Answer:
3.89
Step-by-step explanation:
5.42+2.25=7.67
7.67-3.78=3.89
Hope this helps
Answer: If X = 5, z=<u>-3</u>
If X = 37, z= <u>3.4</u>
Step-by-step explanation:
We know that the formula to find the z-score for any random variable x is given by :-
, where = Population mean
= Population standard deviation.
As per given , we have
Then , the z-score for x =5
i.e. If X = 5, z=<u>-3</u>
When x =37,then
i.e. If X = 37, z= <u>3.4</u>
Answer:
6.5 seconds
Step-by-step explanation:
Keep in mind that when , this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:
So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds
Answer:
sin A = 13/85
Step-by-step explanation:
Opposite Angle A is side BC, of length 13. The length of the hypotenuse is 85. The sine function is defined as the ratio opp/hyp. In this problem that ratio is
opp
------ = sin A = 13/85
hyp
We use the inverse sine function arcsin x to determine Angle A:
A = arcsin 13/85 = 8.8 degrees
Let the length of one side of the cube be x. Then the surface area of the cube is A = 6x^2 = 1014 cubic units. We want the cube volume, so must first solve for x and then cube the result:
1014 cu. in.
x = square root of ----------------- = sqrt(169) = 13
6
The volume of this cube is thus (13 units)^3 = 4826809 cubic units.