Answer:
1 7/18
Step-by-step explanation:
5/9 + 5/6 write all numerators above the least common denominator which is 18.
10+15/18 then you add the numerators which will make it 25/18 which alternative form will be 1 7/18, or in decimal 1.38
Answer:
x + 6y + 30 = 0
Step-by-step explanation:
x + 6y = 12
6y = -x + 12
y = -⅙x + 2
Slope: -⅙
y - (-4) = -⅙(x - (-6))
y + 4 = -⅙(x + 6)
-6y - 24 = x + 6
x + 6y + 30 = 0
Answer:
And using the normal standard distirbution or excel we got:
Step-by-step explanation:
Let X the random variable that represent the resistance for resistors of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the z score formula is given by:
Using this formula we got:
And using the normal standard distirbution or excel we got:
X= child ticket
y= adult ticket
COST EQUATION:
$5.90x + $9.70y=$1352.20
QUANTITY EQUATION:
x+y=168
Step 1:
Solve for one variable in either equation and substitute it in the other equation
x+y=168
subtract y from both sided
x=168-y
Step 2:
substitute x=168-y in other equation
5.90x + 9.70y=1352.20
5.90(168-y) +9.70y=1352.20
multiply 5.90 by everything in parentheses
(5.90*168)+(5.90*-y) +9.70y=1352.20
991.20-5.90y+9.70y=1352.20
combine like terms
991.20+3.80y=1352.20
subtract 991.20 from both sides
3.80y=361
divide both sides by 3.80
y=95 adult tickets
There were 95 adult tickets sold.
Hope this helps! :)
Answer:
Tony make 4 half-court shots and misses 16 half-court shots.
Step-by-step explanation:
Given:
Points earned for every successful, half-court shots = 
Points deducted for missing the shots =
or 
Total number of shots in the game = 
Final points earned by Tony = 
According to the question:
Let the number of successful half-court shot be
And the number of shots missed be 
So,
In terms of points we can re-write it as:
⇒ 
⇒ 
⇒ 
⇒ 
⇒
⇒ 
⇒ 
⇒ 
Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16