The probablity that the sample's mean length is greate than 6.3 inches is0.8446.
Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event. It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
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<u> 12x³ - 12x </u><u /> = 3/7 - 1/56x² - 3/7 = 3/7 - 3/7 - 1/56x² = -1/56x²
28x³ - 56x² + 28x
It should be C english :)
The equation is:
h ( t ) = - 16 t² + 60 t + 3
The toy rocket will reach the ground when: h ( t ) = 0
- 16 t² + 60 t + 3 = 0

t 1 = - 0.05
t 2 = 3.8
Answer:
C ) 3.80 s
<span>The right function is f(x)=3x^3-10x^2-81x + 28
You can realize that 7 is a root because it is in all the answers.
So you can divide the polynomial by x - 7. If you do it you can find that the quotient is 3x^2 + 11x - 4
Now you can use the quadratic formula to find the other two roots.
If you do it, you will find they are x = 1/3 and x = -4.
So the answer is option A) 7, -4, 1/3
And the polynomial can be written as (x - 7)(x + 4) (x -1/3)
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