Answer:
Step-by-step explanation:
Answer:
x=60
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Subtract 13from both sides of the equation.
x/5=25-13
Subtract 13 from 25.
x/5=12
Multiply both sides of the equation by 5.
5*x/5=5*12
Simplify both sides of the equation.
Cancel the common factor of 5.
x=5*12
Multiply 5 by 12.
x=60
Hope this helped!!
Have a great day!!
Answer:
64
Step-by-step explanation:
If the mean is 15, the sum of 5 numbers is:
Minimum value for the first four numbers would be:
Then the fifth number is:
So the maximum difference is:
Answer:
Step-by-step explanation:
0.19
Answer: 0.9726
Step-by-step explanation:
Given : Females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minutes.
i.e. and
Let x is a random variable to represent the pulse rates.
Formula :
For n= 16 , the probability that her pulse rate is less than 80 beats per minute will be :-
Hence, the required probability = 0.9726
The probability that a randomly selected female's pulse rate is less than 80 beats per minute, given a mean pulse rate of 74.0 and standard deviation of 12.5 beats per minute, is approximately 0.6844, or 68.44%.
This question pertains to the topic of normal distribution in statistics. We know that the average or mean pulse rate for females is 74.0 beats per minute, with a standard deviation of 12.5 beats per minute. We also know that the pulse rate we want to find the probability for is less than 80 beats per minute.
In these situations, we use the formula for the z-score, which is Z = (X - μ) / σ, where X is the value, we're interested in, μ is the mean, and σ is the standard deviation.
Using this formula, we find Z = (80 - 74) / 12.5 = 0.48. After finding the z-score, we can look at the standard normal distribution table to get the probability. The value for Z = 0.48 on the Z table is approximately 0.6844. Therefore, the probability that a randomly selected female's pulse rate is less than 80 beats per minute is approximately 0.6844, or 68.44%.
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Answer:
No
It could be purely due to chance.
Step-by-step explanation:
A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.
So it is not necessary for a population to have the same characteristics as the sample.
But it is essential for the sample to have at least one same characteristics as the population.
So we would not be correct in inferring that such a relationship also exists in the population.
It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.
For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.
It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.
So there is a right triangle.
The tree hight over the distance from the tree is equal to the tangent of the angle.
h / 3 = tan(60)
h / 3 =
h =
To find the height of the tree, we can use trigonometry and the tangent function. The height of the tree is approximately 5.2 meters.
To find the height of the tree, we can use trigonometry. We have a right triangle formed by the tree, the point of measure, and the ground. The distance from the point of measure to the tree is the adjacent side, and the height of the tree is the opposite side. We can use the tangent function to find the height:
tan(60°) = height/3m
height = 3m * tan(60°) = 3m * √3 ≈ 5.2m
Therefore, the height of the tree is approximately 5.2 meters.
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