Answer: There is probability of approximately 12% that Komets losing their race and the Galaxy winning their game.
Explanation:
Since we have given that
Probability of the Galaxy team wins = 22%
Probability of the Komets team wins = 47%
So, Probability of the Komets losing their race is given by

We need to find the probability of the Komets losing their and the Galaxy winning their game .
Let Event K : Komets losing their game
Event G : Galaxy winning their game
Since these are two independent events,
So,

So, there is probability of 12% that Komets losing their race and the Galaxy winning their game.
Answer:
(a) $5.3991
(b) 605.3991
Step-by-step explanation:
(a)
Taking this as simple interest
Interest= 
where P is principal amount which in this case is $600, R is the rate in percentange which in this case is 0.04285% and T is the duration which in this case is 21 days. Substituting these we have
Interest= ($600*0.04285*21)/100
Interest=$5.3991
(b)
Amount repaid is combination of interest and principal amount
Amount=$600+$5.3991
=$605.3991
Ans=$605.3991
So there is a deduction of 6.2% of the first $113,000.00 and 1.45% of all annual earnings for medicare taxes.
Randy earns a monthly gross salary of $3,600.00. So Randy makes:
dollars annually.
Now,
Randy's this month's Social Security tax withholding will be given by 6.2% of his gross monthly salary that is $3,200.00.

So, month's Social Security tax withholding is $223.20.
Now this month's Medicare tax withholding is given by 1.45% of his monthly gross salary.
That is:

So, month's Medicare tax withholding is $52.20.
Answer: b) 58%
<u>Step-by-step explanation:</u>
First, let's find the z-score using the formula: 

Next, refer to the z-score table below to find the value of 0.20
Look on the left side for 0.20 and the top for 0.00 to find the percent for 0.20. The table shows the percent above the MEAN so you need to add the percent below the mean (50%) to the value in the table.
0.0793
<u>+ 0.5 </u>
0.5793 = 57.93%
Answer:
Step-by-step explanation:
The vector in component form is the difference of the coordinates of its end points:
rock - ship = (4, 7) - (1, 0) = (3, 7) . . . . vector from ship to rock
__
The angle from North can be found using the tangent relation:
tan(bearing) = (east distance)/(north distance) = 3/7
bearing = arctan(3/7) ≈ 23.1986°
The bearing of the rock is 23.20°.