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emmainna [20.7K]
3 years ago
9

Write the equation of the parallel line - x + 2y = 12 that goes through the

Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer:

Step-by-step explanation:

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the first group of students consists of 10 and their average age was 13 years old the next group consisted of 30 students and th
Kazeer [188]

Answer: The average was 9 years old find the average age of both groups is 10 years old.

Step-by-step explanation:

Formula foe average : \text{Average} =\dfrac{\text{Sum of all observations}}{\text{Number of observations}}

Given : The first group of students consists of 10 and their average age was 13 years old.

i.e. 13=\dfrac{\text{Sum of ages of students of first group}}{10}\\\\\Rightarrow\ \text{Sum of ages of students of first group}=13\times10=130      (1)

The next group consisted of 30 students and their average was 9 years old.

i.e. 9=\dfrac{\text{Sum of ages of students of next group}}{30}\\\\\Rightarrow\ \text{Sum of ages of students of nextgroup}=9\times30=270      (2)

Then from (1) and (2) , the sum of both groups (first group and next group )students = 130+270 =400

Combined students of both groups (first and next group )= 10+30=40

Now , the average of both groups =\dfrac{\text{Sum of combined students}}{\text{combined students}}

=\dfrac{400}{40}=10

Hence, the average was 9 years old find the average age of both groups is 10 years old.

4 0
3 years ago
What is the answer to this equation?
Ivan
X < -5  is your answer
4 0
3 years ago
Read 2 more answers
The test to detect the presence of a certain protein is 98% accurate for corn plants that have the protein and 97% accurate for
larisa [96]

Using the given percentages, it is found that the probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

<h3>Percentages:</h3>

The percentages associated with an incorrect detection are:

  • 2% of 3.5%(have the protein).
  • 3% of 96.5%(do not have the protein).

Hence:

p = 0.02(0.035) + 0.03(0.965) = 0.02965

The probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

You can learn more about percentages and probabilities at brainly.com/question/25960993

3 0
2 years ago
If x - y =5, x + y =1, then x^2 - y^2= ??<br><br>+explanation please and thanks​
Sveta_85 [38]
<h3>Answer:  5</h3>

=================================

Explanation:

Apply the difference of squares rule

x^2 - y^2 = (x-y)(x+y)

x^2 - y^2 = (5)(1)

x^2 - y^2 = 5

----------

Alternatively, you can solve the system

\begin{cases}x-y=5\\x+y = 1\end{cases}

for x and y to get (x,y) = (3,-2).

Then compute x^2-y^2 = 3^2-(-2)^2 = 9-4 = 5

8 0
2 years ago
The table shows the distance that two trains are from Center Station at various times of the day.
BARSIC [14]

Answer: Train 2 is traveling 4 miles per hour faster than train 1.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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