Answer:2.8
Step-by-step explanation: 42/15
Answer:
subtract the inside number's
Step-by-step explanation:
first you add the inside numbers and then once you get that number lets to say you got 66, 66 times 66=4,356 then thats your number
<h2>
Answer:</h2><h3>False</h3><h2>
Step-by-step explanation:</h2>
Let's find the inverse function of
to know whether this function has an inverse function
. So let's apply this steps:
a) Use the Horizontal Line Test to decide whether
has an inverse function.
Given that f(x) is a cubic function there is no any horizontal line that intersects the graph of
at more than one point. Thus, the function is one-to-one and has an inverse function.
b) Replace
by
in the equation for
.

c) Interchange the roles of
and
and solve for 
![x=(y-3)^3+4 \\ \\ \therefore x-4=(y-3)^3 \\ \\ \therefore (y-3)^3=x-4 \\ \\ \therefore y-3=\sqrt[3]{x-4} \\ \\ \therefore y=\sqrt[3]{x-4}+3](https://tex.z-dn.net/?f=x%3D%28y-3%29%5E3%2B4%20%5C%5C%20%5C%5C%20%5Ctherefore%20x-4%3D%28y-3%29%5E3%20%5C%5C%20%5C%5C%20%5Ctherefore%20%28y-3%29%5E3%3Dx-4%20%5C%5C%20%5C%5C%20%5Ctherefore%20y-3%3D%5Csqrt%5B3%5D%7Bx-4%7D%20%5C%5C%20%5C%5C%20%5Ctherefore%20y%3D%5Csqrt%5B3%5D%7Bx-4%7D%2B3)
d) Replace
by
in the new equation.
![f^{-1}(x)=\sqrt[3]{x-4}+3](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx-4%7D%2B3)
So this is in fact the inverse function and it isn't the same given function. Therefore, the statement is false
-x² - x + 6
First thing I would do is distribute out that negative. Your new problem is:
- (x² + x - 6)
Now, factor the inside. We need to find products of - 6 that when added together have a sum of positive 1. They are 3 and - 2.
- (x² + 3x - 2x - 6)
Group together and find your factors. I'm going to short cut and go right to them for the sake of space and time.
- (x + 3)(x - 2)
Your answer is Option B
Answer:
68% of the diameters are between 7.06 cm and 7.78 cm
Step-by-step explanation:
Mean diameter = μ = 7.42
Standard Deviation = σ = 0.36
We have to find what percentage of diameters will be between 7.06 cm and 7.78 cm. According to the empirical rule, for a bell-shaped data:
- 68% of the values are within 1 standard deviation of the mean. i.e. between μ - 1σ and μ + 1σ
- 95% of the values are within 2 standard deviations of the mean. i.e. between μ - 2σ and μ + 2σ
- 99.7% of the values are within 3 standard deviation of the mean. i.e. between μ - 3σ and μ + 3σ
So, we first need to find how many standard deviations away are the given two data points. This can be done by converting them to z-score. A z score tells us that how far is a data value from the mean. The formula to calculate the z-score is:

x = 7.06 converted to z score will be:

x = 7.78 converted to z score will be:

This means the two given values are 1 standard deviation away from the mean and we have to find what percentage of values are within 1 standard deviation of the mean.
From the first listed point of empirical formula, we can say that 68% of the data values lie within 1 standard deviation of the mean. Therefore, 68% of the diameters are between 7.06 cm and 7.78 cm