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Komok [63]
3 years ago
12

Y = 4x + 3

Mathematics
2 answers:
Igoryamba3 years ago
3 0
D) perpendicular!
A perpendicular's definition is: a straight line at an angle of 90° to a given line, plane, or surface.
And if you mark them on a graph you could see these two are opposite of each other.
Likurg_2 [28]3 years ago
3 0

Answer:

Perpendicular.

D is the correct option.

Step-by-step explanation:

The given equations are

y=4x+4\\\\y=-\frac{1}{4}x-4

The slope intercept form of a line is given by

y=mx+b

Here, m is the slope and b is the y intercept.

Comparing given equation with slope intercept form of the line

Slope of first line = 4

Slope of second line = -1/4

These two slopes are not equal hence, lines are not parallel.

We can see that -1/4 is the negative reciprocal of 4. Since.

4\cdot-\frac{1}{4}=-1

We know that the slopes of  perpendicular lines are negative reciprocal of each other.

Hence, the lines are perpendicular.

D is the correct option.

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Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering
Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

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To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

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The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

6 0
3 years ago
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Answer:

put 8/3

Step-by-step explanation:

Given

\frac{3}{10} n \:  =  \frac{4}{5}  \\ inserting \:   n \:  =  \frac{8}{3}  \: we \: get \:  \\  \frac{3}{10}  \times  \frac{8}{3}  =  \frac{4}{5}  \\ cancel \: 3 \: an d \: divide \: 8 \: and \: 10 \: by \: 2 \\ we \: get \\  \frac{4}{5}  =  \frac{4}{5}

8 0
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6 0
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Read 2 more answers
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