To calculate for the standard deviation given the
probability, we use the formula:
s = sqrt (n p q)
where s is standard deviation, n is number of samples = 11,
p is probability of success = 0.7, q = 1 – p = 0.30
s = sqrt (11 * 0.7 * 0.3)
<span>s = 1.52</span>
Answer:
<h2>Second choice.</h2>
Step-by-step explanation:
The given inequality is

Let's solve for 

Basically, the solution of the given inquality is set with all real numbers which are equal or less than -8. So, the solution must indicate a blue line starting at -8 pointing to its left.
Therefore, the second choice represents the solution to the given inequality.
Answer:
701 revolutions
Step-by-step explanation:
Given: Length= 2.5 m
Radius= 1.5 m
Area covered by roller= 16500 m²
Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.
Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.
Formula; Lateral surface area of cylinder= 
Considering, π= 3.14
⇒ lateral surface area of cylinder= 
⇒ lateral surface area of cylinder= 
∴ Area covered by cylindrical roller in one revolution is 23.55 m²
Next finding total number of revolution to cover 16500 m² area.
Total number of revolution= 
Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.
Answer:
40 and 20
Step-by-step explanation:
Answer:

Step-by-step explanation:
step 1
Determine the slope of the dashed line
The formula to calculate the slope between two points is equal to

we have
(-3,1) and (0,3)
substitute


step 2
Find the equation of the dashed line in slope intercept form

we have

---> given problem
substitute

step 3
Find the equation of the inequality
we know that
Is a dashed line and everything to the left of the line is shaded
so

see the attached figure to better understand the problem