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:


simplify : the exact value of sin 240
Explanation: sin(240)=sin(60+180)=-sin60

Final answer: the required vaalue of the sin 240 is -0.87
-2 or 2 is the answer. The absolute value of 2 is 2 and the absolute value of -2 is 2 because absolute value can not be negative.
Answer:
3rd option
Step-by-step explanation:
A direct variation is expressed in this form:
y = kx
1. y - 4x = 8
y = 4x + 8 is not a direct variation
2. y + 2 = 7x
y = 7x - 2 is not a direct variation
3. y - 3x = 0
y = 3x is a direct variation
4. y = 5x - 2
y = 5x - 2 is not direct variation
288 divided by 12 = 24
240 divided by 10 = 24