Answer: The sales price is $13.78
The original price is $57.41. It is selling at 76% off.
First, we need to find the discount. To find the discount, we need to find out what is 76% of $57.41
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Find discount
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76% x $57.41 ← change the percentage to decimal
= 0.76 x 57.41
= $43. 63 (nearest hundredth)
Now that we know the discount, we can find the sales price by subtracting the discount from the original price.
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Find sales price
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$57.41 - $43.63 = $13.78
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The sales price is $13.78.
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The attached picture has the small triangle, with the tree as one leg of the triangle and the large triangle, with the building as the corresponding leg of that triangle.
In the original picture, the single small line marked in the side are same length (we can call this x) and the double small line marked in the side are of same length (we can call this y).
So as seen in the attached image:
- Small triangle's hypotenuse (side opposite of 90 degree angle) is x and the base is y.
- Similarly for the larger triangle, hypotenuse is 2x and base is 2y.
- Angle labeled a is same for both
- Also we have 2 right angles as shown
Hence, the triangles are similar and the ratio of their sides are also same.
If we take any side (let's take the hypotenuse) and compute the ratio. We have,
. <em><u>This implies that we can multiply 0.5 to any side of larger triangle to get corresponding side of smaller triangle.</u></em>
So, the building height and tree height are corresponding sides. To get height of tree, we multiply 0.5 to 120 to get 60 as the height of the tree.
ft
This is the correct answer.
ANSWER: 60 ft
Answer:

Step-by-step explanation:
To find the roots, factor and set equal to 0 or use the quadratic formula. This quadratic equation does not factor and must be solved using the quadratic formula.
where a = 2, b=0, and c=26
Answer: 0.1854
Step-by-step explanation:
Given : Suppose that a particular candidate for public office is in fact favored by 48% of all registered voters in the district.
Let
be the sample proportion of voters in the district favored a particular candidate for public office .
A polling organization will take a random sample of n=500 voters .
Then, the probability that p will be greater than 0.5, causing the polling organization to incorrectly predict the result of the upcoming election :
![P(\hat{p}>0.5)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.5-0.48}{\sqrt{\dfrac{0.48(0.52)}{500}}})\\\\=P(z>0.8951)\ \ [\because\ z=(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(z\leq0.8951)\ \ [\because\ P(Z>z)=1-P(Z\leq z)]\\\\ = 1-0.8146=0.1854](https://tex.z-dn.net/?f=P%28%5Chat%7Bp%7D%3E0.5%29%3DP%28%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%3E%5Cdfrac%7B0.5-0.48%7D%7B%5Csqrt%7B%5Cdfrac%7B0.48%280.52%29%7D%7B500%7D%7D%7D%29%5C%5C%5C%5C%3DP%28z%3E0.8951%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%28%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5D%5C%5C%5C%5C%3D1-P%28z%5Cleq0.8951%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3Ez%29%3D1-P%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%20%3D%201-0.8146%3D0.1854)
∴ Required probability = 0.1854