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topjm [15]
3 years ago
10

Simplify the expression: 4b + 5b² - 46 ²​

Mathematics
1 answer:
oee [108]3 years ago
6 0

Answer:

5 b^2 + 4 b - 2116

Step-by-step explanation:

Simplify the following:

5 b^2 + 4 b - 46^2

| | 4 | 6

× | | 4 | 6

| 2 | 7 | 6

1 | 8 | 4 | 0

2 | 1 | 1 | 6:

Answer: 5 b^2 + 4 b - 2116

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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>

3 0
3 years ago
Help this is due soon
vichka [17]

Step-by-step explanation:

22x13, 10x9, then both answers from the previous equations multiplied. Any questions?

8 0
3 years ago
What is the reciprocal of 2 3/8<br><br> a) -19/8<br> b)-8/19<br> c)8/19<br> d)19/8
attashe74 [19]
Answer is C) 8/19

you do ((2*8)+3)/8
making it 19/8
and the reciprocal is the opposite of that answer, so 8/19
6 0
4 years ago
The high temperature in a mountain city was 15°C what was the high temperature in degrees Fahrenheit
Allushta [10]
We know that

F-----------> temperature in degrees Fahrenheit
C----------> temperature in degrees Celcius
F=1.8C°+32°
F=1.8*(15° )+32°-------------> F=27°+32°---------> F=59°

the answer is 
The high temperature in a mountain city was 59° in degrees Fahrenheit

4 0
3 years ago
Robert randomly surveyed 10 ninth-grade students at Lincoln High School to determine their favorite color. Of the 10 students su
stich3 [128]

Answer:

he is not wrong 5/10 of people is equal to 50% of people

Step-by-step explanation:

5 0
4 years ago
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