Answer:
Step-by-step explanation:
Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
number of samples
From the information given,
µ = 15
σ = 4
n = 31
We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as
P(14.5 ≤ x ≤ 15.5)
For x = 14.5
z = (14.5 - 15)/(4/√31) = - 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.2420
For x = 15.5
z = (15.5 - 15)/(4/√31) = 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.7580
Therefore,
P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160
Answer: The answer is B
Step-by-step explanation:
Dale = 5 miles
Chan = 2.5 miles
5 ÷ 2.5 = 2
Dale ran twice as fast as Chan
We know, y - y1 = m(x - x1)
y - 9 = 2(x - 3)
y - 9 = 2x - 6
y = 2x + 3
In short, Your Answer would be Option B
Hope this helps!
Answer:12
Step-by-step explanation:
3 divided by 2 = 1.5
1.5x8=12
He used 12 cups of water
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