<h2>♪Answer : </h2>
Ingat rumus determinan fungsi kuadrat yaitu :
Maka, Kita kembali jawab soalnya.
⏩Nomor (1) :
»8x² + 7x + 10 = 0
Didapatkan nilai² a, b, dan c yaitu :
Maka, nilai determinannya adalah
- D = b² - 4ac
- D = 7² - 4(8)(10)
- D = 49 - 4(80)
- D = 49 - 320
- D = -271✅
⏩Nomor (2) ;
»2x² + 10x + 10 = 5
»2x² + 10x + 10 - 5 = 0
»2x² + 10x + 5 = 0
Didapatkan nilai² a, b, dan c yaitu :
Maka, nilai determinannya adalah
- D = b² - 4ac
- D = 10² - 4(2)(5)
- D = 100 - 4(10)
- D = 100 - 40
- D = 60✅
Answer:
Part 1) The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2) The number of minutes in a month must be equal to 50 minutes
Step-by-step explanation:
<u><em>The question is</em></u>
Part 1) How many minutes would Kendra have to use in a month in order for the plan A to be preferable? Round your answer to the nearest minute
Part 2) Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan
Part 1)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>
<em>Cost Plan B</em>
we know that
In order for plan A to be cheaper than plan B, the following inequality must hold true.
cost of plan A < cost of plan B
substitute
solve for x
subtract 3x both sides
divide by 2 both sides
Rewrite
therefore
The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>
<em>Cost Plan B</em>
we know that
In order for plan A cost the same than plan B, the following equation must hold true.
cost of plan A = cost of plan B
substitute
solve for x
therefore
The number of minutes in a month must be equal to 50 minutes
Its the transitive property. Transitive means that is a=b and b=c then a=c. It matches with what they're asking for.
<h3>Answer:</h3>
A
Step-by-step explanation:
{-32, 9, 11, 12}
first, find the mean (Find the sum of the data values, and divide the sum by the number of data values )
(-32) + 9 + 11 + 12 = 0
0/0 = 0
then, find the absolute value of the difference between each data value and the mean: |data value – mean|.
-32 - 0= -32
9 -0 = 9
11 -0 = 11
12 -0 = 0
finally, find the sum of the absolute values of the differences. Divide the sum of the absolute values of the differences by the number of data values.
0 - 0 / 4 = 0
answer is 0 (A)
Probability is the study of calculating the chances or likelihood of an event occurring out of the total number of events. This likelihood is always presented as part of a whole. It could be in fractions or percentages.
There are two techniques to apply to this problem. First, we use the repeated trial equation:
P = n!/r!(n-r)! * p^(n-r) * q^r
This is used to determine the probability that an event will occur exactly 'r' times out of 'n' trials. p is the probability of success, while q is the probability of failure. Together, they add up to 1. In this case, each kind of plant has 1/3 probability. So, p=1/3 and q=2/3.
Second thing to note when dealing with probability problems are 'hint words'. When you are asked to find the probability of event A 'AND' event B happening, then you multiply their probabilities. However, when you are asked to find the probability of event A 'OR' event B happening, then you add their probabilities. Hence, the solution to this problem is:
P = 6!/4!(6-4)! * (1/3)^6-4 * (2/3)^4 + 6!/5!(6-5)! * (1/3)^6-5 * (2/3)^5
P = 0.596 or 59.6%
