Answer:
<em>=10x^2+8x+3</em>
Step-by-step explanation:
Lets simplify step by step.
=5x^2+3x+4+5x^2+5x+-1
Combine like Terms.
=5x^2+3x+4=5x^2+5x=-1
=(5x^2+5x^2)+(3x+5x)+(4+-1)
=10x^2+8x+3
<u><em>=10x^2+8x=3</em></u>
Answer:
90% confidence interval for the mean commute time of working adult Calgary residents is between a lower limit of 26.72 minutes and an upper limit of 30.28 minutes.
Step-by-step explanation:
Confidence Interval = Mean + or - Error margin (E)
mean = 28.5 minutes
sd = 24.2 minutes
n = 500
degree of freedom = n - 1 = 500 - 1 = 499
confidence level = 90%
t-value corresponding to 499 degrees of freedom and 90% confidence level = 1.64801
E = t × sd/√n = 1.64801 × 24.2/√500 = 1.78
Lower limit = mean - E = 28.5 - 1.78 = 26.72 minutes
Upper limit = mean + E = 28.5 + 1.78 = 30.28 minutes
90% confidence interval is between 26.72 and 30.28 minutes.
Answer:
y = 8
Step-by-step explanation:
First substitute x with 6 in the equation
2y + 1/3(6) = 18
Multiple 1/3 with 6, which is 2
2y + 2 = 18
Solve the equation by subtracting 2 from both sides
2y + 2 = 18
- 2 - 2
You get 2y = 16, so you divide 2 frm both sides
You get y = 8
If a college has 17 tutors to be appointed among the students in four departments, and the number of students in each department is 315, 310, 105 and 80 respectively, the Standard Divisor is 47.647
As per the question statement, a college has 17 tutors to be appointed among the students in four departments, and the number of students in each department is 315, 310, 105 and 80 respectively.
We are required to calculate the Standard Divisor of the above mentioned problem.
To solve this question, we need to know the formula to calculate the standard divisor, which goes as,
Standard Divisor = [(Total Population)/(Number of Candidates)]
Here, the total population of students = (315 + 310 + 105 + 80) = 810
And, the number of teachers to be appointed = 17 (given)
Therefore, Standard Divisor = (810 / 17) = 47.647
- Standard Divisor: In Mathematics, standard divisor is the quotient of the total population divided by the number of seats (or other allocations) to be distributed.
To learn more about Standard Divisor, click on the link below
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