Because it does not specify that she has to choose one or two from each category all pieces of jewelry can be treated as choices in a combination set.
the formula for a combination is
where n is a total number of choices ( 11 )
and r is number chosen out of those choices (4)
so
C(11,4)= \frac{11!}{4!(11-4)!}
She has 330 possible choices to come home with 4 pieces of jewelry
Answer: Destiny's speed is 11 mph.
Alicia's speed is 15 mph
Step-by-step explanation:
Destiny and Alicia both leave the coffee shop at the same time, but in opposite directions. If they are 78 miles apart after 3 hours, it means that the total distance that they covered in 3hours is 78 miles
Let x represent the speed at which Destiny travelled. If Alicia travels 4 mph faster than Destiny, it means that the speed at which Alicia travelled is (x + 4) mph
Distance = speed × time
Distance covered by Destiny in 3 hours is
3 × x = 3x
Distance covered by Alicia in 3 hours is
3(x + 4) = 3x + 12
Since the total distance is 78 miles, then
3x + 3x + 12 = 78
6x = 78 - 12 = 66
x = 66/6 = 11 mph
Alicia's speed is
11 + 4 = 15 mph
Answer: P(22 ≤ x ≤ 29) = 0.703
Step-by-step explanation:
Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = output of the machine in ounces per cup.
µ = mean output
σ = standard deviation
From the information given,
µ = 27
σ = 3
The probability of filling a cup between 22 and 29 ounces is expressed as
P(22 ≤ x ≤ 29)
For x = 22,
z = (22 - 27)/3 = - 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.047
For x = 29,
z = (29 - 27)/3 = 0.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.75
Therefore,
P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703
Answer:
1,2,3,5
Step-by-step explanation:
1-Is your job as an IT administrator stressful?
2-What is your biggest source of stress?
3-How has your job impacted your personal life?
5-Have you ever considered switching careers because of on-the-job stress?
