The following two-way table shows the data for the students of two different grades in a school:Based on the relative row frequency, the students of which grade are more likely to be members of the science club?
Grade 7
Grade 8
The students of both grades are equally likely to be members of the science club
No conclusion can be drawn about the chances of a student being a member of the science club
The following two-way table shows the data for the students - 2

Answers

Answer 1
Answer: The correct answer is Grade 7. In Grade 7, 20/22 students were in the science club, while in Grade 8, 20/28 students were in science club. If we simplify these fractions and get a least common denominator, we can compare them to see which is larger.

Grade 7 = 10/11
Grade 8 = 5/7

Now that we've simplified the fractions, let's find a common denominator for both. In this case, I'm going to use 77.

Grade 7 = 70/77
Grade 8 = 55/77

Since 70 is greater than 55, it is more likely that the Grade 7 students will be in the science club.

Hope this helps!
Answer 2
Answer:

Answer:

grade 7

Step-by-step explanation:


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Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure ofside LM. Round your answer to the nearest tenth if necessary.

Answers

Answer:

LM = 24.3

Step-by-step explanation:

In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.

Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as

LK / HG = LM / IH

34/7 = LM / 5

Multiply both sides by 5

34*5/7 = LM

LM ≈ 24.2857

Rounding to the nearest tenth, LM = 24.3

Answer:

24.3

Step-by-step explanation:

Suppose contact lenses cost $300 for a year’s supply or $30 for a month’s supply. Which is less expensive to order per year, paying for 12 months at one time or paying for 1 month at a time?(1 point) month(s) at a time

Answers

Answer: Buying them for the year- 300 dollars

Step-by-step explanation:

30 x 12 is equal to 360 dollars, which is more expensive than 300 dollars.

What is the square root of 300 rounded to the nearest tenth?

Answers

17 < √(300) < 18\ becouse\ 17^2=289 < 300 < 324=18^2

17.3^2= 299.29 < 300\n\n17.4^2=302.76 > 300

17.3 < √(300) < 17.4

√(300)\ \text{is closer to 17.3. Therefore}\ √(300)\approx17.3

What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)

Answers

Answer:

(3-2n)/(n-4)

Step-by-step explanation:

We have been given the expression

(n^2+10n+21)/(n^2+3n-28)-(3n)/(n-4)

Let us write the numerator and denominator of first expression in factored form using AC method.

n^2+10n+21\n=n^2+7n+3n+21\nn(n+7)+3(n+7)\n(n+7)(n+3)

And the factors of denominator is

n^2+3n-28\n=n^2+7n-4n-28\nn(n+7)-4(n+7)\n(n+7)(n-4)

Therefore, the expression becomes

((n+7)(n+3))/((n+7)(n-4))-(3n)/(n-4)\n\n\text{Cancel the common terms}\n\n(n+3)/(n-4)-(3n)/(n-4)\n\n\text{Denominator of both rational expression is same}\n\text{hence, we can directly add the numerators}\n\n(n+3-3n)/(n-4)\n\n(3-2n)/(n-4)

Thus, the simplified form is (3-2n)/(n-4)

The answer is (-2n+3)/(n-4)

Which of these data sets is symmetrical?A) 1,8,15,15,15,22,22,22,29,36,43
B) 1,8,15,22,22,22,29,29,29,36,43
C) 1,8,15,15,22,22,22,29,29,36,43
D) 1,1,15,15,22,22,22,29,29,36,43

Answers

The answer is B

Hope this helps!

It's C. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43

Can someone help me with math?Come up with and describe two scenarios: one that models a direct variation situation and one that models an inverse variation situation. Do not state explicitly which scenario is which, but provide at least four data pairs for each situation. Your classmates will have to determine which of the scenarios is a direct variation and which is an inverse variation, and the value of k for each.

Answers

An example of a direct variation scenario is the increase in the income of a start-up bakeshop when the number of cakes sold increase. Example data are (4, $ 100), (5, $ 125), (6, $ 150), and (7, $ 175). 

The example of indirect variation scenario is the decrease in time it takes to reach a destination when the speed of the mobile increases. This is shown in the data points: (10 kph, 10 mins), (12 kph, 8 mins), (14 kph, 6 mins), and (16 kph, 4 mins). 

Answer:

Direct

The amount of items you buy at a 1dollar store and the bill

More items—-> more dollars to pay

Time and toms savings if his mother gives him every day a dollar to put in his saving’s can.

More days—->more dollars

Costumers of a restaurant and times it’s tv commercial it’s on air

More views —> more costumers

Inverse

Money Bob spends during a month and amount of money in his bank account

More spending—-> less money

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One day passes—-> one day left less

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One more mile traveled—-> more gas spent—> les gas in the car

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