Answer:
The probability that a student passed the test given that they did not complete the assignment is .
Step-by-step explanation:
The probability of an event <em>E</em> is the ratio of the number of favorable outcomes <em>n</em> (E) to the total number of outcomes <em>N</em>.
The union of two events is:
The intersection of the complements of two events is:
The condition probability of an event given that another event has already occurred is:
Denote the events as follows:
<em>A</em> = students who passed the test
<em>B</em> = students who completed the assignment
Given:
N = 27
n (A) = 17
n (B) = 22
= 3
Compute the value of P (<em>A</em> ∪ <em>B</em>) as follows:
Compute the value of P (A ∩ B) as follows:
Compute the value of P (A | B) as follows:
Thus, the probability that a student passed the test given that they did not complete the assignment is .
Answer: B
Step-by-step explanation:
They've given you two functions f(x) = x^2 + 1 and g(x) = 3x +1 And they are you to find 2 * f(4) then g(x) is not needed so input in 4 for the function f(x) and multiply the output by 2.
F(4) = 4^2 + 1
F(4) = 16 +1
f(4) = 17
17 * 2 = 34
9514 1404 393
Answer:
10,450 cm³
Step-by-step explanation:
The volume is the product of the area of the facing face and the depth of the figure. The area of the facing face is the sum of the areas of a rectangle and a triangle. The relevant area formulas are ...
A = bh . . . . . area of rectangle with base b and height h
A = 1/2bh . . . area of triangle with base b and height h
Here the rectangle and triangle have the same base, 19 cm. Then the sum of the areas is ...
Atot = (19 cm)(18 cm) + 1/2(19 cm)(14 cm)
Atot = (19 cm)(18 cm +1/2×14 cm) = (19 cm)(25 cm) = 475 cm².
Then the volume of the figure is ...
V = Bh = (475 cm²)(22 cm) = 10,450 cm³
_____
<em>Additional comment</em>
Effectively, this is the volume of a cuboid whose height is that of the bottom rectangular prism (18 cm) plus half the height of the triangular prism on top (1/2×14 cm = 7 cm). (18+7=25) The volume is essentially 19 cm × 25 cm × 22 cm. This recognition can serve to simplify the work or to act as a check on the work done some other way.
Answer:
Step-by-step explanation:
100 percent of 35=35
Answer:
if your looking for the next in line it would be 56 but i dont really understand the question
Step-by-step explanation: