Factors and Multiples. But they both involve multiplication: Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer (not a fraction).
Answer:
The value of an appropriate test statistic for the car dealer to use is -4.
Step-by-step explanation:
The null hypothesis is:
![H_{0} = 4600](https://tex.z-dn.net/?f=H_%7B0%7D%20%3D%204600)
The alternate hypotesis is:
![H_{1} < 4600](https://tex.z-dn.net/?f=H_%7B1%7D%20%3C%204600)
The test statistic is:
![t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
In this problem:
![X = 4100, \mu = 4600, \sigma = 500, n = 16](https://tex.z-dn.net/?f=X%20%3D%204100%2C%20%5Cmu%20%3D%204600%2C%20%5Csigma%20%3D%20500%2C%20n%20%3D%2016)
Then
![t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![t = \frac{4100 - 4600}{\frac{500}{\sqrt{16}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B4100%20-%204600%7D%7B%5Cfrac%7B500%7D%7B%5Csqrt%7B16%7D%7D%7D)
![t = -4](https://tex.z-dn.net/?f=t%20%3D%20-4)
The value of an appropriate test statistic for the car dealer to use is -4.
Answer:
![y= - \frac{3x}{5} + 6](https://tex.z-dn.net/?f=y%3D%20-%20%5Cfrac%7B3x%7D%7B5%7D%20%20%2B%206)
Step-by-step explanation:
The given linear equation is
![3x + 5y = 30](https://tex.z-dn.net/?f=3x%20%2B%205y%20%3D%2030)
To solve for y, we first subtract 3x from both sides to obtain:
![5y = 30 - 3x](https://tex.z-dn.net/?f=5y%20%3D%2030%20-%203x)
Divide through by 5
![\frac{5y}{5} = \frac{30}{5} - \frac{3x}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5y%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7B30%7D%7B5%7D%20%20-%20%20%5Cfrac%7B3x%7D%7B5%7D%20)
This simplifies to
![y= 6- \frac{3x}{5}](https://tex.z-dn.net/?f=y%3D%206-%20%20%5Cfrac%7B3x%7D%7B5%7D%20)
Or
![y= - \frac{3x}{5} + 6](https://tex.z-dn.net/?f=y%3D%20-%20%5Cfrac%7B3x%7D%7B5%7D%20%20%2B%206)
32 and 64 as the previous term is multiplied by two 2 x2 =4 or 16x 2= 32