If a marble is randomly selected from the box, then the probability
that it is small or green is 0.7297
Step-by-step explanation:
A box contains 19 large marbles and 18 small marbles
Each marble is either green or white
9 of the large marbles are green, and 8 of the small marbles are white
If a marble is randomly selected from the box, we need to find the
probability that it is small or green
1. Find P(small) ⇒ P(s)
2.Find P(green) ⇒ P(g)
3. Find P(small and green) ⇒ P(s and g)
4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)
∵ The box contains 19 large marbles and 18 small marbles
∴ The total number of marbles = 19 + 18 = 37
∴ P(s) = 
∵ There are 8 small white marbles
∵ There are 18 small marbles
∴ The number of small green marbles = 18 - 8 = 10
∴ P(s and g) = 
∵ There are 9 large green marbles
∵ There are 10 small green marbles
∴ The number of green marbles = 9 + 10 = 19
∴ P(g) = 
∵ P(small or green) = P(s) + P(g) - P(s and g)
∴ P(small or green) = 
∴ P(small or green) =
= 0.7297
If a marble is randomly selected from the box, then the probability
that it is small or green is 0.7297
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Answer:
Area = base * height
224 = 16 * height
height = 14
The height is 14 centimeters.
Your answer is c.
To make a box and whisker plot, first you write down all of the numbers from least to greatest.
0, 1, 3, 4, 7, 8, 10
The median is 4, so that’s the middle line of the plot.
So now we have:
0, 1, 3, [4,] 7, 8, 10
So next we have to find the 1st and 3rd interquartiles..
0, [1,] 3, [4,] 7, [8,] 10
Those are the next 2 points you put on the plot.
Lastly, the upper and lower extremes. These are the highest and lowest numbers in the data.
[0,] 1, 3, 4, 7, 8, [10]
These are the final points on the plot.
To make the box of a box-and-whisker plot, you plot the 3 Medians of the data: 1, 4, and 8, and connect those to make a box that has a line in the middle at 4.
Next, you plot the upper and lower extremes: 0 and 10, by making “whiskers” that connect to the box. So you draw a line from the extremes to the box.
Answer:
No. The data in this study were not based on a random method. This is a key requirement for an inference to be made from the two-sample t-test.
Step-by-step explanation:
1. Hayden can use the two-sample t-test (also known as the independent samples t-test)to find out if there was a difference in the time spent in the checkout time between two grocery stores and to conclude whether the difference in the average checkout time between the two stores is really significant or if the difference is due to a random chance. There are three conditions to be met when using the two-sample t-test.
2. The first condition is that the sampling method must be random. This requirement was not met in this study. Each customer from each store should have an equal chance of being selected for the study. This was not achieved.
3. The distributions of the sample data are approximately normal. This is achieved with a large sample size of 30 customers selected for each study.
4. The last but not the least condition is the independence of the sample data. Sample data here is independent for both samples.
Hey there!
First, we see that it's already written in slope intercept, y = mx + b where m is the slope and b is the y intercept, we just need to simplify the like terms on the right. We have:
y = 12x-5x-2
y = 7x - 2
Now that we have it in slope intercept form, whenever we have an x intercept, since it is crossing the x axis, there's no y value. We plug in 0 for y:
0 = 7x - 2
2 = 7x
2/7 = x
The x intercept is (2/7, 0)
Hope this helps!