<u><em>Answer:</em></u>
0.3
<u><em>Explanation:</em></u>
We are given that:
Probability that a randomly chosen person lives in the East is 0.12
P(East) = 0.12 ..................> I
Probability that a randomly chosen person lives in the West is 0.18
P(West) = 0.18 ............> II
Now, we want to find the probability that the randomly chosen person lives in the East or West
<u>To do this, we will use the following formula:</u>
P(A or B) = P(A) + P(B)
<u>Applying this rule to our givens:</u>
P(East or West) = P(East) + P(West)
P(East or West) = 0.12 + 0.18
P(East or West) = 0.3
Hope this helps :)
So if we’re talking about meters per second, you would need to divide.
-17.5/5 = -3.5
NOW YOU THINK THATS YOUR ANSWER BUT NOO. You CANNOT have a negative second. So you take the absolute value of -3.5 and your answer would be 3.5
The rate of the anchor is 3.5 meters per second.
Answer:
y= -1/3x +5
Step-by-step explanation:
Using the equation y=mx+b
you know <em>m</em> (slope), which is -1/3
you also know your <em>b</em> which is 5
You get y= -1/3x+5
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer:
35 hotdogs
Step-by-step explanation:
You are running a concession stand at a basketball game. You are selling hotdogs and sodas.
Let the number of hot dogs be represented by x
The number of soda be represented by y
You sold a total of 87 hotdogs and sodas combined
x + y = 87
x = 87 - y
Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50.
Hence we have the equation:
$1.50 × x + $0.50 × y = $78.50
1.50x + 0.50y = 78.50
Substitute 87 - y for x
1.50(87 - y) + 0.50y = 78.50
130.5 - 1.50y + 0.50y = 78.50
Collect like terms
- 1.50y + 0.50y = 78.50 - 130.50
-1.00y = -52
y = -52/-1
y = 52 sodas
How many hotdogs did you sell?
Using the equation:
x = 87 - y
x = 87 - 52
x = 35 hotdogs
Hence, you sold 35 hotdogs
