The number of tickets that should be purchased for the cost of both carnival to be equal is 10 tickets.
Assume the number of tickets to be purchased is x.
The expression for the total cost at Carnival M is:
= Entrance fee + (price of tickets x number of tickets)
= 5 + 0.50x
The expression for the total cost at Carnival P is:
= 7 + 0.30x
To find the number of tickers, equate both expressions:
5 + 0.50x = 7 + 0.30x
0.50x - 0.30x = 7 - 5
0.20x = 2
x = 2 / 0.20
= 10 tickets
10 tickets will need to be bought to both Carnivals for the cost to be the same.
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Answer:
Time, t = 2 seconds
Step-by-step explanation:
The height of a flare fired from a 32-foot high platform can be modeled by the function :
Here, h is the height in feet above the ground and t is the time in seconds.
It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,
h = 0
Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.
first box - $2.90 per pound
second- $2.50 per pound
third- $2.98 per pound
fourth- $2.00 per pound
Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
The length of the cable is approximately 32 feet
Answer:
15, 8, 66%, 40
Step-by-step explanation:
Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.
In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.
<em>question a)</em>
50 dollars or less, so the area of 50 dollars and below that.
from the chart we can see that this lines up to around 15 people.
<em>question b)</em>
now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)
<em>we know if you didn't spend 100 dollars or less, you must have spent more than that. </em>
so take 50-42=8
around 8<u> people</u> spent 100 dollars or more.
<em>question c)</em>
basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.
33/50 = 0.66
around 66%
<em>question d)</em>
80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.
50 times 0.8 = 40
40 people
now just plot that on the graph (sorry i did it wrong in the image)