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erik [133]
2 years ago
11

8.

Mathematics
2 answers:
Sholpan [36]2 years ago
7 0
D because of the distribution property
zalisa [80]2 years ago
4 0

Answer:

4y + 12 is equivalent to D

Step-by-step explanation:

4(y+3)

4(y) = 4y

4(3) = 12

so it's D

Hope this worked !

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Calculate the standard score of the given X value, X=28.3, where μ=26.3 and σ=28.1 and indicate on the curve where z will be loc
zmey [24]

Answer:

Standard score z=0.07

Step-by-step explanation:

The z-score, or standard score, represents an equivalent value for X but in the standard normal distribution, where μ=0 and σ=1.

For X=28.3 in a normal distribution with μ=26.3 and σ=28.1, the standard score can be calculated as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{28.3-26.3}{28.1}=\dfrac{2}{28.1}=0.07

This value is 0.07 standard deviations right to the mean.

In the picture attached, we have located the z-score.        

5 0
3 years ago
Write an equation in point-slope form for the line.<br> (1,3) <br> (0,1)<br> m=4
Anna [14]

Given coordinates (1,3) and (0,1).

In order to find the equation of line, we need to find the slope between given coordinates.

We know slope formula,

m= \frac{y2-y1}{x2-x1}

We have (x1,y1) = (1,3) and (x2,y2) = (0,1).

Plugging values of x1,y1,x2 and y2 in slope formula, we get

m=\frac{1-3}{0-1}

Simplifying top and bottom of the fraction we got for slope

m=\frac{-2}{-1}=2

We got slope m=2.

We are given second point (0,1), where x-coordinate is 0 and y-coordinate is 1.

y-intercept is a point on y-axis, where x=0.

Therefore, y-intercept = 1.

Now, applying slope-intercept form of the linear equation

y=mx+b, where m is the slope and b is y-intercept.

m=2 and b=1.

Plugging values of m and b in slope-intercept form, we get

y=2x+1.

Therefore, point-slope form for the line is y=2x+1.

5 0
2 years ago
One safe investment pays 10% per year, and a more risky investment pays 13% per year.
Maru [420]

Answer:

0.10x + 0.13y = 10780

x + y = 100000

x = 74000 --------------10%

y = 26000 --------------13% (more risky)

8 0
1 year ago
Express a(2) (2a(-1/2)+a) in its simplest form
Soloha48 [4]
First lets simplify the first term and yield (2a)

The second term:
1.   2a * (-1/2) = -a
2.   -a + a = 0

Now we have simplified both terms to: (2a) (0)

Anything multiplied by 0 is 0, so the answer is also 0. 
4 0
3 years ago
Read 2 more answers
Is 2.34 a rational number?
Musya8 [376]

yes

A rational number is a number which can be expressed in the form

\frac{a}{b} where a and b are integers

now 2. 34 = 2 \frac{34}{100} = \frac{234}{100}→ a rational number


3 0
3 years ago
Read 2 more answers
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