Answer:
B. False
Step-by-step explanation:
According to pythagorean theorem, for this to be a right triangle, the sum of square of the length of the two legs must equal square of the length of the hypotenuse (longest side).
So 
should equal 
- <em>We also know that
</em>
Hence, 
, and
They ARE NOT EQUAL, so the triangle is NOT a right triangle.
Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Step-by-step explanation:
Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.
Let 
be the population mean .
We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.
i.e. Null hypothesis :
Alternative hypothesis for two tail hypothesis has sign (≠).
i.e. Alternative hypothesis : 
∴ The hypotheses for a two-tailed test of the claimed potassium content:
H0: μ = 140 mg vs. H1: μ ≠ 140 mg
9514 1404 393
Answer:
Step-by-step explanation:
The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.
1 cherry and 7 sweet potato for $114 ⇒ C +7S = 114
14 sweet potato and 11 cherry for $309 ⇒ 11C +14S = 309
Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.
These equations match Option 4.
__
The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:
(11C +14S) -2(C +7S) = (309) -2(114)
9C = 81 . . . . . simplify
C = 9 . . . . . . . divide by 9
The cost of each cherry pie is $9.
3 times 12 then 3 times 20
3 x 12 = 36
3 x 20 = 60
60 + 36 = 96
96 ÷ 8
