Answer:
342 ft squared
Step-by-step explanation:
You know how to find the area of a rectangle: Multiply the dimensions together (length x width).
You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.
First, find the area of the big rectangle:
18 * 25 = 450 ft squared
Now, find the area of the small one:
9 * 12 = 108 ft squared
Finally, subtract the area of the small rectangle from the area of the big one:
450 - 108 = 342 ft squared
Hope this helps! Please comment on this answer if you have any questions :)
Answer:
One of the most basic concepts in statistics is hypothesis testing. Not just in Data Science, Hypothesis testing is important in every field. Want to know how??? Let us take an example. You must have heard about lifebuoy?? Suppose
lifebuoy claims that, it kills 99.9% of germs. So how can they say so? There has to be a testing technique to prove this claim right?? So hypothesis testing uses to prove a claim or any assumptions.
Hopefully, this helps! :D
Answer:
Riya does not pass
Step-by-step explanation:
From the question:
Section A has 80 marks
Section B has 120 marks.
The total marks from both sections = 200 marks
To pass, Riya needs to score 65% of the total marks.
Hence: 65% of 200 marks
= 65/100 × 200
= 130 marks.
To pass Riya must score 130 marks.
Riya scores:
For section A
55% in Section A
Her marks in section A = 55% × 80
= 55/100 × 80
= 44 marks
For section B
70% in Section B.
Her marks in section A = 70% × 120
= 70/100 × 120
= 84 marks
Therefore , the total marks Riya scored in both sections =
44 marks + 84 marks
= 128 marks
Riya scored a total of 128 marks. SHE DOES NOT PASS. Because the pass mark is a total of 130 marks from Section A and Section B
Answer:
36 and 216
Step-by-step explanation:
Let x and y be LCM and GCF respectively.
We are told that the sum and the difference between the LCM and GCF of two numbers is 252 and 180.
Upon using our information we will get a system of equations.
We will use substitution to solve this system of equations.
Now let us find x using equation 1,
Therefore, LCM is 216 and GCF is 36.
Let a and b our numbers. Now let us find numbers using this information.
We are given that one of them is more than twice the other.
There can be several such numbers. 36 and 216 can also be numbers. Let us check these numbers.
LCM of 36 and 216 is 216 and GCF is 36 and it satisfies our condition that because 216 is more than twice 36.
Therefore, our numbers will be 36 and 216.
