Answer:
j + 47 = 53
Step-by-step explanation:
Add the amount of choices, and divide by the number of customers surveyed.
40 + 32 + 8 + 20 = 100
40 customers were surveyed
100/40 = 2.5
The average number should be D) 2.5
hope this helps
Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97. But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,
μ = 97
Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions. This means the standard deviation of the average x is
σ = 17/√n
We want to be 95% certain
97 - 5 ≤ x ≤ 97 + 5
By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that
μ - 2σ ≤ x ≤ μ + 2σ
Comparing to what we want, that's means we have to solve
2σ = 5
2 (17/√n) = 5
√n = 2 (17/5)
n = (34/5)² = 46.24
We better round up.
Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean
First four answers are correct as congruent parts of congruent triangles are congruent but L Is not the opposite to M so they wouldn’t be congruent nor does NL or PQ have the same connection
Answer:
x = 49
Step-by-step explanation:
Let's solve for x in the first triangle by applying the leg rule.
Leg rule is given as: hypotenuse/leg = leg/part
Hypotenuse = x
Leg = 28
Part = 16
Plug in the values into the equation
x/28 = 28/16
Cross multiply
x*16 = 28*28
16x = 784
x = 784/16
x = 49
✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.
Hypotenuse = x
Leg = 21
Part = 9
Thus:
x/21 = 21/9
Cross multiply
x*9 = 21*21
9x = 441
x = 441/9
x = 49
✔️We have the same value. Therefore, x = 49 is the correct answer.
