Answer:
x=36
Step-by-step explanation:
if PQR is isosceles then
PRQ will also equal 69 degrees
straight line = 180 degrees
so if PRQ is 69, then
PRS = 180-69
= 111 degrees
now to find x , since we have two angles within that triangle
180 - 111 - 33 = 36 degrees
Answer:


The confidence interval of standard deviation is:
to 
Step-by-step explanation:
Given

See attachment for the formatted data
Solving (a): The mean
This is calculated as:

So, we have:




Solving (b): The standard deviation
This is calculated as:




--- approximated
Solving (c): 95% confidence interval of standard deviation
We have:

So:



Calculate the degree of freedom (df)



Determine the critical value at row
and columns
and 
So, we have:
---- at 
--- at 
So, the confidence interval of the standard deviation is:
to 
to 
to 
to 
Answer:
600 numbers
Step-by-step explanation:
For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.
However, 0 cannot be used as the first digit, because it would make a 5-digit number.
Therefore
there are 5 choices for the first digit (exclude 0)
there are 5 choices for the first digit (include 0)
there are 4 choices for the first digit
there are 3 choices for the first digit
there are 2 choices for the first digit
there are 1 choices for the first digit
for a total of 5*5*4*3*2*1 = 600 numbers
The inequality is all real numbers.
<h3>What is inequality?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
|3x|≥0
3x = 0
Divide both sides of the equation by the coefficient of variable
x= 0/3
x=0 = RHS
Learn more about inequality here:
brainly.com/question/20383699
#SPJ1
1 hour = 60 minutes
15 minutes = (60/15) = 1/4th of an hour
1/4 = 0,25
<span>15 minutes is 25% of an hour</span>