Answer:
e = 2
Step-by-step explanation:
7(2e - 1) - 3 = 6 + 6e
14e - 7 - 3 = 6 + 6e
14e - 10 = 6 + 6e
14e - 6e - 10 = 6
8e - 10 = 6
8e = 6 + 10
8e = 16
8e/8 = 16/8
e = 2
Recheck:
7(2e - 1) - 3 = 6 + 6e
7(2(2) - 1) - 3 = 6 + 6(2)
7(4 - 1) - 3 = 6 + 12
7(3) - 3 = 18
21 - 3 = 18
18 = 18 ✅
A. AD||BC for Triangle ABD congruent to Triangle CDB by AAS congruency
Answer:
A) Mean = 1.0295
Median = 1.006
B) the largest sample Observation can be reduced to 1.3735
Step-by-step explanation:
A) I) The mean Value is the addition of all the values, then dividing by the number of values occured.
0.736 + 0.863 + 0.865 + 0.913 + 0.915 + 0.937 + 0.983 + 1.001 + 1.011 + 1.064 + 1.109 + 1.132 + 1.140 + 1.153 + 1.253 + 1.397 = 16.472
16.472 ÷ 16 = 1.0295
1.0295 is the mean value
II) The median value is the value at the center of the point. We have two values at the middle point.
(1.001 + 1.011) ÷ 2 = 1.006
1.006 is the median value.
Therefore the mean value which shows the actual middle value of the numbers if the numbers where evenly distributed is greater than the median value which show middle value of the numbers in the result.
The difference between them is
1.0295 - 1.006 = 0.0235
B) The largest sample Observation is 1.397. it can be decrease by subtracting the difference between the mean and median from the number.
Wherefore; the difference between mean and median is 0.0235
Therefore;
1.397 - 0.0235 = 1.3735
If the largest sample Observation is reduced to 1.3735, the median value will not be affected.
Using it's concept, it is found that there is a 0.79 = 79% probability that he or she is content with the vacation allowance.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, 500 - 105 = 395 out of 500 employees are content with the vacation allowance, hence:
p = 395/500 = 0.79.
There is a 0.79 = 79% probability that he or she is content with the vacation allowance.
More can be learned about probabilities at brainly.com/question/14398287
Answer:
Equation: 125 x 2 = x
250 ribbons
Step-by-step explanation:
We have to find the total number of ribbons used. Since Nell sold 125 packages of cookies and each package has 2 ribbons, we can make the equation 125 x 2 = x. Let x = the number of ribbons used in total. We multiply them to get 250. Therefore, 250 ribbons were used.
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