The sample mean of the random sample is 50
The margin of error (E) is the amount of error allowed in the random sample.
The confidence interval (CI) is given by:
CI = μ ± E = (μ - E, μ + E)
Given a confidence interval of (38.02, 61.98), hence:
μ - E = 38.02 (1)
μ + E = 61.98 (2)
Hence solving equations 1 and 2 simultaneously gives:
μ = 50, E = 11.98
Hence the sample mean of the random sample is 50
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Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin

Sin P = 0.3

P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
Short Answer:Choice C [Third one down]
RemarkStart with the number so I can talk about the basic principle at work. The way to work it is to factor 162 into prime factors and hope there are at least 3 that are the same.
162 = 2 * 81
162 = 2 * 3 * 3 * 3 * 3
Now When you take the cube root of that, you get
![\sqrt[3]{2*2*2*2*3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B2%2A2%2A2%2A2%2A3%7D%20)
Here's the rule for a cube root. For every 3 prime factors under the cuberoot sign, you take out one and throw the other two away. So for cube root of 81,
you would factor it as ∛(81) = ∛(3 * 3 * 3 * 3) = 3∛3.
So out of four 3s under the cube root sign, you have 1 outside the root sign and one inside the root sign. 2 of the four 3s have been thrown away.
Continuation.X firstYou want 2 xs outside the root sign
∛(x * x * x * x * x *x ) = (x * x) You have thrown away 2 xs for every x outside the cube root sign
C = 6 There are no left overs.
Y secondFor the ys, you need 1 outside and 2 inside the root sign. that's because you need 5 altogether.
∛(y * y * y * y * y) = y ∛y^2
Answer c = 6; d = 2
Choice C <<<<<< answer
Answer:
1,650.1184
Step-by-step explanation:
If the circumference is 144.4 then you would divide the circumference by pi which would get you the diameter. Divide the diameter by 2 which would be the radius. Square the radius the multiply pi to get the area.
Answer
4
Step-by-step explanation:
just keep reading 10 pages a day and you'll find your answer