The dry cleaner fee for 3 pairs of pants is 18 doller what is the constant of proportionality
1 answer:
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Answer:
1)
2) 12 inches tall.
Step-by-step explanation:
1) The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case:
(The height of the candle in inches)
(The time in hours)
Then, we can rewrite it:
Based on the information provided in the exercise, the line passes through these points:
and
Then, we can find the slope of the line with the formula :
Now we need to substitute the slope and one of the points into and then solve for "b":
Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:
2) We must substitute into the linear equation
in order to find the height of the candle after burning 8 hours:
Answer:
There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.
P-value=0.12
Step-by-step explanation:
We have to perform a test of hypothesis on the proportion.
The claim is that the proportion of US teens that have some level of hearing loss differs from 20%.
Then, the null and alternative hypothesis are:
The significance level is assumed to be 0.05.
The sample, of size n=1981, has 369 positive cases. Then, the proportion is:
The standard error of the proportion is:
Now, we can calculate the statistic z:
The P-value for this two-tailed test is:
The P-value is below the significance level, so the effect is not significant. The null hypothesis failed to be rejected.
There is no enough evidence to support the claim that the proportion of US teens that have some level of hearing loss differs from 20%.
Input is the same as the x-term and output is the same as the y-term.
For example, take a look at the image provided with thee table.
Looking at the first box of our table, notice that if we subtract 5 from 1, we get -4 and if we subtract 5 from 2 we get -3 and if we subtract 5 from 3, we get -2. Notice that in each case, we're subtracting 5 from the input to get the output.
I attached a table so you can practice if you'd like to. All you have to do is subtract 5 from each input and you will end up with the output. The first few are done for you. I also provided an answer key in the next image so you can check your work.
The last one might be a little trick. In the input, we have n which is a variable that represents any number. If we want to find the nth term, we simply subtract 5. So we have n - 5.
First image is practice if you'd like and the second is the key.
If you don't want to do it, no worries.
