Y= <span><span><span>−25
--------- x
8
H
O
P
E
THIS HELPS!</span></span></span>
Answer:
There is no enough evidence to reject the claim using a level of significance of 5%
Step-by-step explanation:
Let p be the true proportion of homeowners in Omaha who own a lawnmower. We want to test
vs 
(two-tailed alternative).
We have a large sample of size n = 500 and a point estimate for p is 
. The test statistic is given by
where 
is the standard error of 
when 
is true. The observed value is 
= 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.
Answer:
P_he = 562.5 mmHg
P_ne = 1068.75 mmHg
P_ar = 618.75 mmHg
Step-by-step explanation:
Formula for partial pressure is;
Partial pressure = mole fraction × total pressure
Mole fraction of Helium(He); x_he= 1/(1 + 1.9 + 1.1) = 1/4 = 0.25
Mole fraction of Neon(Ne); x_ne = 1.9/(1 + 1.9 + 1.1) = 1.9/4 = 0.475
Mole fraction of argon; x_ar = 1.1/(1 + 1.9 + 1.1) = 1.1/4 = 0.275
Thus;
Partial pressure of He;
P_he = 0.25 × 2250
P_he = 562.5 mmHg
Partial pressure of Ne;
P_ne = 0.475 × 2250
P_ne = 1068.75 mmHg
Partial pressure of Ar;
P_ar = 0.275 × 2250
P_ar = 618.75 mmHg
Answer:
opposite angle of trapezoid is supplementary
<Z+<X=180°
<X=180°-72°
<x=108°
is your answer
