= 0.3133
Given: μ = 560
σ = 90
To find: P (490 < X < 560)
Normal distributions are symmetric, unimodal, and asymptotic. A normal distribution is determined by two parameters the mean and the variance. A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. It's always easy to solve questions in terms to standard normal
Hence, converting normal distribution to standard normal gives:
P(490 < X < 560) = ≤
= P(0 ≤ Z < 0.888)
= P (z<0.89) - P(z ≤ 0)
Using standard normal table,
= 0.8133 - 0.5
P(490 < X < 560) = 0.3133
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Answer:
She bought 6 erasers.
Step-by-step explanation:
Answer:
f(x) = 1.2x
Step-by-step explanation:
Given:
f(x - 5) = 1.2x - 6
Required:
Find f(x)
To solve f(x), we have to express f(x - 5) in terms of f(x).
This is done as follows
f(x - 5) = 1.2x - 6
Factorize the expression at the right hand side
f(x - 5) = 1.2(x - 5)
Now we can solve for f(x) by substituting x for x - 5 in the above expression (on the right hand side and the left hand side)
f(x) = 1.2x
Hence, if f(x - 5) = 1.2x - 6 then f(x) = 1.2x
Answer:
No solution
Step-by-step explanation:
The question is 4(3x-5)=12x-24
so we do the step:12x-20=12x-24
No solution.
Answer:
rational because it's a decimal