Lin's family has traveled 35 miles which is only 70% of the trip. How far is the
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Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.
μ =2000, σ =100
We have to find z score for income $2100 i.e x=2100
Z =
=
Z = 100/100
Z = 1
The z score for income $2100 is 1
Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (6, 5) and (x₂, y₂ ) = (- 3, 1)
d =
=
=
= ≈ 9.85 ( to 2 dec. places )
Linear function rule in terms of x and y for this line is y = x + 12
<em><u>Solution:</u></em>
Given that a line goes through the points (4, 16) and (7, 19)
To find: linear function rule in terms of x and y for this line
A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the slope of the line, and b represents the y-axis intercept
<em><u>The slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line and "c" is the y - intercept
Let us first find slope of line
<em><u>The slope "m" of a line is given as:</u></em>
Thus the slope of line is 1
Substitute m = 1 and (x, y) = (4, 16) in y = mx + c
16 = 1(4) + c
c = 16 - 4 = 12
Substitute c = 12 and m = 1 in slope intercept form
y = 1x + 12
y = x + 12 is the required linear function rule