4/52 = 2/27 After you divide that you get .074 after you round it to the three places.
Answer:
539
Step-by-step explanation:
Let the total population of grizzly bears=x
In the first capture, 97 were tagged.
Therefore, ratio of the total population to the tagged=x:97
A month later, when 200 bears were captured, 36 were tagged.
Ratio of the sample to the tagged=200:36
Since a sample is representative of the population, the ratios are the same. We therefore have:
x:97=200:36
![\dfrac{x}{97} =\dfrac{200}{36}\\ $Cross multiply\\36x=200 X 97\\x=200 X 97 \div 36\\x=538.9 \approx 539](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B97%7D%20%3D%5Cdfrac%7B200%7D%7B36%7D%5C%5C%20%24Cross%20multiply%5C%5C36x%3D200%20X%2097%5C%5Cx%3D200%20X%2097%20%5Cdiv%2036%5C%5Cx%3D538.9%20%5Capprox%20539)
There are about 539 grizzly bears in the population
Hey There!
win 10 lose 12
win 15 lose 18
5×2=10, 6×2=12
5×3=15, 6×3=18
Hope This Helps!!!
Answer= x³+4x²+16x+64
Expand the following:(x + 4 i) (x - 4 i) (x + 4)
(x - 4 i) (x + 4) = (x) (x) + (x) (4) + (-4 i) (x) + (-4 i) (4) = x^2 + 4 x - 4 i x - 16 i = -16 i + (4 - 4 i) x + x^2:
-16 i + (-4 i + 4) x + x^2 (4 i + x)
| | | | x | + | 4 i
| | x^2 | + | (4 - 4 i) x | - | 16 i
| | | | (-16 i) x | + | 64
| | (4 - 4 i) x^2 | + | (16 + 16 i) x | + | 0
x^3 | + | (4 i) x^2 | + | 0 | + | 0
x^3 | + | 4 x^2 | + | 16 x | + | 64:
Answer: x^3 + 4 x^2 + 16 x + 64
Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of both boxes.
<em>Surface area (A) = 2wl + 2lh + 2hw,
</em>
Where w is width, l is length , and h is height.
- Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
- Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2
Since 1 inch = 0.0833333 foot
- Box 1 = 448 in2 x 0,0833333 =37.34 ft2
- Box 2= 424 in2 x 0,0833333 =35.19 ft2
Since the material used to make a storage box costs $1.25 per square foot.
- Box 1 =37.34 ft2 x1.25 = $ 46.675
- Box 2= 35.19 ft2 x 1.25 =$43.98
Since 50 of each are made:
- Box 1 = $ 46.675 x50 =2,333.750
- Box 2= $43.98 x50 =2,199.37
Subtracting both costs:
2,333.750(1) - 2,199.37(2) = $134.38