Answer:
Step-by-step explanation:
Answer:
take angle U as reference angle
using sine rule
sin U=opposite/hypotenuse
sinU=42/42
sin U=1
sin 90=1
therefore the value of U is 90 degree
Step-by-step explanation:
B is the answer because if u subtact both x and y
Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
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<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
Answer:
Step-by-step explanation:
Increasing the sample size in a particular study will bring about a decrease in the standard deviations of the means.
A decrease in the sample size for a particular study will bring about an increase in the standard deviations of the means.
Whereas the population mean of the distribution of sample means is the same as the population mean of the distribution being sampled from meaning that the population of the distribution of sample means never changes.
