Answer:
x = 1/2
y = 3
Step-by-step explanation:
Remark
The diagonals of a parallelogram cut each other in half. That means that x lengths are equal and the y lengths are equal
Equations
3y = y + 6
10x = 6x + 2
Solution for x
10x = 6x + 2 Subtract 6x from both sides
10x - 6x = 6x - 6x + 2
4x = 2 Divide by 4
4x/4 = 2/4
x = 1/2
Solution for y
3y = y + 6
3y - y = y- y + 6
2y = 6
y = 3
The interval of true average price of a regular room with a king size bed in the resort community with 99% confidence is ( 14.74, 48.89 ).
<h3>What is the confidence interval of an average?</h3>
One method of determining the actual population mean is by using a confidence interval for the mean. A confidence interval provides a lower estimate and an upper estimate rather than just the mean.
A confidence interval expresses the degree of uncertainty surrounding a given statistic. A margin of error is frequently used with confidence intervals. It reveals the degree to which you may be certain that the findings of a poll or survey correspond to what you would anticipate discovering if it were possible to poll the complete population. Levels of confidence are inextricably linked to confidence intervals.
x = mean;
99% confidence interval for μ is
(x - t * S) /√n < μ <( x + t * S) /√n;
(135 - 2.898 * 25 )/√18 < μ < (135 + 2.898 * 25)/√18;
14.74< μ< 48.89;
99% CI is ( 14.74, 48.89 ) ;
critical value at 0.01 significance level with 17 df = 2.898
To learn more about confidence interval refer :
brainly.com/question/14825274
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Answer:
90 minutes
Step-by-step explanation:
Given that On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she runs for 40 minutes, this pattern may be presented as an arithmetic sequence shown below
20, 30, 40 ...
For an arithmetic sequence whose first term is a, and a common difference d, the nth term of the sequence may be given as
Tn = a + (n - 1)d
Hence the first term is 20, the common difference d is 10
On the 8th day, the 8th term
T8 = 20 + (8 - 1) 10
= 20 + 70
= 90 minutes
Aloha!
First, add $20 and $20 and $20 and $20 because of the one $20 bill and the two ten dollar bills.
Add the 10 quarters which is 2.50 and add 12 nickles 60 cents or .60 then add 2 pennies.
The answer is $83.12 cents.
Now divide that by 4 which is 20.78
So to answer your question: 20.78 is how much each charity would get.
I hope this helps!:)
72 = 2 * 2* 2 * 3 * 3
82 = 2 * 41
Picking out the common factors we get 2 .
Answer:- GCF = 2