First let as solve all unit pirce
whistles 21.25 / 25 = $ 0.85 per unit
36 / 50 = $ 0.72 per unit
60 / 80 = $ 0.75 per unit
kazoos
10 / 25 = $ 0.4 per unit
18.50 / 50 = $ 0.37 per unit
27.20 / 80 = $ 0.34 per unit
a.) $ 0.85 - $ 0.72 = $ 0.13
b.) 10 / 25 = $ 0.4 per unit
c.) he must order 80 kazoos she should
order
Answer: (a) P(no A) = 0.935
(b) P(A and B and C) = 0.0005
(c) P(D or F) = 0.379
(d) P(A or B) = 0.31
Step-by-step explanation: <u>Pareto</u> <u>Chart</u> demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.
The Pareto chart below shows the number of people and which category they qualified each public school.
(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:
P(no A) = ![1-\frac{68}{1052}](https://tex.z-dn.net/?f=1-%5Cfrac%7B68%7D%7B1052%7D)
P(no A) = 1 - 0.065
P(no A) = 0.935
b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:
P(A and B and C) = ![(\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})](https://tex.z-dn.net/?f=%28%5Cfrac%7B68%7D%7B1052%7D%29%28%5Cfrac%7B258%7D%7B1052%7D%29%28%5Cfrac%7B327%7D%7B1052%7D%29)
P(A and B and C) = ![\frac{5736888}{1164252608}](https://tex.z-dn.net/?f=%5Cfrac%7B5736888%7D%7B1164252608%7D)
P(A and B and C) = 0.0005
c) Probability of an D or an F is the sum of probabilities of an D and of an F:
P(D or F) = ![\frac{269}{1052} +\frac{130}{1052}](https://tex.z-dn.net/?f=%5Cfrac%7B269%7D%7B1052%7D%20%2B%5Cfrac%7B130%7D%7B1052%7D)
P(D or F) = ![\frac{399}{1052}](https://tex.z-dn.net/?f=%5Cfrac%7B399%7D%7B1052%7D)
P(D or F) = 0.379
d) Probability of an A or B is also the sum of probabilities of an A and of an B:
P(A or B) = ![\frac{68}{1052} +\frac{258}{1052}](https://tex.z-dn.net/?f=%5Cfrac%7B68%7D%7B1052%7D%20%2B%5Cfrac%7B258%7D%7B1052%7D)
P(A or B) = ![\frac{326}{1052}](https://tex.z-dn.net/?f=%5Cfrac%7B326%7D%7B1052%7D)
P(A or B) = 0.31
Answer:
Equation: 2x + 5 + 6x + 15 = 92
Solution: x = 9
m∠A =23° m∠B = 69°
Step-by-step explanation:
measure of ∠B = 3(2x + 5) = 6x + 15
The sum of the angles = 92 = 2x + 5 + 6x + 15
92 = 8x + 20
72 = 8x
x = 9
m∠A = 2(9) + 5 = 18 + 5 = 23
m∠B = 6(9) + 15 = 54 + 15 = 69
Check: 23 + 69 = 92 and 23(3) = 69
Answer: x+2 / x+ 9, x = -2, x=-9 ( A )
Solution:
Breakdown the problem into two sets
Step 1: simplify x^2 -10x - 24
Factorize the above equation,
Multiply the last term (24) with the first term coefficient i.e. 1
Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10
x2 - 12x + 2x - 24 >>>> (x2-12x) + (2x-24) >>> take common
>>>> x(x-12) + 2( x-12)
Step 3: (x + 2) (x - 12)
Step 4: Step 1: simplify x^2 - 3x - 108 using the same steps
x2 - 12x + 9x - 108 >>>> take common x(x-12) + 9 ( x -12) >>>
(x + 9) (x - 12) final product
Now, Simplify the equation as a whole
(x + 2) (x - 12) / (x + 9) (x - 12) Note: (x - 12) cancels out
= (x + 2) / (x + 9) with x= -2 and x= -9