Answer:
A) Yes; Week 10 is an outlier since it is the greatest data point.
Answer:
a) 95% confidence interval estimate of the true weight is (3.026, 3.274)
b) 99% confidence interval estimate of the true weight is (2.944, 3.356)
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
- M is the mean of five successive weightings (3.150)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated using the formula
ME=
where
- t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)
- s is the standard deviation of the random error (0.1)
Using the numbers 95% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.124
And 99% confidence interval estimate of the true weight is:
3.150±
≈3.150±0.206
Answer:
The expressions which equivalent to
are:
⇒ B
⇒ C
Step-by-step explanation:
Let us revise some rules of exponent
Now let us find the equivalent expressions of 
A.
∵ 4 = 2 × 2
∴ 4 = 
∴
=
- By using the second rule above multiply 2 and (n + 2)
∵ 2(n + 2) = 2n + 4
∴
=
B.
∵ 4 = 2 × 2
∴ 4 = 2²
∴
= 2² ×
- By using the first rule rule add the exponents of 2
∵ 2 + n + 1 = n + 3
∴
=
C.
∵ 8 = 2 × 2 × 2
∴ 8 = 2³
∴
= 2³ ×
- By using the first rule rule add the exponents of 2
∵ 3 + n = n + 3
∴
=
D.
∵ 16 = 2 × 2 × 2 × 2
∴ 16 = 
∴
=
×
- By using the first rule rule add the exponents of 2
∵ 4 + n = n + 4
∴
=
E.
is in its simplest form
The expressions which equivalent to
are:
⇒ B
⇒ C
Answer:
No
Step-by-step explanation:
pi is irrational. That was proven long ago. Unfortunately the proof is harder to understand than the proof that the square root of 2 is irrational, which is accessible to most high school students.
To prove that p is irrational you need to understand calculus, up through integration. Even then, the proof is rather intense and takes careful attention.