Answer:
x = -7/40
, y = -11/20
Step-by-step explanation:
Solve the following system:
{12 x - 2 y = -1 | (equation 1)
4 x + 6 y = -4 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{12 x - 2 y = -1 | (equation 1)
0 x+(20 y)/3 = (-11)/3 | (equation 2)
Multiply equation 2 by 3:
{12 x - 2 y = -1 | (equation 1)
0 x+20 y = -11 | (equation 2)
Divide equation 2 by 20:
{12 x - 2 y = -1 | (equation 1)
0 x+y = (-11)/20 | (equation 2)
Add 2 × (equation 2) to equation 1:
{12 x+0 y = (-21)/10 | (equation 1)
0 x+y = -11/20 | (equation 2)
Divide equation 1 by 12:
{x+0 y = (-7)/40 | (equation 1)
0 x+y = -11/20 | (equation 2)
Collect results:
Answer: {x = -7/40
, y = -11/20
Answer:
= 21.6216% decrease
Step-by-step explanation:
Calculate percentage change
from V1 = 29.6 to V2 = 23.2
(V2−V1)|V1|×100
=(23.2−29.6)|29.6|×100
=−6.429.6×100
=−0.216216×100
=−21.6216%change
=21.6216%decrease
Answer:
x = 9
Perimeter = 74
Area = 342
Step-by-step explanation:
First, find x. to do so, set your formula up as
18 = 8x - 54
18 + 54 = 8x
72 = 8x
72/8 = x
9 = x
Now that you have x, find your missing side
2x + 1 = y, x
2 * 9 + = y
19 = y
Your perimeter is P = 2(l+W)
P = 2(18 * 19)
P = 74
Your area is A = wl
A = 19 * 18
A = 342
<span>(2x + 2) - (3x + 11)
Subtract 3x from 2x while subtracting 11 from 2
Final Answer: B.) -x - 9</span>
Answer:
Step-by-step explanation:
We define X the random variable that represent the heights of a population for ten year old children, and for this case we know the distribution for X is given by:
Where
and
We want to find this probability:

We can use the z score formula to solve this problem given by:
Using this formula we have:
And we can find this probability with this difference
We can use tables for the normal standard distribution, excel or a calculator and we got this