Answer:
For a pair of randomly selected in- and out-of-state students, the sum of their tuition typically varies from the mean of $6,348.75 by about $1,508.48.
Step-by-step explanation:
Given
Required
Interpret the standard deviations
In statistic, standard deviation is a measure of how the given data lies away (or varies) from the mean.
This implies that:
For the in-state students, the standard deviation measures how the sum of their tuition varies from 6348.75
For the out-state students, the standard deviation measures how the sum of their tuition varies from 1508
The second equation is perfect. We can add y to both sides to make the equation equal x.
X=5+y; let's plug that in for x in the first equation.
2(5+y)+3y=25
10+2y+3y=25
5y+10=25
Let's subtract 10 from both sides.
5y=15
Now divide both sides by 5.
Y=3
So y is 3. We can plug 3 in for y in the second equation.
X-3=5
X=8
So, X=8 and Y=3.
Read this article https://weteachscience.org/mentoring/resources/lesson-plans/algebra-1-%E2%80%93-how-to-graph-a-linea...
Answer:
-2p - 1
Step-by-step explanation:
The width of the H is 1/2 + 1 + 1/2 = 2 inches. Since the borders are the same on all sides, they are (4 -2)/2 = 1 inch wide all around. That means the height of the H is 5 -2*1 = 3 inches.
The area of the H is 2*(1/2*3) +(1/2*1) = 3 1/2 square inches.
The area of the overall painting is 4*5 = 20 square inches.
Then the fraction that is beige is
.. (20 -3.5)/20 = 16.5/20 = 82.5/100 = 82.5%
_____
Each of the actual dimensions is 6 times that shown in the calculation above. You could say we chose to factor out the 6s and cancel them in the ratio.
