Michael is an avid reader, his generous grandparents gave him money for his birthday, and he decided to spend at most $150 on bo
1 answer:
Answer:
The system of inequality to represent the situation is
p + h 12
8 p + 12 h = 150
Step-by-step explanation:
Given as :
Total money to be spend on books = $150
The cost of each paperback book = $8
The cost of each hard back book = $12
The total number of books to be purchased = 12
Let The number of paperback books = p
Let The number of hard back books = h
<u>According to question</u>
Total number of books to be purchased = number of paperback book + number of hard back book
i.e p + h 12 ...........A
<u>Again</u>
Total money to be spend on books = number of paperback books × cost of each paperback book + number of hard back books × cost of each hard back book
i.e p × $8 + h × $12 = $150
Or, 8 p + 12 h = 150 .........B
So, The system of inequality to represent the situation =
p + h 12 and 8 p + 12 h = 150
Hence, The system of inequality to represent the situation is
p + h 12 and 8 p + 12 h = 150 . Answer
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The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.
<h3>What is a quadratic equation?</h3>A quadratic equation is an equation in which the highest power of the variable is two.
Yvonne is solving the quadratic equation, which is,
6x² +24x +7 =0
He is solving the above equation by completing the square.
The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,
6x² +24x = -7
Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.
In the image attached below, the first step of the Yvonne while solving the equation by completing the square is,
6x² +24x = 7
Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.
Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.
The table is attached with the answer below
Learn more about the quadratic equation here;
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Answer:
a) The mean number of cases is 0.14608 cases.
b) The probability that the number of cases is exactly 0 or 1 is 0.990.
c) The probability of more than one case is 0.010
d) No, because the probability of more than one case is very small
Step-by-step explanation:
We can model this problem with a Poisson distribution, with parameter:
a) The mean amount of cases is equal to the parameter λ=0.14608.
b) The probability of having 0 or 1 cases is:
c) The probability of more than one case is:
d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.