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lutik1710 [3]
3 years ago
8

A pyramid has a regular hexagonal base with side links of four and a slant height of six. Find the total area of the pyramid

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0

Area of the Base = 6 * side^2 / 4 * tan (180/6)

Area of the Base = 6 * 16 / 4 * 0.57735

Area of the Base = 96 / 2.3094

Area of the Base = 41.5692387633


Area of 1 Face = 2 * 6 = 12

Area of 6 Faces = 72


Total Area = 41.5692387633 + 72

Total Area = 113.5692387633

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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
3 years ago
Complete the square to solve 4x^2 + 24x = 4
dalvyx [7]

Answer:

4x^2+24x=4

Step 1:

make the coefficient of x² as 1, divide both sides by 4

x² +6x =1

Step 2:

take half of coefficient of x, square it and add it to both sides

half of 6 is 3 and 3²=9, so add 9 to both sides

x² +6x+9=1+9

x²+6x+3²=10

(x+3)²=10

now when we take square root we will get both + and - √10 on right side

x+3= +√10

x+3=-√10

solving for x

x=+√10-3

Step-by-step explanation:

4 0
3 years ago
If the probability of a certain event is 63/92, what are the odds against the event happening?
Deffense [45]
29/92 you minus sixty three by ninety two to get the probability of the event not to occur.  
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3 0
3 years ago
I need help with (-2.3) * 4.7
kykrilka [37]

(-2.3)*4.7 would be equal to -10.81

8 0
3 years ago
∠BCD is reflected over the x-axis. If m∠BCD = 35°, what is the measure of ∠BʹCʹDʹ ?
SashulF [63]
The angle should not change. 35 degrees
6 0
3 years ago
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