Answer:
A. $1
Step-by-step explanation:
If he played WinOne 100 times, it means that he spent $200. If he won the lottery twice it means that he won $300 in total. We know that the earnings is given by the difference between the money won and the money spent.
Earnings = Won - Spent
Earnings $100.
Now, the net winning per turn is given by the division between the earnings and the number of times played:
Net winning per turn = $100/100 = $1
Therefore, he net winning per turn is $1.
Answer:$58.5
Step-by-step explanation:
4.50 x 13=58.5
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A militia is a local army. During the Battle of Lexington and Concord, the local militia (called minutemen), the militia outnumbered the British at Concord and chased them all the way back to Boston. The militia aided in many American victories during the Revolutionary War.
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Using the t-distribution, it is found that the 95% confidence interval for the population mean rating for Miami is (5.73, 6.95).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:
![\overline{x} \pm t\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
In which:
is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a <u>two-tailed 95% confidence interval</u>, with 50 - 1 = <u>49 df</u>, is t = 2.0096.
Considering the given sample, the other parameters are given as follows:
![\overline{x} = 6.34, s = 2.16, n = 50](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%3D%206.34%2C%20s%20%3D%202.16%2C%20n%20%3D%2050)
Hence, the bounds of the interval are:
![\overline{x} - t\frac{s}{\sqrt{n}} = 6.34 - 2.0096\frac{2.16}{\sqrt{50}} = 5.73](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%206.34%20-%202.0096%5Cfrac%7B2.16%7D%7B%5Csqrt%7B50%7D%7D%20%3D%205.73)
![\overline{x} + t\frac{s}{\sqrt{n}} = 6.34 + 2.0096\frac{2.16}{\sqrt{50}} = 6.95](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%2B%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%206.34%20%2B%202.0096%5Cfrac%7B2.16%7D%7B%5Csqrt%7B50%7D%7D%20%3D%206.95)
More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:
A. P = 4s
B. P = 24 cm
Step-by-step explanation:
Perimeter of a shape is the sum of all the length of sides of the shape.
Let the perimeter of the square be represented by P, and the length of its sides by s.
A. P
s
P = ks
where k is the proportionality constant.
But for a square the length of sides are equal, thus;
P = s + s + s + s
= 4s
So that,
4s = ks
⇒ k = 4
∴ P = 4s
B. Given a square of side length 6 cm, determine its perimeter.
P = 4s
But, s = 6 cm
P = 4 x 6
= 24
P = 24 cm
The perimeter of the given square is 24 cm. And the drawing is herewith attached to this answer for clarifications.