the answer for this question 25/16
Answer:
a) 0.82
b) 0.18
Step-by-step explanation:
We are given that
P(F)=0.69
P(R)=0.42
P(F and R)=0.29.
a)
P(course has a final exam or a research paper)=P(F or R)=?
P(F or R)=P(F)+P(R)- P(F and R)
P(F or R)=0.69+0.42-0.29
P(F or R)=1.11-0.29
P(F or R)=0.82.
Thus, the the probability that a course has a final exam or a research paper is 0.82.
b)
P( NEITHER of two requirements)=P(F' and R')=?
According to De Morgan's law
P(A' and B')=[P(A or B)]'
P(A' and B')=1-P(A or B)
P(A' and B')=1-0.82
P(A' and B')=0.18
Thus, the probability that a course has NEITHER of these two requirements is 0.18.
( x - 7 ) + 2........................
Half circle: 1.5 in
Answer:
3.5 in²
Step-by-step explanation:
Given:
Radius (r) = 1.5 in.
Formula for area of half circle = (πr²)/2
Required:
Area of the half circle
Solution:
Plug in the values into the formula for area of half circle.
Thus:
Area = (π × 1.5²)2
= 7.06858347/2
Area = 3.5 in² (nearest tenth)
The area of a half circle with radius 1.5 inches is calculated using the formula πr2/2, which gives approximately 3.53429 square inches.
The formula given - πr2/2 - is the correct formula for calculating the area of a half circle. In mathematics, the area of a full circle is calculated using the formula πr2. Since a half circle is simply half of a full circle, you just multiply that result by 1/2 (or divide it by 2), hence πr2/2.
The question states the radius (r) is 1.5 inches. To solve for the area of the half circle, you can simply substitute this value into the formula like so: π * (1.5)2 / 2.
First, square the radius: 1.5*1.5 = 2.25. Multiply by π (roughly 3.1416): 2.25 * π = 7.06858. Finally, divide by 2: 7.06858 / 2 = 3.53429 square inches.
#SPJ12
11) 360 miles in 6 hours
Answer:
60 miles in a hour
Step-by-step explanation:
360 miles divided by 6 hours = 60 miles per hour
- Point-Slope:
- Standard Form:
Answer:
Slope Intercept:y=mx+b
Point-slope:
y-y1=m(x-x1)
Standard form:Ax+By=C