Answer:
Step-by-step explanation:
Look at the population statistics. Let's say it contains:
- data on the age groups available in the population
- data on the probability that a child in the population has inadequate calcium intake OR data that a child in the population does not have the deficiency. If you're given one of these, the other can be gotten by subtracting the probability value given from 1.
So let's say there are children from ages 5 to 15 in this population and the probability that a child in this population has the deficiency is 0.23 (not all the children in this population of 5-15 year olds may have the deficiency) while the probability that a child in this population does not have the deficiency is [1-0.23] = 0.77
So if you pick a child randomly from the population and he has this deficiency, what is the probability that he or she is between 11 and 13 years old?
From ages 5-15, ages 11, 12 and 13 are 3 ages. The total number of ages is 11 ages.
3÷11 = 0.2727
This is the probability that a child picked or selected at random from the population is 11, 12, or 13 years old.
0.2727 × 0.23 = 0.0627
This is the probability that a child picked at random is BOTH within the age bracket 11 to 13 AND has the deficiency!
Apply this.
Answer:
C. 3a + 6
Step-by-step explanation:
The expression that describes the verbal expression is 3a + 6.
Now let us approach this step wisely;
Triple quantity a = 3a
Increased by 6 = + 6 , an increment is addition to a term.
So, the full algebraic expression is 3a + 6
The solution is 3a + 6. Word problems like this should be approached step wisely.
Answer: (-2, -1)
Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the <em>x</em> and <em>y</em> that is the solution to this system of equations.
The two lines intersect in quadrant III
where <em>x</em> and <em>y</em> are both negative.
When finding the coordinates of a given point,
be very careful with your signs.
Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.
So to find the coordinates for this point, we start at the origin.
Then we move to the left 2 and down 1 so that's (-2, -1).
So the solution to this system is (-2, -1).
Answer:
2
Step-by-step explanation:
Pull out like factors :
2x - 4 = 2 • (x - 2)
(4x + (2 • (x - 5))) - 6 • (x - 2)
(4x + 2 • (x - 5)) - 6 • (x - 2)
Final Answer:
2
If the triangles are similar, then the angles are all congruent.
Therefore, we can start by setting the two middle angles equal to each other.
4x + 7 = 5x - 10
7 = x - 10
x = 17
Middle angle = 75
Now that we know our x-value, we can simply plug in x for our other two expressions.
3 * 17 = 51
4(17) - 14 = 54
We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.
54 + 51 + 75 = 180
180 = 180
Hope this helps!! :)