Answer:
86 degrees
Step-by-step explanation:
For triangle the sum of angles is equal to 180 degrees
so,
x+(x-35)+43=180
2x -35+43=180
2x = 180-43+35
2x = 172
x = 86
Answer:
Option A
The p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.
Step-by-step explanation:
Normally, in hypothesis testing, the level of statistical significance is often expressed as the so-called p-value. We use p-values to make conclusions in significance testing. More specifically, we compare the p-value to a significance level "α" to make conclusions about our hypotheses.
If the p-value is lower than the significance level we chose, then we reject the null hypotheses H0 in favor of the alternative hypothesis Ha. However, if the p-value is greater than or equal to the significance level, then we fail to reject the null hypothesis H0
though this doesn't mean we accept H0 automatically.
Now, applying this to our question;
The p-value is 0.023 while the significance level is 0.05.
Thus,p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.
The only option that is correct is option A.
Answer:
x = -9
Step-by-step explanation:
-18+24 = -2(x+6) Distribute and simplify
6 = -2x-12 Add 12 to both sides
18 = -2x Divide by -2 on both sides
-9 = x Here's your answer
Hope this helps! :D
Answer:
52.94
Step-by-step explanation:
61.06
-46.92
=52.94
<em>just</em><em> </em><em>subtract</em><em> </em><em>them</em><em> </em><em>like</em><em> </em><em>the</em><em> </em><em>.</em><em> </em><em>isn't</em><em> </em><em>even</em><em> </em><em>there</em><em>.</em>
Answer:
The monopolist's net profit function would be:

Step-by-step explanation:
Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.
Therefore, if the demand curve is given by the function:

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.
Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):
