Answer:
If we define the random variable X ="time spend by the students doign homework"
And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:
Null hypothesis: ![\mu \leq 1](https://tex.z-dn.net/?f=%20%5Cmu%20%5Cleq%201)
Alternative hypothesis: ![\mu >1](https://tex.z-dn.net/?f=%5Cmu%20%3E1%20)
And they wnat to use a sample size of n = 100 and a significance level of 0.05
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
If we define the random variable X ="time spend by the students doign homework"
And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:
Null hypothesis: ![\mu \leq 1](https://tex.z-dn.net/?f=%20%5Cmu%20%5Cleq%201)
Alternative hypothesis: ![\mu >1](https://tex.z-dn.net/?f=%5Cmu%20%3E1%20)
And they wnat to use a sample size of n = 100 and a significance level of 0.05
Answer:
Where is the X supposed to be located
Answer:
∠4 = 61
Step-by-step explanation:
hope this helps
The original function is
f(x)=√x
As this is condition for √x function, x≥ 0
So,
Domain= [0, infinity)
Range= [0, infinity)
After the reflection across x-axis and y-axis, we get a function,
g(x)=-√-x
-x≥ 0 means x≤ 0,
So,
Domain= (-infinity, 0]
Range= (-infinity, 0]
From this you can see that
-The only value that is in the domains of both functions is 0.
-The range of g(x) is all values less than or equal to 0.
only these points are correct and all other points are wrong.
See the attached graphs for both functions.
Answer:
Ratio as a fraction in simplest form is,
Step-by-step explanation:
Ratio defined as the relationship between the quantities of something i.e,
a: b = ![\frac{a}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D)
Given: 51 correct : 9 incorrect
By definition of ratio:
51 correct : 9 incorrect = ![\frac{\text{51 correct}}{\text{9 incorrect}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B51%20correct%7D%7D%7B%5Ctext%7B9%20incorrect%7D%7D)
Divide both numerator and denominator by 3 we get;
![\frac{\text{17 correct}}{\text{3 incorrect}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B17%20correct%7D%7D%7B%5Ctext%7B3%20incorrect%7D%7D)
then
The ratio as a fraction in simplest form is, 17 correct : 3 incorrect or ![\frac{\text{17 correct}}{\text{3 incorrect}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B17%20correct%7D%7D%7B%5Ctext%7B3%20incorrect%7D%7D)