From 1 PM to 3 PM there are 2 hours in between
The number of seagulls has increased by 40 - 16 = 24 during the two hours.
The number of increase PER hour is 24 ÷ 2 = 12 seagulls per hour
Step-by-step explanation:
YO ≅ NZ
Given
YO + OZ ≅ NZ + OZ
Additive property
YZ ≅ NO
Segment addition postulate
∠M ≅ ∠X, ∠N ≅ ∠Y
Given
ΔMNO ≅ ΔXYZ
AAS congruence
Answer:
2√3π cm
Step-by-step explanation:
area of circle: πr²
area = A²
A =√ 12π
therefore, A = 2 √ 3π
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 17
For the alternative hypothesis,
µ < 17
This is a left tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 80,
Degrees of freedom, df = n - 1 = 80 - 1 = 79
t = (x - µ)/(s/√n)
Where
x = sample mean = 15.6
µ = population mean = 17
s = samples standard deviation = 4.5
t = (15.6 - 17)/(4.5/√80) = - 2.78
We would determine the p value using the t test calculator. It becomes
p = 0.0034
Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.
The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.
