Answer:
a) 151lb.
b) 6.25 lb
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that:
So
a) The expected value of the sample mean of the weights is 151 lb.
(b) What is the standard deviation of the sampling distribution of the sample mean weight?
This is
Answer:
L = 29.6 cm
Step-by-step explanation:
Let Length be L and Breadth be B
<u><em>Condition 1:</em></u>
Where Perimeter = 296 cm
=> 2L + 2B = 296
=> 2(L+B) = 296
<em>Dividing both sides by 2</em>
=> L + B = 148 ------------------(1)
<u><em>Condition 2:</em></u>
=> B = -------------------------(2)
Putting Equation 2 in 1
=> L + = 148
Multiplying both sides by 3
=> 3L + 2L = 148
=> 5L = 148
=> L = 148/5
=> L = 29.6 cm
The amount will be equal to $1348.07. The correct option is A.
<h3>What is compound interest?</h3>Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Compound Interest Formula:
A = Account Balance
P = Principle/Initial Amount
r = Rate of Interest (decimal)
n = Number of times compounded (per year)
t = Number of Years
Given Information
Account Balance = ?
It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.
This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.
Number of times compounded per year = 6
This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.
Number of years = 15
Solve by plugging the given values into the formula.
A = 1000 x (1.14)
A = $1348.07.
Therefore, the amount will be equal to $1348.07. The correct option is A.
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