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3 years ago

If f is a function such that f(b)-f(a)/b-a=2, then which of the following statements must be true?

Mathematics

1 answer:

solong [7]3 years ago

3 0

Based on the type of equation, f(b) relates to y2, f(a) relates to y1, b relates to x2, and a relates to x1. If we change those around we now get:
(y2 - y1)/(x2 - x1) which is the slope formula, or the average rate of change. thus your answer would be C

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Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard devia

padilas [110]

Answer:

Option(A) is correct

Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

Step-by-step explanation:

The given data set in the question are ;33, 29, 97, 56, 26, 78, 83, 74, 65, 47, 58

the range can be determined by finding the highest value and subtract it to the lowest value. In this case the values are:

Highest = 97

Lowest = 71

Range = highest value - Minimum value

Range = 97 - 26 = 71

$Range= 71$

mean of the data is the summation of all the numbers in the data set divided by the number of given samples.

Mean = (33 + 29 + 97 + 56+ 26 + 78 + 83 74+ 65 + 47 + 58)/11

= 647/11

$Mean value =58.7$

Now to find the variance of the data set by using below formular

σ²=[ (xᵢ -mean)²]/n-1

[(33-58.7)² +(29-58.7)²+( 97-58.7)²+( 56-58.7)²+( 26 -58.7)²+(78-58.7)²+( 83 -58.7)²+(74-58.7)²+( 65-58.7)²+( 47 -58.7)²+(58 -58.7)²]/10

$Variance=546$

Now, we will calculate standard deviation by taking square root over variance

σ =√(variance)

σ =√(546)

$Standard deviation= 23.4$

Hence, the range is 71 ,variance is 546 and standard deviation is 23.4 therefore,

Option A is the answer that is Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

5 0

3 years ago

4k+mn=n-3; solve for n

solong [7]

Since we are solving for n you have to isolate the n. Therefore, you want all the variables with an n in it on one side and all the variables without an n on the other side:) :
4k+3= -mn+n (There were a change in signs because for example you moved the -3 to the other side, therefore it can only be a negative on one side so now you have to change the sign to a positive:) hope you got that)
That would've been your answer because you cannot do anything else...Hope this helped :)

8 0

3 years ago

PLEASE HELP ASAP!

scoray [572]

Answer:

AM = 900

CI = 500

I have to be honest, this is the most ridiculously worded question of this type that I have ever seen... ask you teacher, why it was so important to force you to solve it using only one variable?

Step-by-step explanation:

(AM) + (1400-AM) = 1400

2(AM) + 3(1400 - AM) = 3300

2AM + 4200 -3AM = 3300

-AM = -900

AM = 900

CI = 500

4 0

3 years ago

Solve r=s/17−t for t

mamaluj [8]

T=-r+s/17

Explanation:

6 0

3 years ago

(WORTH 20 POINTS)

tresset_1 [31]

So the function is
$f(x)=3( \frac{1}{3})^{ x }$
the intial value is where x=0
where x=0, the value of f(0)=3

grouth is 1/3 but it is decay, so it might be correct, or not because it is decay
it is exponential decay
true it is a stretch of the funciton f(x)=(1/3)^x
when x=3, then f(3)=1/9

the true things are

The function shows exponential decay.
The function is a stretch of the function f(x) = (1/3)x .

6 0

3 years ago

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