Answer:
x = 73.4°
Step-by-step explanation:
sin x° = 23/24
sin x° = 0.9583
x = 73.4°
Answer:
a) (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435
Step-by-step explanation:
Given that:
For male students: number of male students (
) = 69, number who liked the new method (x) = 38
For female students: number of female students (
) = 73, number who liked the new method (x) = 20
a) The probability that a male student like the new method (
) is given as:

The probability that a female student like the new method (
) is given as:

c = 95%, α = 1 -c = 0.05

the difference between the proportions of male and female students who like the new method better =
±
=
±
= (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435
X^6 because you have to multiply the exponents
Answer:
45 girls
Step-by-step explanation:
The ratio of girls to boys is 3:5
There are 120 children altogether
The number of girls is;
× 120 = 45 girls
Since 8 students take both, that leaves only 4 students who take Algebra I alone.
Likewise since 8 students take both, that leaves 10 who only take Algebra 2
So out of the 60, twenty two are taking either Alg I Alg Ii or both.
That leaves 38 people who are not taking either.
b. 38
You can set this up using a 2 circle venn diagram. Just be sure to put the 8 who take both in first.