Answer:
0.242
Step-by-step explanation:
p = 0.08, q = 1 − p = 0.92, and n = 1000.
The mean and standard deviation are:
μ = p = 0.08
σ = √(pq/n) = 0.00858
The z score is:
z = (x − μ) / σ = -0.70
Using a calculator or z score table, the probability is:
P(Z < -0.70) = 0.242
It is helpful to write them in different ways
some ways to write them are
1.fractions
2.decimals
3.squareroots (if applicable)
so it would be more helpful in an equation to leave 6/7 in fractional form if you are going to manipulate it more, because 0.857142857142... is much harder to keep track of than 6/7
and sometimes, they want a percent which is easier to convert to from decimal form than from fractinoal form so ex 0.857142857142...=85.7% vs 6/7 to percent
sometimes there will be square roots and they are easier if left like that ex
√2=1.4142135623...
it would be easier to leav it in square root
it depends on the equation you are trying to solve, because different forms have different pros and cons, some are easier to work with in a certain form but not in another, sometimes, you will need to change between multipule forms during the same problem
Answer:
x = -56
Step-by-step explanation:
x/7 = -8
Multiply each side by 7
x/7 *7 = -8*7
x = -56
Given:
μ = 70, the mean
σ = 10, the standard deviation
The random variable is x = 65.
Calculate the z-score.
z = (x - μ)/σ = (65 -70)/10 = - 0.5
From standard ables, obtain
P(x<5) = 0.3085 ≈ 30%
The score of 65 is in the 30th percentile.
Answer: 30th
Answer:
125°
Step-by-step explanation:
x + 24 is equal to 1.
6 is equal to 4x + 1
1 and 4x + 1 = 180°
x + 24 + 4x + 1 = 180
4x + x + 24 + 1 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
5x/5 = 155/5
x = 31
(angle) 6 = 4x + 1
(angle) 6 = 4(31) + 1
(angle) 6 = 124 + 1
(angle) 6 = 125°
