Hey, how are you??:)

Write an equation of the line below.

statuscvo [17]

Answer:

y = -4x - 4

Step-by-step explanation:

Rise/Run

-8/2 = -4

Y-intercept:

-4

8 0

2 years ago

What is the midpoint of the segment shown below?

Aneli [31]

Answer:

(1, -3/2)

Step-by-step explanation:

The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1

The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2

(2+-5)/2 = -3/2

The midpoint is

(1, -3/2)

5 0

2 years ago

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A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.

nika2105 [10]

Answer:

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

$\bar X=2.55$ represent the sample mean for the late time for a flight

$\mu$ population mean

$\sigma=12$ represent the population deviation

n=76 represent the sample size

Confidence interval

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

The confidence interval for the true mean is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence level given is 0.95 or 95%, th significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ . If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got $z_{\alpha/2}=1.96$

Replacing we got:

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0

2 years ago

I will like to know how to solve this

Alexxandr [17]

This is a linear equation in x.

So you need to group like terms

$1 + 4x = - 5 + 7x$
Let us group the x terms on the Right Hand Side of the equation and the constant terms on the Left Hand Side.

$1 + 5 = 7x - 4x$
We can now simplify

$6 = 3x$
Now let us divide both sides by 3.

$\frac{6}{3} = \frac{3x}{3}$

This implies that

$2 = x$
or

$x = 2$
Let us our answer

$1 + 4(2) = - 5 + 7(2)$

$1 + 8 = - 5 + 14$
$9 = 9$
Good we are right

5 0

3 years ago

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A circle has a diameter of 10 cm. What is the best approximation of its area? Use 3.14 for pi.....you need radius not diameter i

makvit [3.9K]

Answer:

If it has a diameter of 10, divide it by 2 to get Radius (5) because Area = πr²

Then you do r * π *r which would be 78.5. so C is your answer.

Step-by-step explanation:

8 0

2 years ago

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