Answer:
78.151 (approximately)
Step-by-step explanation:
To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²
=140/360×π×8²
=7/18×3.41×64
=7/18×157/50×64
=7/9×157/50×32
=7/9×157/25×16
=17584/225
=78.151 (approximately)
Answer:
If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)
Step-by-step explanation:
1. Determine a single event with a single outcome.
2. Identify the total number of outcomes that can occur.
3. Divide the number of events by the number of possible outcomes.
Part A
To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.
See figure 1 below.
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Part B
Solve the first inequality to get
Now solve the second inequality
We have
The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.
See figure 2 below.
See, please, suggested decision, if it is possible check it.