Answer:
The answer is x^2+9x+8
Step-by-step explanation:
You multiply x•x and then x•1 and then x•8 then 1•8 and combine like terms. It’s like a
-8 - 5n = 64 + 3n
+5n +5n add 5n to both sides, 5n's cancel out on the left.
______________
-8 = 64 + 8n
-64 -64 subtract 64 on both sides, 64's cancel out on the right.
______________
-72 = 8n
___ ___ divide 8 on both sides, 8's cancel out from the right.
8 8
n= -9, final answer
Answer:
a) Null and alternative hypothesis:

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as:

Answer:
Below.
Step-by-step explanation:
Finding the hypotenuse:
Recall the formula of Pythagoras'theorem,
- (Hypotenuse)² = (Base)² + (Perpendicular)²
Given that base = 8 and perpendicular = 15
Plugging the values,we obtain
- H² = 8² + (15)²
- H² = 64 + 225
- H² = 289
- H = √(17*17)
- H = 17
Now applying trigonometric functions:
Recall SOHCAHTOA , it's very helpful.
Sin θ = Sin A = Opposite/Hypotenuse
cos θ = cos A = Adjacent/Hypotenuse
Tan θ = tan A = Opposite/Adjacent
Note: The values in decimal are rounded to nearest hundredth.