Answer:
Step-by-step explanation:
Comment
The angle supplementary to x and 3x are equal.
Supplementary angles = 180
Solution
x + 3x = 180
4x = 180 Divide by 4
4x/4 = 180/4
x = 45
The angle supplementary to x is 3x
3x = 3*45
3x = 135
This angle is vertically opposite y. Vertically opposite angles are equal. So y = 135
Answer
x = 45
y = 135
2 and 3 are prime numbers, so it means that the greatest common factor is:
G.C.M(2;3)=2*3=6
Answer:
3/4
Step-by-step explanation:
there is no y intercept but it is 3/4 when you simplify
Theophilus had a bag of toffees that he wanted share with all of his best friends.
Because Theophilus had a huge number of best friends, and because he was
concerned for their dental dental health, he began by cutting each toffee into
smaller pieces before passing them out.
He began with 6 toffees in the bag. Each toffee was 3-inches long, and he cut
each piece into 1-inch pieces.
To how many friends was he then ready to hand a chunk of toffee ?
Answer: a. The interval in percentage is (23.46% , 30.76%)
b. No
Step-by-step explanation: To determine the confidence interval of a proportion, first find the percentage of yellow in that population:
phat = 
phat = 0.2711
The level α is 95%
1 - α = 0.05
α/2 = 0.025
As the population is bigger than 30, use z-test.
According to the table, z-score for α/2 = 0.025 is z = 1.96
The error for the interval is:
E = z.
E = 1.96.
E = 1.96*0.01865
E = 0.0365
The lower and higher limits of the interval are:
phat - E = 0.2711 - 0.0365 = 23.46%
phat + E = 0.2711 + 0.0365 = 30.76%
In conclusion, the 95% confidence interval to estimate the percentage of yellow is (23.46%,30.76%)
b. No, because 25% is inside the interval meaning that it doesn't contradict the expectations.
