Answer:
The z-score for an income of $2,100 is 1.
Step-by-step explanation:
If X
N (µ, σ²), then
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z
N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
Given:
µ = $2,000
σ = $100
<em>x</em> = $2,100
Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:

Thus, the z-score for an income of $2,100 is 1.
Answer:
<u><em>6</em></u> rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs <em><u>6</u></em> rolls.
Step-by-step explanation:
to find perimeter, add up all the side lengths.
so 15*4 (it's easier than 15+15+15...)
60 ft.
now we have to use Pythagorean's Theorum to find corner to corner.
so
we have a and b
do the math...
225+225= 450
square root of 450=
21.213
double that because it's used twice (corner to corner and corner to corner)
42.426
now add it all up
42.426 + 60 = 102.426
we can round
102
20*5 = 100
so she needs 6
MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.
The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.
<h3>What is a Function ?</h3>
A function is a mathematical statement used to relate a dependent and an independent variable.
It is given that
Area of a Rectangle is 10 sq. unit
Width of the Rectangle is x unit
Length is given by
l(x) = 10 / x
When the length of the Rectangle is increased by 1 ,
The new function will be
l(x) = 10 /(x+1)
The new translated function will be more towards the origin , as the value of length is decreased ,
This is represented by Graph 3 ,
This can be proved by keeping the value of x
let x = 2
y = 10 /3 = 3.333
This is only in the graph 3 , Therefore Option C is the right answer.
To know more about Function
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The answer to question 3 is D. 15(4a+3). And the answer to question 4 is A. 90. Have a great day
Answer:
The constants are -15 and 9
Step-by-step explanation:
Constants are those numerical values that will never change, despite the value of x. The easiest way to find them are by finding those numbers that are not affecting x in any way.