Answer:
x=16 and y=9
Step-by-step explanation:
2y+30=3y+21[Diagonals of parallelogram are equal]
30-21=3y-2y
y=9
3y=2x-5[Diagonals of parallelogram are equal]
3×9=2x-5
27=2x-5
2x=27+5
x=32/2=16
Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). <em>If the order counts</em>, then we would use the formula for Permutations, which is:

Where n is the number of items you have, and r is the number of times you choose from the items.

Which simplifies to

Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer
2730.
Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:

The variables are still the same, but you are now multiplying by r!.

Simplifies to

Which simplifies to (using the same cancellation method above)

Dividing 2730 by 3! will get us an answer of
455.
Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be
455 or
2730.
:)
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%

At the alternate hypothesis, we test if this percentage is more than 5.8%. So

This means that the correct answer is given by option c.
Answer:
Convex, since none of the angles are greater than 180°
Answer:
A. <em>6.12</em>
Step-by-step explanation:
if you mark up 2.00$ with 240% you get 6.80 $
then, 0.68 is 10% of 6.80%
if you subtract 0.68 your answer will be 6.12$
So your answer is A. 6.12$