Answer:
The minimum sample needed to provide a margin of error of 3 or less is 52.
Step-by-step explanation:
The confidence interval for population mean (<em>μ</em>) is:
The margin of error is:
<u>Given:</u>
MOE = 3
<em>σ </em>= 11
The critical value for 95% confidence interval is:
**Use the <em>z</em>-table for critical values.
Compute the sample size (<em>n</em>) as follows:
Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.
Answer:
Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms
step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x
step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have
substitute
step 4
Find the measure of angle c
we know that
----> by vertical angles
we have
therefore
step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have
therefore
step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have
therefore
step 7
Find the measure of angle f
we know that
----> by vertical angles
we have
therefore
Answer:
true!
Step-by-step explanation:
hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.
- 4(1/2)x - (3/7) = (1/4)
- 4(1/2)x = (1/4) + (3/7)
- (9/2)x = (7+12)/28
-(9/2)x = 19/28
x = (19/28) * 2 / 9
x = (19/14) / 9
x = 19 / (14*9)
x = 19 / 126
Answer: x
≤
−
4
or
x
≥
8
Step-by-step explanation: