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3 years ago

What is the midpoint of the segment with endpoints (-1,6) and (0,7)

Mathematics

1 answer:

polet [3.4K]3 years ago

4 0

Answer:

( -0.5 , 6.5 )

Step-by-step explanation:

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A sample with mean of 85 and SD of 12 is transformed into z-scores. After the transformation, what are the values for the mean a

MrRa [10]

Answer:

The value remain unchanged.

Step-by-step explanation:

By Z score, we mean:

Z = $\frac{x-\mu}{\sigma}$ , if we substitute the given values of mean and standard deviation, we obtain the z score value. That is,

Z = $\frac{85 - 0}{12}$ = 85/12 = 7.083333.

NB: We assume that mean and standard deviation are in the same units.

5 0

3 years ago

The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.

pogonyaev

Answer:

A.Because ,center is (3,2)and point is (-2-3) .

and answer is (x-3)2+(y+2)2=52.

6 0

3 years ago

What equation best models this data? (Use y to represent the population in millions, and t to represent the year, assuming that

lapo4ka [179]

Answer:

y = 2.31x + 309.35

Step-by-step explanation:

Whenever you are checking for a best fitting equation you want to check if it has a constant slope. If it does then the relation is linear and super easy.

So, since the t values are increasing by the same amount you want to see if the y values are too. And they are, each population entry is increasing by 2.31, this is the slope.

Also, keep in mind you can caluclate slope with the equation $\frac{y_2-y_1}{x_2-x_1}$ here x is replaced by t though.

Now, since we know it's linear and we know the slope we can find the equation with the formula y - y1 = m(x - x1) where again, x is replaced by t and m is the slope 2.31

I am just going to use the first point. so x1 = t1 = 0

y - 309.35 = 2.31(x-0)

y = 2.31x + 309.35

Let me know if there was something you didn't understand.

5 0

3 years ago

Solve the equation 3/4x+3-2x = -1/4+1/2x+5

elena55 [62]

Hi there! The answer is x = -1

Let's solve this equation step by step!
$\frac{3}{4} x + 3 - 2x = - \frac{1}{4} + \frac{1}{2} x + 5$

First collect terms.
$- 1 \frac{1}{4} x + 3 = \frac{1}{2} x + 4 \frac{3}{4}$

Subtract (1/2)x from both sides.
$- 1\frac{3}{4} x + 3 = 4 \frac{3}{4}$

Subtract 3 from both sides.
$- 1\frac{3}{4} x = 1 \frac{3}{4}$

And finally divide by -1 3/4
$x = \frac{7}{4} \div - \frac{7}{4} = \frac{7}{4} \times - \frac{4}{7} = - \frac{28}{28} = - 1$

8 0

3 years ago

Read 2 more answers

Help please!

Alina [70]

Step-by-step explanation:

Given

f(x) = 8x - 9

Then

For a.

f(3y - 1 ) = 8(3y - 1 ) - 9

= 24y - 8 - 9

= 24y - 17

Now for b.

f(x) = - 23

or, 8x - 9 = - 23

8x = - 23 + 9

8x = - 14

x = - 14 / 8

x = - 7 / 4

Hope it will help :)

7 0

3 years ago