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pochemuha
2 years ago
7

Find the surface area of the composite figure.

Mathematics
1 answer:
Rasek [7]2 years ago
8 0

By using the <em>area</em> formulae for triangles and rectangles and the concept of <em>surface</em> area of the <em>composite</em> figure is equal to 1108 square inches.

<h3>What is the surface area of the composite figure?</h3>

The <em>surface</em> area is the area of all faces of a solid. In this case, we must sum the areas of seven <em>rectangular</em> and two <em>triangular</em> faces to determine the <em>surface</em> area:

A = 2 · (0.5) · (12 in) · (9 in) + 2 · (11 in) · (20 in) + 2 · (5 in) · (20 in) + 2 · (5 in) · (12 in) + (12 in) · (20 in)

A = 1108 in²

By using the <em>area</em> formulae for triangles and rectangles and the concept of <em>surface</em> area of the <em>composite</em> figure is equal to 1108 square inches.

To learn more on surface areas: brainly.com/question/2835293

#SPJ1

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Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.
statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Suppose a basketball player has made 231 out of 361 free throws.

This means that p = \frac{231}{361} = 0.6399

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

E = -31*0.4095 + 21*0.5905 = -0.29

The expected value of the proposition is of -0.29.

3 0
2 years ago
Question 7. Ezequiel's Biology marks are 8.3, 6.8 and 9.4 out of 10. His final grade in Biology is the mean of these three marks
Paha777 [63]

Answer:

Ezequiel's final grade is 8

Step-by-step explanation:

The average (mean) of Ezequiel's grade is:

\frac{(8.3+6.8+9.4)}{3} \approx 8.16666

which rounded to the nearest unit is 8.

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3 years ago
Sarah paid a food bill of 13.74 with a $20 bill how many change was she owed
slamgirl [31]
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3 years ago
Read 2 more answers
2x + 4 / 3 = -8 please help
arsen [322]
X= -14/3 !


hope this helps
4 0
2 years ago
Read 2 more answers
For which value of x does f(x)=2
maks197457 [2]

when x= -4 ,f(x)=2

Step-by-step explanation:

the coordinate in which f(x) i.e y=2 is (-4,2)

thus x= -4

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3 years ago
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