1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
m_a_m_a [10]
3 years ago
14

If the geometric mean of a and 34 is 6 sqrt(17) find the value of a

Mathematics
1 answer:
Alborosie3 years ago
3 0

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n), is given by:

G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

  • Two elements(n = 2), a and 34.
  • G = 6\sqrt{17}

Thus:

\sqrt{34a} = 6\sqrt{17}

We find the square of each side, so:

(\sqrt{34a})^2 = (6\sqrt{17})^2

34a = 36\times17

Simplifying both sides by 17:

2a = 36

a = \frac{36}{2}

a = 18

The value of a is 18.

A similar example is given at brainly.com/question/15010240

You might be interested in
Which of the following is used to determine the significance of predictions made by a best fitting linear equation?A. correlatio
timurjin [86]

Answer:

D. method of least squares

Step-by-step explanation:

The Least Squares Method (LSM) is a mathematical method used to solve various problems, based on minimizing the sum of the squared deviations of some functions from the desired variables. It can be used to “solve”                  over-determined systems of equations (when the number of equations exceeds the number of unknowns), to find a solution in the case of ordinary (not redefined) linear or nonlinear systems of equations, to approximate the point values ​​of a function. OLS is one of the basic regression analysis methods for estimating the unknown parameters of regression models from sample data.

Correlation analysis is a statistical method used to assess the strength of the relationship between two quantitative variables. A high correlation means that two or more variables have a strong relationship with each other, while a weak correlation means that the variables are hardly related. In other words, it is a process of studying the strength of this relationship with available statistics.

Analysis of Variance (or ANOVA) is a collection of statistical models used to analyze group averages and related processes (such as intra- and inter-group variation) in statistical science. When using Variance Analysis, the observed variance of a specified variable is divided into the variance component that can be based on different sources of change. In its simplest form, "Analysis of Variance" is a inferential statistical test to test whether the averages of several groups are equal or not, and this test generalizes the t-test test for two-groups to multiple-groups. If multiple two-sample-t-tests are desired for multivariate analysis, it is clear that this results in increased probability of type I error. Therefore, the variance analysis would be more useful to compare the statistical significance of three or more means (for groups or for variables) with the test.

Regression analysis is an analysis method used to measure the relationship between two or more variables. If analysis is performed using a single variable, it is called univariate regression, and if more than one variable is used, it is called multivariate regression analysis. With the regression analysis, the existence of the relationship between the variables, if there is a relationship between the strength of the information can be obtained. The logic here is that the variable to the left of the equation is affected by the variables to the right. The variables on the right are not affected by other variables. Not being influenced here means that when we put these variables into a linear equation in mathematical sense, it has an effect. Multiple linearity, sequential dependency problems are not meant.

5 0
3 years ago
a box half full of apples weighs 40kg and the same box one fifth full weighs 22kg. what does the box weigh when empty?
likoan [24]
So in order to answer your question  we calculate 40 - 22 wich gives us the answer of 18, so now we can say that 4/5 of apples weight 18 so now 18 / 4 = 4,5; 4,5 * 5 = 22,5 wich is the weight of apples you can put in the box, to know the answer we deduct the greatest weight of apples only from the weight of the box with those apples so, 40 - 22,5 = 17,5
so the answer to your question is 17,5
i hope i helped you
6 0
3 years ago
Answer this world problem for me
inn [45]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

In order to find the answer, we need to do as follows:

Average no. of people per km^2 = total no. of people ÷ total no. of people

Average no. of people per km^2 = 1, 080, 264, 388 ÷ 2, 973, 190

Average no. of people per km^2 = 363.335134317

Now we need to round the answer to the nearest whole number. In this case, we will be rounding down as displayed below:

Average no. of people per km^2 = 363 people

ANSWER:

Therefore, the answer is:

There are an average of 363 people per km^2 of land in India.

Please mark as brainliest if you found this helpful! :)
Thank you <3
7 0
3 years ago
Each ride at the fair costs $2.50. Alex will spend at least $15 for rides. Write an inequality to determine the least number of
goblinko [34]
0<r<6
the least number of ride he can go on is 0 which is none and the most is 6 because 15/2.50=6
4 0
3 years ago
I am completely lost and I need help to understand
garik1379 [7]
I think your answer is gonna be 20 


3 0
3 years ago
Other questions:
  • Express the number in scientific notation. 780,000,000
    7·2 answers
  • PLEASE HELP ME WITH MY MATH
    10·1 answer
  • Find the distance between two points. (1,3)(-2,8)
    15·2 answers
  • Vina has $4.70 in quarters, dimes and nickels in her purse. She has eight more dimes than quarters and six more nickels than qua
    5·1 answer
  • Complete the equation of the graphed linear function. Write the slope in decimal form. y = x + The graph of the function goes th
    7·1 answer
  • What is the value of x
    11·2 answers
  • Whaaaaaaaaaaaaaaaaaaaaaaaaaaaaat
    11·1 answer
  • −5, −6, 0, 6<br><br> Which pair of numbers has a sum of zero
    10·1 answer
  • Determine the cardinal number of the set. M = {g | g ∈ ℤ, g is odd, and |g| <br> ≤ 9}
    5·1 answer
  • What is the slope-intercept form of y+2=1/2(x+6)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!