Answer:
8. X = 10.5 and 19. X = 5
Step-by-step explanation:
8. You know that a triangle interior angles should add up to 180° so:
(10x - 11) + (3x - 2) + (3x + 1) = 180
180 = 16x - 12
168 = 16x
The you divide each side by 16:
168 ÷ 16 = 16x ÷ 16
X = 10.5
10. You know that a straight line equals 180° and interior angles add up to 180° so:
1st you do 180 - 151 = 29°
2nd (11x - 1) + (20x - 3) + (29) = 180
180 = 31x + 25
155 = 31x
The you divide each side by 31:
155 ÷ 31 = 31x ÷ 31
X = 5
Answer:
i and iii) In the figure attached part a we have the illustration for the area required for the probability of less than 2 hours and in b the illustration for the probability that X would be between 2 and 4
ii)
And using the normal standard table or excel we got:
iv)
And we can find the probability with the following difference and usint the normal standard distirbution or excel and we got:
Step-by-step explanation:
Let X the random variable that represent amount of time people spend exercising in a given week, and for this case we know the distribution for X is given by:
Where
and
Part i and iii
In the figure attached part a we have the illustration for the area required for the probability of less than 2 hours and in b the illustration for the probability that X would be between 2 and 4
Part ii
We are interested on this probability:
We can use the z score formula given by:
Using this formula we have:
And using the normal standard table or excel we got:
Part iv
We want this probability:
Using the z score formula we got:
And we can find the probability with the following difference and usint the normal standard distirbution or excel and we got:
Answer:
It is the 3rd one
Step-by-step explanation:
I think it is a Distributive property.
Answer:
Cos b
Step-by-step explanation:
1/2[sin(a+b)+sin(a-b)]
1/2[sin a cos b +cos a sin b + sin A cos B - cos A sin B]
1/2[2sin a cos b]
sin a cos b