Answer:
5, 1 , -3 ,-7
Step-by-step explanation:
When x = -1
y = - 4 * (-1) + 1
= 4 + 1
= 5
When x = 0
y = - 4 * 0 + 1
= 0+ 1
= 1
When x = 1
y = - 4 *1 + 1
= - 4 + 1
= - 3
When x = 2
y = -4 * 2 + 1
= - 8 + 1
= - 7
Answer:
d) 65.9 in < μ < 67.1 in.
Step-by-step explanation:
Given that a 99% confidence interval (in inches) for the mean height of a population is 65.7 < μ < 67.3
Mean = average of 65.7 and 67.3 =
i.e. here margin of error =
For 99% confidence interval critical value is 2.58
Hence std deviation =
For 95% confidence interval critical value is 1.96
Margin of error =
Hence confidence interval =
d) 65.9 in < μ < 67.1 in. is right
<h3>
Answer: 25%</h3>
=======================================================
Work Shown:
A = old value = 12 pounds
B = new value = 15 pounds
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (15-12)/12 ] * 100%
C = (3/12)*100%
C = 0.25*100%
C = 25%
The positive C value indicates a percent increase
So effectively, we find the difference or change in weight (B-A) and divide it over the original weight (A). That leads to 0.25 which converts to 25%
Note that,
25% of 12 = 0.25*12 = 3
This says that the puppy gained 3 pounds, which is the value of B-A
Since the puppy gained 3 pounds, the new weight is 12+3 = 15 pounds
-----------
As an alternative, we could divide the two values B over A to find that
B/A = 15/12 = 1.25
Then subtract 1 from this result: 1.25 - 1 = 0.25 = 25%
Answer:
Step-by-step explanation:
44 to 2 decimal place equal 44.00 to 2 dp