Hi there! So the the new price is $93, and went up from $55. Let's subtract the numbers. 93 - 55 is 38. The change is 38. To find the percent markup, we can write and solve a proportion. Set it up like this:
38/55 = x/100
This is because the amount of change goes above the original (55), and x represents the percent out of 100. We are looking for the markup. Let's cross multiply the values. 100 * 38 is 3,800. 55 * x is 55x. 3,800 = 55x. Now, divide each side by 55 to isolate the x. 55x/55 cancels out. 3,800/55 is 69.0909 or 69 when rounded to the nearest whole number. There. The percent of markup is approx. 69%.
Answer: 4 terms
Step-by-step explanation:
-4a , 8c, -4b, and 3
The answer is 100 degrees Celsius.
You're looking for a value
![z](https://tex.z-dn.net/?f=z)
such that
![\mathbb P(0](https://tex.z-dn.net/?f=%5Cmathbb%20P%280%3CZ%3Cz%29%3D0.17%5Cquad%5Ctext%7Bor%7D%5Cquad%5Cmathbb%20P%28-z%3CZ%3C0%29%3D0.17)
Because the distribution is symmetric, the value of
![z](https://tex.z-dn.net/?f=z)
in either case will be the same.
Now, because the distribution is continuous, you have that
![0.17=\mathbb P(0](https://tex.z-dn.net/?f=0.17%3D%5Cmathbb%20P%280%3CZ%3Cz%29%3D%5Cmathbb%20P%28Z%3Cz%29-%5Cmathbb%20P%28Z%3C0%29)
The mean for the standard normal distribution is
![0](https://tex.z-dn.net/?f=0)
, and because the distribution is symmetric about its mean, it follows that
![\mathbb P(Z](https://tex.z-dn.net/?f=%5Cmathbb%20P%28Z%3C0%29%3D0.5)
.
![0.17=\mathbb P(Z](https://tex.z-dn.net/?f=0.17%3D%5Cmathbb%20P%28Z%3Cz%29-0.5%5Cimplies0.67%3D%5Cmathbb%20P%28Z%3Cz%29)
You can consult a
![z](https://tex.z-dn.net/?f=z)
score table to find the corresponding score for this probability. It turns out to be
![z\approx0.4399](https://tex.z-dn.net/?f=z%5Capprox0.4399)
.
Answer:
∠ 4 = 130°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 4 is an exterior angle of the triangle , so
∠ 4 = ∠ 1 + ∠ 2 ( substitute values )
11x + 9 = 6x + 6 + 4x + 14 , that is
11x + 9 = 10x + 20 ( subtract 10x from both sides )
x + 9 = 20 ( subtract 9 from both sides )
x = 11
Then
∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°
your friend may have only calculated ∠ 1
∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°