Answer:


And tha's equivalent to use this formula:


Step-by-step explanation:
For this case the 95%of the values are between the following two values:
(75 , 163)
And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:

We can estimate the true mean with the following formula:

Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:


And tha's equivalent to use this formula:


Answer:
x = 15
Step-by-step explanation:
As given, the equation 40 = 25 + x
As on the R.H.S of the equation, there is one constant and a variable x
As to isolate the variable we have to subtract the same constant so that that constant gives 0.
As we have the constant value 25
So, subtract 25 from both side of the equation, we get
40 - 25 = 25 + x - 25
⇒15 = x
∴ we get
x = 15
The answer is 20% since the percentages cancels each other out.
Answer:
Multiply 2 by the coefficient 4 and you get 8x, which is the answer

Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.



<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>


Do cross multiplication, we get

Divide by 2x on both sides, we get
