Answer:
5/16
Step-by-step explanation:
15+(5-x)/x=30
1) Subtract 15 from both sides:
(5-x)/x=15
2) Multiply both sides by x:
5-x=15x
3) Add x to both sides:
16x=5
4) Divide both sides by 16:
x=5/16
Answer:
53.33% probability that one woman and one man will be chosen to be on the committee
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the members are chosen is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
What is the probability that one woman and one man will be chosen to be on the committee?
Desired outcomes:
One woman, from a set of 2, and one man, from a set of 4. So
Total outcomes:
Two members from a set of 2 + 4 = 6. So
Probability:
53.33% probability that one woman and one man will be chosen to be on the committee
Answer:
133
Step-by-step explanation:
Answer is 133
Answer:
4. 8.0
5. 27.6
6. 35.5 degrees
Step-by-step explanation:
#4- Cos 48= x/12
0.669131= x/12
x=8.0
#5
Sin 78= 27/x
0.978=27/x
0.978x=27
x=27.6
#5
Tan X= 15/21
tan x= .714
inverse tan= 35.5 degrees
Roberto overtakes Juanita at the rate of (7.7 mi)/(11 h) = 0.7 mi/h. This is the difference in their speeds. The sum of their speeds is (7.7 mi)/1 h) = 7.7 mi/h.
Roberto walks at the rate (7.7 + 0.7)/2 = 4.2 mi/h.
Juanita walks at the rate 4.2 - 0.7 = 3.5 mi/h.
_____
In a "sum and diference" problem, one solution is half the total of the sum and difference. If we let R and J be the respective speeds of Roberto and Juanita, we have
R + J = total speed
R - J = difference speed
Adding these two equations, we have
2R = (total speed + difference speed)
R = (total speed + difference speed)2 . . . . . as computed above
