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nikklg [1K]
3 years ago
11

can someone pls help me i’m stressed out over this. all you have to do is find the area of the shaded part, thank you sm <3

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

88.86

Step-by-step explanation:

Okay, first find the area of the circle (πr^2)

The diameter of the circle is 14, however we need the radius. Simply divide the diameter by two.

\pi 7^{2}

3.14*49 =153.86

Next, we find the area of the rectangle (bh)

13*5 =65

Subtract the rectangle from the circle.

153.86-65 =88.86

Hope this helps you :)

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A large industrial firm allows a discount on any invoice that is paid within 30 days. of all invoices, 10% receive the discount.
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This situation has two outcomes: either an invoice is discounted or not. This two outcomes satisfy what we call a binomial distribution (note "bi" in binomial).

The binomial distribution tells us the probability that a randomly selected sample will have the outcome of success. In this case, we consider receiving the discount as the "success" outcome while not receiving it means "failure". The distribution takes the form:

P(X=x)= _{n}C_{x} p^{x}  q^{n-x}
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You have an inconsistency regarding the total number of samples by the way, but I will take the first mentioned sample of 15 as I answer (you can just follow through the same process for another value).

For the next step, let's digest the problem to get the needed variables.

The total number of samples, n, is equal to 15. The probability of success (receiving a discount), p, is 10% or 0.1, and the probability of failure (not receiving a discount) is 90% or 0.9.

For P(X=x), we need to find the probability that less than two of the samples have success outcomes therefore we need to find the probability that NO invoice will receive the discount plus the probability that ONE invoice will receive the discount. This is equivalent to saying
P(X\ \textless \ 2)=P(X=0)+P(X=1)

Calculating these probabilities we'll get:
P(X=0)= _{15}C_{0} (0.1)^{0} (0.9)^{15}=0.206
P(X=1)= _{15}C_{1} (0.1)^{1} (0.9)^{14}=0.343
P(X\ \textless \ 2)=P(X=0)+P(X=1)=0.206+0.343=0.549

ANSWER: The probability that fewer than 2 sampled invoices will receive the discount is 0.549 or 54.9%.
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Step-by-step explanation:

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