Answer:
AB=15 BD=18
Step-by-step explanation:
AB is 15 because AB=AC and AC is 15
BD:
Using the Pythagorean Theorem
10²+15²=√325
√325=18
10 is from AB-CD
15 is the height which is AC
In the inverse we replace the place of x by y .
![g(x) = \sqrt[3]{x} - 3 \\ \\ x = \sqrt[3]{y} - 3 \\ \sqrt[3]{y} = x + 3 \\ y = {(x + 3)}^{3} \\ y = {(x + 3)}^{2} (x + 3) \\ y = ({x}^{2} + 6x + 9)(x + 3) \\ \\ y = {x}^{3} + 6 {x}^{2} + 9x + 3 {x}^{2} + 18x + 27 \\ \\ y = {x}^{3} + 9 {x}^{2} + 27x + 27 \\ \\ \\ g(x)^{ - 1} = {x}^{3} + 9 {x}^{2} + 27x + 27](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20-%203%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7By%7D%20%20-%203%20%5C%5C%20%20%5Csqrt%5B3%5D%7By%7D%20%20%3D%20x%20%2B%203%20%5C%5C%20y%20%3D%20%20%7B%28x%20%2B%203%29%7D%5E%7B3%7D%20%20%5C%5C%20y%20%3D%20%20%7B%28x%20%2B%203%29%7D%5E%7B2%7D%20%28x%20%2B%203%29%20%5C%5C%20y%20%3D%20%20%28%7Bx%7D%5E%7B2%7D%20%20%2B%206x%20%2B%209%29%28x%20%2B%203%29%20%5C%5C%20%5C%5C%20%20y%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%206%20%7Bx%7D%5E%7B2%7D%20%20%2B%209x%20%2B%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%2018x%20%2B%2027%20%5C%5C%20%20%5C%5C%20y%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%209%20%7Bx%7D%5E%7B2%7D%20%20%2B%2027x%20%2B%2027%20%5C%5C%20%20%20%5C%5C%20%5C%5C%20g%28x%29%5E%7B%20-%201%7D%20%20%3D%20%20%7Bx%7D%5E%7B3%7D%20%20%2B%209%20%7Bx%7D%5E%7B2%7D%20%20%2B%2027x%20%2B%2027%20)
I hope I helped you^_^
Answer:
No
Step-by-step explanation:
may i be marked as brainliest?
Answer:
Almost 2.5% of the students spent more than $275 in a semester.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 235
Standard deviation = 20
According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester?
95% of the measures are within 2 standard deviation of the mean. The other 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of those are below two standard deviations of the mean and 2.5% are more than two standard deviations above the mean.
235 + 2*20 = $275
Almost 2.5% of the students spent more than $275 in a semester.
Answer:
x=4
Step-by-step explanation:
16-4=12
3x=12
3*4=12
