Answer:
This may not be the numbers but just follow the way in how i did it hope it helps!!!
Step-by-step explanation:
SA= 2lw x 2lh x 2wh
Length - 5m
Width - 4m
Height - 6m
= 2 (5 x 4)+2 (5 x 6)+2 (4 x 6)
=2 ( 20)+2 (30)+2 (24)
= 40 + 60 + 48
=148
The dimensions of a second rectangular prism that will have the same surface area will be the below:
Length - 6m
Width - 5m
Height - 4m
SA = 2lw + 2lh + 2wh
= 2(6 x 5)+2 ( 6 x 4) +2 ( 5 x 4)
=2(30)+2 (24)+2 (20)
=60 + 48 + 40
= 148
Answer: 1) 0.6561 2) 0.0037
Step-by-step explanation:
We use Binomial distribution here , where the probability of getting x success in n trials is given by :-
, where p =Probability of getting success in each trial.
As per given , we have
The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10
Sample size : n= 4
Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.
1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = 
∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.
2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.
= ![P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037](https://tex.z-dn.net/?f=P%28X%3E2%29%3D1-P%28X%5Cleq2%29%5C%5C%5C%5C%3D1-%5BP%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D2%29%5D%5C%5C%5C%5C%3D%201-%5B0.6561%2B%5E4C_1%280.10%29%5E1%280.90%29%5E%7B3%7D%2B%5E4C_2%280.10%29%5E2%280.90%29%5E%7B2%7D%5D%5C%5C%5C%5C%3D1-%5B0.6561%2B%284%29%280.0729%29%2B%5Cdfrac%7B4%21%7D%7B2%212%21%7D%280.0081%29%5D%5C%5C%5C%5C%3D1-%5B0.6561%2B0.2916%2B0.0486%5D%5C%5C%5C%5C%3D1-0.9963%3D0.0037)
∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.
Answer:
354
Step-by-step explanation:
44+310=354. ejeihrbebeh
Answer:
s=15
r=10
Step-by-step explanation:
What we know)
The measure of a line is 180º
If two parrel lines are cut by a transversal, the corresponding angles are congruent (corresponding angles postulate)
What we can figure out)
The angle measuring 3r+3s and 6r+3s are on the same line, so
3r+3s+6r+3s=180
3r+3s and 6r+s are corresponding, so
3r+3s=6r+s
Solve)
Now, we just need to solve the equations.
3r+3s+6r+3s=180 can be condensed into 9r+6s=180 by combining like terms. Then, you can divide by 3 to get 3r+2s=60
3r+3s=6r+s can be turned into 2s=3r by subtracting 3r and s.
So we have 3r+2s=60 and 2s=3r
We can substitute 2s for 3r
2s+2s=60
4s=60
s=15
Then, we can plug s=15 into the equation
2(15)=3r
30=3r
r=10
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