I think it is $30 since it has the highest probability.
Answer:
linear
Step-by-step explanation:
A linear function has a straight line. If you graph this is a straight diagonal line. A linear function has a independent and dependent variable. The independent variable is x, and the dependent variable is y.
Assuming you are referring to the area of a "trapezoid"; in which one calculates the Area, "A", as follows:
________________________
<span> A = 1/2* h(b1+b2) ;
in which: A = Area = 16 (given);
h = height = 4 (given);
b1 = length of one of the two bases = 3 (given);
b2 = length of the other of the two bases = ? (what we want to solve for) ;
______________________________________________________
Using the formula: </span>A = 1/2 h(b1+b2) ;
________________________________
Let us plug in our known values:
___________________________
→ 16 = (1/2) * 4*(3 + b2) ; → Solve for "b2".
________________________________
→Note: On the "right-hand side" on this equation: "(1/2)*(4) = 2 ."
________________________________
So, we can rewrite the equation as:
________________________________
→ 16 = 2*(3 + b2) ; → Solve for "b2".
________________________________
We can divide EACH side of the equation by "2"; to cancel the "2" on the "right-hand side" of the equation:
________________________________
→ 16 / 2 = [2*(3 + b2)] / 2 ; → to get:
___________________________
8 = (3 + b2) ;
_________________
→ Rewrite as: 8 = 3 + b2;
_______________________
Subtract "3" from EACH side of the equation; to isolate "b2" on one side of the equation; and to solve for "b2" :
______________________________
→ 8 - 3 = 3 + b2 - 3 ; → to get:
_____________________
b2 = 5; From the 2 (TWO) answer choices given, this value,
"b2 = 5", corresponds with the following answer choice:
____________________
b2= [16-6]/2= 5 ; as this is the only answer choice that has: "b2 = 5".
<span>_________________________________________
As far getting "</span>b2 = 5" from: "b2= [16-6]/2= 5"; (as mentioned in the answer choice), we need simply to approach the problem in a slightly different manner. Let us do so, as follows:
<span>_____________________________________
Start from: </span>A = 1/2 h(b1+b2); and substitute our known (given) values):<span>
________________________
</span>→ 16 = (1/2) *4 (3 + b2) ; → Solve for "b2".
_____________________________
Note that: (½)*4 = 2; so we can substitute "2" for: "(1/2) *4" ;
and rewrite the equation as follows:
_________________________
→ 16 = 2 (3 + b2) ;
____________________
Note: The distributive property of multiplication:
_________________________
a*(b+c) = ab + ac ;
_________
As such: 2*(3 + b2) = (2*3 + 2*b2) = (6 + 2b2).
_________________
So we can substitute: "(6 + 2b2)" in lieu of "[2*(3 + b2)]"; and can rewrite the equation:
______________________
→ <span>16 = 6 + 2(b2) ; Now, we can subtract "6" from EACH side of the equation; to attempt to isolate "b2" on one side of the equation:</span>
<span>________________________________________________
</span>→ 16 - 6 = 6 + 2(b2) - 6 ;
→ Since "6-6 = 0"; the "6 - 6" on the "right-hand side" of the equation cancel.
→ We now have: 16 - 6 = 2*b2 ;
___________
Now divide EACH SIDE of the equation by "2"; to isolate "b2" on one side of the equation; and to solve for "b2":
____________________
→ (16 - 6) / 2 = (2*b2) / 2 ;
→ (16 - 6) / 2 = b2 ;
→ (10) / 2 = b2 = 5.
______________
NOTE: The other answer choice given:
_____________
"<span>16= 1/2* 4(3+b2)= 6+2b2" is incorrect; since it does not solve for "b2".</span>
Answer:
4 ways of choosing
Step-by-step explanation:
If you want to choose 3 objects, without replacement, from the 4 objects which are distinct, then permutation i.e then their arrangement doesn't really matter. Only their combination will be considered
That means, order of choosing doesn't matter,
pencil/ eraser/ desk will be same as eraser/ desk/ pencil.
Number of ways of selecting 3 objects out of 4 distinct objects is:
⁴C₃ = 
⁴C₃ = 
⁴C₃ = 4
So, there are 4 ways of choosing
Answer:
Its PEQ
Step-by-step explanation:
Because I said so
