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!
add 6 plus 33 then do x+1 then you divide
Step-by-step explanation:
Answer:
A) 50
Attached is the image of the figure.
Step-by-step explanation:
Area of a circle can be expressed as;
Area A = πr^2 ......1
Where;
r = radius
From the attached image, the shape is a Circle and the diameter of the circle is 8 units.
Diameter d = 8
Radius r = diameter/2 = 8/2 = 4 units
Substituting the radius into equation 1;
Area A = π × 4^2 = 16π
Area A = 50.265
Area A = 50 square units (approximately)
Answer: b. Side BC and Side KL
Step-by-step explanation:
Only these two lines are in the same positions.
In this question, we're trying to find how many bales of hay the farmer needs to get in order to feed 6 horses
First, we would need to find how many bales of hay each horse eats.
Find this by dividing 64 by 4
64 ÷ 4 = 16
We now know that each horse eats 16 bales of hay
Now, multiply 16 by 6 in order to find how many bales of hay the farmer needs to get to feed 6 horses.
16 × 6 = 96
Therefore, the farmer needs to get 96 bales of hay in order to feed 6 horses.
Answer:
96 bales of hay
