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3 years ago

WILL MAKE U BRAINLIEST!!!!!!

Mathematics

2 answers:

mixas84 [53]3 years ago

4 0

Answer:

The answer is D) 53.1 degrees.

Hope it helps!

slega [8]3 years ago

4 0

Answer:

53.1°

Step-by-step explanation:

A rectangle triangle is formed, where 4/5 is the opposite side to θ and 3/5 is the adjacent side to θ (see figure attached).

From tangent definition:

tan θ = opposite/adjacent

tan θ = (4/5)/(3/5)

θ = tan^-1 (4/3)

θ = 53.1°

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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,

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

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%

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%

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

The ratio of the number of hamsters to the number of mice in a pet store is 3 to 2. How many hamsters are there, if there are 12

aleksandrvk [35]

Answer:

Step-by-step explanation:

you can do 12/2 to get 6 (the scale factor) and then multiply 3 by 6 and get 18

6 0

2 years ago

Find the greates common factor of the following monomials:2r^4s^2 and 36r^4s^3

ki77a [65]

The greatest common factor is 2 $r^{4} s^{2}$

This is because we start by taking the largest factor that goes into both coefficients. Since the first coefficient is 2, we have to try 2 and 1. Since 2 is larger and goes into 36 evenly, we use that.

Then we use the smallest number of each variable. There are 4 r's in both equations. So, that is the number that we take. There are 2 s's in the first term, so we take that number.

6 0

3 years ago

Merrill is playing a simple game of dice. For every 6 rolled, Merrill will win $5. For any other number, he must pay $2. How muc

Schach [20]

Solution -

The probability of getting 6 from a single roll of a fair dice = $\frac{1}{6}$