Answer: option A is correct, we accept the null hypothesis.
Step-by-step explanation:
At a 5% level of significance, p = 0.05, therefore when p < 0.05, accept the null hypothesis (H°) and reject the alternative hypothesis (H¡). When p > 0.05, we reject the null hypothesis (H°) and accept the alternative hypothesis (H¡)
Given the p-value to be 0.008, this is less than the 5% threshold, that is, 0.05, hence we accept the null hypothesis.
Rate x time = distance
25 x 35/60 = distance (35/60 is 35 minutes out of an hour- 60 minutes)
25/1 x 7/12 = distance (I put the 25 over 1 and reduced 35/60)
175/12 ≈ 14.58 miles
Notice that the time had to be in a fraction of an hour in order to do this.
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
- 3/14 is your final answer.
The probability of pulling an ace is 4 out of 32 or 4/32. There are four aces in a complete set of playing cards. If you need me to simplify, it would be 1 out of 8, or 1/8. I hope this is helpful!
