Answer:
<u>12 1⁄2% DISCOUNT:</u>
Jacket: $60.81
Tie: $13.56
Raincoat: $65.93
Step-by-step explanation:
If you need the explanation, I'll write it as a comment! :)
The probability that Ben does the math homework is 0.33 and the probability that he does the English homework is 0.25.
<h3>What is a probability tree?</h3>
A probability tree is a term that refers to a tool used in calculus to graphically represent the possible outcomes of a situation.
<h3>What are the chances that Ben will do his homework?</h3>
To calculate the probability that Ben will do his tasks, we perform the fraction that describes each of them as shown below:
Probability that he does the math homework: = 0.33 Probability that he will not do the math homework = 0.66
Probability that he does the English homework = 0.25Probability that he will not do the English homework = 0.75
Learn more about probability in: brainly.com/question/11234923
Answer:
a) OA = 1 unit
b) BC = 3 units
c) OD = 2 units
d) AC = 3√2 units
Step-by-step explanation:
Given function:
<h3><u>Part (a)</u></h3>
Point A is the x-intercept of the curve.
To find the <u>x-intercept</u> of the curve (when y = 0), set the function to zero and solve for x:
Therefore, A (1, 0) and so OA = 1 unit.
<h3><u>Part (b)</u></h3>
If OB = 2 units then B (-2, 0). Therefore, the x-value of Point C is x = -2.
To find the y-value of Point C, substitute x = -2 into the function:
Therefore, C (-2, -3) and so BC = 3 units.
<h3><u>Part (c)</u></h3>
<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.
The y-value of Point D is the horizontal asymptote of the function.
The function is undefined when x = 0 and therefore when y = -2.
Therefore, D (0, -2) and so OD = 2 units.
<h3><u>Part (d)</u></h3>
From parts (a) and (c):
To find the length of AC, use the distance between two points formula:
Therefore:
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Answer:
The length is and width is .
Step-by-step explanation:
Given:
Length is 11 centimeters more than its width.
Now, to find the length and width.
Let the width of rectangle be
And the length of rectangle =
Therefore, the length is and width is of the rectangle.