The mean length (rounded to 2 DP) of these 8 people's index finger is 5.83
<h3>What is the mean length (rounded to 2 DP) of these 8 people's index finger?</h3>
The given parameters are:
<u>Children</u>
Mean = 5.6 cm
Frequency = 5
<u>Adult</u>
Mean = 6.2 cm
Frequency = 3
The mean length of these 8 people's index finger is calculated as:
So, we have
Mean = (5.6 * 5 + 6.2 * 3)/(5 + 3)
Evaluate
Mean = 5.83
Hence, the mean length (rounded to 2 DP) of these 8 people's index finger is 5.83
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Answer:
x = 25
Step-by-step explanation:
Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.
What are vertical angles, you ask?
According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.
For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.
Vertical angles are always congruent.
(This is VERY important to know! It will help you solve many types of geometry problems!)
m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.
Therefore: 3x - 7 = 68.
Now, you can solve for x to get x = 25.
Hope this helps!
Answer:
The distribution of the sample data will approach a normal distribution as the sample size increases.
Step-by-step explanation:
Central limit theorem states that the mean of all samples from the same population will be almost equal to the mean of the population, if the large sample size from a population, is given with a finite level of variance.
So, here Option C is not correct conclusion of central limit theorem -The distribution of the sample data will approach a normal distribution as the sample size increases.
We can say that the average of sample mean tends to be normal but not the sample data.
The total time spent in minutes is 110 minutes
<h3>How to determine the total time?</h3>
The given parameters are:
- Erica = 1 hour, 15 minutes
- Sean = 35 minutes
The total time is calculated as:
Total = Erica + Sean
So, we have:
Total = 1 hour, 15 minutes + 35 minutes
1 hour = 60 minutes
So, we have:
Total = 60 minutes + 15 minutes + 35 minutes
Evaluate the sum
Total = 110 minutes
Hence, the total time spent is 110 minutes
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<span> x+2a=4x
2a = 3x
a = 3x/2
a =1.5x</span>
