Answer:
.8
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that the probability that Jane makes money in a given week is .6 and the probability that Jane and Maria both make money in a given week is .48. Then the probability that Maria makes money in a given week...
Let the probability that Jane makes money in a given week be p(j) and that Maria makes money in a week be p(m) then
p(j) = .6 and
p(j) * p(m) = .48
.6 * p(m) = .48
p(m) = .48/.6
= .8
Answer:
75
Step-by-step explanation:
80-5=75
Answer:
The length of side b is 179 ft
Step-by-step explanation:
Given triangle ABC in which
∠A = 33°, ∠B = 63°, c=200
we have to find the length of b
In ΔABC, by angle sum property of triangle
∠A+∠B+∠C=180°
33°+63°+∠C=180°
∠C=180°-33°-63°=84°
By sine law,




The length of side b is 179 ft
Option C is correct.
1. You have that:
- The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span>
- He wants to surround it with a concrete walkway 3 feet wide.
- He can only afford 300 square feet of concrete for the walkway.
2. Therefore, the tota area is:
At=L2xW2
L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
W2 is the width of the walkway (W1+3+3⇒W2=W1+6)
3. The area of the walkway is:
A2=At-A1
A2=300 ft²
4. Therefore, you have that the width of the swimming pool is:
A2=(W1+10)(W1+6)-(W1+4)(W1)
300=(W1²+6W1+10W1+60)-(W1²+4W1)
W1²+16W1+60-W1²-4W1-300=0
12W1-240=0
W1=240/12
W1=20 ft
5. And the length is:
L1=W1+4
L1=20+4
L1=24 ft
Answer: 120
Step-by-step explanation:
Given : The league championship 800 meter race has 6 runners.
The number of positions = 3
Since order matters here , so we use Permutation.
The permutation of n things taking r at a time is given by :-

Then, the number of different ways they place first, second, and third :_

Hence, they can place first, second, and third in 120 different ways .