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Pie
3 years ago
13

Convert 2x+5y=-3 into y=mx+b form

Mathematics
1 answer:
GalinKa [24]3 years ago
6 0
5y = -2x-3
y= -2x/5 - 3/5
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What is the value of Z
KiRa [710]

Answer:

33.11

Step-by-step explanation:

Use the pythagorean theorem. 30^2 + 14^=z

6 0
3 years ago
Carmen is writing an article for a magazine. She will be paid a fee and also will be paid for each word that is published. The t
enot [183]

Answer:

The inverse function of f(x)=2.5*x+150 is f⁻¹(x)=\frac{2}{5}x-60

Step-by-step explanation:

An inverse or reciprocal function of f (x) is called another function f ⁻¹(x) that fulfills that:

If f(a)=b then f⁻¹(b)=a

That is, inverse functions are functions that do the "opposite" of each other. For example, if the function f (x) converts a to b, then the inverse must convert b to a.

To construct or calculate the inverse function of any function, you must  follow the steps below:

Since f (x) or y is a function that depends on x, the variable x is solved as a function of the variable y. And since inverse functions swap the input and output values ​​(that is, if f (x) = y then f⁻¹(y) = x), then the variables are swapped and write the inverse as a function.

You know that he function f(x) = 2.5*x + 150 or y=2.5*x +150

Solving for x:

2.5*x +150=y

2.5*x= y-150

x=\frac{y-150}{2.5}

x=\frac{y}{2.5}-\frac{150}{2.5}

x=0.4y-60=\frac{2}{5}y-60

Exchanging the variable, you obtain that <u><em>the inverse function of f(x)=2.5*x+150 is f⁻¹(x)=</em></u>\frac{2}{5}x-60<u><em></em></u>

7 0
3 years ago
The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di
Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

5 0
3 years ago
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Elis [28]
I think its the first one
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2 years ago
Read 2 more answers
What is rounding and estimate 253,495 - 48,617=
fomenos
Rounding up or down to the nearest whole number, 253,000-49,000=204,000
4 0
3 years ago
Read 2 more answers
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