Answer:
The very last one is a function
Step-by-step explanation:
The last one is a function because there are no y values that repeat. For example, If the points on one graph are like this; (1, 3) (2, 3); then it cannot be a function, the y values cannot repeat if it is a function.
To make things easier, just try to imagine vertical drawing lines through each point in every graph, if this imaginary vertical line passes more than one point in any graph, then that graph is not a function.
I hope this helps!! :D
Answer:
Step-by-step explanation:
The mean SAT score is
, we are going to call it \mu since it's the "true" mean
The standard deviation (we are going to call it
) is
![\sigma=48](https://tex.z-dn.net/?f=%5Csigma%3D48)
Next they draw a random sample of n=70 students, and they got a mean score (denoted by
) of ![\bar x=613](https://tex.z-dn.net/?f=%5Cbar%20x%3D613)
The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.
- So the Null Hypothesis ![H_0:\bar x \geq \mu](https://tex.z-dn.net/?f=H_0%3A%5Cbar%20x%20%5Cgeq%20%5Cmu)
- The alternative would be then the opposite ![H_0:\bar x < \mu](https://tex.z-dn.net/?f=H_0%3A%5Cbar%20x%20%3C%20%5Cmu)
The test statistic for this type of test takes the form
![t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%7C%20%5Cmu%20-%5Cbar%20x%20%7C%7D%20%7B%5Csigma%2F%5Csqrt%7Bn%7D%7D)
and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.
With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.
![t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%7C%20%5Cmu%20-%5Cbar%20x%20%7C%7D%20%7B%5Csigma%2F%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B%7C%20600-613%20%7C%7D%7B48%2F%5Csqrt%2870%7D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B%7C%2013%20%7C%7D%7B48%2F8.367%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B%7C%2013%20%7C%7D%7B5.737%7D%5C%5C%5C%5C%3D2.266%5C%5C)
<h3>since 2.266>1.645 we can reject the null hypothesis.</h3>
210 - ( 30 * x )
**I assume the question asks for total minutes.
Answer: the answer is D
Step-by-step explanation: may i please have brainliest.