Answer:
The probability of the student incorrectly solves the next problem is 44%.
Step-by-step explanation:
Let E be the event of solving a problem correctly.
Then E' is the event that the problem is solved incorrectly.
Now, recall the definition of probability.
probability of an event = 
So,
p(E) = 
Also,
p(E) + p(E') = 1 and
p(E') = 1 - p(E)
= 1 -
= 
= 
= 
= 
= 44% rounded.
Hence, the probability of the student incorrectly solves the next problem is 44%.
1.25 /5
12/5 = 2 with 2 left over
25/5 = 5
2 numbers
1.25 /5 = .25
Each person gets .25 of a pizza
Answer:Area of the shaded region is 73.6 cm^2
Step-by-step explanation:
The circle is divided into two sectors. The Smaller sector contains the triangle. The angle that the smaller sector subtends at the center of the circle is 80 degrees. Since the total angle at the center of the circle is 360 degrees, it means that the angle that the larger sector subtends at the center would be 360 - 80 = 280 degrees
Area of a sector is expressed as
Area of sector = #/360 × πr^2
# = 280
r = 5 cm
Area of sector = 280/360 × 3.14 × 5^2
Area of sector = 61.06 cm^2
Area of the triangle is expressed as
1/2bh = 1/2 × 5 × 5 = 12.5
Area of the shaded region = 61.06 +
12.5 = 73.6
Answer:
Corresponding angles
Step-by-step explanation:
<3 and <7 lie on the same side of the transversal line. Each angle also is located on the outside of each parallel lines cut across by the transversal.
Therefore, <3 and <7 are corresponding angles.
If you would like to solve the inequality 12 * p + 7 > 139, you can do this using the following steps:
12 * p + 7 > 139
12 * p > 139 - 7
12 * p > 132 /12
p > 132/12
p > 11
The correct result would be p > 11.
