1) What is the mathematical relationship between a^n and a^-n ? Explain
2) A positive exponent shows repeated multiplication . What repeated operation does a negative exponent show ?
I really need your help ! Thanks
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make sense?
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If f(x)= -1x2+3, find f(1)Someone help me, I'm so confused ;-;
the perimeter of a basketball court is 102 meters, and length is 6 meters longer than twice the width, what r length and width. what is width _m.
PLEASE DON'T IGNORE!What is the degree of the polynomial (z^5)(y^3) + y^2 + 7y?A. 2 B. 3 C. 5 D. 8
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Final answer:
In solving the question, we establish two equations based on the condition provided, including the ratios among men, women, and children. Solving the equation, we find out that there were 270 people at the concert.
Explanation:
This question relates to the mathematical concept of ratio and proportion as well as fraction.
According to the question, 2/5 of the attendees at the concert were men and men outnumbered children by 45. First, let's make the number of children, x. So, the number of men will be x + 45. Because 2/5 of the total attendees were men, set up the equation: 2/5 * Total = x + 45.
There were 3 times as many women as children, thus the number of women will be 3x. So, the total number of people in the concert is the sum of the men, women, and children, which is (x + 45) + 3x + x. Simplifying this, we get 5x + 45 = Total. Therefore, if we substitute (x + 45) for 2/5 of the total in our original equation, we have 2/5 * (5x + 45) = x + 45. Solving this equation, we get x = 45.
So, if we substitute x=45 into our total equation, we get Total = 5(45) + 45 = 270. Therefore, there were 270 people at the concert.
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This involves creating some equations.
First, these are what the letters I used stand for:
c = children
w = women
m = men
x = total population
Then, we must make an equation for each statement.
2/5x = m (2/5 of the people are men)
3c = w (there are 3 times as many women than children)
45+c = m (there are 45 more men than children)
Now, let's start plugging in our numbers:
x = all the men, women, and children
2/5(m+w+c) = m
2/5 (45+c +3c + c) = m [Now simplify]
2/5 (45 + 5x) = m [Now Distribute]
2/5(45) + (2/5)(5x) = m
2c + 18 = m [Above we stated that there were the same amount as men as c +45]
2c + 18 = 45 +c [Now set equal to c]
2c (-c) +18 = 45 +c (-c)
c+18 (-18) = 45 (-18)
c = 27
Now that we know that there was 27 children, we can plug 27 in for c in the other equations.
MEN = 27 + 45
WOMEN = 3(27)
CHILDREN = 27
Now add those three answers to find your total!
The graph of g(x) is the graph of f(x) translated 4 units right.
The graph of g(x) is the graph of f(x) translated 4 units up.
The graph of g(x) is the graph of f(x) translated 4 units left.
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Remember:
if we have the graph of a function f(x); then :
f(x)+b ; is the graph f(x) translated b units up
f(x)-b; is the graph f(x) translated b units down.
f(x+b); is the graph f(x) translated b units left.
f(x-b); is the graph f(x) translated b units right.
In this case:
g(x)=f(x)-b
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b. The range is larger than the interquartile range.
c. The mean is much larger than the median.
d. The mean is much smaller than the median.
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Answer: c. The mean is much larger than the median
Step-by-step explanation:
A dataset is skewed to the right when the peak of the dataset is located in the left( left of the mean), and it has a long right tail. It is also call positive skewed distribution. One of the characteristics of right skewed dataset is that the mean of the dataset is always greater/larger than the median and mode.
Therefore, for the case above if the mean is much larger than the median, it indicates that the dataset is skewed to the right.
A dataset is skewed to the right when the mean is much larger than the median. Therefore, the correct answer is option c.
When a dataset is skewed to the right, it means that the distribution of data is not symmetric, and it is stretched out more towards the higher values (right side) than the lower values (left side). This can be due to the presence of outliers or a natural characteristic of the data.
Now, let's look at why option "c" indicates right skewness:
c. The mean is much larger than the median.
The mean is the arithmetic average of all the values in the dataset, while the median is the middle value when the data is arranged in order. When a dataset is positively skewed (skewed to the right), it means that there are some significantly larger values in the right tail of the distribution that pull the mean to the right (towards higher values).
In this situation:
The mean gets pulled toward the larger values because the larger values have a greater impact on the mean due to their magnitude.
The median remains closer to the bulk of the data because it is not affected by extreme values as much as the mean.
So, when the mean is much larger than the median, it is an indication that there are significant outliers or a longer right tail in the dataset, which is a characteristic of a right-skewed distribution.
Therefore, the correct answer is option c.
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Answers
Answer: 2r-12
Step-by-step explanation:
(4r+10)+____=(6r-2)
_____=(6r-2)-(4r+10)
_____=6r-2-4r-10
_____=2r-12