Answer:
12 and 3
Step-by-step explanation:
Let x= length
If you draw a rectangle. two sides would be the length x. The other two sides would be (x-9).
(length)(width) = Area
(x)(x-9) = 36
x^2 - 9x = 36 Substitute in x and x-9 for the length and width
x^2 - 9x - 36 =0 Subtract 36 from both sides
(x-12)(x+3) = 0 We are looking for 2 number that add to -9 and mult. to -36
x-12=0 and x+3=0 Set both factors to 0 and solve
x = 12 and x =-3. It does not make sense that a length could be -3 so we reject that answer. If the length is 12, then the width is 3
Answer:
Step-by-step explanation:
4859/10000 (rounded it's 48/100= 12/25)
The answer will be B.
First you need to find the probability of the red marbles which is 5/12 because there is 5 marbles and if you add they up there would be 12. Then you find the probability of the green marbles which is 2/12. After that you need to multiply them. 5/12 × 2/12. Your answer will be 10/144 but then you can simply by 2.
So your answer will be 5/72.
Hope this helped.
Answer:
1442
Step-by-step explanation:
Given,
Mean is,
Standard deviation,
,
Margin of error(E) = 0.54,
For 98% level of confidence, 
Thus, the sample size would be,
![n=[\frac{z_{\frac{\alpha}{2}}\times \sigma}{E}]^2](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%5Ctimes%20%5Csigma%7D%7BE%7D%5D%5E2)
![=[\frac{2.33\times 8.8}{0.54}]^2](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2.33%5Ctimes%208.8%7D%7B0.54%7D%5D%5E2)
