Answer:
56.7
Step-by-step explanation:
Hello There!
<u>Trigonometric Ratios</u>
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length and the hypotenuse
so the trigonometric ratio we need to use is sin
knowing that sin = opposite side divided by hypotenuse we create an equation
our final step is to round to the nearest tenth of a degree
so we can conclude that the measure of angle A is 56.7
note: arcsin = inverse of sin
Answer: the standard deviation of the means (D)
Step-by-step explanation:
Answer:
133/143
Step-by-step explanation:
Let S be the sample space
Let E be the event of selecting three committee partners with at least one junior partner.
Partners in the law firm include:
Senior partners = 6
Junior partners = 7
Total partners = 13
n(S) = number of ways of selecting 3 partners from 13 = 13C3
n(S) = 13C3 = 13!/(10!3!) = (13x12x11)/(3x2x1) = 286
To get n(E) i.e least 1 junior partner in the selected committee, we may have:
(2 senior and 1 junior) or ( 1 senior and 2 junior) or (3 junior).
Therefore, the required number of way is given below:
= (6C2 x 7C1) + (6C1 x 7C2) + 7C3
= [(6x5)/2 x 7] + [6 x (7x6)/2] + [(7x6x5)/(3x2)]
= 105 + 126 + 35
n(E) = 266
Therefore, the probability P(E) that at least one of the junior partners is on the committee is given below:
P(E) = n(E) /n(S)
P(E) = 266/286
P(E) = 133/143
Answer:
A:
Multiple: 3 * 5 = 15
Add: 7 + the result of step No. 1 = 7 + 15 = 22
Divide: 4 / 2 = 2
Subtract: the result of step No. 2 - the result of step No. 3 = 22 - 2 = 20
Add: the result of step No. 4 + 3 = 20 + 3 = 23
B:
Add: 7 + 3 = 10
Multiple: the result of step No. 1 * 5 = 10 * 5 = 50
Divide: 4 / 2 = 2
Subtract: the result of step No. 2 - the result of step No. 3 = 50 - 2 = 48
Add: the result of step No. 4 + 3 = 48 + 3 = 51
Answer:
Step-by-step explanation:
Fixed monthly fee = $20
Amount charged per minute for long distance calls = $0.20
denotes total cost such that 
minutes are used for long distance calls.
Amount charged for minutes for long distance calls 
Therefore, an equation for the total cost, C, when N minutes are used for long distance calls is
