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Andreyy89
3 years ago
14

Please help me what is the constant of proportionality between y an x in the graph below

Mathematics
1 answer:
icang [17]3 years ago
7 0

Answer:

2/ 3

Step-by-step explanation:

m = rise / run

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Given the system of equations:
mr_godi [17]

Answer:

Step-by-step explanation:

Given the system of equations:

2x + 3y = 15

X + 3y = 0

What is x?

2x + 3y = 15

X + 3y = 0         subtract the bottom equation fron the top one

2x - x + 3y - 3y = 15 - 0        see how the 3y - 3y equates to zero

  2x - x  = 15

        x  =  15        Now for  extra credit what is y?  

                                  X + 3y = 0

                                 15 + 3y = 0

                                 15 - 15 + 3y = 0 - 15

                                          3y = -15

                                        3y/3 = -15/3

                                           y  =  -5

-15

-5

0

5

15​

6 0
3 years ago
Suppose that 1% of all computers of a certain type experience CPU failure during the warranty period. If a simple random sample
Zigmanuir [339]

Answer:

A)

μ = 5

σ = 2.2

B)

P(0) = 0.0066

C)

P(x ≥ 4) = 0.74

Step-by-step explanation:

A) The expected value is going to be the same as the mean μ.

We can use the binomial probability distribution because there are a fixed number of trials (500), each trial is independent and there are only two possible outcomes (CPU failure or not) and the probability of failure has the fixed value 0.01.

For binomial distributions:

μ = np, where p is the probability (in this case of CPU failure) and n is the number of trials (500)

μ = (500)(0.01) = 5

σ = \sqrt{npq}, where q = 1 - p

σ = \sqrt{(500)(0.01)(0.99)} = 2.2

B) We can use the binomial probability formula

P(x)=(\frac{n!}{(n-x)!x!}) × pˣ × qⁿ⁻ˣ

P(0)=(\frac{500!}{(500-0)!0!}) × 0.01⁰ × 0.99⁵⁰⁰

C) In this case wee need to use a binomial distribution calculator. Setting n as 500, π = 0.01 and finding the probability above 3.

6 0
3 years ago
michael wittry has been investing inhis roth IRA retirement account for 20 years. Two years ago his account was worth $215,658.
Over [174]
Let's say

a = 215,658

ok... so.. he first lost 1/3 of that

\bf \textit{\underline{lost} }\frac{1}{3}a\qquad  \qquad  a-\cfrac{1}{3}a\implies a-\cfrac{a}{3}\implies \cfrac{3a-a}{3}\implies \cfrac{2a}{3}
\\\\\\
\textit{then he \underline{gained} }\frac{1}{2}\textit{ of }\frac{2a}{3}\qquad \qquad \cfrac{2a}{3}+\cfrac{\frac{2a}{3}}{2}\implies \cfrac{\frac{2a}{3}}{\frac{2}{1}}
\\\\\\
\cfrac{2a}{3}+\cfrac{2a}{3}\cdot \cfrac{1}{2}\implies \cfrac{2a}{3}+\cfrac{2a}{6}\implies \cfrac{4a+2a}{6}
\\\\\\
\cfrac{6a}{6}\implies \boxed{a}\implies 215,658


so, his nickname might just be even steven, because, he ended up with the same original amount after the 1/2 bump.
4 0
4 years ago
In order to buy a $38 pair of shoes, you have to borrow $16 from your friend. How much money did you start with
Aleksandr-060686 [28]

Answer:

22 dollars

Step-by-step explanation:

38 - 16 = 22

if they cost 38 subtract the amount you borrowed(16) and you get what you started with(22)

7 0
3 years ago
Read 2 more answers
PLEASE HELP IM STUCK PLS
QveST [7]

Answer:

<u>The slope is -3.</u>

Step-by-step explanation:

The slope is the Rise/Run between the two points.  The change in y for every change in x.  Take the two points and calculate the:

RISE = (-6 - 3) = -9

RUN = (8 - 5) = 3

Rise/Run, or slope, is = -9/3 or -3

I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.

3 0
3 years ago
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