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Your Question, -4(2x + 4) > 8x + 64 Solve for X
1) Expand -8x-16>8x+64
2) Add 16 to both sides -8x-16+16>8x+64+16
3) Simplify -8x>8x+80
4) Subtract 8x from both sides -8x-8x>8x+80-8x
5) Simplify -16x>80
6) Multiply both sides -1 (Reverse the inequality) (-16x) (-1) >80 (-1)
7) Simplify 16x<-80
8) divide both sides by 16 16x/16 < -80/16
9) Simplify x < -5
This should be your answer x < -5
Hopefully that helps you :)
The binomial distribution is given by,
P(X=x) =

q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) =

where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12
∴ P(X≤12) =

+

+

+

+

+

+

Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability.
Answer:
5th degree
Step-by-step explanation:
To solve this problem/table, you have to find the differences in the f(x) side of the table until the differences between the numbers are the same, and then you have your degree. Look at the image attached for more sense
Answer:
1 hr 38 min
Step-by-step explanation:
The start time is 7:20. The end time is 8:58.
When 1 hour passes by, the time is 8:20.
8:58 - 8:20 = 38 minutes
1 hour and 38 minutes passes by.
Answer:
3.924×10∧-9
Step-by-step explanation:
Royal flush contains five cards and it's probability is 0.3924%≈0.003924
Straight contain five cards and it's probability is 0.0001%≈0.000001
The probability including straight and royal flushes will be 0.003924×0.000001≈3.924×10∧-9