Answer:The correct option is a)
The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would be unusual.
Step-by-step explanation:
The mean of a binomial distribution
μ= np where n=10 and p= 0.2 q= 1-p, q= 1-0.2=0.8
μ= 10×0.2=2
σ=√npq
σ=√10×0.2×0.8=1.26
Is unusual for the number of success to be greater than μ + 2.5σ.
= 2+2.5(1.26)
=5 approximately.
So it is unusual for it to be greater than 0.5. The right option Is a)
Answer:
1) p1=0.83
2) p2=0.81
3) Option B
4) p=0.82
5) s=0.03
6) z=0.67
7) P=0.50
8) Do not reject H0
Step-by-step explanation:
1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

4) The pooled estimate of a proportion is the average of both proportions:

5) The standard error can be calculated as:

6) The z-statistic can be calculated as:

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.
There is not enough evidence to say that both proportions are different.
A. Do not reject H0
Answer:
y= 18
42°
x=60
60°
Step-by-step explanation:
because of vertical angles theorem, 2y+6=8y-102
add 102 to 6
2y+108=8y
subtract 2y from 8y
108=6y
y= 18
now plug in to each equation for angles
2(18)+6= 42°
8(18)-102= 42°
now I dont think you can solve for x and y in an equation. 3x=180
divide 3 from 180
180/3 = 60
x=60
plug 60 into 3x=180 and get 180°.
angles for x are 180°
if I'm incorrect on the X value someone please correct me.
I hope this helps!❤
Answer:
the Domain would be represented by Time in this problem, since time can only be positive, the domain would start at zero seconds and end at 5 seconds when the soccer ball hits the ground.
Step-by-step explanation: