Answer:
37.14
Step-by-step explanation:
you add the tax together then divide it by the 10x4.99. then you get the answer
Answer:
A
Step-by-step explanation:
Using the rule of radicals
×
⇔
and
= i
Given
![\sqrt{-75}](https://tex.z-dn.net/?f=%5Csqrt%7B-75%7D)
= ![\sqrt{25(3)(-1)}](https://tex.z-dn.net/?f=%5Csqrt%7B25%283%29%28-1%29%7D)
=
×
× ![\sqrt{-1}](https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D)
= 5 ×
× i
= 5i
→ A
X+4=-6*7/2
x+4=-21
x=-21-4
x=-25
Answer:
C. quadratic
Step-by-step explanation:
You can rightly guess that ballistic motion is described by a <em>quadratic</em> function.
Differences of the y-values are 5.75, 3.25, 0.75, -1.75, -4.25.
First differences are not constant, but form a linear sequence that decreases by 2.5 between each pair. Since second differences are constant, the function is described by a 2nd-degree polynomial function, a <em>quadratic</em>.
__
<em>Comment on other function types</em>
Linear functions have constant first differences. Exponential functions have exponentially increasing first differences. Logarithmic functions have first differences that increase by smaller and smaller amounts.
Answer:
![P(9.6 < \bar X](https://tex.z-dn.net/?f=%20P%289.6%20%3C%20%5Cbar%20X%20%3C15.6%29%20%3DP%28-0.8%3Cz%3C1.2%29%3D%20P%28Z%3C1.2%29-%20P%28Z%3C-0.8%29)
And using the normal standard distribution or excel we got:
![P(9.6 < \bar X](https://tex.z-dn.net/?f=%20P%289.6%20%3C%20%5Cbar%20X%20%3C15.6%29%20%3DP%28-0.8%3Cz%3C1.2%29%3D%20P%28Z%3C1.2%29-%20P%28Z%3C-0.8%29%3D0.8849-%200.2119%3D0.6731%20)
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the dsitribution for x is normal then we know that the distribution for the sample mean
is given by:
We want to find this probability:
![P(9.6 < \bar X](https://tex.z-dn.net/?f=%20P%289.6%20%3C%20%5Cbar%20X%20%3C15.6%29)
And we can use the z score formula given by;
![z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B%5Cbar%20X%20-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
And if we find the z score for the limits given we got:
![z = \frac{9.6-12}{\frac{6}{\sqrt{4}}}= -0.8](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B9.6-12%7D%7B%5Cfrac%7B6%7D%7B%5Csqrt%7B4%7D%7D%7D%3D%20-0.8)
![z = \frac{15.6-12}{\frac{6}{\sqrt{4}}}= 1.2](https://tex.z-dn.net/?f=%20z%20%3D%20%5Cfrac%7B15.6-12%7D%7B%5Cfrac%7B6%7D%7B%5Csqrt%7B4%7D%7D%7D%3D%201.2)
So we can calculate this probability like this:
![P(9.6 < \bar X](https://tex.z-dn.net/?f=%20P%289.6%20%3C%20%5Cbar%20X%20%3C15.6%29%20%3DP%28-0.8%3Cz%3C1.2%29%3D%20P%28Z%3C1.2%29-%20P%28Z%3C-0.8%29)
And using the normal standard distribution or excel we got:
![P(9.6 < \bar X](https://tex.z-dn.net/?f=%20P%289.6%20%3C%20%5Cbar%20X%20%3C15.6%29%20%3DP%28-0.8%3Cz%3C1.2%29%3D%20P%28Z%3C1.2%29-%20P%28Z%3C-0.8%29%3D0.8849-%200.2119%3D0.6731%20)