The ages of the teachers at a school are given in the table.

Find the median age of the teachers.
Teachers’ Ages
26
34
29
40
38
48
36
25
52
32

Answer:

Basically, you have to understand the logic of a function.

If I plug in a value into V that represents the value of a milling machine, if I simplify the equation, I will be able to find x, the corresponding time to the value of the milling machine.

Knowing this logic, we can plug in $450,000 and $480,000, and then we will have two x-values. Then we can just find the range of the x-values to find our answer! :)

Let's go.

V = 750,000 - 120x

Plugged in 450,000 for V so now we can simplify the equation and find out what is the corresponding x-value for this value at this certain time.

450,000 = 750,000 - 120x

-450,000  -450,000

0 = 750,000 - 120x

+120x on both sides to isolate x

120x = 300,000

x = 2500

So, our first x-value in the range is 6250 hours. Now, let's plug in the larger value to find out the other x-value in the range.

V = 750,000 - 120x

480,000 = 750,000 - 120x

-480,000  -480,000

0 =  270,000 - 120x

Add 120x on both sides to isolate x

120x = 270,000

x = 2250

So, we found 2250 and 2500. So, the range of hours it corresponds to is 2250-2500.

Answer:

Note that both relations and functions have domains and ranges. The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Using the mean concept, it is found that the simulated average time to cross town is of 0.445.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, the 10 values of the simulation are given by:

0.21 0.53 0.05 0.89 0.15 0.73 0.06 0.28 0.81 0.74

Hence, the mean is given by:

M = (0.21 + 0.53 + 0.05 + 0.89 + 0.15 + 0.73 + 0.06 + 0.28 + 0.81 + 0.74)/10 = 0.445.

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Answer:

6 liters

Step-by-step explanation:

Given:

The 9 litre of 50% acidic liquid.

Required:

What quantity of water should be added to reduce 9 liters of 50% acidic liquid to 30% acidic liquid ?

Explanation:

The solution steps are:

Acidic liquid in 9 liters lotion = (50/100) * 9 = 4.5 liters

Then water = 9 - 4.5 = 4.5 liters

Let 'x' liters be the required quantity of water.

Then :-

\(\frac{4.5}{9+x} = \frac{30}{100} = \frac{3}{10}\)

That leads to :-

\(3(9+x) = 45 == > 3x = 18\)

Which gives us :-

\(x=6\)

Thus required quantity of water = 6 liters

Final answer:

6 liters

(Hi fyi this answer took a lot of time & effort to make sure it was accurate, precise and to the point to be produced, so if you could opt this answer as the brainliest it would mean the world to me,)

Stay positive and Take care,

A fellow mate,

Cheers !

Opposite of an integer on the number line is the same integer with opposite sign

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

The number line's opposite of the integer "a" is "-a"; hence, the opposite of the integer "-a" is "a" on the number line, but on the other side of 0.

For example,

The number line's opposite of the integer "4" is "-4"

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Trinomials that are perfect square trinomials are (C)  \(16z^{4}+48z^{2}+36\) and (D) \(9m^{2}+36m+36\).

\((a+b)^{2}=a^{2}+2ab+b^{2}\)

We will check every trinomials in given options.

(A) \(25a^{2}-40a+64\)

     \(25a^{2} = (5a)^{2}\)

     \(64 = 8^{2}\)

     \(-40a \neq 2(5a)(8)\)

     Hence, its not a perfect square.

(B) \(x^{2}-6x-16\)

     \(x^{2} = (x)^{2}\)

     \(-16 \neq 4^{2}\)

     \(-6x \neq 2(x)(4)\)

     Hence, its not a perfect square.

(C) \(16z^{4}+48z^{2} +36\)

     \(16z^{4} = (4z^{2} )^{2}\)

     \(36 = 6^{2}\)

     \(48z^{2}=2(4z^{2} )(6)\)

    \(16z^{4}+48z^{2} +36 = (4z^{2}+6 )^{2}\)

     Hence, its a perfect square.

(D) \(9m^{2}+36m+36\)

     \(9m^{2} = (3m)^{2}\)

     \(36 = 6^{2}\)

     \(36m=2(3m)(6)\)

    \(9m^{2}+36m+36 = (3m+6)^{2}\)

     Hence, its a perfect square.

Therefore, only (C) and (D) are perfect square.

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Answer

There are C(20, 5) = 15504 ways to select 5 extras out of a group of 20 people

Step-by-step explanation

A combination is a grouping of outcomes in which the order does not matter (A and then B is the same pair as B and then A).

The number of combinations of n things chosen k at a time is found using:

In this case, the director has to select k = 5 extras out of a group of n = 20 people, that is,

The mean, median, range, and standard deviation  for the new data set must all be 7 greater than for the original data set.

The mean is the sum of all the values divided by the number of values. Adding the number 6 to the original data set of 30 positive integers increases the sum of all the values by 6, which means the mean for the new data set must be 7 greater than the mean for the original data set.

The formula for the mean is: Mean = (Sum of Values)/(Number of Values)

For the original data set: Mean = (Sum of Values)/30

For the new data set: Mean = (Sum of Values + 6)/31

Therefore, the mean for the new data set must be 7 greater than the mean for the original data set.

The median is the middle value in a set of data. Adding the number 6 to the original data set of 30 positive integers increases the total number of values to 31, which means the median is calculated differently for the new data set than the original data set. The median for the new data set must be 7 greater than the median for the original data set.

The formula for the median is: Median = (n+1)/2

For the original data set: Median = (30+1)/2 = 15.5

For the new data set: Median = (31+1)/2 = 16.5

Therefore, the median for the new data set must be 7 greater than the median for the original data set.

The range is calculated by subtracting the smallest value from the largest value in a data set. Adding the number 6 to the original data set of 30 positive integers increases the largest value by 6, which means the range for the new data set must be 7 greater than the range for the original data set.

The formula for the range is: Range = (Largest Value) - (Smallest Value)

For the original data set: Range = (Largest Value) - 13

For the new data set: Range = (Largest Value + 6) - 13

Therefore, the range for the new data set must be 7 greater than the range for the original data set.

The standard deviation is a measure of how spread out the values in a data set are. Adding the number 6 to the original data set of 30 positive integers increases the total number of values by 1, which means the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The formula for the standard deviation is: Standard Deviation = √ (Sum of (Values - Mean)2 / Number of Values)

For the original data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 30)

For the new data set: Standard Deviation = √ (Sum of (Values - Mean)2 / 31)

Therefore, the standard deviation for the new data set must be 7 greater than the standard deviation for the original data set.

The mean, median, range, and standard deviation for the new data set must all be 7 greater than for the original data set

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Answer:

No, too many dots to the left of 0.5

And the average proportion is about 0.39, close to 0.4

Step-by-step explanation:

There are way more dots to the left of 0.5 than there are to the right of 0.5

And there are nowhere near enough dots right on 0.5 to make up for that.

So we can tell just from looking that these dots don't average out to 0.5

If you actually count the dots  and add up the values of all the dots:

1 x 0.1        =           0.1

3 x 0.2      =           0.6

9 x 0.3       =          2.7

8 x 0.4       =          3.2

6 x 0.5       =          3.0

2 x 0.6       =          1.2

1 x 0.7        =         0.7

30 proportions      11.5   Total of All Proportions

11.5/30 = 0.38333333... , a lot closer to 0.4 than to 0.5

Answer: 1.6

Step-by-step explanation:

each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces

Answer:

shown below

Step-by-step explanation:

golf balls per ounce = 5/8 or 0.625

ounces per gold ball = 8/5 or 1.6

Answer:

y=2/3x+1

Step-by-step explanation:

The slope is 2/3 and the y-intercept is 1.

Answer:

\(M = (0,0)\)

Step-by-step explanation:

Given

\((4,-5)\) and \((-4,5)\)

Required

The midpoint (M)

This is calculated as:

\(M = \frac{1}{2}(x_1 + x_2,y_1+y_2)\)

So, we have:

\(M = \frac{1}{2}(4-4,-5+5)\)

\(M = \frac{1}{2}(0,0)\)

\(M = (0,0)\)

Answer:

The value is 20.

Step-by-step explanation:

To solve this equation, you must use the method of PEMDAS.  In this order, you should multiply 8 by 2 first to get 16 for the first part of your answer.  Your equation should now be 7 + 16 - 6 + 3.  You can now solve this equation from left to right manually.  Add 16 from 7 to get 23, subtract 6 from that number to get 17 and add 3 to get your final answer which is 20.

Answer:

27 :)

Step-by-step explanation:

7+8=15

15x2=30

30-6=24

24+3=27

In factories, coal mines and other workplaces, people worked long hours in miserable conditions. As countries industrialized, factories became larger and produced more goods. Earlier forms of work and ways of life began to disappear. ... Once factories were built, most men no longer worked at home.Jan 27, 2020

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Answer:

C

Step-by-step explanation:

If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.

Subtracting Turkey (12) from Ham (9) your answer is C, or 3.

Check the picture below.

Answer:

8 inches

Solution:

First, you need to add all sides which will give you 147. Then, to find the length of GA, you need to subtract the perimeter which is 167, by 147 which will give you 20. GA = 20

Thus to find G'A', you need to cross multiply 14/35 = G'A'/20

You should end up with 280 = 35. Divide 35 by 280 and you get 8.

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Answer:

2+2=4-1+3

Step-by-step explanation:

quick mafs

200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.

The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.

The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.

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Answer:

No the relation is not a function

Step-by-step explanation:

This is because there are 2 x factors that have the value of 15. (15,8) and (15,2)

in order to make this a function you would have to change the one of the x factor of the 2 ratios:

(15,8) and (15,2)

Answer:

151 cupcakes

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

I think

Step-by-step explanation:

For the what value of C is the function f(x) = when?

c. x= -2

3. x= 1

x^2 -4 /(x+2)(x-3) otherwise

continuous at x= -2 ?

On solving the question - Use the z distribution if the population variances are known; if not, use the -tdf distribution.

A measure of the distribution of a set of data points is called population variance. It measures the mean squared departure from the mean, specifically. As a result, the variance will be minimal if all of the data points are very near to the mean. The variation will be high if the data points are dispersed throughout a wide range.

The difference between the mean and the mean squared is known as the variance, and the standard deviation is the square root of that difference. Although in different units, both measurements capture the distribution's variability. The same units are used to express standard deviation and the original value.

Use the z distribution if the population variances are known; if not, use the -tdf distribution.

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Answer:

-> 1.1a-3.5b

Step-by-step explanation:

-> 5.2a - 3.5b - 4.1a

-> Group like terms

= 5.2a-4.1a-3.5b

-> add similar elemets

= 1.1a- 3.5b

Answer:

17,060$

Step-by-step explanation:

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Answer:

p= 9

Step-by-step explanation:

you can rewrite the equation as 7p = 63 if that makes more sense for you

then divide both sides by 7

you get 9

Answer:

There is no graph attached.

Step-by-step explanation:

Check the question again.