Based on the given statements, the valid argument is that D. <span>It cannot be concluded that Beth drew a triangle with an angle measure of 90°.
We known that she drew a triangle, but we don't know what triangle - so A and B are incorrect. Also C, because we know that she drew a polygon, because a triangle is a polygon. </span>
Answer:
the value of x=
2×-12= -24
the value of y is 3y plus 20 which equals to 23
Answer:
Miguel has $63
Lisbeth has $11
David has $21
Step-by-step explanation:
let Miguel share be M
let Lisbeth share be L
let David share be D
from the question, we know that
M=3D
L=D-10.
M+L+D=95
thus,
3D+(D-10)+D= 95
3D+D-10+D= 95
5D-10 = 95
5D= 95+10
5D= 105
D= 105/5
D= 21.
thus,
M = 3D = 3×21
= $63
L = D-10 = 21-10
= $11
(63+21+11)$ = $95
Answer:
(1)
Step-by-step explanation:
Data given and notation
n=100 represent the random sample taken
estimated proportion with the survey
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion 
is significantly different from a hypothesized value 
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Step-by-step explanation:
b. what is the perimeter of the rectangle in terms of k?
