Answer:
Step-by-step explanation:
The null hypothesis is usually the default statement. The alternative is the opposite of the null and usually tested against the null hypothesis
In this case study,
The null hypothesis in would be that the mean time between clicks of the second hand on a particular clock is 1 second. In symbolic form it would be u = 1
The alternative hypothesis would be that the mean time between clicks of the second hand on a particular clock is 1 not second. In symbolic form, it would be: u =/ 1
Answer: 68.5°F and 76.5°F
Step-by-step explanation:
Given: The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) .
According to the given absolute inequality equation, where x is the temperature of house
|x – 72.5| = 4
it gives x – 72.5 ≥ -4 and x – 72.5 ≤ 4
⇒ -4 ≤ x – 72.5 ≤ 4
Adding 72.5 on both the sides, we get
⇒ -4+72.5 ≤ x ≤ 4+72.5
⇒68.5 ≤ x ≤ 76.5
Thus the minimum temperature is 68.5° F and the maximum temperature is 76.5° F.
It reflected across line x = 3, y coordinate will remain the same.
Answer: (7, 5)
First we need to find f(2) and f(5), which are 5 and 11 respectively; all you have to do is plug in 2 and 5.
Then, we use the following formula:
(f(b)-f(a))/(b-a),
where b and a are the largest and smallest x values respectively.
Finally, we plug our values in:
(11-5)/(5-2)=6/3=2
In fact, the average rate of change of any linear function is just the coefficient of the x term. Hope this helped!
Given:
students going to the game = 56
students in each van = 7
number of vans used = unknown; x
The number sentence that can be used to find out how many vans are needed to take the students to the game is:
7 * x = 56
x = 56/7
x = 8 vans needed.
