When you have an algebraic expression including brackets, you always multiply what's on the inside by what is on the outside. This means that you would do -2 × 5x = -10x, and then -2 × -6 = 12, so your answer would be -10x + 12.
I hope this helps!
Answer:
1300
Step-by-step explanation:
add 60x2+70+45x3
get 325
multaply times 4 because he gets this stuff then goes back and gets it 3 more times
get 1300
Answer:
a) P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation = P(z > 1) = 0.159
Step-by-step explanation:
a) This question can be solved using binomial distribution function formula
Using Binomial,
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of refrigerators to be examined before getting 5 refrigerators with defective compressors = 6
x = Number of successes required = 5
p = probability of success = probability of examining a refrigerator with defective compressor out of the total 12 = 5/12 = 0.4167
q = probability of failure = probability of examining a refrigerator without defective compressor out of the total 12 = 1 - (5/12) = 7/12 = 0.5833
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833)⁶⁻⁵
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833) = 1(0.01256)(0.5833) = 0.04397
P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation represents Z-score of z > 1
Using the normal distribution tables,
P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159
<span>$16,000 / (100% - 20%) = $16,000 / .8 = $20,000
to verify, work the answer backwards.
$20,000 - $20,000 * 20% = $20,000 - $4,000 = $16,000
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