Answer:
x = y
Step-by-step explanation:
Given
y = 4x + 8x, that is
y = 12x ( divide both sides by 12 )
= x, or
x = y
stanley has $1.60 in pennies, dimes, and quarters. he has 5 times as many pennies as he has quarters. he has 25 coins total. how
1 answer:
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Answer:
(3, -3)
Step-by-step explanation:
A point qualifies as a solution to a system of inequalities if it is true when both of its x and y values are substituted into the both inequalities. Knowing this, let's plug in the first option, (3, -3), into both inequalities.
Let's try 6x + 3y > 3 first. Substitute 3 for x and -3 for y:
9 is bigger than 3, so (3, -3) is a solution to that inequality.
Let's try . Do the same, substituting the same values:
6 is bigger than 4, so (3, -3) is a solution to that inequality too.
Since (3, -3) is a solution to both inequalities, it must be the answer.
Answer:
a) The value of the sample mean is 50
b) (38.02, 61.98) is the 95% as it covers more values than the other.
Step-by-step explanation:
a) Upper and lower values for the confidence intervals are at the same distance from the mean, as they represent an upper and lower limit for the value, and the most probable value is the one in the middle, which, in a normal distribution is the mean.
As they derive from the same data, both pairs of values should give us the same mean:
b) The percentage of the confidence interval tells us which is the area below the bell curve (of the normal distribution) between the limits given.
One could give a value with a 100% CI, but limits should be minus and plus infinity, and as the interval gets smaller, less values are covered (less area), and less certain we are about our value being inside the interval.
Then, we can say that the widest interval must be the 95% CI, i.e. (38.02, 61.98).