Given that 2 large puzzle costs $16 then
2l=16
or
l=8
That means cost of 1 large puzzle = $8
Given that 3 small puzzle costs $15 then
3s=15
or
s=5
That means cost of 1 small puzzle = $5
Now we will use this information to find the correct choice.
---
First choice is <u>wrong </u>as coefficient 8 is with 8l so that gives cost of 1 large not small puzzle.
---
Second choice is <u>correct </u>as coefficient 8 is with 8l so that gives cost of 1 large puzzle.
---
Third choice is <u>correct </u>as coefficient 5 is with 5s so that gives cost of 1 small puzzle.
---
Fourth choice is <u>Wrong </u>as coefficient 5 is with 5s so that gives cost of 1 small not large puzzle.
---
Fifth choice is <u>wrong </u>as constant 128 gives total cost of not the total number of puzzles.
Answer:
420
Step-by-step explanation:
15%= 0.15
2800*0.15= 420
Answer:
a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.
b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.
Step-by-step explanation:
Question a:
20% of employees engage in physical exercise.
This 20% is composed by:
8% of 60%(males)
x% of 100 - 60 = 40%(females).
Then, x is given by:
0.38 = 38%
Probability of being a female who engages in exercise:
40% are female, 38% of 40% engage in exercise. So
0.38*0.4 = 0.152
0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.
B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?
40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So
0.62*0.4 = 0.248
0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.
Answer:
w = π/2
Step-by-step explanation:
I used trig identities (double angle) to solve this problem.
Step 1: Rearrange problem
2cos²(w) - cos(w) - 1 = 0
2cos²(w) - 1 - cos(w) = 0
Step 2: Trig Identity
cos2w - cos(w) = 0
Step 3: Combine like terms
cosw = 0
Step 4: Solve
w = cos^-1(0)
w = π/2
I may have done it wrong so don't rely too much on me
3.141592653
Also written as 22/7 as a fraction
