Answer:
865
Step-by-step explanation:
We have that in 95% confidence level the value of z has a value of 1.96. This can be confirmed in the attached image of the normal distribution.
Now we have the following formula:
n = [z / E] ^ 2 * (p * q)
where n is the sample size, which is what we want to calculate, "E" is the error that is 2% or 0.02. "p" is the probability they give us, 5 out of 50, is the same as 1 out of 10, that is 0.1. "q" is the complement of p, that is, 1 - 0.1 = 0.9, that is, the value of q is 0.9.
Replacing these values we are left with:
n = [1.96 / 0.02] ^ 2 * [(0.1) * (0.9)]
n = 864.36
865 by rounding to the largest number.
Converting percentage to a decimal :
50%= 50 / 100 = 0.5
What is 50% of 15
=50% * 15
=0.5 * 15
=7.5
Answer:
-6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+14=7x+32−3x
x+14=7x+32+−3x
x+14=(7x+−3x)+(32)(Combine Like Terms)
x+14=4x+32
x+14=4x+32
Step 2: Subtract 4x from both sides.
x+14−4x=4x+32−4x
−3x+14=32
Step 3: Subtract 14 from both sides.
−3x+14−14=32−14
−3x=18
Step 4: Divide both sides by -3.
−3x/−3=18/−3
x=−6
Answer:
a
Step-by-step explanation:
follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time