Answer:
after 75 minutes
Step-by-step explanation:
The least common multiple (LCM) of 15 and 25 is 75. It can be found a couple of ways:
1. List the factors of each number and find the product of the unique ones:
15 = 3·5
25 = 5²
The LCM is 3·5² = 75.
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2. Find the greatest common divisor (GCD) and divide the product of the numbers by that value. From the above list of factors, we see that 5 is the GCD of 15 and 25. Then the LCM is ...
15·25/5 = 75
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Or, you can simply list multiples of each number and see what the smallest number is that is in both lists:
15, 30, 45, 60, <em>75</em>, 90
25, 50, <em>75</em>, 100
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The two buses will appear together again after 75 minutes.
Answer:
2.24
Step-by-step explanation:
16.24-14=2.24.
Answer:
a) 
And replacing we got:

b) 
And replacing we got:

c) 
And replacing we got:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that 
If we solve for x from the z score formula we got:

And replacing we got:

Part b
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that 
If we solve for x from the z score formula we got:

And replacing we got:

Part c
Let X the random variable of interest for this case. We define the z score with the following formula:
And for this case we know that 
If we solve for x from the z score formula we got:

And replacing we got:

Answer:
E) 6x - 10 = 4x + 20
Step-by-step explanation:
In this type of picture, the opposite angles are congruent (they equal the same)
So the right equation would be 6x - 10 = 4x + 20, or E
Answer:
yes
Step-by-step explanation: