Answer:
The correct answer is
A. 16%
Step-by-step explanation:
The zscore is used to solve problems of normally distributed samples.
This score indicates the percentage of a certain measure. It can be found looking at the z table.
For example, if a measure has a percentile of 75%, it is in the 100%-75% = highest 25 percent of all the measures.
has a pvalue 0.8413. So it is in the highest 1-0.8413 = 0.1587 = 16% percent of firms in the industry.
The correct answer is
A. 16%
Answer:
-4/3 = y
Step-by-step explanation:
-1/2 = 3/8y
Multiply each side by 8/3 to isolate y
-1/2 * 8/3 = 3/8y * 8/3y
-8/6 =y
-4/3 = y
Given:
The cost C (in dollars) to participate in a ski club is given by,
Where x is the number of ski trips we take.
To find:
The number of ski trips when a total cost of $315 and $485 is spent.
Explanation:
Substituting C = 315 in the given equation we get,
Substituting C = 485 in the given equation we get,
Thus,
If we spend a total cost of $315, we can take 3 ski trips.
If we spend a total cost of $485, we can take 5 ski trips.
Final answer:
• If we spend a total cost of $315, we can take 3 ski trips.
,
• If we spend a total cost of $485, we can take 5 ski trips.
Answer:
Roots are not real
Step-by-step explanation:
To prove : The roots of x^2 +(1-k)x+k-3=0x
2
+(1−k)x+k−3=0 are real for all real values of k ?
Solution :
The roots are real when discriminant is greater than equal to zero.
i.e. b^2-4ac\geq 0b
2
−4ac≥0
The quadratic equation x^2 +(1-k)x+k-3=0x
2
+(1−k)x+k−3=0
Here, a=1, b=1-k and c=k-3
Substitute the values,
We find the discriminant,
D=(1-k)^2-4(1)(k-3)D=(1−k)
2
−4(1)(k−3)
D=1+k^2-2k-4k+12D=1+k
2
−2k−4k+12
D=k^2-6k+13D=k
2
−6k+13
D=(k-(3+2i))(k+(3+2i))D=(k−(3+2i))(k+(3+2i))
For roots to be real, D ≥ 0
But the roots are imaginary therefore the roots of the given equation are not real for any value of k.
8 hrs a day for 5 days a week = (8 * 5) = 40 hrs per week
in 6 weeks.....40 * 6 = 240 hrs <==
