Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Answer:
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 158.9
Standard Deviation, σ = 90.4
We are given that the distribution is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.39
Calculation the value from standard normal z table, we have,
133.68 separates the bottom 39% means from the top 61% means.
That's a <em>rhombus</em>. If it has one interior right angle, then
it's a special case of rhombus known as a "square".
Answer:
The unit rate for the first station is 2.1. The unit rate for the second station is 2.19. The unit rate for the last station is 2.07.
Step-by-step explanation:
25.20 divided by 12 is 2.1
19.71 divided by 9 is 2.19
33.12 divided by 16 is 2.07
Xy=130
y=3+x
x(3+x)=130
x²+3x-130=0
(x+13)(x-10)=0
x= -13 or 10
since the question says X and Y are positive we just dismiss-13
x=10
and y=13
