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Lisa [10]
2 years ago
3

The table gives the numbers of teachers and students in grades 6 to 8 at Earhart Middle School. Grade Teachers Students 6 1 25 7

2 50 8 3 75 Which teacher-to-student ratio maintains the proportional relationship described in the table?
Mathematics
1 answer:
babunello [35]2 years ago
7 0
Rewriting the table:

Grade          Teachers           Students
    6                     1                        25
    7                     2                       50
    8                     3                       75

Grade 6 to 8 all maintained the same proportional relationship because for every one teacher, there's 25 students 
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zloy xaker [14]
To find the dimensions you can just factor the equation...

x^2+4x-21

x^2-3x+7x-21

x(x-3)+7(x-3)

(x+7)(x-3) and this is equal to LW or WL

And note that x>3 for any possible solution.

3 0
2 years ago
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Let B ∼ Bin(20,0.2). Compute the following probabilities. I would suggest computing these with a hand calculator using the formu
Makovka662 [10]

Answer:

a) 0.2182

b) 0.0691

c) 0.9309

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly b successes on n repeated trials, and B can only have two outcomes.

P(B = b) = C_{n,b}.p^{b}.(1-p)^{n-b}

In which C_{n,b} is the number of different combinations of b objects from a set of n elements, given by the following formula.

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

And p is the probability of B happening.

In this problem we have that:

Bin(20,0.2).

This means that n = 20, p = 0.2

(a) P(B=4).

P(B = b) = C_{n,b}.p^{b}.(1-p)^{n-b}

P(B = 4) = C_{20,4}.(0.2)^{4}.(0.8)^{16} = 0.2182

(b) P(B≤1).

P(B \leq 1) = P(B = 0) + P(B = 1)

P(B = b) = C_{n,b}.p^{b}.(1-p)^{n-b}

P(B = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115

P(B = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576

P(B \leq 1) = P(B = 0) + P(B = 1) = 0.0115 + 0.0576 = 0.0691

(c) P(B>1).

Either B is less than or equal to 1, or B is larger than 1. The sum of the probabilities of these events is decimal 1. So

P(B \leq 1) + P(B > 1) = 1

We have that, from b), P(B \leq 1) = 0.0691

So

0.0691 + P(B > 1) = 1

P(B > 1) = 0.9309

8 0
2 years ago
Suppose Johnny invests $41,745 into an account, which has been earning interest for many years and he now has a total of $39,974
Tcecarenko [31]
The interest means the amount that adds up to your previous capital that you invest in the past. If you invest an amount of money and get an interest revenue out of it, the amount of your capital will be increased, not decreased.
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After 8 years a loan grows to $75 210. If the interest was compounded annually at a rate of 8.5%, find the size of the initial l
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Given:
Future Value = $75,210
term = 8 years
rate = 8.5%
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In this case, we need to find the present value of the loan. Compounded means that even the interest has an interest.

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PV = 75,210 / (1.085)⁸

PV = 75,210 / 1.9206

PV = 39,159.64

Initial loan is $39,159.64
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3 0
2 years ago
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90 degrees you are looking to your side

180 degrees you are looking behind you

around origin of 0,0

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8 0
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