Answer:
For this case we are trying to proof if the mean number of sick days this year is different from the mean number of sick days last year (10.6 days). And that would represent the alternative hypothesis. And the complement would represent the null hypothesis.
Then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And the best option would be:
H0:μ=10.6Ha:μ≠10.6 B
Step-by-step explanation:
For this case we are trying to proof if the mean number of sick days this year is different from the mean number of sick days last year (10.6 days). And that would represent the alternative hypothesis. And the complement would represent the null hypothesis.
Then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
And the best option would be:
H0:μ=10.6Ha:μ≠10.6 B
And the data from the sample is:
represent the sample mean
the sample size
The correct answer is 5 when p=10
Answer:
18.67 degrees
Step-by-step explanation:
(2x+14) and (x+20) degrees add up to 90 degrees if the two angles are complementary.
Thus, 2x + 14 + x + 20 = 90, and so 3x + 34 = 90.
Solving for x, we get, first, 3x = 56. and second, x = 18.67 degrees.
Answer:
The length of side BD is 4.62 units to the nearest hundredth
Step-by-step explanation:
In Δ ABC
∵ m∠ABC = 90°
∵ BD ⊥ AC
∴ AB × BC = BD × AC
∵ AB = 12 units
∵ BC = 5 units
∵ AC = 13 units
→ Substitute them in the equation above
∴ 12 × 5 = BD × 13
∴ 60 = 13 BD
→ Divide both sides by 13 to find BD
∴ 4.615384615 = BD
→ Round it to the nearest hundredth
∴ BD = 4.62 units
∴ The length of side BD is 4.62 units to the nearest hundredth
To find the rate of change you put them in a fraction form 24ft/ 5min then you try to find its initial distance for one minute so the answer would be 4.80ft/ 1 min