Answer:
Sheila earned $120 in interest.
Step-by-step explanation:
In order to calculate the interest earned by Sheila we can use the simple interest formula shown bellow:
i = P*r*t
Where i is the interested earned, P is the amount invested, r is the interest rate and t is the total time. For this case we have:
i = 800*0.03*5
i = 24*5
i = 120
Sheila earned $120 in interest.
Answer:10
Step-by-step explanation:
Answer:
20/9
Step-by-step explanation:
2/(9/10)=(2/1)(10/9)=20/9
Answer:
6√2
Step-by-step explanation:
Solving the given expression step by step:
72 = 2 × 2 × 2 × 3 × 3
Now for finding the square root we will make pair of two numbers of same values.
We have one pair of 2's and one pair of 3's and left one 2
Thus, √72 = 2 × 3 × √2 = 6√2
We rationalize denominator and change it into a simpler form as soon as possible.
Answer:
a. [ 0.454,0.51]
b. 599.472 ~ 600
Step-by-step explanation:
a)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=410
Sample Size(n)=850
Sample proportion = x/n =0.482
Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]
= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]
= [ 0.454,0.51]
b)
Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Samle Proportion = 0.482
ME = 0.04
n = ( 1.96 / 0.04 )^2 * 0.482*0.518
= 599.472 ~ 600