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dmitriy555 [2]
3 years ago
14

1) Last year, Springfield Middle School had 640 students. This year, it has 480

Mathematics
1 answer:
Svetach [21]3 years ago
6 1

Answer: If my calculations are correct, it'd be 160% percent decrease

Step-by-step explanation:

you subtract 640 and 480, 640%-480%= 160%

laylaW
3 years ago
I can't take this anymore. Everywhere I go to find the answer to this question says it is 160%. Well it's NOT. The answer is one of these four: 25%, 75%, 80%, or 37%. NOT 160%. You can't just subtract the numbers there is a system to math ya know. Sorry if that seemed rude (i know it was), but I am kinda done with this.
laylaW
3 years ago
If you did 640-160% you'd get -384.
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A basketball player makes a free throw 82.6% of the time. The player attempts 5 free throws. Use a histogram of the binomial dis
DiKsa [7]

Answer:

The most likely outcome is exactly 4 free throws

Step-by-step explanation:

Given

n = 5 --- attempts

p = 82.6\% ---- probability of a successful free throw

p = 0.826

Required

A histogram to show the most likely outcome

From the question, we understand that the distribution is binomial.

This is represented as:

P(X = x) = ^nC_x * p^x * (1 - p)^{n-x}

For x = 0 to 5, where x represents the number of free throws; we have:

P(X = x) = ^nC_x * p^x * (1 - p)^{n-x}

P(X = 0) = ^5C_0 * 0.826^0 * (1 - 0.826)^{5-0}

P(X = 0) = ^5C_0 * 0.826^0 * (0.174)^{5}

P(X = 0) = 1 * 1 * 0.000159 \approx 0.0002

P(X = 1) = ^5C_1 * 0.826^1 * (1 - 0.826)^{5-1}

P(X = 1) = ^5C_1 * 0.826^1 * (0.174)^4

P(X = 1) = 5 * 0.826 * 0.000917 \approx 0.0038

P(X = 2) = ^5C_2 * 0.826^2 * (1 - 0.826)^{5-2}

P(X = 2) = ^5C_2 * 0.826^2 * (0.174)^{3}

P(X = 2) = 10 * 0.682 * 0.005268 \approx 0.0359

P(X = 3) = ^5C_3 * 0.826^3 * (1 - 0.826)^{5-3}

P(X = 3) = ^5C_3 * 0.826^3 * (0.174)^2

P(X = 3) = 10 * 0.5636 * 0.030276 \approx 0.1706

P(X = 4) = ^5C_4 * 0.826^4 * (1 - 0.826)^{5-4}

P(X = 4) = 5 * 0.826^4 * (0.174)^1

P(X = 4) = 5 * 0.4655 * 0.174 \approx 0.4050

P(X = 5) = ^5C_5 * 0.826^5 * (1 - 0.826)^{5-5}\\

P(X = 5) = ^5C_5 * 0.826^5 * (0.174)^0

P(X = 5) = 1 * 0.3845 * 1 \approx 0.3845

From the above computations, we have:

P(X = 0)  \approx 0.0002

P(X = 1) \approx 0.0038

P(X = 2)  \approx 0.0359

P(X = 3)  \approx 0.1706

P(X = 4)  \approx 0.4050

P(X = 5) \approx 0.3845

See attachment for histogram

<em>From the histogram, we can see that the most likely outcome is at: x = 4</em>

<em>Because it has the longest vertical bar (0.4050 or 40.5%)</em>

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