Answer:
k = -8
Step-by-step explanation:
Step 1: Add 6 to both sides
-6 + k + 6 = -14 + 6
k = -8
Answer: k = -8
Answer:
Option (4)
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles."
In the triangle ABC,
∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.
m∠ACD = m∠BAC + m∠ABC
95° = m∠BAC + m∠ABC
Therefore, Option (4) will be the correct option.
Answer:
The variance for the number of correct answers is 2.8 questions
Step-by-step explanation:
The number of correct answers follows binomial distribution, in which we have:
- n identical and independents events: the 15 questions
- two possibles results that we call success and fail: The answer is correct and the answer is incorrect
- probability p of success and 1-p of fail. Probability 1/4 of get the answer correct and probability of 3/4 of get the answer incorrect. This probabilities are calculated on that way because every question have 4 possible answers and one of which is correct.
So, the variance for a variable x that follows a Binomial distributions is:
V(x)=n*p*(1-p)
Then, the variance for the number of correct answers is:
V(x)=15*(1/4)*(3/4) = 2.8125 ≈ 2.8
Because n is equal to 15, p is equal to 1/4 and (1-p) is equal to 3/4.
Answer: 6 and -6
Step-by-step explanation:
6 Is the distance from zero, since distance cannot be negative, it does not matter if we go left or right on the number line, it will still be 6 units away from zero.
Answer:
The formula to calculate APY is (1 + (i/n))^n - 1
where i is the interest rate and n is the number of compounding periods.
Monthly APY = (1 +(0.055/12)^12 -1
APY = 0.0564 = 5.64%
Quarterly APY = (1 +(0.055/4)^4 -1
APY = 0.0561 = 5.61%
Difference = 5.64 - 5.61 = 0.03% more when compounded monthly.
The APY is more when compounded monthly, because there are more compound periods.
