Find the product of a number p to the fourth power and the same number to the fifthpower____
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The product of a number p to the fourth power (p⁴) and the same number to the fifth power (p⁵) can be found by multiplying them together.
(p⁴) * (p⁵) = p^(4+5) = p⁹
Therefore, the product of a number p to the fourth power and the same number to the fifth power is p⁹.
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Answer:
So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race
Step-by-step explanation:
Let X the random variable who represent the finishing times.
From the problem we have the mean and the standard deviation for the random variable X.
So then the parameters are
On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:
The probability of obtain values within one deviation from the mean is 0.68, within two deviations we have 0.95 and within 3 deviations from the mean is 0.997
And from this rule we have 99.7 % of the values within 3 deviations from the mean, so we can find the limits like this:
So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race
Final answer:
The middle 99.7% of Tyler's finishing times in the 400 meter race is from 68.5 seconds to 83.5 seconds.
Explanation:
The empirical rule, also known as the 68-95-99.7 rule, states that for data that follows a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
To determine the interval of times that represents the middle 99.7% of Tyler's finishing times, we need to find the range of values that is three standard deviations above and below the mean.
Using the given mean of 76 seconds and standard deviation of 2.5 seconds, we can calculate the interval of times as follows:
Lower Limit: 76 - (3 * 2.5) = 76 - 7.5 = 68.5 seconds
Upper Limit: 76 + (3 * 2.5) = 76 + 7.5 = 83.5 seconds
Therefore, the interval of times that represents the middle 99.7% of Tyler's finishing times is from 68.5 seconds to 83.5 seconds.
Learn more about Empirical rule here:
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Answer:
n=-4
Step-by-step explanation:
-23+7=-16
-16/4=-4
Answer:
-4
Step-by-step explanation:
4n-7=-23 =-7 the oppsite is +7 so that will = 0 and for the other side which is -23 you will add 7 to it to get -16 and then -16 divided by 4 is -4
4n=-16
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Answer:
180°
Step-by-step explanation:
the sum (addition ) of the three angles in a triangle = 180°
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Answer: The required intersection is the line 'VS'.
Step-by-step explanation: We are given to find the intersection of the planes WZVS and plane STUV.
We know that,
If two planes intersect each other, then their intersection is a straight line.
As shown in the given figure, the point 'V' and 'S' lie on both the planes WZVS and STUV.
So, the line joining these two points, i.e., the line VS also lie on both the planes.
Therefore, the intersection of both the planes is the line 'VS'.
Thus, the required intersection is the line 'VS'.