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Naddika [18.5K]
3 years ago
11

What is the area of the trapezoid shown below?​

Mathematics
2 answers:
Olin [163]3 years ago
7 0

Answer:

78 sqr units

Step-by-step explanation:

Use the Pythagorean Theorem to help find the base opposite the two.

The base of the second parallel line is sqrt(  (15^2) - (12^2)  ) = sqrt(81) = 9

The second base = 9 + 2 = 11

Area = (b1 + b2)*h/2

h = 12

b1 = 2

b2 = 11

h = 12

Area = (11 + 2)*12/2

Area = 13 * 12/2

Area = 78 square units

Murljashka [212]3 years ago
3 0
The answer is seventy eight square units
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he number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.02
Yakvenalex [24]

Answer:

a) 98.01%

b) 13.53\%

c) 27.06%

Step-by-step explanation:

Since a car has 10 square feet of plastic panel, the expected value (mean) for a car to have one flaw is 10*0.02 = 0.2  

If we call P(k) the probability that a car has k flaws then, as P follows a Poisson distribution with mean 0.2,

P(k)= \frac{0.2^ke^{-0.2}}{k!}

a)

In this case, we are looking for P(0)

P(0)= \frac{0.2^0e^{-0.2}}{0!}=e^{-0.2}=0.9801=98.01\%

So, the probability that a car has no flaws is 98.01%

b)

Ten cars have 100 square feet of plastic panel, so now the mean is 100*0.02 = 2 flaws every ten cars.

Now P(k) is the probability that 10 cars have k flaws and  

P(k)= \frac{2^ke^{-2}}{k!}

and  

P(0)= \frac{2^0e^{-2}}{0!}=0.1353=13.53\%

And the probability that 10 cars have no flaws is 13.53%

c)

Here, we are looking for P(1) with P defined as in b)

P(1)= \frac{2^1e^{-2}}{1!}=2e^{-2}=0.2706=27.06\%

Hence, the probability that at most one car has no flaws is 27.06%

6 0
3 years ago
Read 2 more answers
What is the distance between the points (2, 4) and (7, 16)?<br><br> 13<br> 15.4<br> 16<br> 24
Veronika [31]
If you do the distance formula you get 13 as the answer.
3 0
3 years ago
Sally took out a $50,000 life insurance policy. The $50,000 amount of coverage is called the:
olga55 [171]

Answer:

The $50,000 amount of coverage is called the Death benefit or face value.

Step-by-step explanation:

Consider the provided information.

Sally took out a $50,000 life insurance policy.

The face value, or death benefit is the amount of money a life insurance policy would pay upon the insured person's death to the beneficiary.

Hence, the $50,000 amount of coverage is called the Death benefit or face value.

6 0
3 years ago
What number best completes both equations? 2/3÷3/10=_ _×3/10=2/3
dezoksy [38]
The answer would be 20/9
7 0
3 years ago
5 more than the sum of p and a​
leva [86]
X=5+(p+a). I think thats right idk tho
3 0
3 years ago
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