True.
two angles would be complementary if the sum of their angle measures is 90 degrees.
60 degrees and 30 degrees make a complementary angle while 90 and 90 degrees make a supplementary angle.
Answer:
254/324 which is about 78.4%
Step-by-step explanation:
found area of entire square to be 18² or 324
found area of 4-quarter circles - which equals one circle with radius of 9
A = 81π which is about 70
subtracted 324 and 70 to get 254
ratio of shaded to unshaded is 254 : 324
I think The answer is 22.5
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,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Answer:
10
Step-by-step explanation:
(1 1/4) * 8 = 10
