Answer:
The solution would be (-4, -2)
Step-by-step explanation:
To find this simply add the two equations together.
-9x+7y=22
9x-5y=-26
----------------
2y = -4
y = -2
Now we have the y value, we can solve for the x value.
9x-5y=-26
9x-5(-2)=-26
9x+10=-16
9x=-36
x = -4
Answer:
$
Step-by-step explanation:
Answer:
A) 0.0107
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 440 seconds and a standard deviation of 40 seconds.
This means that 
Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.
This is the p-value of Z when X = 348. So



has a p-value of 0.0107, and thus, the correct answer is given by option A.
Times 11 by 30 and 6 by x. You should get 6x=330. then divide 6 by 330 and you'll get 55. x=55<span />
Answer:
a = 30 degrees; b = 60 degrees; and c = 105 degrees.
Step-by-step explanation:
Angle a and the 30 degree angle are vertical angles and thus are equal.
Since the interior angles of a triangle always add up to 180 degrees, 30 + b + 90 degrees = 180 degrees, so that b must be 60 degrees.
Angle c and the 75 degree angle are straight angles, and so their sum must be 180 degrees. Thus, c = 105 degrees.