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Genrish500 [490]
3 years ago
9

Write an equation of the line that passes through the given point and is parallel to the given line. Please help!!

Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0

Answer: C   y= -3/2x + 11

Step-by-step explanation:

   So you  have to know the parallel lines have the same slopes but different y- intercepts.   so we will use the same slopes but we will calculate the y -intercept.

in the points (4,5)  5 is the y value and 4 is the x value. and we will plot it into the formula  y=mx + b  where m  is the  slope and we already know the slope is -3/2  but we need to find the y intercept.

5 =  -3/2(4)  + b

5=  -6 + b

+6    +6

b= 11    so now we know the y intercept is 11  so the equation will be               y= -3/2x + 11

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Question 15
larisa86 [58]

Answer:

The correct option is (C).

Step-by-step explanation:

According to the Central Limit Theorem if we have n unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample means is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

<em>μ</em> = 3.5

<em>σ</em> = 1.7078

<em>n</em> = 400 = number of times the experiment is repeated.

As the sample size is quite large, i.e. <em>n</em> = 400 > 30 the central limit theorem can be used to approximate the sampling distribution of the sample mean.

The mean of the distribution of sample means is:

\mu_{\bar x}=\mu=3.5

The standard deviation of the distribution of sample mean is:

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{1.7078}{\sqrt{400}}=0.0854

The distribution of the sample mean is:

\bar X\sim N(\mu = 3.5,\ \sigma=0.0854).

Thus, the correct option is (C).

4 0
3 years ago
16f + 24 = 8(2f + 3)
denpristay [2]
16f + 24 = 16f + 24
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3 years ago
The Dead Sea Depression is located 423 meters below sea level. Death Valley is located 86 meters below sea level. Which integer
Alex777 [14]

Answer: a

Step-by-step explanation:

Because you are finding the difference between 423 and 86

3 0
3 years ago
The snail moved 6 inches in 120 minutes. What was the average speed of the snail in inches per minute
marissa [1.9K]

Answer:

The answer is; the snail moved 1 inch every 20 minutes.

Step-by-step explanation:

120 divided by 6 is 20

8 0
3 years ago
Read 2 more answers
Evaluate the expression if a=−1, b=4, and c=6. <br><br> 3c2+2c+2c2
NeTakaya

Answer:

192

Step-by-step explanation:

3c²+2c+2c²

3(6)² + 2(6) + 2(6)²

3(36) + 12 + 2(36)

108 + 12 + 72

= 192

8 0
2 years ago
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