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tekilochka [14]

2 years ago

9

The parallelogram has the vertices of A (4,4), B (6,4), C(9,9) and D(7,9) on a coordinate plane. Find the area of the parallelog

ram.

1 answer:

Ostrovityanka [42]2 years ago

4 0

7,9 is the closest to it (D)

You might be interested in

List one way a parallelogram and a rhombus are different

serious [3.7K]

The rhombus has equal side lengths while the parallelogram doesn't have equal side lengths.

4 0

2 years ago

Read 2 more answers

Wilma earns $9 per hour at her job. Then she spent $15 on a birthday gift for her best friend. Write an expression to represent

frozen [14]

Answer:

Wilma has $12.

Step-by-step explanation:

Since we don't know how many hours she worked, we know that Wilma earned 9x dollars at her job. Then she spends $15, so we can just subtract 15 from 9x.

$9x-15$

We can just replace the x with 3 to get:

$27-15\\12$

Hence, Wilma has $12.

3 0

2 years ago

Read 2 more answers

Solve <br> 3c-5=2c+5<br> please naswer fast and I will give you 5 stars

Masja [62]

Answer:

10

Step-by-step explanation:

3c - 5 =2c +5

3c - 2c =5 +5

c=10

4 0

3 years ago

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

2 years ago

Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the fi

Marianna [84]

You must find the relative rates of both workers...

T=f/3 and J=f/2 so if they work together to clear the field then:

ft/3+ft/2=f make all terms have a common denominator of 6

(2/2)(ft/3)+(3/3)(ft/2)=(6/6)f

2ft/6+3ft/6=6f/6 multiply both sides by 6

2ft+3ft=6f divide both sides by f

2t+3t=6 combine like terms on left side

5t=6 divide both sides by 5

t=6/5 hr

t=1 1/5 hr

t=1 hr 12 min

8 0

3 years ago