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creativ13 [48]
3 years ago
9

-x-3y=-1 -x-3y=2 what do the two equations represent

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Answer:

Step-by-step explanation:

-x - 3y = -1

-3y = x - 1

y = -1/3x + 1/3.....slope here is -1/3 and y int is 1/3

-x - 3y = 2

-3y = x + 2

y = -1/3x - 2/3...slope here is -1/3 and y int is -2/3

these two equations represent parallel lines. Equations that have the same slope and different y intercepts mean the lines are parallel and never cross each others path.

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3 years ago
Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on th
mariarad [96]

Answer:

Carmen's prediction is low because 200 times \frac{1}{4} is 50.

Step-by-step explanation:

First of all we are going to define the sample space for this exercise.

The sample space is Ω = {1,2,3,4,5,6,7,8}

Given the event A : ''Roll an 8-sided die an get a multiple of 4''

The probability for the event A is P(A)=\frac{2}{8}=\frac{1}{4}

Because they are two numbers (4 and 8) over a total of eight numbers (1,2,3,4,5,6,7,8) that are multiple of 4.

Now, given the random variable X : ''Total of numbers multiples of 4 If she rolls

an 8-sided die 200 times''

X can be modeled as a Binomial random variable.

X ~ Bi (n,p)

X ~ Bi (200,\frac{1}{4})

In which n is the total times she rolls the 8-sided die and p is the success probability.We define a success as obtain a number multiple of 4.

The mean for this variable is

E(X)=np=200.\frac{1}{4}=50

We answer that Carmen's prediction is low because 200 times \frac{1}{4} is 50.

8 0
3 years ago
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The coordinate plane shows the graph of the function f(x)=x^4−2x^2+1. The function is defined for all real numbers. Which statem
Dahasolnce [82]

Answer:

C. The function has a range that is all real numbers.

Step-by-step explanation:

Y has restraints- it doesn't go below 0

therefore it isn't all real numbers. it's more like y≥0

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3 years ago
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dlinn [17]
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3 years ago
Which of the following represents "54 is 9 times as many as 6"?
Mama L [17]

Answer:

54=9×6

Step-by-step explanation:

54is 9 times 6

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