One number is 4 more than another, and their sum is 60. What is the smaller number? If x = the larger number and y = the smaller
2 answers:
Answer:
a. and
Step-by-step explanation:
Let x be the larger number and y be the smaller number.
We have been given that one number is 4 more than another. We can represent this information in an equation as:
We can manipulate this equation as:
We are also told that the sum of both numbers is 60. We can represent this information in an equation as:
Upon looking at our given choices, we can see that option 'a' is the correct choice.
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Answer:
a. 0.114
b. 0.005
c. 0.381
d. 0.00
Step-by-step explanation:
If x follows a hypergeometric distribution, the probability that x is equal to k is calculated as:
Where k≤r and n-k≤N-r, Additionally:
So, replacing N by 10, n by 4 and r by 6, we get:
Then, the probability that x is equal to 1, P(x=1) is:
The probability that x is equal to 0, P(x=0) is:
The probability that x is equal to 3, P(x=3) is:
Finally, in this case, x can take values from 0 to 4, so the probability that x is greater or equals to 5 is zero.
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.
Step-by-step explanation:
The given is,
Investment = $ 8000
No. of years = 15 years
Interest rate, i = 3.1 %
( compounded monthly )
Step:1
For for calculating future value with compound interest monthly,
.................(1)
Where,
A = Future amount
P = Initial investment
r = Rate of interest
n = Number of compounding in a year
t = Time period
Step:2
From given values,
P = $8000
r = 3.1%
t = 15 years
n = 12 ( for monthly)
Equation (1) becomes,
A = $ 12728.48
Result:
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.