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frosja888 [35]
3 years ago
7

determine m contains the points with coordinates (-4,1) and (5,8) and line n contains the points with coordinates (6,-2) and (10

,7) are the lines parallel, perpendicular, or neither

Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0
I drew up a (bad looking but still useful) grid and it proves the answer to be neither. even if the lines went continued in each direction it shouldn't be possible 

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Interest.
nikitadnepr [17]

Answer:

Interest: $390 | Total: $715

Step-by-step explanation:

To answer the first question, we can use the simple interest formula provided:

I=Prt

<em>P = initial balance</em>

<em>r = annual interest rate</em>

<em>t = time</em>

<em />

First, change 8% into the decimal form:

8% -> \frac{8}{100} -> 0.08

Now, plug in the values:

I=325(0.08)(15)

I=390

Charlie made $390 of interest. To find the total, just add that number to $325.

390+325=715

Charlie's total money made was $715.

3 0
3 years ago
In a large lecture class, the professor announced that the scores on a recent exam were normally distributed with a range from 5
Mars2501 [29]

Answer:

The standard deviation of the scores on a recent exam is 6.

The sample size required is 25.

Step-by-step explanation:

Let <em>X</em> = scores of students on a recent exam.

It is provided that the random variable <em>X</em> is normally distributed.

According to the Empirical rule, 99.7% of the normal distribution is contained in the range, <em>μ </em>± 3<em>σ</em>.

That is, P (<em>μ </em>- 3<em>σ </em>< <em>X</em> < <em>μ </em>+ 3<em>σ</em>) = 0.997.

It is provided that the scores on a recent exam were normally distributed with a range from 51 to 87.

This implies that:

P (51 < <em>X</em> < 87) = 0.997

So,

<em>μ </em>- 3<em>σ </em>= 51...(i)

<em>μ </em>+ 3<em>σ </em>= 87...(ii)

Subtract (i) and (ii) to compute the value of <em>σ</em> as follows:

<em>   μ </em>-     3<em>σ </em>=    51

(-)<em>μ </em>+ (-)3<em>σ </em>= (-)87

______________

-6<em>σ </em>= -36

<em>σ</em> = 6

Thus, the standard deviation of the scores on a recent exam is 6.

The (1 - <em>α</em>)% confidence interval for population mean is given by:

CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

The margin of error of this interval is:

MOE = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Given:

MOE = 2

<em>σ</em> = 6

Confidence level = 90%

Compute the <em>z</em>-score for 90% confidence level as follows:

z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

Compute the sample required as follows:

MOE = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\2=1.645\times \frac{6}{\sqrt{n}}\\n=(\frac{1.645\times 6}{2})^{2}\\n=24.354225\\n\approx 25

Thus, the sample size required is 25.

4 0
3 years ago
Question 3 of 10
Viefleur [7K]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
1. There are apples, bananas, and pears in a basket. The probability of randomly picking an apple is to
Tamiku [17]
Help me I will help you
7 0
3 years ago
Why is the - sin of x the same as the sin of -x?
Neko [114]

Answer:

Sine is an odd function and presents positive values in the 1st and 2nd quadrants and negative values in the 3rd and 4th quadrants.

Step-by-step explanation:

-sin(x) = sin(-x)

This property is valid because the sine trigonometric function presents positive values in the first two quadrants and negative values in the third and fourth quadrants. The sine function is an odd function with symmetry with respect to the origin, which means that sin(x) and sin(-x) will always present opposite signs.

3 0
3 years ago
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