The length of both rooms is 10 meters and the width for the kitchen is 5 meters, while the one for the dining room is 9 meters.
<h3>How to find the length of the rooms?</h3>
Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).
- 50: 50 25 10 5 1
- 90: 90 45 30 18 15 10 9 6 5 3 2 1
The greatest common number is 10, so 10 meters is the length of the room.
<h3>How to find the width?</h3>
Use the formula
- A = lenght x width or width = area / lenght
Kitchen.
- Width: 50 / 10
- Width: 5 meters
Dining room:
- Width: 90 / 10
- Width: 9 meters
Note: In this question the diagram is missing; below, I attach the diagram.
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Answer:
There are 31 students in the class.
Step-by-step explanation:
2(3x+4y) = 2(24)
6x+8y = 48
Add both the equations
6x + 8y = 48
+ x - 8y = -20
—————————
7x = 28
x = 28/7
x = 4
Plug in this value in the second equation
(4) - 8y = -20
-8y = -24
y = -24/-8
y = 3
Therefore:
x = 4
y = 3
The area of a square is expressed as:
Area = s^2
We are given the area of both windows. We will use this value for the calculations. We set s as the side of the larger window and a for the smaller window.
Total area = Area larger + area smaller
1025 = s^2 + a^2
Since it was said that the side of the larger window, s is 5 in longer than the side of the smaller window, a (s = 5+a) then:
<span>1025 = s^2 + a^2
</span>1025 = (5+a)^2 + a^2
simplifying we obtain,
a = 20 inches
The observed results would be very unlikely if the alternative hypothesis were true.
What does the alternative hypothesis mean?
A statement used in experiments using statistical inference is known as the alternative hypothesis. It is indicated by Ha or H1 and runs counter to the null hypothesis.
Alternatively, it is only a null-free option, as we can also state. An alternative theory is a claim that a researcher is testing in a hypothesis test.
What is an illustration of a different hypothesis?
Just like the null, the alternative hypothesis is an option. For instance, if your null is "I'm going to win up to $1,000" and your alternate is "I'm going to win $1,000 or more," you're essentially determining whether there is sufficient variance in the alternate hypothesis to allow you to reject the null hypothesis.
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