Answer:
12 D. Is the answer
Step-by-step explanation:
The equation we will use is
1
6
+
1
x
=
1
4
. Solve the equation by multiplying each term by the LCM of the denominator, 12x. The equation is now 2x + 12 = 3x. We solve and find x = 12. It will Marcus 12 hours to paint the room alone.
Answer:
576.6
Step-by-step explanation:
Answer:
i think its b
Step-by-step explanation:
Answer:
1) 78.87%
2) 99.7%
Step-by-step explanation:
The z-score for a normal distribution is given by:
1- The given data is:
σ = 4 years
μ = 50 years
For X = 45 and X =55
A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.
Therefore, the percentage of the alligators are between 45 and 55 years old is:
78.87% of alligators.
2- The given data is:
σ = 2 minutes
μ = 17 minutes
For X = 11 and X =23
A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.
Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:
99.7% of people.
Answer:
<em>Answer: a = - 12</em>
Step-by-step explanation:
We have here two equations, one 18x + 12y = 36, the other ax - 8y = - 24;
Now if we were to consider making these two equations have a common y co - efficient, we would multiply the top equation by 2, the bottom consecutively by - 3. This would make a standard 24y ;
2 * ( 18x + 12y = 36 ), ⇒ 36x + 24y = 72
+ - 3 * ( ax - 8y = - 24 ) + - 3ax + 24y = 72
As you can see, all terms are equivalent, besides that of the co - efficient of x. Knowing that, it would be ax must be multiplied by - 3 to receive 36x, as the bottom equation is multiplied by - 3, where all terms are equivalent to the top terms;
- 3 * ax ⇒ 36x, - 3 * - 12x = 36x,
<em>Answer: a = - 12</em>
