Answer:
a. 0.6899
b. 0.1642
Step-by-step explanation:
a. Given the probability of success is 0.94 for an expert and that the number of pairs, n=6:
-Each attempt is independent and therefore the probability of the events is calculated as:
Hence, the probability of correctly identifying the 6 matches is 0.6899
b.Given the probability of success is 0.74 for a novice and that the number of pairs, n=6:
-Each attempt is independent and therefore the probability of the events is calculated as:
#Hence, the probability of correctly identifying the 6 matches is 0.1642
*I have used the sample size of 6(due to conflicting info/question size).
So he started with 3/4 lb and ended up with 2/3 of that so 2/3 of 3/4 'of' can be roughly translated as multiply so 2/3 times 3/4 =6/12=1/2 lb left or you know that there are 3 out of 4 parts pound left so 2 out of 3 parts of nuts is = 2/4 or 1/2 lb
B because pie radius square = area of a circle
Answer:
Step-by-step explanation:
The graph shows the solution (-6,2)
i.e at x= -6 y=2
Analysis of each of the answers, since we can't write the equation of a straight line with only that information i.e the single point
Then,
Option 1
1. 2x - 3y = -6
x= -6 y=2
Then let insert x=-6 and y =2
2(-6)-3(2)
-12-6
-18.
Since -18 ≠ -6, then this is not the equation of the line and doesn't make up the system
Option 2
2. 4x - y = 26
Inserting x=-6 and y=2
4(-6)-(2)
-24-2
-26
Since -26 ≠ 26, then this is not the equation of the line and doesn't make up the system
Option 3
3. 3x + 2y = -14
Inserting x=-6 and y=2
3(-6)+2(2)
-18+4
-14
Since -14 ≠ -14 then this is the equation of the line and it make up the system.
Option 4
x-y = -2
Inserting x=-6 and y=2
(-6)-(2)
-6-2
-8
Since -8≠ -2, then this is not the equation of the line and doesn't make up the system
Option 5
5. x+y=-4
Inserting x=-6 and y=2
(-6)+(2)
-6+2
-4
Since -4 ≠ -4, then this is the equation of the line and it makes up the system.
Then, there are two option that make up the system
3. 3x + 2y = -14
And
5. x+y=-4
Its representedf by 2 polygons(triangles)
first one :
24-20=4
11-6=5
second:
24-14=10
11-7=4
B. frind area of 2 small trianges
a=(base x height )/2
first=4x5/2=10ft square
second=10x 4/2=20ft square
add them=10+20=30
rectangle24x 11=264
264-30=234