The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.
Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.
So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ
That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)
Answer: 264.22 to 312.98
Answer:
25 and 54
Step-by-step explanation:
(a)
6z² - 2z + 5 ← substitute z = 2
= 6(2)² - 2(2) + 5
= 6(4) - 4 + 5
= 24 - 4 + 5
= 20 + 5
= 25
(b)
64 - 5z ← substitute z = 2
= 64 - 5(2)
= 64 - 10
= 54
You just do -52 divided by 4 and get -13 as your answer.
m = -14
Answer:
7.55 miles
Step-by-step explanation:
Given that :
Distance of descent = 1.5 miles
New elevation point after descent = 6.05 miles
The initial elevation of the plane before descent will be :
New elevation point after descent + Distance of descent
(6.05 miles + 1.5 miles)
= 7.55 miles
Answer:
Any value of x makes the equation true.
Step-by-step explanation:
all real numbers
interval notation:(-infinity, infinity)
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