If 60% of a numbet is 18,what is 89% of the number

Answers

Answer 1
Answer: what is this number?

if 60%x=18

then

(60)/(100)x=18

(6)/(10)x=18
(3)/(5)x=18
3x=18*5
x=6*5
x=30

and 89% of it:
(89)/(100)*30=(89)/(10)*3=26.7 which is the answer





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Given f(x)=-3x+8, find f^-1(x) then state wheter F^-1 (x) is a function

Answers

Answer:

f⁻¹(x) = (8-x)/3 and it is a Function.

Step-by-step explanation:

Given is f(x) = -3x+8

Suppose y = f(x), then y = -3x + 8

Solving for x:-

-3x + 8 = y

-3x = y - 8

3x = 8 - y

x = (8-y)/3

Now interchanging x and y:-

y = (8-x)/3

Here, y is inverse function i.e. f⁻¹(x)

Hence, f⁻¹(x) = (8-x)/3

Since f⁻¹(x) is a linear expression of x, therefore it is a function.

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below are the weights in pounds of 1111 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that​ sport's league? 186 229 240 257 187 221 309 293 257 274 221

Answers

Answer:

(a) Mean =243.0909

(b) Median = 240

In other words it is the middle value of the data arranged in order.

(c) Mode =  221  and 257

(d) Mid Range =   247.5

e)

Variance = 1578.5037

Standard Deviation = 39.730

Range = 309-186= 123

(e)  No the results are not  likely to be representative of all players in that​ sport's league because they are not similar.

Step-by-step explanation:

First arranging the data in ascending order

186 187 221 221 229 240 257 257  274  293    309

(a) Mean = Sum of observations/ No of observations

       = 186 + 187 + 221 +221 + 229 + 240 + 257 + 257 + 274 + 293 + 309 /11

= 2674/11=

= 243.0909

(b) Median for un grouped data is

Here n = 11 and n/2 = 11/2 is not an integer

Median = Results obtained by ([n/2] +1) player

                   = (11/2 +1) = 6th player in ordered data

                = 240

In other words it is the middle value of the data arranged in order.

(c) Mode = Most frequent values.

There are two modes : 221  and 257 . These both values occur repeatedly.

(d) Mid Range = Maximum Value + minimum value/ 2= 186+ 309/2=  247.5

Now we will find the variance and standard deviation

The variance is given by

s² =  (186-243.0909)²+ (187-243.0909)²+ (221-243.0909)²+ (221 -243.0909)²+(229-243.0909)²+ (240-243.0909)²+( 257-243.0909)²+ (257 -243.0909)²+ (274-243.0909)²+ ( 293-243.0909)²+    (309 -243.0909)²/11-1

s²=  3259.370 + 3146.139+ 488.008+ 488.008+ 198.553+ 9.554+ 193.463 + 193.463 + 955.372 +  2509.098 + 4344.009/10

s²= 15,785.037/10= 1578.5037

And Standard Deviation = s= √1578.5037= 39.730

Variance = 1578.5037

Standard Deviation = 39.730

Range = 309-186= 123

(e)  No the results are not  likely to be representative of all players in that​ sport's league because they are not similar.

What does the line x= 2 look like?

Answers

X = 2 means for whatever y value you select the x value will be 2. So if you graph a couple of coordinates it becomes quickly evident that x = 2 is a vertical line that crosses the x axis at 2.
x = 2

This would show a vertical line crossing the x axis at 2. 

Since y = 0, there is no y intercept, which means it does not cross the y axis. 


Use the form y=mx +b for linear equations. Write the equation for the following relation. A = {(x, y): (1, 2), (2, 5), (3, 8), . . .}

Answers

Write the matrix form of the function and solve:

\left|\begin{array}{ccc}x&y&1\n1&2&1\n2&5&1\end{array}\right|=0\n \n 2x+2y+5-4-y-5x=0\n \n -3x+1+y=0\n \n \boxed{y=3x-1}

#1 - 3, 1, 2

#2 - x+2y=4

#3 - y=3x-1

What is the answer to 8x+2(y+13)=10

Answers

If you were trying to convert it to the standard form equation of a line

Ax + By - C = 0
Ax + By = C.

Simply distribute the 2 inside.

8x + 2(y+13) = 10
8x + 2y + 26 = 10
8x + 2y + 26 - 26 = 10 - 26

8x + 2y = -16 or
8x + 2y + 16 = 0.

Which measurement is most accurate to describe the height of a door?10 m
75 cm
2 m
980 mm

Answers

10m is higher than a two- storey house.

980mm and 75cm are less than 1 metre.

The best answer here is 2m.

Final answer:

The most accurate measurement to describe the height of a door given the options is 2 m. Other options such as 10 m, 980 mm, and 75 cm are either unrealistically tall for a door or convert to less than 1 meter making them shorter than typical doors.

Explanation:

To determine the most accurate measurement to describe the height of a door, we need to consider the typical height of a door in most buildings. This generally ranges from 2.0 to 2.1 meters. Given the options provided, the closest and most accurate measurement to this range would be 2 m.

Let's break down the other options as well: The option of 10 m is quite unrealistic as that would make a door taller than the size of most two-story buildings. The options of 980 mm and 75 cm both convert to less than 1 meter (0.98 m and 0.75 m respectively), which would be shorter than a typical door.

Learn more about Measurements here:

brainly.com/question/35640852

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