Answer:
Equation: 1.50x + 10 
34
Amount of rides Dan can go on: 16 rides
Step-by-step explanation:
We can represent this situation using this equation:
1.50x + 10 34
The $10 Dan has to pay as admission is the fixed number because it doesn't vary and always remains the same, so no x goes next to 10.
Each ride costs $1.50 so this is the variable number as it changes with how many rides Dan goes on, therefore an x will go next to 1.50 to represent the amount of rides Dan goes on.
Lastly, Dan has $34 to spare, so the amount spent has to be less than or equal 34.
Solve the equation for x to find the greatest amount of rides Dan can go on:
1.50x + 10 34 Subtract 10 from 34
1.50x 24 Divide 24 by 1.50
x 16
So, Dan has enough money to go on 16 rides or less.
Let's check this answer:
1.50(16) + 10 34 Multiply 1.50 by 16
24 + 10 34 Add 24 and 10
34 34
Hope this helps! Good luck and if you have any questions let me know in the comments!
Answer:
a) the numerator, <em>a</em>, would be a smaller number than the denominator, <em>b.</em>
b) the fraction a/b could be over or under the amount of 1/2.
c) the fraction could be over or under the amount of 1.
Step-by-step explanation:
examples:
a) 2/8
b)3/8 or 6/10
c) 8/9 or 1 1/8
Hope this helps :)
A) For this problem, we will need to use a normal calculation, in that we find the z-score and the area to the right using Table A.
z = (10 - 7.65) / 1.45
z = 1.62
area to the left for a z-score of 1.62 = 0.9474
area to the right for a z-score of 1.62 = 0.0526
The probability that a randomly selected ornament will cost more than $10 is 0.0526 or 5.26%.
B) For this problem, we will use the binomial probability formula since the problem is asking for the probability that exactly 3 ornaments cost over $10. There are two forms of this equation. One is <em>nCr x p^r x q^n-r</em> and the other is <em>(n r) x p^r x (1 - p)^n-r</em>. I will show both formulas below.
8C3 x 0.0526^3 x 0.9474^5
(8 3) x 0.0526^3 x 0.9474^5
With both equations, the answer is the same. Whichever you are more familiar or comfortable with is the one I would recommend you use.
The probability that exactly 3 of the 8 ornaments cost over $10 is 0.00622 or 0.622%.
Hope this helps!! :)
Answer:
Step-by-step explanation:
The position equation is given as
and we are looking for the times when the position of the ball is 9 feet. That means that we simply plug in a 9 for s(t) and factor to solve for t:
and
and this is what we factor to find t:
t = .42 sec and then again on its way back down at t = .89 sec
A...............................
