The majority of Americans spend most of their income on:
housing.
A.food.
B.health care.
C.entertainment.

Assuming that all the grapes have the same probability of being randomly picked:

We know that there are 8 green grapes and 15 red grapes on the bowl, so there is a total of 23 grapes.

a) Here we need to find the probability that both grapes are green. Remember that the probability of getting a green grape is equal to the quotient between the number of green grapes and the total number of grapes, this is:

P = 8/23

But then he must take another, because he already took one, the number of green grapes is 7, and the total number of grapes is 22, so for the second grape the probability is:

P' = 7/22.

The joint probability is the product of the two individual probabilities:

prob = (8/23)*(7/22) = 0.11

b) For the first green grape we know that the probability is:

P = 8/23

Then he must get a red grape. There are 15 red grapes and 22 grapes in total, so the probability is:

P' = 15/22

Then the joint probability is:

prob = (8/23)*(15/22) = 0.24

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Answer:

y=|x|

Step-by-step explanation:

We know

general modulus function passes through origin as |0| is 0

And it's symmetric on both sides of y axis .

As it's not one -one function

Means

So the graph is y=|x|

Answer:

y = |x|

Step-by-step explanation:

The equation for the part of graph to the right of the y-axis is:  

y = x  where y ≥ 0

The equation for the part of graph to the left of the y-axis is:  

y = -x  where y ≥ 0

So we can see that both a positive and negative value of x gives the same positive value of y.

Therefore, we can create an equation for the graph by using the absolute value of x:

⇒ y = |x|

Absolute value means how far away a number is from zero.

"x" is x away from zero and "−x" is also x away from zero.

So the absolute value of x is x, and the absolute value of −x is also x.

The bars either side of the x shows that we want the absolute value of x.

In practice, think of "absolute value" as removing any negative sign in front of a number.

With y = x  →  when x = 1, y = 1  and  when x = -1, y = -1

With y = |x|  →  when x = 1, y = 1  and  when x = -1 we think of it as x = 1, so y = 1

Answer:

11

Step-by-step explanation:

I used a bunch of formulas that would clog this page, so I can't put them down.  Sorry if it's wrong

Answer:

A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

Step-by-step explanation:

E = v + Ir

E - v = Ir (subtract by v on both sides)

(E-v)/I = r (divide by I on both sides)

[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

Answer:

No

Step-by-step explanation:

If you look at the graphs of the two expressions when x > 8

 you will see that 2^x is greater

Yes that's true

because

As we can observe the table

The values of 5x²

The values of 2^x

Clearly Tyler is correct

But

This is just according to table

After some while 2^x will shift gears to go ahead of 5x² side

Example

Samantha and Mia are 13 km apart from each other.

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

As Mia walked 7km/h and she is 7 km north of Julia's house.

and, Samantha walked 11km/h and she is 11 km west of Julia's house.

The points where Mia and Samantha are after 1 hour as shown in figure, and Julia's house forms a right angled triangle.

the distance between the girls is shown by, hypotenuse of triangle

Using Pythagoras theorem,

[tex]H^{2} =P^{2} +B^{2}[/tex]

[tex]H^{2} =7^{2} +11^{2}[/tex]

[tex]H^{2} =49+121\\[/tex]

H= [tex]\sqrt{170}[/tex]

H= 13.038

H= 13 Km

They are 13 km apart from each other.

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Answer:

13.0 km

Step-by-step explanation:

Answer:

0.0037

Step-by-step explanation:

In scientific notation, if the exponent is negative, you shift the decimal to the left to find the number in standard form.

Hope this is not confusing.

Answer: Heyaa! ~

772 divided by 9 is... 80.2

Step-by-step explanation:

Lets solve! ~

Hopefully this helps you! ^^

Answer:

x = 6

Step-by-step explanation:

(17*6)+6 = 108

Answer:

No, x>3/2

Step-by-step explanation:

Too lazy sorry.

Answer:

3.2

Step-by-step explanation:

Formula to find the simple interest rate :

S.I. = [tex]\frac{PRT}{100}[/tex]

Formula to find R (simple interest rate) :

R = [tex]\frac{100*S.I.}{P*T}[/tex]

Since you have I (interest amount), we can use this formula instead :

R = [tex]\frac{I}{PT}[/tex]

R = [tex]\frac{320}{4,000*2}[/tex] = 4%/year or 0.04

Now plug this into the first formula

S.I. = [tex]\frac{4,000*0.04*2}{100}[/tex] = 3.2

i haven't done this in a while so hope this helps !!

Answer:

.0006

Step-by-step explanation:

I'm not sure if this is correct.. sorry if this is wrong.. :(

Answer:

Step-by-step explanation:

The given expression describes the GP with

The first term:

The common ratio:

It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)

The number of terms is

The sum of the first 28 terms is

Answer:

114,126 (nearest whole number)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

Given:

[tex]\displaystyle \sum^{29}_{n=2}80(1.23)^{n-2}[/tex]

The sigma notation means to find the sum of the given geometric series where the first term is when n = 2 and the last term is when n = 29.

First term (a)

Determine the first term by substituting n = 2 into the given expression:

[tex]n=2 \implies 80(1.23)^{2-2}=80[/tex]

Common ratio (r)

From inspection, the common ratio is 1.23.

nth term

As the first term is when n = 2 and the last term is when n = 29, there is a total of 28 terms.

Therefore:

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Substituting the given values into the formula:

[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}=114125.7556[/tex]

Therefore, the sum of the given geometric series is 114,126 (nearest whole number)

Answer:

40/36 simplified is 10/9

Step-by-step explanation:

40 ÷ 4

36 ÷ 4

Reduced fraction:

10/9

Therefore, 40/36 simplified to lowest terms is 10/9.

Answer:

10/9

Step-by-step explanation:

i hope this helps you good luck on your quiz or lesson! :)

also thanks for the points and not to boher you but can i please have brainlliest thanks

Any other question tell me in the comments!

Answer:

Step-by-step explanation:

Answer: m=12

Step-by-step explanation:

Answer:

m=12

Step-by-step explanation:

m - 3 = 9

You have to make sure

that m stands alone,

that's making m the subject.

So -3 have to cross the equal to sign,

to become +3

m = 9 + 3

m = 12

Hope this help. I wish you all the best

Answer:

Area is = 40

Explanation:

To find the area of a parralelgram use this formula A=b×h

So . .

The base is 20 feet and the height is 4 feet.

So . .

A= 20 × 4 = 40

A=40

Answer:

A rhombus

Step-by-step explanation:

A rhombus is a parallelogram with 4 congruent sides and it always has four congruent sides. It also has two pairs of equal angles.

Answer: rhombus

Step-by-step explanation: Correct answer is a rhombus! A rhombus is a parallelogram with 4 congruent sides and it always has four congruent lines . a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

X=10

Step-by-step explanation:

1. 1/3 (2x-8)=4

2. 2x/3 - 8/3 = 4

3. 2x/3 = 4+2 2/3

2x/3 = 6 2/3

2x/3 = 20/3(Criss cross method)

6x = 60

x=10

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The radius of the circle is 5.30 cm.

A radius is a line that extends from the center of a circle to any point of the circumference.

To calculate the length of the radius of the circle, we use the formula below.

Formula:

Make r the subject of the equation

Where:

From the question,

Given:

Substitute these values into equation 2

Hence, the radius of the circle is 5.30 cm.

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Answer:

38

Step-by-step explanation:

2(2) = 4

4(5) = 20

20(6) = 120

120/3 = 40

40 - 3 = 37

37 + 1 = 38

The area of the base of the triangular prism is 48 square meters. Then the correct option is B.

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A triangular prism has a height of 6 meters and a triangular base with the following dimensions.

The figure is shown below.

Then the area of the base of the triangular prism will be

[tex]\rm Area = \dfrac{1}{2} \times 16 \times 6\\\\Area = 48[/tex]

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The surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.

The area of the outer layer of any object or cylinder is called the surface area. Here we have a cylinder with a base radius of 6 cm and a height of 8 cm.

The formula for the surface area of a cylinder:-

SA = 2πrl

SA = 2 x π x 6 x 8

SA = 301.6 cm ²

Therefore the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.

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Answer:

A.  g(x) = -x^2 - 3.

Step-by-step explanation:

If we reflect f(x) over the x -axis we get -f(x) which is the mirror image of f(x)

To get g(x) we then translate the image 3 units down,

g(x) = -x^2 - 3.

Answer:

3

Step-by-step explanation:

3÷3=1

cant be divided by 9 and get a whole number

3÷9=.33333

The simplest form of the expression (x + 7)(3x − 8) is 3x²  + 13x - 56

The expression is given as:

(x + 7)(3x − 8)

Expand the expression

3x² - 8x + 21x - 56

Evaluate the like terms

3x²  + 13x - 56

Hence, the simplest form of the expression (x + 7)(3x − 8) is 3x²  + 13x - 56

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Answer:

the answer is ABC was translated right 4 units and down 4 units. hope this helped