a, b, c - sides of a triangle
Therefore:
a + b > c
a + c > b
b + c > a
---------------------------------
We have a = AB, b = 140mi, c = 100mi.
(1) a + b > c
AB + 140 > 100 <em>subtract 140 from both sides</em>
AB > -40 → AB > 0
----------
(2) a + c > b
AB + 100 > 140 <em>subtract 100 from both sides</em>
AB > 40
-----------
(3) b + c > a → a < b + c
AB < 140 + 100
AB < 240
<h3>Answer: 40 < AB < 240</h3>
Answer:
B.
Step-by-step explanation:
You have to use the number in the variable to figure out if the number multiplied by 3.5 goes over 20 dollars. The highest you can go without going over 20 dollars is 5 notebooks
Answer:
A.Reject Upper H0 because the P-value is less than or equal to to α.
B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51%.
Step-by-step explanation:
Given the claim :
Less than 51% will erase their personal information :
We take this as the null ;
H0 < 0.51 ;
Alternative hypothesis which is the opposite of the Null
H1 > 0.51
P value = 0.0148
α = 0.05
At α = 0.05 ; if p value is less than α ; reject the the Null
If p value is greater than Null ; then we fail to reject the Null
Pvalue < α
The P value is less than 0.05; then we reject the Null
B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%
Answer:
Step-by-step explanation:
The equation being shown in the question is the absolute value of x. Absolute values when graphed show up as a V-shaped graph pointing upwards. This is because whatever value is passed as an input will output a positive, regardless of whether the input is positive or negative. Meaning that both 4 and -4 will output 4. That is why the graph is a V-shaped because the outputs repeat for both positive and negative inputs. In this case since the negative is outside the absolute value brackets the positive value given from the absolute value of the input will be turned into a negative. So this will cause the V-shape graph to be reflected across the x-axis. As seen in the attached picture below.
9514 1404 393
Answer:
Step-by-step explanation:
Let 'a' and 'e' represent Alvin's and Elga's ages, respectively.
a = e-12 . . . . . Alvin is 12 years younger
a + e = 86 . . . the sum of their ages is 86
__
Substituting for 'a' gives ...
(e -12) +e = 86
2e = 98
e = 49
a = 49 -12 = 37
Alvin is 37; Elga is 49.
