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luda_lava [24]
3 years ago
13

Help please! and explain if you can

Mathematics
1 answer:
EleoNora [17]3 years ago
3 0

Answer:

4) y = 9

5) x = -1

6) y = -5x − 9

Step-by-step explanation:

4) x = 3 is a vertical line with an x-intercept of (3, 0).  It has an undefined slope.

A perpendicular line to that will be y = a, which is a horizontal line with a y-intercept of (0, a) and a slope of 0.  Since this line passes through (3, 9), the equation of the line must be y = 9.

5) The y-axis is x = 0.  A parallel line that includes the point (-1, -2) is x = -1.

6) Parallel lines have the same slope, so:

y = -5x + b

To find the value of b (the y-intercept), plug in the point (-2, 1):

1 = -5(-2) + b

1 = 10 + b

b = -9

y = -5x − 9

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A 64-ounce container of sports juice costs $6.50. A 48-ounce of the same juice costs $4.25. Which size container is the better b
Nady [450]

Answer:

Step-by-step explanation:

2

7 0
3 years ago
Solve for g. Show your work! g+6-3=31
Zielflug [23.3K]

Answer:

g=28, that may not be how the teacher would want you to show your work, but that's how I find the answer!

Step-by-step explanation:

6-3=3

31-3=28

28=g

So therefore 28+6-3=31

6 0
3 years ago
Suppose that in one metropolitan area, 25% of all home- owners are insured against earthquake damage. Four home-owners are to be
emmasim [6.3K]

Answer:

Step-by-step explanation:

Given that,

25% home owners are insecure of earthquake problem

If we select 4 home owners at random

let X denote the number among the four who have earthquake insurance

Let find the probability distribution of X

Let S- denotes a home owner who has insurance

Let F denotes a home owner who does not have insurance.

Then, P(S) =25% = 0.25

P(F) = 1 — P(S) = 1 —0.25

P(F) = 0.75

The possible outcomes of X is

X(0) = If no person has insurance

X(1) = If only 1 person has insurance

X(2) = If only 2 persons has insurance

X(3) = If only 3 persons has insurance

X(4) = If only 4 persons has insurance.

The cardinality of the sample space is n(C) = 2ⁿ = 2⁴ => 16

So, the sample space is given as

{FFFF, FFFS, FFSF, FFSS, FSFF, FSFS, FSSF, FSSS, SFFF, SFFS, SFSF, SFSS, SSFF, SSFS, SSSF, SSSS}

For X=0, the possible is {FFFF} i.e. no insurance, the one without insurance.

P(X) = 0.25×0.25×0.25×0.25

P(X) = 0.25⁴

P(X) = 0.00390625

For X=1, the possible outcome are

FFFS, FFSF, FSFF, SFFF

P(X=1) = 0.25³•0.75 + 0.25³•0.75 + 0.25³•0.75 + 0.25³•0.75

P(X=1) = 0.046875

For X=2 the possible outcomes are

FFSS, FSFS, FSSF, SFFS, SFSF, SSFF,

P(X=2)=0.25²•0.75²+0.25²•0.75²+ 0.25²•0.75²+ 0.25²•0.75²+ 0.25²•0.75²+ 0.25²•0.75²

P(X=2) = 0.2109375

For X=3 the possible outcomes are

FSSS, SFSS, SSFS, SSSF

P(X=3) = 0.25•0.75³+0.25•0.75³+ 0.25•0.75³+0.25•0.75³

P(X=3) = 0.421875

X=4 the possible outcomes are

SSSS

P(X=4) = 0.75×0.75×0.75×0.75

P(X=4) = 0.31640625.

Or

Using normal distribution

P(X=k) = ⁿCk • 0.25^k • 0.75^(4-k)

So,

P(X=0) = 4C0 • 0.25^0 • 0.75^4

P(X=0) = 0.31640625

P(X=1) = 4C1 • 0.25^1 • 0.75^3

P(X=1) = 0.421875

P(X=2) = 4C2 • 0.25^2 • 0.75^2

P(X=2) = 0.2109375

P(X=3) = 4C3 • 0.25^3 • 0.75^1

P(X=3) = 0.046875

P(X=4) = 4C4 • 0.25^4 • 0.75^0

P(X=4) = 0.00390625.

6 0
3 years ago
Plez halp with question bc im smol brain
Studentka2010 [4]

Answer:

B. y= 2x–15

Step-by-step explanation:

The equation that represents the line that passes through the points (8, 1) and (10,5) is y= 2x–15

"x" is found on the left hand side of the bracket and "y" is found on the right hand side of the bracket :)

(8, 1) and (10, 5)

x in the first bracket is 8 and x in the second bracket is 10.

y in the first bracket is 1 and y in the second bracket is 5.

When this equation is applied to find the value for y we get:

y= 2x-15

y= 2(8)-15

y= 16-15

y= 1

y= 2x-15

y= 2(10)-15

y= 20-15

y= 5

We got back the values of y and this means that the equation was correctly chosen and the answer is correct :)

6 0
3 years ago
A computer store bought a program at a cost of ​$20 and sold it at a selling price of ​$25. Find the percent markup.
lions [1.4K]

i dont know, sorry...............................................

5 0
3 years ago
Read 2 more answers
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