Answer:
37.25
Step-by-step explanation:
6.75+7.25+8.25+7.25+7.75=37.25
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The multiply choice were worth 4 points.
Gretchen= 18x+19
Ezia= 15x+31
So basically you can enter any number. At first I picked 3 and then I did the math and I got 73 points for Gretchen and 76 points for Ezia.
Then I pick four and then I got 91 points for them both. This is how I got the answer:
18x+19=15x+31
18(4)+19=15(4)+31
72+19=60+31
91=91
Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get

The
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>
The answer is ( x - 3 ) ( x - 5)
Answer:
10.21 feet.
Step-by-step explanation:
circumference of circle with diameter d is given by 
where r is the radius of the circle.
_____________________________
given
diameter = 6 1/2 = 13/2 feet
\thus, circumference of circle is calculated as following

Thus, circumference of given circle is 10.21 feet.