Answer: 1
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-2 - 1 = -3
-1 - -4 = 3
-3/3 = 1
Answer:
C
Step-by-step explanation:
11 times 11 = 121
11 times 12 equals 132
11 times 13 = 143
For large sample confidence intervals about the mean you have:
xBar ± z * sx / sqrt(n)
where xBar is the sample mean z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α sx is the sample standard deviation n is the sample size
We need only to concern ourselves with the error term of the CI, In order to find the sample size needed for a confidence interval of a given size.
z * sx / sqrt(n) = width.
so the z-score for the confidence interval of .98 is the value of z such that 0.01 is in each tail of the distribution. z = 2.326348
The equation we need to solve is:
z * sx / sqrt(n) = width
n = (z * sx / width) ^ 2.
n = ( 2.326348 * 6 / 3 ) ^ 2
n = 21.64758
Since n must be integer valued we need to take the ceiling of this solution.
n = 22
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that triangle BCD is a right-angle triangle.
Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:
a^2 + b^2 = c^2
Where c = hypotenus of right-angle triangle
Where a and c = other two sides of triangle
Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:
Let a = BC
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
a^2 + 24^2 = 26^2
a^2 = 26^2 - 24^2
a = square root of ( 26^2 - 24^2 )
a = square root of ( 676 - 576 )
a = square root of ( 100 )
a = 10
Therefore, as a = BC, BC = 10.
If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:
a = BC = 10
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
10^2 + 24^2 = 26^2
100 + 576 = 676
676 = 676
FINAL ANSWER:
Therefore, BC is equivalent to 10.
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Thank you and have a lovely day! <3
Collin
22 years = 55,000 USD
+15 years
37 years = 2 x 55,000 = 110,000 USD
+15 years
52 years = 2 x 110,000 = 220,000 USD
Cameron
22 years = 35,000 USD
+10 years
32 years = 2 x 35,000 = 70,000 USD
+10 years
42 years = 2 x 70,000 = 140,000 USD
+10 years
52 years = 2 x 140,000 = 280,000 USD
+10 years
62 years = 2 x 280,000 = 560,000 USD
Retirement Salaries
Collin = 220,000 USD
Cameron = 560,000 USD
