Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For the men,
x = 318
n1 = 520
p1 = 318/520 = 0.61
For the women
x = 379
n2 = 460
p2 = 379/460 = 0.82
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.61(1 - 0.61)/520 + 0.82(1 - 0.82)/460]
= 1.96 × √0.0004575 + 0.00032086957)
= 0.055
Confidence interval = 0.61 - 0.82 ± 0.055
= - 0.21 ± 0.055
Answer:
x = 20√2 and y = 20√3.
or x = 28.28 and y = 34.64 to the nearest hundredths.
Step-by-step explanation:
Take the 2 'inside' triangles. They are similar.
So we have x / (60-40) = 40 / x
x/ 20 = 40 /x
x^2 = 800
x = √800
x = 20√2
y = √(800 + 20^2)
= √(1200)
= 20√3.
Answer: 9/100
Step-by-step explanation:
Probability of people own a cat:
P(cat)=30/100=0.3
Probability of people own a bird:
P(bird)=3/100=0.03
Probability of both own a cat and a bird
P(cat and bird)=(30/100) × (3/100)
=90/1000=9/100=9%
Answer:
A;C;E
Step-by-step explanation:
Let cost of almond per pound be X
Cost of 3 pounds of almonds=3X
cost of pistachios per pound = X+4
Cost of 2 pounds of pistachios=2X+8
Total cost=5X+8=48
5X+8=48
5X=40
X=8
cost of one pound almond is $8
cost of one pound pistachios is $12
Please mark it brainly
Personally I would say C because when you take good notes you can go over what you don’t remember. You can also use your notes as a study guide.
