Answer:
1
Step-by-step explanation:
y-intercept is defined as the point where the graph crosses the y-axis. The value of x coordinate at this point is zero, as along entire y-axis, the value of x coordinate is always zero. So substituting x = 0 in the function will give us the y-coordinate of the y-intercept of the given function.

Substituting x = 0 in this function, we get:

Thus, the y-coordinate of the y-intercept is 1. Therefore the y-intercept of the function in ordered pair will be: (0, 1)
Answer:
Y = 12
Step-by-step explanation:
x + 1/3y = 4
Multiply both sides of the equation by 3.
3 ⋅ 1
3 ⋅ y = 3 ⋅ 4
Simplify both sides of the equation:
1. Simplify both sides of the equation.
2. Multiply 3 by 4
How to simplify:
Cancel the common factor of 3
Rewrite the expression.
Multiply by 1
y = 3 ⋅ 4
Multiply 3 by 4
(12)
Given:
The descriptions and equations. The equations are


To find:
The correct description for each equation and match them.
Solution:
We know that, "+" is used for more and "×" is used for times.
Additive: y is 4 more than x.

Additive: x is 4 more than y.

Multiplicative: y is 4 times x.

Multiplicative: x is 4 times y

Therefore, the correct description for the equation
is "Multiplicative: y is 4 times x
" and the correct description for the equation
is "Additive: y is 4 more than x.
"
Answer:
B
Step-by-step explanation:
because it says between 4 and 8 and doesn't have a negative so its positive
Answer: (20.86, 22.52)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-

, where
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
By considering the given question , we have


n= 58
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, 95% confidence interval for the amount of time spent on administrative issues will be :





Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)