MATHEMATICS HIGH SCHOOL

The histogram shows the duration, in minutes, of movies in theaters. What relationship between the median and mean is shown by the histogram?

The mean is less than the median.
The median is less than the mean.
The mean is equal to the median.
The median and mean cannot be compared from a histogram.

Answers

Answer 1

Answer:

The correct answer is:

The median is less than the mean.

Explanation:

This histogram is skewed right; the data "peaks" further to the left than the center.

If a histogram is skewed right, the mean is greater than the median.

This is because skewed-right data have a few large values that increase the mean but do not affect where the exact middle of the data is.

Answer 2

Answer:

Answer:

Option B) The median is less than the mean.

Step-by-step explanation:

We are given the following in the question:

A histogram showing the duration, in minutes, of movies in theaters.

If we observe the shape of the histogram, more values of the histogram lies on the right side, the tail of the distribution is longer on the right hand side than on the left hand side
Hence, the histogram is skewed right.
The histogram is not normal and shows skewness.
It is a right skewed histogram or positively skewed.
Now, for a positively skewed data the mean is greater than the median since more values lies on right side and have a greater value thus the mean increases.
$\text{Mean} > \text{Median}$
The relationship shown by the histogram between mean and median is that median is less than the mean

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The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.10x3 + 35x2 − 4x − 14 5x2(____) − 2(____) What is the common factor that is missing from both sets of parentheses? −2x − 7 2x + 7 −2x2 + 7 2x2 + 7
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List three different examples of rational numbers

The population of the US at the first census in 1790 was 3,929 people. By 2000 the population had increased to 284,000,000! What is the percent increase in the population?

Answers

Answer:

7,228,202%

Step-by-step explanation:

Population at first census in 1979 was 3929

If the Population had increased to 284,000,000 by 2000, the population increase will be;

284,000,000-3929

= 283,996,071

%increase in population = increment/initial population×100%

= 283,996,071/3929×100%

= 7,228,202%

This means that the population has increased by 7,228,202%

Multiply. Write your answer in simplest form.

5/12 x 4/5

Answers

Multiply across.
Step 1: 5x4=20
Step 2: 12x5=60
Step 3: Reduce or simplify
20/60=1/3

You reduce the fraction by dividing numerator and denominator by 5.
1/12 x 4.Reduce the fraction by dividing numerator and denominator by 4.
1/3 x 1.You multiply the values. 1/3.

Write the polynomial in standard form. Give the degree of the polynomial. Classify the polynomial byits degree.

a. 7x-14x^4 +19x^3 +26x^5-18

Standard form:

degree:

name based on degree:

Answers

Answer:

Sure, I'd be happy to help!

The polynomial you provided is:

7x - 14x^4 + 19x^3 + 26x^5 - 18

To put this polynomial in standard form, we need to factor it. Here's the factored form of the polynomial:

7x(1 - 14x^3 + 19x^2 + 26x^4) - 18

Now, we can see that the degree of the polynomial is 4, so it is a quartic polynomial.

Based on the degree of the polynomial, we can classify it as a quartic polynomial.

Step-by-step explanation:

If f(2)=pi+7 then f^-1(pi+7)=?

Answers

Answer: The required value of $f^('-1)(\pi+7)$ is 2.

Step-by-step explanation: We are given the following value of a function f :

$f(2)=\pi+7.$

We are to find the value of $f^(-1)(\pi+7).$

We know that

For any function g(x) = y,

$g^(-1)(y)=x.$

Applying the above rule in equation (i), we get

$f(2)=\pi+7\n\n\Rightarrow f^(-1)(\pi+7)=2.$

Thus, the required value of $f^('-1)(\pi+7)$ is 2.

Hello,

$f(2)=\pi + 7\n\n 2=f^(-1)\ o\ f(2)=f^(-1) (f(2))=f^(-1)( \pi + 7 })$

Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6, 10, and 15. Is there a direct variation between a triangular number and its position in the sequence?

Answers

As observed in the given triangular numbers, 1, 3, 6, 10, and 15, the first two differ by 2. The second and the third, differ by 3. The third and fourth differ by 4 and the last two differ by 5. From this, it can be concluded that the difference between the triangular numbers from an arithmetic sequence with 2 as the first term and common difference of 1.

No, the triangular numbers are not a direct variation. There is not a constant of variation between a number and its position in the sequence. The ratios of the numbers to their positions are not equal. Also, the points (1, 1), (2, 3), (3, 6), and so on, do not lie on a line.

Several prefixes often used with units of measurement are shown below. each prefix has a specific value in the metric system. what is the correct order of the prefixes, from smallest value to largest value?