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german
3 years ago
5

Please help, math question.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0
Part a) 
Identify the variable and categories


By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.

2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.

Part b)
Set up and fill 2 way table.

Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells

There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below
 

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If g(x) = a f(x + b), how is f(x) transformed to get g(x)?
nevsk [136]

Answer:

There was a Horizontal translation left b units and then Vertical stretch or compression

Step-by-step explanation:

Given : g(x) = a f(x + b)

We are supposed to show the transformation

Rule : f(x)→f(x+c)

Horizontal translation left c units

So, f(x+b) is the Horizontal translation left b units

Rule : f(x)→cf(x)

Vertical stretch or compression

So,g(x) = a f(x + b)

So, Initially there was a Horizontal translation left b units and then Vertical stretch or compression

5 0
3 years ago
What is the midpoint of the line segment with endpoints (2, 14) and (6, 19)
dedylja [7]

Answer:

(4, 15)

Step-by-step explanation:

let (x,y) is the mid point of line segment with endpoints (2,14) and (6,19)

we have,

x = (2+6)/2 = 4

y = (14+16)/2 = 15

Hence the midpoint of the line segment with endpoints (2,14), (6,19) is (4,15)

4 0
3 years ago
Brandon rolls a six sided die twenty times, and records the result in the table below. how many times did brandon roll above the
Radda [10]

The average is the arithmetic mean of all the observations of a set of numbers. The number of times Brandon rolls above the average is 7.

<h3>What is average?</h3>

The average is the arithmetic mean of all the observations of a set of numbers. it is found by dividing the sum of all the observations of the set by the number of observations in the set.

\rm{Average=\dfrac{Sum\ of\ observations}{Number\ of\ observations}

In order to know the number of times Brandon rolls the dice above the average, we first need to calculate the average of the twenty rolls.

The average of the 20 times dice rolls,

\rm Average = \dfrac{6+1+3+4+4+4+6+5+5+3+6+4+4+5+2+3+5+4+4+2}{20}

\rm Average = \dfrac{80}{20} = 4

Thus, the average of the 20 rolls of the dice is 4.

Now, the number of times the result of the dice roll is above 4(x>4) is 7.

Hence, the number of times Brandon rolls above the average is 7.

Learn more about Average:

brainly.com/question/2426692

8 0
2 years ago
Solve for x. Show your work.
Korvikt [17]

Answer:

x=6

Step-by-step explanation:

The sum of the angles is a right angle, which is 90 degrees

5x+ x+54 = 90

Combine like terms

6x+54 = 90

Subtract 54 from each side

6x+54-54 = 90-54

6x = 36

Divide each side by 6

6x/6 = 36/6

x= 6

3 0
3 years ago
A man purchased a magazine at the airport for $2.69. The tax on the purchase was $0.13. What is the tax rate at the airport? The
alexdok [17]

We need to find the percent, let's start but making the equation.

The price is 2.69

The tax cost is 0.13

So what percent of 2.69 is = 0.13.

Equation: X/100 x 2.69 = 0.13

Multiply each side by 100 so we can get x alone with the price: 2.69x = 13

Now to get x alone, we must divide both sides by 2.69: x = 4.8

Finally, we just round 4.8 to the nearest whole number, which is 5 (5 or above give it a shove, 4 or below let it go, we have 8 so we give it a shove). This means that the answer will be 5%.

I hope this helps! :)

6 0
3 years ago
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