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3 years ago

PLS HELP WITH THIS ONE

Mathematics

1 answer:

olga2289 [7]3 years ago

4 0

Answer:

460 ft^2 of carpet will be replaced

Step-by-step explanation:

You need to find the area of the room and then take away the area of the six bookcases

20*20=400ft^2

35-20=15ft

(15*20)/2=150ft^2

400+150=550ft^2 total room area

<u>Area of bookcases</u>

2.5*6*6=90ft^2 total bookcase area

<u>room area - bookcase area = carpet area</u>

550-90=460ft^2

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Roll two fair dice. Each die has six faces. A. Let A be the event that either a 3 or 4 is rolled first followed by an odd number

zhenek [66]

Answer:

A. 0.16

B. 0.58

C. No

D. Dependent

Step-by-step explanation:

The sampling space has 36 outcomes.

The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)

So P(A)= 6/36 = 0.16

The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58

Are A and B mutually exclusive events?

No since their intersection is not empty, for example (3,1) belongs to both A and B

In order for A and B to be independent, it must happen that

P(A∩B)=P(A)P(B)

A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36

whereas

P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72

So A and B are not independent.

7 0

4 years ago

G(x) =

anygoal [31]

The average rate of change of g over the interval [-2, 4] is 4

<h3>What is the average rate of change of g over the interval [-2, 4]?</h3>

The equation of the function is given as:

g(x) = 4x + 7

Calculate the value of the functions

g(-2) and g(4)

So, we have:

g(-2) = 4 * -2 + 7 = -1

g(4) = 4 * 4 + 7 = 23

The average rate of change of g over the interval [-2, 4] is then calculated as:

Rate = g(4) - g(-2)/4 - 2

This gives

Rate = (23 + 1)/(4 + 2)

Evaluate

Rate = 4

Hence, the average rate of change of g over the interval [-2, 4] is 4

Read more about average rate of change at

brainly.com/question/8728504

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Complete question

g(x) = 4x + 7

What is the average rate of change of g over the interval [-2, 4]?

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2 years ago

Use properties to find the sum or product .<br><br> 8 x 51

jekas [21]

8 x 51 = 408 and 8 + 51 = 59

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4 years ago

Write and solve an equation to find the missing dimension of the prism.

Tema [17]

Answer:

use your instincts

Explanation:

it works for both me and my dad and it should work for you

7 0

3 years ago

Read 2 more answers

I think I have the correct answers but will anyone try to solve these questions so I can see if we got the same answer.

Andre45 [30]

Because you seem to have an understanding of the material, I will write my math, but no explanations for my work. Comment on this answer for an explanation, or if I did something wrong.

1. Find the length of the South side of the field.

$(5x+2)+(x^2-9)+(x^2-7x+12)\\5x+2+x^2-9+x^2-7x+12\\2x^2+5x+2-9-7x+12\\2x^2-2x+2-9+12\\2x^2-2x+5$

2.Find the perimeter of the pumpkin field.

$2(5x+2)+2(5x-2)\\(5x+2)+(5x+2)+(5x-2)+(5x-2)\\20x+4-4\\20x$

3. Find the perimeter of the whole field.

$2(4x+5x-2)+2(5x+2+x^2-9+x^2-7x+12)\\2(9x-2)+2(2x^2-2x-5)\\18x-4+4x^2-4x+10\\4x^2+14x+6$

4. If $x=30ft$ , what is the total perimeter?

$P=4x^2+14x+6\\P=4(30)^2+14(30)+6\\P=4(900)+420+6\\P=1026ft$

Random Tangent:

If you want to involve $y$ in finding these answers for whatever reason, your math is going to get messy. Here's what I tried before I realized you could multiply each side by $2$ to get the total perimeter:

$xy+1+x+6=4x+5x-2\\xy-8x=-9\\x(y-8)=-9\\y-8=-\frac{9}{x}\\y=-\frac{9}{x}+8$

Now the other side. This one's even worse.

$xy-1+6x+x=5x+2+x^2-9+x^2-7x+12\\xy+9x-2x^2=5\\x(y+9+2x)=5\\2x+9+y=\frac{5}{x}\\y=\frac{5}{x}-2x-9$

At this point, was realizing I wasn't going about the problem correctly, but did one last try by setting $y=y$ . At this point in the equation, I simply had to stop, both due to complexity and technological problems.

$\frac{5}{x}-2x-9=-\frac{9}{x}+8\\\frac{14}{x}=2x+17\\ 14=2x^2+17x\\0=2x^2+17x-13\\$

I could possibly continue to solve, but I don't see a point. It was clear that this was NOT the right path to take finding the perimeter. It was here I realized that I could just multiply the two sides without $y$ in them by $2$ and--without as much difficulty--reach the correct answer.

6 0

3 years ago