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3 years ago

9

The diagram shows a 6 ft student standing near a tree. The shadow of the student and the shadow of the tree ends at point A. Wha

t is the height of the tree?

2 answers:

cestrela7 [59]3 years ago

6 0

5/15 = 6/x
5x=90
X =18

NNADVOKAT [17]3 years ago

3 0

Answer: 18ft

Step-by-step explanation: I took the quiz and got 100%

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The answer is C. 155

First find the measure of arc YZ.

The arc of WYZ is equal 180 degrees. So first add 25 to 85. Then subtract that to 180.

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180-110=70.

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70+85=155

So measure of ZX is equal to 155 degrees

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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

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

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

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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.

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3 years ago

Geometry question on finding x.

Dmitrij [34]

Answer:

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Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

$\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}$

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

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3 years ago