Answer:
Step-by-step explanation:
Given
Convert the probability to decimal
Solving (a): P(ABC)
This is calculated as:
This gives:
Solving (b):
This is calculated as:
In probability:
So, we have:
Solving (c):
This is calculated as:
Solving (d):
This is calculated as:
Solving (e):
This is calculated as:
Solving (f):
This is calculated as:
Solving (g):
This is calculated as:
Solving (h):
This is calculated as:
Answer:
Step-by-step explanation:
y = 3.2x+5
This equation represents a straight line where 3.2 is the slope of the line and 5 is the intercept of the line on the y-axis (basically where the line touches the y-axis)
So,because this is a line you only need two points to draw it.
One point you already know it's y =5.
To find another point that lies on the line just substitute a convenient number for x.For example say if x= 1/3.2
y = 3.2*( 1/3.2) +5
Therefore:
y = 1+5 =6
So,the other point on the line is (1/3.2 , 6)
Now find the points y = 5 and (1/3.2 , 6) on the xy plane and draw the line passing through them.
Here is your answer! Hope this helped
The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
<h3>What is a polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)
We have to simplify the expression by multiplying the expression as,
=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)
=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6
= -4x⁴+11x³-5x²+6
Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.
Learn more about Polynomial here:
brainly.com/question/17822016
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Answer:
32.5 miles on the 7th day
Step-by-step explanation:
1, 1.5, 2.5, 4.5
We need to determine the pattern
We are adding .5 + 1/4(2^n)
Lets check
n=1 .5+ 1/4(2) = .5+ .5 =1
n =2 .5 + 1/4*2^2 = .5 +1 = 1.5
n=3 .5 + 1/4 ( 2^3) = .5 + 8/4 = 2.5
n=4 .5 + 1/4 (2^4) = .5 + 16/4 = 4.5
n = 5 .5 + 1/4 (2^5) = .5 +32/4 = 8.5
n = 6 .5 + 1/4 (2^6) = .5 + 64/4 =16.5
n=7 .5 + 1/4(2^7)= .5 + 1/4(128) = 32.5
They bike 32.5 miles