Answer:
Part a: So the number of business owners giving holiday gift to their employees from survey is 12.
Part b: p-value is 0.00003
Part c: value of p is less that a we reject the null hypothesis.
Step-by-step explanation:
Part a
number of business owners=20% x n
number of business owners= 0.2x 60
number of business owners=12
Part b
H0: p=0.46
H1: p<0.46
Here
n=60, 
=0.2, p=0.46
So test statistics is given as
p-value is P(z<-4.04)= 0.00003
Part c
As value of p is less that a we reject the null hypothesis.
I'm pretty sure the answer will just be the 1.6 multiply by 512
Answer: A reflection (Across the y-axis)
Step-by-step explanation:
Transformation possiblitites:
Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.
Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.
Dilation: The new point if dilated wouldn't be in close proximity with the original point.
Perfect squares are n² where n is a whole number
whole numbers are like 0,1,2,3,4,5,6, etc
no decimal or fractions
we can do that be looking at the perfect squares we know
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
etc
so we see 47 is between 6² and 7²
therefor, for n²=47, n is between 6 and 7 and is therfore not a whole number
that makes 47 not a perfect square
Answer:
Find half the area of the rectangle
Step-by-step explanation:
Given
See attachment for the Serek's steps
Required
Which can be used to determine the area of the original triangle
To do this, we simply analyze each step.
At step 2, where he joined two congruent triangles to form a parallelogram.
Half the area of the parallelogram will give the area of the original triangle (since both triangles are equal)
At step 3, where he decomposed the parallelogram to a trapezoid and a right triangle.
Half the sum of the areas of the resulting shapes (trapezoid and right triangle) will equal to the area of the original triangle but half the area of each shape will not amount to the area of the original triangle
At step 4, where the right triangle and the trapezoid are merged to form a rectangle.
The area of the rectangle will equal to the area of the parallelogram in step (2).
So, half the area of the rectangle will equal to the area of the triangle.
<em>Hence, (b) is correct</em>
