To find the distance between two points on a coordinate plane, we can apply the distance formula.
√((2 - 0)² + (3 - 6)²)
√(4 + 9)
√13
<h3>The distance between the two points is √13.</h3>
How much it’s 7 times 6
2 answers:
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Answer:
Here, K represents the current age of Katie and T represents the current age of Thomas.
(a)
As per the statement:
Katie is currently twice the age of Thomas.
⇒ ......[1]
It is also given that in 6 years Katie will be 4 times Thomas's current age.
Subtract 6 from both sides we get;
......[2]
A system of equations that describe the situation is:
(b)
To find the solution:
equate [1] and [2] we have;
Subtract 2T from both sides we have;
Add 6 to both sides we get;
Divide both sides by 2 we have;
T = 3 years
Substitute this in equation [1] we get;
K = 2(3) = 6 years.
Therefore, the current age of Katie and Thomas are 6 years and 3 years.
Answer:
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval. The variance is the same as the mean.
Average rate of 56 calls per hour:
This means that , in which n is the number of hours.
Find the average and standard deviation of the number of service calls in a 15-minute period.
15 minute is one fourth of a hour, which means that . So
The variance is also 14, which means that the standard deviation is
The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.
Answer:
Solution given:
South distance :base[b]=80milea
East distance :perpendicular [p]=35miles
Now
<S=?
we have
=24°
24° bearing should be taken from south airport to East airport.
