Write a recursive rule for the sequence.
-2,0,2,4,6
STEP 1:
a1 = -2
a2 = 0
a3 = 2
STEP 2:
d = a2-(a1)=a3
= d = 0-(-2)=2
STEP 3:
An = a+(n-1)d
ANS:
If you're simplifying the expression, your answer would be 12r - 54s + 18t.
Step-by-step explanation:
Since y is directly proportional to x,
we have y = kx, where k is a real constant.
When x = 15, y = 12.
=> (12) = k(15), k = 0.8.
Therefore we have y = 0.8x.
When x = 2, y = 0.8(2) = 1.6.
The answer is y = 1.6 when x = 2.
Based on the information represented by the boxplot ;
- Latasha's lowest sale amount = 50
- Kayla's median is between 200 and 300
- Latasha has a greater spread due to higher IQR value
1.) <em><u>The Lowest amount of sale made by Latasha in one month </u></em>
- The minimum value is denoted by the starting position of the lower whisker on a boxplot.
- Lowest amount of sale made by Latasha = 50
2.) <em><u>50</u></em><em><u>%</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>sales</u></em><em><u> </u></em><em><u>made</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>Kayla</u></em><em><u> </u></em><em><u>:</u></em>
- 50% of sales made marks the median value in a boxplot, it is denoted by the vertical line in between the box.
- 50% of sales made by Kayla is between 200 and 300
- With median sale value being 250
3.) <em><u>Spread</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>middle</u></em><em><u> </u></em><em><u>50</u></em><em><u>%</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>sales</u></em><em><u> </u></em><em><u>:</u></em>
- The measure of spread of the middle 50% of a distribution on a boxplot is the Interquartile range (IQR) of the distribution
- IQR = Upper Quartile (Q3) - Lower quartile(Q1)
<u>For Latasha</u> :
- Q3 = 450 (Endpoint of the box)
- Q1 = 150 (starting point of the box)
<u>For</u><u> </u><u>Kayla</u><u> </u><u>:</u><u> </u>
- Q3 = 375 (Endpoint of the box)
- Q1 = 100 (starting point of the box)
- IQR = 375 - 100 = 275
- Since, Latasha's IQR is greater than Kayla's, then Latasha has a greater mid 50% spread than Kayla.
Learn more :brainly.com/question/24582786
1) Experimental probability of drawing a Club = 9 / 40
The experimental probability is the probability of the event occurring in the experiment. You use your results to find the experimental probability. This is over the total amount of trials. In this experiment, 9 clubs were drawn. Thus, the experimental probability of drawing a club is 9 / 40.
2) Relative frequency of drawing a Spade = 1 / 5
Relative frequency is the same as experimental probability. You use your results and set the experiment number over the total number of trials. Thus, the relative frequency of drawing a Spade is 8 / 40, or 1 / 5.
3) Theoretical probability of drawing a Heart = 1 / 4
The theoretical probability is the expected probability. There are 13 hearts out of a full deck of 52 cards. Thus, the theoretical probability of drawing a heart is 13 / 52 or 1 / 4.
4) Theoretical probability of drawing a Club or Diamond = 1 / 2
The theoretical probability is the probability that is expected. In this scenario, it will be the number of clubs plus the number of diamonds in a deck of cards over the total number of cards in a full deck. And, or means that either probability could occur and we should add. Thus, the theoretical probability of drawing a club or diamond is 26 / 52 or 1 / 2.
5) The difference between experimental and theoretical probability is that experimental probability is the probability of an event occurring based on your experiment and results. The theoretical probability is the expected probability of an event occurring. It is not based on your experiment, and in a completely fair experiment, would be the probability of an event occurring. For example, flipping a coin. The theoretical probability of getting heads when you flip a coin is 0.5. But say in your experiment of 50 trials you get heads 15 times. The experimental probability would be 15 / 50.
Hope this helps!! :)
