The confidence interval is
.
This means that if we take repeated samples, 99% of the intervals would contain the population proportion.
To construct this interval, we use
,
where
Since 590/1016 said they had a cat and a dog, p=0.581 and N=1016:
We need the z-score associated with this confidence level:
Convert 99% to a decimal: 99/100 = 0.99
Subtract from 1: 1-0.95 = 0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table, we see that this value is equally distant from z=2.57 and z=2.58, so we will use z=2.575:
Answer:
The volume of a sphere with 6 inch radius is 36(pi) cubic inches or approximately 113 cubic inches.
Step-by-step explanation:
hope it helps, please mark as brainliest
The question is incomplete and a question match couldn't be found online. However, an hypothetical solution will be provided
Answer:
Kindly check explanation
Step-by-step explanation:
We can make prediction about a population based on the outcome of a sample statistic.
From a random sample of voters, n ; the number who voted Smith = x
(p = x / n) gives the proportion of votes Smith will get according to the sample :
For instance :
n = 100 ; x = 10
p = 10 / 100 = 0.1
The predicted Number of votes Smith will Get if there are 10000 voters :
p * 10000
0.1 * 10000
= 1000 votes
Hi Bre,
Since lines a and b are parallel, we know that in the image:
- ∡1 ⇔ ∡5
- ∡2 ⇔ ∡6
- ...
- ∡4 ⇔ ∡8
We're given the angle of ∡7, which is 114°. We can see that ∡7 + ∡8 will equal to 180° (since line b is a straight line) and since ∡8 ⇔ ∡4, we can deduct that ∡7 + ∡4 = 180°.
From here, it's just imputing the information and solving.
⇒ 114° + ∡4 = 180°
⇒ ∡4 = 180° - 114°
⇒ ∡4 = 66°
-Hope this helps!
Lines BC, AB, and then AC