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:
the first one is m, the second one is 5
Consider the triangle with vertices S (sink), D (dishwasher) and F (fridge). From the conditions data SD=3, SF=8 and ∠S=48°.
Use the cosine theorem to find unknown distance:
,
feet.
Then the distance between dishwasher and fridge is 6.39 feet.
Are these dimensions reasonable is up to kitchen owner))
Answer: 5+sqrt(97)/12, 5-sqrt(97)/12 or we write it as [5+/-sqrt(97)]/(12)
5x=6x^2-3
6x^2-5x-3=0
x=-b+/-sqrt(b^2-4ac)/2a
x=-(-5)+/-sqrt((-5^2-4(6)(-3))/2(6)
x= 5+/-sqrt(97)/12
And decimal form is;
x=1.237, -0.4041
If anyone has any questions please feel free to ask and I’ll reply ASAP. Thanks
Step-by-step explanation:
the 1st one is 2/11
the 2nd one is 6/20
