side

negative y-intercept- line C- the line is below the (0,0) mark

slope of 0- line C This is because the line isn’t angle upward nor downward.

Answer:

The multiplicative inverse of y is [tex]\frac{1}{y}[/tex].

Step-by-step explanation:

Multiplicative inverse implies a value that you would multiply with the given value so as to give 1.

Let the multiplicative inverse of y be represented by a, so that;

a x y = 1

ay = 1

divide both sides by y to have,

a = [tex]\frac{1}{y}[/tex]

Thus, the multiplicative inverse of y is [tex]\frac{1}{y}[/tex].

This is applicable to any given value. Examples:

i. Given 2, the multiplicative inverse is [tex]\frac{1}{2}[/tex].

⇒ 2 x [tex]\frac{1}{2}[/tex] = 1

ii. What is the multiplicative inverse of 5?

The required answer is [tex]\frac{1}{5}[/tex].

Answer: plate tectonics

Step-by-step explanation:Most earthquakes and volcanic eruptions do not strike randomly but occur in specific areas, such as along plate boundaries. One such area is the circum-Pacific Ring of Fire, where the Pacific Plate meets many surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.

Earthquakes

Answer:

a) The line intersects with the circle once.

b) Tangent

Step-by-step explanation:

We are given the following equation for the circle:

[tex]x^2 + y^2 = 36[/tex]

How many times does the line y=-6 intersect with the circle?

We have to find the values of x when [tex]y = -6[/tex]

So

[tex]x^2 + y^2 = 36[/tex]

[tex]x^2 + (-6)^2 = 36[/tex]

[tex]x^2 + 36 = 36[/tex]

[tex]x^2 = 0[/tex]

[tex]x = 0[/tex]

Since the line intersects the circle at one point, it is tangent to the circle.

The line intersects with the circle once.

Delivered price =   $Answer:

Answer:Delivered price=$1,814

Step-by-step explanation

Explanation:

List Price = $4,000

Trade  discount = 55%

Price after discount = $4,000 - 55% x $4000

$4000- $2,200 =  $1,800

if Levin pays within 10 days he will have a discount of 2 %, which he did

Therefore 2% x $1800 = $36

Delivered price =   $1800 -$36+ freight charges ( shipping)

$1800 -$36 + $50=$1814

Answer:$17.16

Step-by-step explanation:

do you have to start by subtracting the cost of the belt from the total budget: 80-28.5= 51.5. Then you can divide the remaining money by three because he’s buying three ties: 51.5/3≈ $17.16