Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:

Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
Have a nice day!
Answer:
The value will be less than 1
Step-by-step explanation:
Answer:
The Choice N#1 will give more pizza for your money
Step-by-step explanation:
step 1
Find the area of one slice Choice #1
The area of the circle is equal to

we have
----> the radius is half the diameter
assume

The area of one slice is equal to

substitute


Divide the cost by the area

step 2
Find the area of the entire personal pizza Choice # 2
The area of the circle is equal to

we have
----> the radius is half the diameter
assume

substitute


Divide the cost by the area

therefore
The Choice N#1 will give more pizza for your money
24.31 ÷ 2.6 = 243.1 ÷ 26 = 9.35
Answer:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is ≈ 1.8
The critical z-score is 1.28
we fail to reject the null hypothesis H0: μ ≤ 34
Step-by-step explanation:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is calculated using the formula:
z=
where
- X is the average class size found in the sample (35.6)
- M is the mean according to the null hypothesis (34)
- s is the standard deviation for class size (9)
then z=
≈ 0.18
The critical z-score is 1.28 for α=0.10 (one tailed)
Because the test statistic is less than the critical value, do not reject the null hypothesis.