Answer:
He made 5 2-pointers and 4 3-pointers
Step-by-step explanation:
Let x = number of 2-pointers he scored.
Let y = number of 3 pointers he scored.
The total number of shots he made is x + y, and it it equals 9.
The first equation is
x + y = 9
The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.
The second equation is
2x + 3y = 22
We have a system of 2 equations.
x + y = 9
2x + 3y = 22
We will use the substitution method.
Solve the first equation for x.
x = 9 - y
Now substitute 9 - y in for x in the second equation.
2x + 3y = 22
2(9 - y) + 3y = 22
18 - 2y + 3y = 22
y + 18 = 22
y = 4
Now we substitute 4 for y in the first equation and solve for x.
x + y = 9
x + 4 = 9
x = 5
Answer: He made 5 2-pointers and 4 3-pointers
Check:
5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.
Now we check the number of points.
5 * 2 + 4 * 3 = 10 + 12 = 22
22 points is the correct total.
Our answer is correct.
Answer:
a) "This is an upper-tail test because the company wants to show the stands will hold 525 pounds (or more) easily."
b) "They will decide the stands are safe when they're not."
c) "They will decide the stands are unsafe when they are in fact safe."
Step-by-step explanation:
a) As the alternative hypothesis Ha is μ>575, the rejection region lays in the upper tail. Then, it is an upper-tail test.
They are testing the claim that the stand supports an average of 575 pounds or more, and are looking for statistical evidence for that claim.
"This is an upper-tail test because the company wants to show the stands will hold 525 pounds (or more) easily."
b) A Type I error happens when a true null hypothesis is rejected.
This would mean that a stands that doesn't really hold 575 pounds or more has passed the test. The stand would appear more safe than it is.
"They will decide the stands are safe when they're not."
c) A Type II error happens when a false null hypothesis failed to be rejected. In this case, a safe stand, that suports 575 pounds or more, does not pass the test.
"They will decide the stands are unsafe when they are in fact safe."
3 : 3 times 6 is 18, 2 times 9 is 18 and 3 times 3 is 9 plus 9 is 18
To solve the food one you need to first multiply the pounds of peaches by the amount per pound (1.75 * 18.4) then when you have the total of that, add 2.89 for the price of the pineapple. Once that is complete you should have a total amount for all of the food, next you just divide that number by 4 and you'll have the amount of money each person paid.
As for the other question, to solve it all you need to do is add the total amount of pounds of trash team A has collected for both week 1, 2 and 3, then multiply it by 3 and you'll have your answer.
