Answer:
A number less than 25 is 24 or below that.
Step-by-step explanation:
Hope this helps! Not sure if this is what you need but I hope it is
Answer:
length: 12 ft
area: 72 square feet
Step-by-step explanation:
Let L represent the length of the mat in feet. Then L/2 is the width and the perimeter is ...
P = 36 = 2(L +L/2) = 3L . . . . . substitute the given information and simplify
12 = L . . . . . . divide by 3
The length of the mat is 12 ft.
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The width of the mat is L/2 = 6 ft, and the area is the product of length and width.
Area = (12 ft)(6 ft) = 72 ft^2
The area of the mat is 72 square feet.
Recall that A = 1/2bh.
We are given that h = 4+2b
So, putting it all together:
168 = 1/2 b(4+2b)
168 = 1/2(4b + 2b^2)
168 = 2b + b^2
b^2 + 2b - 168 = 0.
Something that multiplies to -168 and adds to 2? There's a trick to this.
Notice 13^2 = 169. So, it's more than likely in the middle of the two numbers we're trying to find. So let's try 12 and 14. Yep. 12 x 14 = 168. So this factors into (b+14)(b-12) So b = -14 or b =12. Is it possible to have a negative length on a base? No. So 12 must be our answer.
Let's check this. If 12 is our base, then according to our problem, 2*12 + 4 would be our height... or 28. so what is 12 * 28 /2?
196. Check.
Hope this helped!
Answer:
A) Mean = 135 Variance = 62 Standard Deviation = 8
Step-by-step explanation:
Given that :
Proportion (p) = 54%
Sample size (n) = 250
Using Normal approximation :
Mean = np
Mean = 250 * 0.54 = 135
Variance = npq ; q = 1 - p = 1 - 0.54 = 0.46
Variance = (250 * 0.54 * 0.46) = 62.1 = 62
Standard deviation = √variance = √62.1
Standard deviation = 7.8803553 = 8
Answer:
decimal result is 0.6 but fraction wise its 3/5
