Answer:
Step-by-step explanation:
We have the product, .
It is known that,
'When we multiply a scalar with a matrix, the scalar is multiplied by each element of the matrix'.
So, we get,
.
⇒
⇒
So, the resulting product is .
Answer:
Step-by-step explanation:
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
The formula for Simple Interest = PRT
From above question, we have to find the Principal
The simple interest on a certain sum for 5years at 8% per annum is Rs200
Hence,
R = 8%
T = 5 years
Rs 200 = P × 8% × 5
P = 200/8% × 5
P = Rs500
The principal = Rs 500
The simple interest on the same sum for 3years and 4months at 18% per annum.
Simple Interest = PRT
R = 18%
T = 3 years and 4 months
Converted to years
T = 3 + (4 months/12 months)
T = 3.33 years
Hence,
Simple Interest = Rs 500 × 18% × 3.33 years
= Rs 299.7
-6 so option D is the answer
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is
The sample mean is
The standard deviation is
The significance level is
The Null Hypothesis is
The Alternative Hypothesis is
The test statistic is mathematically represented as
Substituting values
Now the critical value for is
This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct
Answer:
the approximate probability that the insurance company will have claims exceeding the premiums collected is
Step-by-step explanation:
The probability of the density function of the total claim amount for the health insurance policy is given as :
Thus, the expected total claim amount = 1000
The variance of the total claim amount
However; the premium for the policy is set at the expected total claim amount plus 100. i.e (1000+100) = 1100
To determine the approximate probability that the insurance company will have claims exceeding the premiums collected if 100 policies are sold; we have :
P(X > 1100 n )
where n = numbers of premium sold
Therefore: the approximate probability that the insurance company will have claims exceeding the premiums collected is