There are 20 C3 possible ways to choose 3 books to read.
There are 5 C3 possible ways to choose 3 mysteries to read.
The probability that Mariah will not choose all mysteries can be expressed as 1-5C3/20C3. (These 3 Choices Are True)
There are 1 C3 possible ways to choose 3 books that are not all mysteries.
The probability that Mariah will choose 3 mysteries can be expressed as 1/5C3.
(These 2 Choices Are False)
Hope This Helps
Answer:
Step-by-step explanation:
26x25x24x23x22x21x10x9=30,891,577,600
=Thirty billion, eight hundred ninety-one million, five hundred seventy-seven thousand, six hundred.
the answer was kind of in the question btw :)
Y= Mx+b
In the equation of a straight line,the slope is the number "m" that is multiplied on the x, and "b<span>" is the </span>y<span>-intercept (that is, the point where the line crosses the vertical </span>y<span>-axis).</span>
Answer:
The new dimensions are 6 ft and 4 ft.
Step-by-step explanation:
Let x = side of original square.
The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are
x + 3 and x + 1
The area of the rectangle is length × width.
area = (x + 3)(x + 1)
area = x² + 4x + 3
The area is 24 ft².
x² + 4x + 3 = 24
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0
x + 7 = 0 or x - 3 = 0
x = -7 or x = 3
x + 3 = 3 + 3 = 6
x + 1 = 3 + 1 = 4
The new dimensions are 6 ft and 4 ft.
Answer:
Original function;
y = logbX
Transformation;
y = -5/3logb(x + 2) - 6
Step-by-step explanation:
General form of a logarithmic function is given below;
y = logb X (log to base b)
Reflection over the y-axis
y value remains same, x becomes negative
y = - logb X
Vertical stretch by a factor of 5/3
This means that we multiply the whole function by 5/3
That will be;
y = -5/3logbX
Transformation right 2 units
This means that we add the value of 2 to the x-axis value
y = -5/3logb(x + 2)
transformation down 6 units
This means that we subtract 6 from the total y value
y = -5/3logb(x + 2) - 6
