Answer:
B
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 130, mean = 120 and SD = 10
Substituting these values
z-score = (130-120)/10 = 10/10 = 1
So the probability we want to calculate is;
P(z ≥ 1) = 1 - P(z <1)
From standard score table, P(z <1) = 0.15866
P(z ≥ 1) = 1-0.15866 = 0.84134
Part A) Y cannot be described as a function of x, because in order to be a function, there can only be one input, the x value, for every output, f(x) or the y value. Since the x value, 16, generates two y values, -2 and 2, this cannot be called a function.
Part B)
<span>f(x) = 25x + 16
f(20)= 25(20) + 16
f(20) = 500 + 16
f(20) = 516
This is the total cost, in dollars, of renting the truck for 20 hours. </span>
Answer:
(2,-1)
Step-by-step explanation:
The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.
4x - 9 = x - 3 Subtract x from both sides.
4x-x - 9 = -3 Combine
3x -9 = - 3 Add 9 to both sides
3x - 9+9 = - 3+9
3x = 6 Divide by 3
3x/3 = 6/3
x = 2
===============
Now use the second equation to solve for y
y = x - 3
y = 2 - 3
y = -1
==============
The solution is (2,-1)
1.1 Solve y-12x+7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-12x+7 = 0 and calculate its properties
According to: https://www.tiger-algebra.com/drill/y=12x-7/
Answer:
12.25
Explanation
49/20 <em><u>(which is the same as (</u></em><em><u>4</u></em><em><u>9</u></em><em><u>÷</u></em><em><u>2</u></em><em><u>0</u></em><em><u>))</u></em><em><u> </u></em>=2.45
<em><u>Multiply</u></em><em><u> </u></em><em><u>2</u></em><em><u>.</u></em><em><u>4</u></em><em><u>5</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>amount</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>hours</u></em><em><u> </u></em><em><u>(</u></em><em><u>5</u></em><em><u>)</u></em><em><u> </u></em>

=12.25