40+35 is the answer of the Ixl question
Answer:
1100 - 0.04x
Step-by-step explanation:
0.07x + 0.11(10,000 - x)
0.07x - 0.11x +1100
-0.04x + 1100
The probability of you being the leadoff hitter is <span>8.3%.</span>
Explanation:
The number of possible rosters can be calculated with permutations, knowing that the coach can choose the first hitter among all 12 players, then the second hitter among the 11 players remaining and so on until the 9th hitter among the remaining 4 players.
Therefore:
Possible rosters = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 79833600
The leadoff hitter is the first player in the batting order, therefore the number of possible rosters in which you are chosen as the first one is:
You leadoff = 1 <span>× 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 6652800
The probability of you being leadoff is:
P</span> = You leadoff / <span>Possible rosters
</span> = 6652800 / 79833600
= 1 / 12
= 0.08333
= 8.3%
Note that this is exactly the probability of you being chosen out of the 12 players of the team in a one-pick choice because it does not matter how the rest of the batting order is composed.
Because M is the midpoint of AB, then AM and MB are equal distances. And because a segment can be written as the sum of its pieces, AM + MB = AB.
So,
AM + MB = AB <--- distance of a segment is the sum of its pieces
AM + AM = AB <--- M is the midpoint, so AM = MB
3x + 3 + 3x + 3 = 8x - 6 <--- substituting known amounts that were given
6x + 6 = 8x - 6 <--- collect like terms on the left side
6x = 8x - 12 <--- subtract 6 on both sides
-2x = -12 <--- subtract 8x on both sides
x = 6 <--- divide both sides by -2
Because x = 6, we put it back into AM. 3(6) + 3 = 18 + 3 = 21
Thus, AM is 21 units.
Answer: 0
Step-by-step explanation:
Slope (m) is defined by the formula change in y divided by the change in x. You could denote "change in" using Δ (delta).
The change in y is your final postion along the y-axis, subtracted by your initial position on the y axis.
The change in x is your final position among the x-axis, subtracted by your initial position.
Think of these two sets of coords like two positions. Your final y was 2, and your initial was also 2. Do 2 - 2 to get 0. We dont even need to solve for delta x because 0 divided by anything is zero. Therefore your slope will be 0. That basically means you have a critical point of the function. The tangent line will be completely horizontal along that interval of coords.
