Below is a labeled rectangle:
length = w + 20
we know length is 36 so we plug that in:
36 = w + 20
We need to isolate w and to do that we must subtract 20 from both sides:
(36 - 20) = w + (20 - 20)
16 = w + 0
w = 16
width is 16 feet
Hope this helped!
Answer:
3.492
Step-by-step explanation:
$3.3174 is the decreased price so it's 95% of the actual price.
to find the first price multiple the decreased price with 100 then divide it by 95
100 × 3.3174 = 331.74 ➡ 331.74 ÷ 95 =3.492
Answer:
a)
And rounded up we have that n=543
b)
And rounded up we have that n=1509
c)
And rounded up we have that n=13573
Step-by-step explanation:
For this case since we don't have previous info we can assume that the best estimator for the true proportion is
The margin of error for the proportion interval is given by this formula:
(a)
Part a
The significance level is The critical value would be for this case:
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=543
Part b
And rounded up we have that n=1509
Part c
And rounded up we have that n=13573
Since (x+1) is a factor of the given polynomial p(x), use what we call the "Factor Theorem." In this theorem, the polynomial p(x) is equal to zero so that no remainder will exist.
Let p(x) = 0, so
2x⁴ - 5x²<span> + cx + 1 = 0
We need to substitute a value for x. Then, use the factor x + 1 = 0 as x = -1.
2(-1)</span>⁴ - 5(-1)<span>²</span> + c(-1) + 1 = 0
Note that a negative one raise to the power of a positive number will result a positive one. Solving for c,
2(1) - 5(1) + c(-1) + 1 = 0
2 - 5 - c + 1 = 0
-c = -2 + 5 - 1
-c = 2
c = -2