Answer:
The expression you can use to find out how many boys is b + (b - 84) = 1824
There are 954 boys at Southside High School
There are 870 girls at Southside High School
Step-by-step explanation:
Assume that the number of boys in the Southside High School is b
∵ There are b boys in the Southside High School
∵ The number of girls is 84 fewer than boys
→ Subtract 84 from b to find the number of girls
∴ The number of girls in the Southside High School is (b - 84)
∵ Southside High School has a total of 1824 students
→ That means the sum of the numbers of the boys and the girls is 1824
∴ b + (b - 84) = 1824
∴ The expression you can use to find out how many boys is
b + (b - 84) = 1824
→ Add the like terms in the left side
∴ (b + b) - 84 = 1824
∴ 2b - 84 = 1824
→ Add 84 to both sides
∵ 2b - 84 + 84 = 1824 + 84
∴ 2b = 1908
→ Divide both sides by 2 to find b
∵
∴ b = 954
∴ There are 954 boys at Southside High School
∵ The number of girls at Southside High School = b -84
→ Substitute b by 954
∴ The number of girls at Southside High School = 954 - 84
∴ The number of girls at Southside High School = 870
∴ There are 870 girls at Southside High School
(a) I have attached the graph.
(b) The function g(x) is given by g(x) = f(2x + 2)/3. You can work this out algebraically. You can also work this out by using the graph of the function.
(c) We can obtain the graph of y = g(x) from the graph of y = f(x) through the following transformations:
* stretch horizontally by a factor of 2
* stretch vertically by a factor of 3
* shift downwards by 2 units
Answer: (2.5 ; 1.5 )
Step-by-step explanation:
Answer:
There is a significant linear correlation between the two variables.
Step-by-step explanation:
Given that part time weekly earnings are
x y
10 93
15 171
20 204
20 156
35 261
Correlation 0.9199
H0: r=correlatin =0
Ha: r ≠0
(two tailed test)
r difference = 0.9199
t =
p value < 0.0001
Since p <0.05 we reject null hypothesis
There is a significant linear correlation between the two variables.