Answer:
[0.875;0.925]
Step-by-step explanation:
Hello!
You have a random sample of n= 400 from a binomial population with x= 358 success.
Your variable is distributed X~Bi(n;ρ)
Since the sample is large enough you can apply the Central Limit Teorem and approximate the distribution of the sample proportion to normal
^ρ≈N(ρ;(ρ(1-ρ))/n)
And the standarization is
Z= ^ρ-ρ ≈N(0;1)
√(ρ(1-ρ)/n)
The formula to estimate the population proportion with a Confidence Interval is
[^ρ ± 
*√(^ρ(1-^ρ)/n)]
The sample proportion is calculated with the following formula:
^ρ= x/n = 358/400 = 0.895 ≅ 0.90
And the Z-value is 
≅ 1.65
[0.90 ± 1.65 * √((0.90*0.10)/400)]
[0.875;0.925]
I hope you have a SUPER day!
Answer:
y = 2(x +1)(x -4)
Step-by-step explanation:
The intercepts are at grid points, so it is easiest to make use of those. For an x-intercept of "a", one of the factors of the function is (x -a). Here, the x-intercepts are -1 and +4, so the function has factors (x +1)(x -4).
When x=0, the product of these factors is (1)(-4) = -4, so there is a vertical scale factor of 2 to make the y-intercept be -8. The function can be written as ...
y = 2(x +1)(x -4)
$3000 from friend, $6000 from bank, and $1000 insurance
Answer:
sin22°
Step-by-step explanation:
Using the cofunction identity
cos x = sin (90 - x), then
cos68° = sin(90 - 68)° = sin22°
Answer:
3.65 through 3.74
Step-by-step explanation:
