it's 96 inches around and 2 inches wide
the probability of the event choosing a yellow marble is 2/9 .
<u>Step-by-step explanation:</u>
Here we have , to choose a marble from a jar. The jar contains 4 red
marbles, 10 blue marbles, 7 green marbles, and 6 yellow marbles. We need to Find the probability of the event choosing a yellow marble . Let's find out:
According to question question we have following parameters as :
Red marbles = 4
Blue marbles =10
Green marbles = 7
Yellow marbles = 6
Now , Probability to chose a yellow marble is :
Favorable outcomes = 6(Number of yellow marbles )
Total outcomes = 4+10+7+6 = 27( Total marbles )
Hence ,
⇒ 
⇒ 
Therefore , the probability of the event choosing a yellow marble is 2/9 .
Answer:
-2
Step-by-step explanation:
Since we are adding 3 to the x-coordinate and subtracting 1 from the y-coordinate, (-5, 2) becomes (-2, 1).
Answer:
The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 35 - 1 = 34
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0322
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 134 - 5.84 = 128.16 calories
The upper end of the interval is the sample mean added to M. So it is 134 + 5.84 = 139.84 calories
The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.
Answer:
Place the compass at one end of line segment.
Adjust the compass to slightly longer than half the line segment length.
Draw arcs above and below the line.
Keeping the same compass width, draw arcs from other end of line.
Place ruler where the arcs cross, and draw the line segment.