Given parallelogram ABCD with c(5,4), find the coordinates of A if the diagonals intersect at (2,7)

ASAP ....... The Smith family is designing new plans for an in-ground pool. Mr. Smith draws a rectangular shape with a length th

saw5 [17]

Answer:
total area = w^2 + 13w + 36 ft^2

Explanation:
The final pool and the sideways will be as shown in the attachment

1- We will get the area of the pool:
length of pool = w + 5
width of pool = w
area of pool = length * width
area of pool = w (w+5) square ft ...........> I

2- We will get the area of the sideways:
The side way is composed of the two blue rectangles and the two green ones
Therefore:
area of sideway = 2(area of blue rectangle) + 2(area of green rectangle)
a- getting the area of the blue rectangle:
length = w + 5 + 2 + 2 = w+9
width = 2
area of blue rectangle = length * width
area of blue rectangle = 2(w+9) square ft ..........> a
b- getting the area of the green rectangle:
length = w
width = 2
area of green rectangle = length * width
area of green rectangle = 2w square ft ..............> b
c- getting area of sideways:
as mentioned before:
area of sideways = 2(area of blue rectangle) + 2(area of green rectangle)
area of sideways = 2*equation a + 2*equation b
area of sideways = 2 (2(w+9)) + 2(2w)
area of sideways = 4(w+9) + 4w
area of sideways = 4w + 36 + 4w
area of sideways = 8w + 36 ...........> II

3- getting the total area:
total area = area of pool + area of sideways
total area = equation I + equation II
total area = w (w+5) + 8w + 36
total area = w^2 + 5w + 8w + 36
total area = w^2 + 13w + 36 ft^2

Hope this helps :)

3 0

3 years ago

Answer this. pleaaaaseeee

Evgen [1.6K]

Answer:

look at analysis

Step-by-step explanation:

11. 23.81

12.

part A

y is 12 and x is 4

part B

4

part C

5×12×4

240

5 0

2 years ago

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters a

Radda [10]

Answer:

a) 0.0214 = 2.14% probability that none of the people are Independent.

b) 0.8516 = 85.16% probability that fewer than 6 are Independent.

c) 0.8914 = 89.14% probability that more than 2 people are Independent.

Step-by-step explanation:

For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

It is believed that 11% of voters are Independent.

This means that $p = 0.11$

A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

This means that $n = 33$

A. What is the probability that none of the people are Independent?

This is P(X = 0). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214$

0.0214 = 2.14% probability that none of the people are Independent.

B. What is the probability that fewer than 6 are Independent?

This is

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214$

$P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872$

$P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724$

$P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202$

$P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041$

$P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516$

0.8516 = 85.16% probability that fewer than 6 are Independent.

C. What is the probability that more than 2 people are Independent?

This is:

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214$

$P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872$

$P(X < 2) = 0.0214 + 0.0872 = 0.1086$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914$

0.8914 = 89.14% probability that more than 2 people are Independent.

8 0

2 years ago

If a box in the group has a length of 30 inches what is its volume

USPshnik [31]

V=a^3
v=30^3
v=27000in^3

7 0

3 years ago

an hourglass is turned over with the top part filled with sand. after 3 minutes, there are 855 ml of sand in the top half. after

Hitman42 [59]

An hourglass is turned over with the top part filled with sand. after 3 minutes, there are 855 ml of sand in the top half. after 10 minutes, there are 750 ml of sand in the top half. This can be represents a two points ( 3, 855) and (10, 750) . using this to solve the slope m = (750-855)/(10-3) = -15. And using one point the equation is y = -15x + 900.

5 0

2 years ago

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