Answer: 4,5
Step-by-step explanation:
What is (41 x 24) = 984
The largest 3-digit number is 999.
999 divided by 24 is 41.625 .
To say that another way: When you have a bucket with room for 1,000 in it, you can fit 24 into it 41 times, with some space left over … but not enough to squeeze in another 24.
So the largest number less than 999 that can fit some 24s into it with no space left over is (41 x 24) = 984 .
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Hey. Let me help you on this one.
In order for us to solve this problem, we will need to set up an equation which we can solve later. I will also be attaching an image with the work shown in case you don't understand my explanation. Make sure to read over it since it will help you with your studies.
We know that the length is twice the width, meaning that

, with "a" standing for length, and "b" standing for width. Now that we have formed an equation for length, we can actually form an equation for perimeter.

Let's simplify the equation so it's easier and less confusing for us to solve it.

Let's divide 6 from both sides, thus eliminating all variables except for b on the right side.

"3" in 8.3 is repeating. This is very important to remember. Now, we know the width of the triangle. Let's find the length of the triangle so we can then multiply both numbers together and find the area.


"6" in 16.6 is repeating as well. It's crucial to remember as well. We know the values now, meaning that we can find the area of the rectangle.

Answer: Area of the rectangle is 138.8 (with 8 repeating).
Answer:
D. y ≤ –3x + 4
Step-by-step explanation:
Answer: 0.0016
Step-by-step explanation:
Given the following :
Population mean(m) = 196
Population Standard deviation (sd) = 32
Number of sample (n) = 18
Sample mean (x) = Total weight of sample / number of samples = 3928 / 18 = 218.2
Obtaining the test statistic (z) :
Z = [(x - m) / (sd/√n)]
Z = [(218.2 - 196) / (32/√18)]
Z = [(22.2 / 7.5424723)]
Z = 2.943
Hence,
P(Z > 2.94) = 1 - P(Z < 2.94)
= 1 - 0.9984
= 0.0016