When comparing to thing with same rate, set up a proportion:
Inches/cost
13/.78=33/x
(13)(x)=(.78)(33) [cross multiplied]
13x=25.74 [simplified]
13/13x=25.74/13 [division property]
x=1.98
33 inches of wire will cost $1.98.
Haha, there isn't a thing that makes you 'really smart'.
However, you can grow and improve your knowledge.
The more challenging material you expose yourself to, while putting in the effort to solve them, there's no doubt you'll definitely improve!
+ you can try exercising your brain every now and then by playing trivia games or reading books- do whatever interests you and helps you learn!
Answer:
y=4/3x-5
Step-by-step explanation:
4x-3y=15
-4x -4x
______________
-3y=-4x+15
---- --- ---- (divide all by -3)
-3 -3 -3
y=4/3x-5
Answer:
Lower limit: 113.28
Upper limit: 126.72
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Middle 60%
So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8
Lower limit
X when Z has a pvalue of 0.20. So X when 
Upper limit
X when Z has a pvalue of 0.80. So X when 
Answer:
<h2>
y = -6x - 16</h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -6
(-3, 2) ⇒ x₀ = -3, y₀ = 2
The point-slope form of the equation:
y - 2 = -6(x + 3)
So:
y - 2 = -6x - 18 {add 2 to both sides}
y = -6x - 16 ← the slope-intercept form of the equation
