Answer:
37 yd
Step-by-step explanation:
Use the Law of Sines here. (sin A)/a = (sin B)/b = (sin C)/c
In this particular case, we note that side AB is opposite the 15 degree angle, and that the 10 yd side is opposite the 15 degree angle.
Therefore, we have
BC 10 yd
----------- = ------------
sin 106 sin 15
Solving this yields | BC | = 37 yd (rounded up from 37.14 yd).
May I leave you to simplify the following values of probability?
(a) 512/1906.
(b) 808/1906.
(c) 775/1348.
(d) 24/808.
Let m = 10 and n = 2
We know:
y^2 = (m+n).m
y^2 = (10+2).10
y^2 = 120
y = √(120)
Then,
m^2 + x^2 = y^2
10^2 + x^2 = ( √( 120) )^2
100 + x^2 = 120
x^2 = 120 - 100
x^2 = 20
x = √(20)
x = √(4×5)
x = √(4) × √(5)
x = 2√(5)
I hope this has helped!
Answer:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:
And the best choice for this case would be:
z < − 1.65
Step-by-step explanation:
Information provided
n=2431 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
Hypothesis to test
We want to verify if the true proportion of Americans who reduced meat consumption last year is less than 0.25, then the system of hypothesis are :
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:
And the best choice for this case would be:
z < − 1.65