The speed obtained is the y-component of the actual speed of the car. The y-component and actual speed are related by:
Vy = Vsin(∅)
100 = Vsin(45)
V = 141.4 km/h
Firstly, we have to find the mean. The mean is simply the average of the numbers, which we find by adding each number in the sequence and then dividing that result by the total amount of numbers.
<em>13.3 + 14.3 + 15.3 + 16.3 + 17.3 = 76.5</em>
<em>76.5 / 5 = 15.3
</em>Okay, so our average is 15.3.
<em>
Now, </em>we have to subtract the mean from each number and then square the result.
<em>(13.3 - 15.3)^2 = 4</em>
<em>(14.3 - 15.3)^2 = 1</em>
<em>(15.3 - 15.3)^2 = 0</em>
<em>(16.3 - 15.3)^2 = 1</em>
<em>(17.3 - 15.3)^2 = 4
</em>Now we have to find the mean of those numbers!
<em>
4 + 1 + 0 + 1 + 4 = 10
10 / 2 = 2
</em>Finally, we take the square root of that number and we have our standard deviation. =)<em>
</em>
The probability of drawing only one red card in two draws without replacement is given by:

The probability of drawing two red cards in two draws without replacement isgiven by:

The events 'draw one red card' and 'draw two red cards' are mutually exclusive. Therefore the probability of drawing at least one red card is 0.51 + 0.245 = 0.755.
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:

Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!
Answer:
A) x² + 7x - 9
Step-by-step explanation:
Deduct\Add each like-term to arrive at your answer.