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stiv31 [10]
3 years ago
11

Points are plotted at (-2, 2), (-2, -4), and (2, -4). A fourth point is drawn such that the four points can be connected to form

a rectangle. What is the area of this rectangle?
8 square units
12 square units
16 square units
24 square units
Mathematics
2 answers:
arsen [322]3 years ago
7 0

Answer:

24

Step-by-step explanation:

4x6 = 24

-2 and 2 are 4 apart

2 and -4 are 6 apart

muminat3 years ago
4 0

Answer:

24 square units

Step-by-step explanation:

You might be interested in
Pls help I need to find the missing sides?!!
sladkih [1.3K]

Answer:

The missing sides are 13 (small) and 2424 (big)

Step-by-step explanation:

The bigger triangle is bigger by 2 so multiply or divide the sides you do know by 2 to find the missing sides.

BC=12

ED= 12*2= 24

FD= 26

AC= 26/2= 13

4 0
3 years ago
A car dealership has found that the length of time before a major repair is required on the new cars it sells is normally distri
weqwewe [10]

Answer:

Step-by-step explanation:

Hello!

The variable of interest in this case is:

X: length of time before a major repair is required on a new car. (months)

This variable has a normal distribution with mean μ= 36 months and a standard deviation σ= 9 months.

If he wants to set a guarantee period in which only 5% of the sold cars fell, the objective is to find the value of X that has below 5% of the cars that need major repairs before the end of the guarantee period.

Check the attachment, the curve represents the distribution of the population of the time it takes before a new car needs major repairs, I've marked approximately where this value of X should be.

Symbolically:

P(X≤a)=0.05

To reach the proper value of "a" you have to work using the standard normal distribution because is a tabulated distribution and you can extrapolate it to any normal distribution.

Z= \frac{X-Mu}{Sigma}~N(0;1)

So the first step is to look in the table of the Z distribution for the value that accumulates 0.05 of probability since it is such a low probability, you have to look for the value in the left side of the table (negative values of Z). You look for 0.05 in the body of the table and then the margins for the corresponding value (see second attachment)

Z_{0.05}= -1.64

Then the value that accumulates 0.05 of probability is -1.64, now you have to reverse the standardization to reach the asked value of X

Z= (a- μ)/σ

(Z*σ)= a - μ

a=(Z*σ)+ μ

a=(-1.64*9)+36

a= 21.24 months.

The guarantee period should be 21.24 months so that only 5% of the sold cars will need major repairs before it wears of.

I hope it helps!

5 0
3 years ago
Mikes grandma opened a savings account in mikes name. And deposited. Some money into the account the account pays on annual simp
liraira [26]

Answer: 2285.71

Step-by-step explanation:

Rearranging the simple interest formula, we have P = A / (1 + rt), where P is the Principal, r is the annaul rate and t is the time period.

r = R/100 = 5%/100 = 0.05 per year.

Solving the equation:

P = 3200 / ( 1 + (0.05 × 8)) = 2285.7142857143

7 0
2 years ago
Read 2 more answers
Please answer this correctly
Gala2k [10]

Answer: 2/3

Step-by-step explanation:

There are three sectors of equal area. 2 is one of the sectors. You can get 3 and 4. There are two total cases out of 3, so it's 2/3

Hope that helped,

-sirswagger21

5 0
3 years ago
Read 2 more answers
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cooki
givi [52]

Answer:

5/10

Step-by-step explanation:

if you add all the non- chocolate chip cookies than you have 10 other cookies.

since there are 5 chocolate chip cookies than the probability would be

5/10 or 1/2

3 0
3 years ago
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