EXPLANATION
Since the circumference of the circle is 9.42, we can get the diameter by applying the following relationship:
Isolating the diameter:
Plugging in the numbers:
Therefore, the diameter is equal to 3 inches.
Answer:
is it a question or equation?
Step-by-step explanation:
Answer:you got the answer by any chance I need it!!
Step-by-step explanation:
Answer:
c, Z
Step-by-step explanation:
x+y=4
<u>y+z=5</u>
y=4-x
4-x+z=5
<u>-</u><u>x</u><u>+</u><u>z</u><u>=</u><u>1</u>
z=1+x
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
