Retest: ProbabilityFor problems 1-3: Johnny Awesome has three red marbles, two blue marbles, five green marbles, and 7 yellowmarbles in a bag. What is the probability that'Johnny.....3) draws a blue marble, does not replace it, and then draws a green marble?

On evaluating, the function f(x) and g(x) the values of f(g(3)) = - 11 and f(g(x)) = -35x + 22.    

A relation between a collection of inputs and outputs is known as a function. A function is an association between inputs in which each input is connected to approximately one output. To find f(a) for a given function f(x) we simply substitute 'a' instead of 'x' in the given function f(x).

Here we have

f(x) = 7x - 5 and g(x) = - 5x + 4

10. f(g(3))  

To find g(3) take x = 3 in g(x)

=> g(3) = - 5(3) + 4 = - 15 + 4 = 11  

=> g(3) = - 11

To find f(g(3))  take x = g(x) = - 11 in f(x)

f(g(3)) = 7(-11) - 5 =  - 77 - 5 = - 82

∴ The value of f(g(3)) = - 11  

11. f(g(x)

To find f(g(x)) take x = g(x)

=>  f(g(x) = 7(-5x + 4) - 5  

=>  f(g(x)) = -35x + 28 - 5

=>  f(g(x)) = -35x + 22  

∴ f(g(x)) = -35x + 22    

Therefore,

On evaluating, the function f(x) and g(x) the values of f(g(3)) = - 11 and f(g(x)) = -35x + 22.    

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The value of the expressions are,

⇒ (q ο r ) (7) = 22

⇒ (r ο q ) (7) = 8

We have to given that,

Functions are defined as,

⇒ q (x) = x² + 6

⇒ r (x) = √x + 9

Now, We can formulate all the values as,

⇒ (q ο r ) (7)

⇒ q (r (7))

⇒ q (√7 + 9)

⇒ q (√16)

⇒ q (4)

⇒ (4² + 6)

⇒ 22

⇒ (r ο q ) (7)

⇒ r (q (7))

⇒ r (7² + 6)

⇒ r (55)

⇒ √55 + 9

⇒ √64

⇒ 8

Thus, The value of the expressions are,

⇒ (q ο r ) (7) = 22

⇒ (r ο q ) (7) = 8

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Answer:

rational

Step-by-step explanation:

Answer:

165 minutes

Step-by-step explanation:

To solve for the number of minutes that Joaquin played for, we can use this expression:

(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)

Subtracting 1:10 from each side:

1:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.

So, the expression is now:

So, 2 hours and 25 minutes passed.

If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:

Now we need to add on the number of minutes and the time it took him to get home:

Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.

Answer:

(5x-4)(x+1)

Step-by-step explanation:

Answer:

\(7x - \frac{7}{79} = 68x + 8 \\ 7x - 68x = 8 + \frac{7}{79 } \\ - 61x = \frac{639}{79} \\ x = \frac{639}{79 \times ( - )61} \\ x = \frac{639}{ - 4819} \\ = - 0.132.......\)

Answer:

x = -639 / 4819   (x = -0.1326 [rounded])

Step-by-step explanation:

7x - 7/79 = 68x + 8

{subtract 7x from both sides to begin to isolate x}

       7x - 7/79 = 68x + 8

       -7x             - 7x

            - 7/79   = 61x + 8

{subtract 8 from both sides to isolate x}

- 7/79   = 61x + 8  

- 8                   -8

{8 = 632/79}

- 639 / 79 = 61x

{divide both sides by 61 to isolate x}

-639 / 79  = 61x

÷ 61            ÷61                  \(-\frac{639}{79}\)   ÷ \(\frac{61}{1}\) =  \(-\frac{639}{79}\) * \(\frac{1}{61}\) =   \(-\frac{639}{4819}\)

-639 / 4819 = x

(-639/4819 ≈ -0.1326 [rounded] )

{updates in bold}

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

step 3!

Step-by-step explanation:

Answer:

1997 > y

Step-by-step explanation:

The inequality that presents year before 1997 is y<1997

Inequality shows relation between two expression which are not equal to each others.

According to given condition,

The emoji were introduced in the year 1997,

There can be infinite year before 1997, when emoji were not introduced.

The year y that describes inequality the year before 1997 can be represented as,

y<1997

The required inequality is y<1997.

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Answer:

5

−21

÷

10

−7

= \frac{-21}{5} \times \frac{-10}{7}=

5

−21

×

7

−10

= \frac{21\times 10}{5 \times 7 }=

5×7

21×10

/* After cancellation , we get */

= 6=6

Therefore.,

\red{ \frac{-21}{5} \div \frac{-7}{10}}\green { = 6}

5

−21

÷

10

−7

=6

•••♪

Answer: -6

Step-by-step explanation:

(-21/5) / (-7/-10)

Since there is two negatives in -7/-10 the negative will cancel out, but only in -7/-10

(-21/5)/(7/10)

You can now divide what’s in the parentheses (which will give you (-21/5)/(10/7)

(-21/5) / (10/7) =  -3 X 2 (just divide 10 by 5 and -21 by 7, when dividing fractions you divided the opposing numerator by the denominatior)

-3 x 2 = -6

Hope that makes sense :)

Answer: 4/5 divided by 3/4 is the same as multiplying 4/5 times 4/3 wich is 1 1/15

Step-by-step explanation:

Answer:

the answer is 16 over 15 (16/15)

Step-by-step explanation:

can i please get the crown

Answer:

24 cm²

Step-by-step explanation:

area of square base = 2 X 2 = 4cm²

area of a triangle = 0.5 X width X vertical height

area of one slanted side = 0.5 X 2 X 5 = 5

there are 4 sides to square pyramid. so area of 4 slanted sides = 4 (5)

= 20cm²

total surface area = 4 slanted sides + base

                             = (20 + 4)cm²

                             = 24cm²

Answer:

\(y=3x^{2}\) has a higher vertical scaling compared to \(y=x^{2}\)

Step-by-step explanation:

Graph it! (:

Answer:

Both graphs are parabolas and they both open upward and pass through 0, 0. The first graph is more narrow than the second graph.

Step-by-step explanation:

This was the possible answer provided :)

If Santiago has been approved for a mortgage up to $195,000 and the conventional loan requires a 20% down payment, then his down payment will be:

Down payment = 20% * $195,000

Down payment = $39,000

Therefore, if Santiago buys a house for the maximum amount he has been approved for, he will need to make a down payment of $39,000.

To calculate how much house Santiago can afford, we need to subtract the down payment from the total amount he has been approved for:

Maximum home price = Total mortgage amount - Down payment

Maximum home price = $195,000 - $39,000

Maximum home price = $156,000

Therefore, Santiago can afford a home up to a maximum price of $156,000.

To summarize:

Santiago's down payment will be $39,000.

Santiago can spend up to $156,000 on a house.

I'm sorry to disturb but can you please mark me BRAINLEIST if this ans is helpfull

Answer is \(2\sqrt{2}\) mi

Given,

Kaylib’s eye-level height is 48 ft

Addison’s eye-level height is 85 and one-third ft above sea level.

From the formula d= \(\sqrt{3h/2}\),

get the difference as:

\(d=\sqrt{(3*(85+1/3))/2} - \sqrt{(3*48)/2}\)

=\(\sqrt{256/2} - \sqrt{3*24}\)

=\(\sqrt{128} - 6\sqrt{2}\)

=\(8\sqrt{2} - 6\sqrt{2}\)

d=\(2\sqrt{2}\)

Therefore, Addison sees \(2\sqrt{2}\)mi to the horizon

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Answer:

80 cm²

Step-by-step explanation:

Let's break down the composite shape into two parts. (Image attached)

⇒ The side length of "a" is 4 cm.

⇒ The side length of "b" is 8 cm.

First, let's find the area of square "a". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (4)² = Area of "a"

⇒ (4)(4) = Area of "a"

⇒ 16 cm² = Area of "a"

Next, find the area of square "b". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (8)² = Area of "b"

⇒ (8)(8) = Area of "b"

⇒ 64 cm² = Area of "b"

Finally, let's sum up the area of square "a" and "b" to find the area of the composite shape.

⇒ Area of composite shape = Area of "a" + Area of "b"

⇒ Area of composite shape = 16 + 64

⇒ Area of composite shape = 80 cm²

Answer:

A=x²+6x+8

Step-by-step explanation:

Answer:  A=x²+6x+8

Step-by-step explanation: Since we are looking to find the area of the entire rectangle, we would use the formula.  is the length and is width. You would approach this problem like any other area of the rectangle problem, except you are dealing with polynomials instead.

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

n= -35 .................................

the answer is on the picture

Answer: x=8

Step-by-step explanation: Hope this help :D

The solution to the inequality √3r + 5 > 1 is r > 16/3.

To solve the inequality √3r + 5 > 1, we can follow these steps:

Subtract 5 from both sides of the inequality:

√3r + 5 - 5 > 1 - 5

√3r > -4

Square both sides of the inequality to eliminate the square root:

(√3r)^2 > (-4)^2

3r > 16

Divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 16/3

r > 16/3

Therefore, the solution to the inequality √3r + 5 > 1 is r > 16/3.

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9514 1404 393

Answer:

  (x, y) = (3, 12)

Step-by-step explanation:

Using the given variable definitions, we can write the equations ...

  y = x + 9

  2(x +y) = 30

__

Solving the second equation for y, we have ...

  y = 15 -x

Substituting this into the first equation gives ...

  15 -x = x +9

  6 = 2x . . . . . . . . . add x-9

  3 = x . . . . . . . . . . divide by 2

  y = 3+9 = 12 . . . . substitute into the first equation

The numbers are (x, y) = (3, 12).

Answer:

36.04

The amount of the tip is approximately $

$7.00

O $7.20

0 $7.25

$7.50

Step-by-step explanation:

Answer:

Your answer is D due to where the points lie :)

Alex spend $1507.92 in total to buy this stock at 3% charges on each shares.

Shares represent equity ownership in a corporation or financial asset, owned by investors who exchange capital in return for these units.

Alex buys 30 shares of Walmart at the close price of $48.80.

His broker charges him 3% of each share.

Purchasing of 30 shares =48.80 *30

                                         =$1464

Now we have to find the 3% of total purchasing of shares.

So,

Broker's fees =\(\frac{3}{100}*1464\)

                      = 0.03 * 1464

                      = 43.92

So, total cost of stock= 1464+43.92

                                   = 1507.92

Hence, Alex spend $1507.92 in total to buy this stock.

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Their house will be worth approximately $240,154.57 in 8 years.

Non of the options is correct.

To determine how much their house will be worth in 8 years, we can substitute the value of t = 8 into the exponential equation:

y = 150,000(1.004)^(12t)

y = 150,000(1.004)^(12*8)

y = 150,000(1.004)^96

Using a calculator or computer software to evaluate the exponential expression, we find:

y ≈ 150,000 * 1.601030475

y ≈ 240,154.57

None of the provided answer choices match the calculated value. However, we can examine the available options and make an estimation:

A) $240,000: This option is very close to the calculated value of $240,154.57 and is a reasonable estimate.

B) $220,000: This option is significantly lower than the calculated value and is not a close estimate.

C) $1,258,884: This option is significantly higher than the calculated value and is not a close estimate.

D) $14,457,600: This option is extremely higher than the calculated value and is not a realistic estimate.

Based on the provided answer choices, option A) $240,000 is the closest estimate to the calculated value of $240,154.57. However, please note that the actual value may vary depending on the specific calculations and rounding methods used.

Non of the options is correct.

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Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

1) Find the two middle numbers: 50 and 70.

2) Take the average of both #'s to get your answer: 60.

Answer:

i think it's square foot of4

The value of the expression (a + b)² at a = 8 and b = 24 will be 1,024.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (a + b)²

The value of the expression at a = 8 and b = 24 will be calculated as,

⇒ (8 + 24)²

⇒ (32)²

⇒ 1,024

The value of the expression is 1,024.

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