Answer:
4.550.
Step-by-step explanation:
Converting to decimal form:
9/2 = 4.5
4 1/2 = 4.5
4.505
4.550
The largest is 4.550.
Answer:
95.44%
Step-by-step explanation:
Mean rate (μ) = 160 euros
Standard deviation (σ) = 8 euros
For any given rate, X, the z-score is:
![z=\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
For X = 144 euros:
![z=\frac{144-160}{8}\\ z=-2](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B144-160%7D%7B8%7D%5C%5C%20z%3D-2)
For X= 176 euros
![z=\frac{176-160}{8}\\ z=2](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B176-160%7D%7B8%7D%5C%5C%20z%3D2)
In a standard distribution, a z-score of -2 corresponds to the 2.28th percentile, while a z-score of 2 corresponds to the 97.72th percentile.
Therefore, the percentage of hotels with rates between 144 and 176 euros is:
![P=97.72-2.28\\P=95.44\%](https://tex.z-dn.net/?f=P%3D97.72-2.28%5C%5CP%3D95.44%5C%25)
Step-by-step explanation:
ΔACX is an isosceles triangle, so ∠AXC = ∠XAC. We'll call the measure of this angle x°.
∠AXC and ∠BXC are supplementary, so ∠AXC + ∠BXC = 180. That means ∠BXC = 180 − x.
ΔBXC is an isosceles triangle, so ∠XBC = ∠XCB. We'll call the measure of this angle y°.
Angles of a triangle add up to 180, so:
y + y + (180 − x) = 180
2y = x
y = x/2
∠ACX and ∠XCB are complementary, so ∠ACX + ∠XCB = 90.
x + y = 90
x + x/2 = 90
3/2 x = 90
x = 60
Therefore, ∠AXC = ∠XAC = 60°.
Answer:
![4^6](https://tex.z-dn.net/?f=4%5E6)
Step-by-step explanation:
![4^9 \div 4^3](https://tex.z-dn.net/?f=4%5E9%20%5Cdiv%204%5E3)
Apply the law of exponents.
![=4^{9-3}](https://tex.z-dn.net/?f=%3D4%5E%7B9-3%7D)
![=4^6](https://tex.z-dn.net/?f=%3D4%5E6)
6 out of 6 is the same as 6 divided by 6, or as fraction 6/6.
If you have 10 apples and you divide them into 2 groups there will be 5 in each group. (10/5 = 2)
Similarly, If you have 6 apples and you divide them into 6 groups, there will be one in each group.