Answer:
Step-by-step explanation:
you need to cross multiple
Answer:
900
Step-by-step explanation:
Margin of error = critical value × standard error
The margin of error is given to be 0.05.
At 99.5% confidence, the critical value is z = 3.
The standard error for a proportion is √(pq/n). Since p is not given, we will assume p = 0.5.
0.05 = 3 √(0.5 × 0.5 / n)
n = 900
<span>The type of transformation that will produce a similar, but not congruent figure is a dilation.
A dilation is a transformation , with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.
The scale factor of a dilation is the factor with which the image increase or decrease from the pre image, it also gives the factor with which the the distances from O to the vertices of the image are more than the distances from O to the original figure.
For a scale factor between 0 and 1 the image is a shrinking (i.e. the image is smaller that the original figure) while for a scale factor above 1, the image is an enlargement (i.e. the image is bigger that the original figure).</span>
Answer:
Question 1: x = 0,6,4
Step-by-step explanation:
#1. If we let x be the side of the cut-out square, the formula for the volume of the box is
Expanding gives us
To find the zeros, we need to set the equation to 0, and the values of x that would result to zero would be:
Answer:
Option 1 is correct i.e.
Step-by-step explanation:
We need to simplify the expression: 
We know that: 
and 
We would use these exponent laws to solve our question.
First we will apply
Now, we will apply
So, the result is: 
Therefore, Option 1 is correct i.e.
