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timama [110]
4 years ago
5

The probability that Alma makes a three-point shot in basketball is 20 % 20%20, percent. For practice, Alma will regularly shoot

a series of these shots until she makes one. She's curious how many shots it will typically take her to get her first successful shot. She simulated 50 5050 trials of three-point shots where each shot had a 0.2 0.20, point, 2 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot.

Mathematics
1 answer:
Rainbow [258]4 years ago
8 0

Complete Question: Check the file attached to this document to see the complete question

Answer:

P(X < 7) = 0.76

Step-by-step explanation:

Counting properly from the diagram attached to the question,

number of trials it took her to make less than 7 shots(i.e. 0 to 6 shots) = 38

The total number of trials she made = 50

Probability that it takes fewer than 7 shots to get her first successful shot, P(X < 7) = (number of trials it took to make less than 7 shots)/(Total number of trials)

P(X < 7) = 38/50

P(X < 7) = 0.76

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68 + 53 is 121. Here's a tip: when you see a + - (-) change the signs add a positive instead of subtracting a negative. makes math 100 times easier
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4 years ago
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A quadratic equation has x = -2 + 3i as a solution and passes through the point (-1, -15). Write the quadratic equation in stand
rosijanka [135]

Answer:

The standard form of the quadratic equation is f(x) = 2/3·(x + 2)² + 6

Step-by-step explanation:

The given solution of the quadratic equation is x = -2 + 3·i

A point on the path of the quadratic equation = (-1, -15)

The general form of the quadratic equation is f(x) = a·x² + b·x + c

When f(x) = 0, (At which the solution is found), we have x = -2 + 3·i

Substituting gives;

0 = a·(-2 + 3·i)² + b·(-2 + 3·i) + c

0 = 4·a - 12·a·i - 9·a - 2·b + 3·b·i + c

0 = 3·i·(b - 4·a) - 5·a - 2·b + c

∴ b = 4·a

c = 13·a

The general equation becomes

f(x) = a·x² + 4·a·x + 13·a

Also, when x = -1, f(x) = -15

f(-1) = -15 = a·(-1)² + 4·a·(-1) + 13·(-1)

-15 = a - 4·a - 13 = -3·a - 13

-3·a = -15 + 13 = -2

a = 2/3

The general form of the quadratic equation is therefore;

f(x) = 2/3·x² + 8/3·x + 13·2/3 = 2/3·x² + 8/3·x + 26/3

f(x) = 2/3·x² + 8/3·x + 26/3

The minimum value occurs at d(f(x)/dx = 0 = d(2/3·x² + 8/3·x + 13·2/3)/dx = 4/3·x + 8/3 = 0

x = -8/3 × 3/4 = -2

Therefore;

The minimum value of the quadratic function is f(-2) = 2/3·(-2)² + 8/3·(-2) + 13·2/3 = 6

The coordinates of the minimum point, which is the vertex point (h, k) = (-2, 6)

The standard form of the quadratic equation f(x) = a(x - h)² + k, is therefore;

f(x) = 2/3(x - (-2))² + 6 = 2/3·(x + 2)² + 6

f(x) = 2/3·(x + 2)² + 6

Also (h, k) can be gotten from h = -b/2a = -8/3/(2 × 2/3) = -2

k = c - b²/(4·a) = 26/3 - (8/3)²/(4 × 2/3) = 26/3 - 8/3 = 18/3 = 6

k = 6

The standard form of the quadratic equation f(x) = a(x - h)² + k becomes;

f(x) = 2/3·(x + 2)² + 6

6 0
3 years ago
Which expression is equivalent to n + n - 0.18n?
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Linear Equations &amp; Linear Systems:
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Answer:

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Step-by-step explanation:

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