Answer: This question cannot be answered.
Explanation:
If you add three odd numbers, the sum must also be an odd number. To get an even number, you have to add an even number of odd numbers, e.g. 2 or 4. Adding 3 odd numbers to get 30 is therefore not possible. So the question cannot be answered.
Answer:
The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 is 0.3855
Step-by-step explanation:
The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 can be calculated by finding <em>z-scores</em> and subtracting P(z<z(0.29)) from P(z<z(0.37))
z-score in the binomial distribution of 28% of freshmen entering college in a recent year planned to major in a STEM discipline can be calculated using the equation:
where
- p(s) is proportion of freshmen we are interested (0.37, 0.29)
- p is the proportion found in recent year found by research group (28% or 0.28)
- N is the sample size (150)
Then z(0.37)=
≈ 2.4550 and P(z<2.4550)=0.993
z(0.29)=
≈ 0.2728 and P(z<0.2728)=0.6075
Then P(z(0.29)<z<z(0.37))=0.993-0.6075=0.3855
Answer:
69 420
Step-by-step explanation:
Answer:
The total investment is $5020.19
Step-by-step explanation:
Given : $2150 invested at 5.3% for 16 years and compounded continuously
To find : What is the total investment?
Solution :
The formula of continuously compounded interest is

Where A = amount invested
P = principal = $2150
e = Euler's number (on calculator)
r = interest rate as decimal = 5.3%=0.053
t = time in years = 16 years
Substitute the value in the formula,





Therefore, Option 4 is correct.
The total investment is $5020.19.