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Elis [28]
2 years ago
15

Consider the equation 3p – 7 p = 13. what is the resulting equation after the first step in the solution?

Mathematics
1 answer:
never [62]2 years ago
7 0

Answer:

-4p=13

Step-by-step explanation:

-3p-7p=13

-4p=13

p=-13/4

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There were 20 boys and 20 girls in a chorus. What is the ratio of boys to girls
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Answer:

1:1

Step-by-step explanation:

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3 years ago
Task 1
CaHeK987 [17]

Answer:

part 1 : y = x^2 + 3x + 5

y = x + 13

solution:

x^2 + 3x + 5 = x + 13

x^2 + 2x -8 = 0

(x+4)(x-2) = 0

x = -4 or x = 2

if x = -4, y = 9

if x = 2 , y = 15

part 2 : x^2 + 2x + 1 = 0

(x + 1)^2 = 0

x = -1

y = 1

task 2

part 1 : Let our two digit number be 26

Next, we rewrite it as a difference of two numbers

26=32-6

We want to square 26 using the identity:  

In this case,

x=32

y=6

Substituting into the identity

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7 0
3 years ago
The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia
KengaRu [80]

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = \frac{X-\mu}{\sigma} = \frac{X-70}{4}

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = \frac{z-70}{4} . We have

0.1 = P(X > z) = P(\frac{X-70}{4} > \frac{z-70}{4}) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

\frac{z-70}{4} = 1.28\\z = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Download pdf
8 0
3 years ago
Find the equation of the line.<br> Use exact numbers.
Citrus2011 [14]

Answer:

y = 4x + -9

Step-by-step explanation:

The y intercept which is -9, is the point in which the graph crosses the x-axis

In order to find the slope we need to identify two clear points on the graph.

- (0, -9)

- ( 1, -5)

Now that we have our two points we need to find the distance between them.

As you can see on the attachment the distance between the two points is 4 units up and 1 unit to the right, therefore the slope is 4/1 = 4.

Final Answer: y = 4x + -9

3 0
2 years ago
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