Answer:
So the answer for this case would be n=2663 rounded up to the nearest integer
Step-by-step explanation:
We have the following info:
margin of error desired
the standard deviation for this case
The margin of error is given by this formula:
(a)
And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is
. And for this case would be
, replacing into formula (b) we got:
So the answer for this case would be n=2663 rounded up to the nearest integer
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
Answer:
Hey!
Your answer is $118.75!
Step-by-step explanation: How did I get this?
<u>STEP 1:</u> So we know that for a ton of rock costs us $47.50...
To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...
<em><u>(47.50 x 2 = 95)</u></em>
<u>STEP 2: </u>So for $95, you will get 2 tons of rock!
Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2
<em><u>(47.50 ÷ 2 = 23.75)</u></em>
<u>STEP 3:</u> So now we have the costs for 2 tons and the price for HALF a ton.
What we do now is easy...we ADD THE VALUES TOGTHER!
<em><u>(95 + 23.75 = $118.75)</u></em>
The result of $118.75 after adding them together is the PRICE OF 2 TONS!
<u>I HOPE THIS HELPED YOU!</u>
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Answer:
Slope: 1/3; Y-iintercept: 4 y=1/3x+4
Slope: -2; Y-intercept: 4 y=-2x
Step-by-step explanation:
Hope this helps :3
if it did pls mark brainliest
We need to convert 300 feet to yards.
We know,
3 feet = 1 yard
Hence,
300 feet * 1 yard/3 feet = 300/3 = 100 yards
He should buy 100 yards