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Arte-miy333 [17]
3 years ago
7

Write an expression to represent the total cost of paint at a rate of $5.75 per ft.? to paint a triangular-shaped mural where th

e base of the triangle is 22 feet longer than the height
Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0

Answer:

C($)= (x²/2 +11x)5.75

Step-by-step explanation:

Let's assume the height= x

The base= x+22

Area= 1/2(base*height).

Area= 1/2((x+22)(x))

Area= x²/2 +11x

Cost per ft= $5.75

Cost for painting the triangular mural C

C($)= (x²/2 +11x)5.75

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Answer:

The probability that he answered neither of the problems correctly ​is 0.0625.

Step-by-step explanation:

We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.

Let X = <u><em>Number of problems correctly ​answered by a student</em></u>.

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r}\times p^{r}\times (1-p)^{n-r};x=0,1,2,3,....    

where, n = number of trials (samples) taken = 2 problems

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           p = probability of success which in our question is probability that

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So, X ~ Binom(n = 2, p = 0.75)

Now, the probability that he answered neither of the problems correctly ​is given by = P(X = 0)

             P(X = 0) = \binom{2}{0}\times 0.75^{0}\times (1-0.75)^{2-0}

                            = 1 \times 1\times 0.25^{2}

                            = <u>0.0625</u>

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