Answer:
i think its D. C. or E. I'm not that great in math im kind of struggling thru it
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 17
For the alternative hypothesis,
µ < 17
This is a left tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 80,
Degrees of freedom, df = n - 1 = 80 - 1 = 79
t = (x - µ)/(s/√n)
Where
x = sample mean = 15.6
µ = population mean = 17
s = samples standard deviation = 4.5
t = (15.6 - 17)/(4.5/√80) = - 2.78
We would determine the p value using the t test calculator. It becomes
p = 0.0034
Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.
The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.
The answer will be 17 tons.
Step-by-step explanation:
Since we have given that
14 T 1,000 lb. + 2 T 1,000 lb.
As we know that
So, 14 T 1,000 lb. is given by
Similarly,
so,
2T 1,000 lb. is given by
So, 14 T 1,000 lb. + 2 T 1,000 lbs is given by
Hence, the answer will be 17 tons.
You haven't provided the choices, therefore, I cannot provide an exact answer. However, I will help you with the concept.
For an order pair to be a solution to a system of equations, it has to satisfy <u>BOTH</u> equations. If it satisfies only one equation of the system or satisfy neither of the equations, the, it is not a solutions
<u><em>Examples:</em></u>
<u>System 1:</u>
x = y + 1
2x + 3y = 7
Let's check (2,1)
2 = 1 + 1 ........> equation 1 is satisfied
2(2) + 3(1) = 7 ......> equation 2 is satisfied
<u>(2,1) is a solution to this system</u>
<u>System 2:</u>
y = x + 3
y = x - 1
Let's check (2,1):
1 ≠ 2 + 3 ........> equation 1 isn't satisfied
1 = 2 - 1 ..........> equation 2 is satisfied
<u>(2,1) isn't a solution to this system</u>
<u>System 3:</u>
2y = 9 - 3x
3x + 2y = 9
Let's ceck (2,1):
2(1) ≠ 9 - 3(2) ..........> equation 1 isn't satisfied
3(2) + 2(1) ≠ 9 .........> equation 2 isn't satisfied
<u>(2,1) isn't a solution to this system
</u>
<u><em>Based on the above,</em></u> all you have to do is substitute with (2,1) in the system you have and pick the one where both equations are satisfied
Hope this helps :)
Answer:
Option B ,$133.92 is correct
Step-by-step explanation:
By consolidating both balances in Card B,APR of 12% would apply to funds in card A as well
Let us approach the question by solving for monthly payment of Card A using 12% APR as follows while making use of excel pmt formula:
=pmt(rate,nper,-pv,fv)
rate is the monthly rate on the card which is 12%/12=1%
nper is the number of months of payment which is 12 months * 4 years=48
pv is the current balance in the card which is $1,389.47
fv is the total amount of monthly repayment which is taken as zero
=pmt(1%,48,-1389.47,0)=$ 36.59
Using 16% monthly payment is $39.38 which is given already
Total monthly payments for 16%=$39.38*48=$1890.24
Total monthly payments for 12% APR=$36.59*48=$1756.32
savings in total repayments=savings in interest=$1890.24
-$1756.32
=$133.92
