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Alexus [3.1K]
3 years ago
10

Last year Mr. Ingles total income was 52000+ total expenses were 53800 use expression I-E/12 where I represents total income in

a represents total expenses to find the hours difference between his income and expenses each month and explain its meaning
Mathematics
1 answer:
Olegator [25]3 years ago
8 0

Answer:

-$150

Step-by-step explanation:

Given:

(I - E) / 12

Where,

I = total income

E = total expenses

I = $52,000

E = $53,800

(I - E) / 12

= (52,000 - 53,800) / 12

= -1,800 / 12

= -150

-$150 shows that Mr. Engle's total expenses exceeds his total income per month with an average of $150

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zmey [24]

Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • He makes 90% of the free throws, hence p = 0.9.
  • He is going to shoot 3 free throws, hence n = 3.

The probability that he makes exactly 1 is P(X = 1), hence:

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

P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027

0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

3 0
2 years ago
The range of f(x) = 3x + 1.1 is {16.1, 19.1, 25.1). What is the domain?
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Answer:

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4 0
3 years ago
On two investments totaling $11,500, Peter lost 3% on one and earned 4% on the other. If his net annual receipts were $⁢201, how
BlackZzzverrR [31]
Total amount of money invested - $11500
X +Y = $11500. ----------(1)
Total yearly interest for thetwo a/c is - $201
-0.03X + 0.04Y = $201
Form (1)
X = 11500 - Y
Substitute for X
-0.03(11500 - Y) + 0.04 Y = $201
-345 + 0.03Y + 0.04Y =201
0.07Y = 546
Y = 7800 at 4 %
Calculate X
X = 11500 - Y
= 11500 - 7800
=3700 at - 3%
Check
-0.03×3700 + 0.04 × 7800 = $201
-111 + 312 = $201
$201 = $201
6 0
3 years ago
To make sure that a given parallelogram is a rectangle, at least how many of
jeka94

Answer:

it can be either all or none

Step-by-step explanation:

because if you have one it will be off set just trust me.

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THIS IS 8TH GRADE MATH (Pre-Algebra).
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First you need to set up a formula. Underline all of your givens:

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3 years ago
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