Answer:
(0,−2),(1,−
1/
2
),
(
2
,
4
)
Step-by-step explanation:
a
+
2
a
+
5
=
b
3
Solve the equation for y
.
Find the LCD of the terms in the equation.
3
(
a
+
5
)
Multiply each term in
a
+
2
a
+
5
=
b
3 by 3
(
a
+
5
)
to eliminate the fractions.
3
a
+
6
=
b
a
+
5
b
Solve the equation.
a
=
5
b
−
6
3
−
b
Choose any value for b that is in the domain to plug into the equation.
Choose 0 to substitute in for b to find the ordered pair.
Simplify
5
(
0
)
−
6
3
−
(
0
)
.
a
=
−
2
Use the b and y values to form the ordered pair.
(
0
,
−
2
)
Choose 1 to substitute in for b to find the ordered pair.
Simplify
5
(
1
)
−
6
3
−
(
1
)
.
a
=
−
1
/2
Use the b and y values to form the ordered pair.
(1,−1/2)
Choose 2 to substitute in for b to find the ordered pair.
(2,4)
These are three possible solutions to the equation.
(0,−2),(1,−
1/
2
),
(
2
,
4
)
Answer:
20 x 12 = 240(total area)
20 - 7 = 13(base)
12 - 5 = 7(height)
13 x 7 = 91
91 divided by 2 (x 1/2) = 45.5
Now we subtract the area of the non shaded region from the shaded region.
240 - 45.5 = 194.5 is your answer.
Answer:
0.0111% probability that he answers at least 10 questions correctly
Step-by-step explanation:
For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.
This means that
What is the probability that he answers at least 10 questions correctly?
0.0111% probability that he answers at least 10 questions correctly
The base of the pyramid is the side length squared
Base Area = (side length)(side length)
= (8.2)(8.2)
= 67.24
The slant length and side length is used to calculate the area of one slated face of the pyramid. Using the formula for a trangle (bh/2) we can find the area of one face
Face= bh/2
= 8.2(15.9)/2
= 130.38/2
= 65.19
As there are 4 faces, and one base the total area is the sum of 4 faces and the base area
A= 4F+BA
= 4(65.19) + 67.24
= 260.76 + 67.24
= 328 in²