The function
is a parabola concave up, whose solutions are
from here, you can use the quadratic formula
to find that the solutions of the parabola are
So, the parabola is positive if (which wouldn't make sense in our case) or
So, if Tanya caters 25 meals she breaks even, and starting with the 26th meal she will begin to profit.
The values of a and b are a = 33% and b = 43% ⇒ last answer
Step-by-step explanation:
The venn-diagram contains:
The table:
→ Band : blue : N.b : total
→ gold : 16% : a : 49%
→ N.g : b : 8% : 51%
→ Total : 59% : 41% : 100%
We need to find the values of a and b
From the table
16% represents the percentage of blue and gold uniforms (2nd row with 2nd column)
From venn-diagram
The common part of blue and gold label with 12 (overlap of two circles)
∴ 16% of the total number of students = 12
∵ 16% × x = 12
∴ × x = 12
∴ 0.16 x = 12
- Divide both sides by 0.16
∴ x = 75
∵ x represents the total number of students
∴ The total number of students were asked is 75
From the table
b represents the percentage of blue but not gold uniforms (3rd row and 2nd column)
From venn-diagram
The part that has blue and not gold labeled with 32 (the part of the blue circle not in the gold circle)
∴ 32 of the total number of students like the blue but not gold
- Divide 32 by the total 75 , then multiply the quotient by 100%
to find the percentage of blue but not gold
∴ b = × 100% = 42.6666%
∴ b ≅ 43%
From the table
a represents the percentage of gold nut not blue uniforms (2nd row and 3rd column)
From venn-diagram
The part that has gold and not blue labeled with 25 (the part of the gold circle not in the blue circle)
∴ 25 of the total number of students like the gold but not blue
- Divide 25 by the total 75 , then multiply the quotient by 100%
to find the percentage of gold but not blue
∴ a = × 100% = 33.3333%
∴ a ≅ 33%
The values of a and b are a = 33% and b = 43%
To check your answer complete the table you will find the total of it is 100% ( for the columns 16% + 43% = 59% , 33% + 8% = 41% , then 59% + 41% = 100%, for the rows 16% + 33% = 49% , 43% + 8% = 51% , then 49% + 51% = 100%)
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Answer:
c) .22
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
In this question:
Then