For this case, the first thing to do is define variables.
We have then:
- <em>x: number of nickels
</em>
- <em>y: number of dimes
</em>
- <em>z: number of quarters
</em>
We write now the system of equations:
Then rewriting the equations we have:
Then, substituting values we have:
Finally:
Answer:
19 nickels
14 dimes
7 quarters
Answer:
(a) v = 1536640/ m^2.
(b) (i) 1186 m/s.
(ii) 52.4g .
Step-by-step explanation:
(a) The equation is v = k / m^2 where k is the constant of variation.
When m = 49, v = 640 so 640 = k / 49^2
k = 640 * 49^2
= 1,536,640.
Therefore the relation is v = 1536640/ m^2.
(b) (i)
When m = 36g, the speed v = 1536640 / 36^2
= 1186 m/s.
(ii) When the speed is 560 m/s :-
560 = 1536640 / m^2
m^2 = 1536640 / 560
= 2744
mass m = √2744
= 52.4g
Median=27
Lower quartile=21
Upper quartile= 36
The results of the 100 rolls with the number cube are such that the probability of rolling a 2 is<u> 32%.</u>
<h3>What is the probability of rolling a 2?</h3>
This refers to the chances that the number cube rolls a 2 when thrown.
This can be found by the formula:
= Number of times 2 was rolled / Total number of times number cube was rolled
Solving gives:
= 32 / 100
= 32%
Find out more on probability at brainly.com/question/25856001.
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