To graph a line, first, we need to plot out values. Let’s find a few: if y is 2, -x would be 2-6, and x would be 4. If y is -2, x would be 8.
Now, all you have to do is put a few more of those points on a line graph and connect them.
Good luck!
Answer:
- cookie: $1.25
- cupcake: $2.75
Step-by-step explanation:
Let x and y represent the cost of a cookie and a cupcake, respectively.
4x +3y = 13.25
5x +2y = 11.75 . . . . . . the system of equations
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By Cramer's rule:
x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25
y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75
The cost of one cookie is $1.25; the cost of one cupcake is $2.75.
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Cramer's rule gives the solution to the system of equations ...
ax +by =c
dx +ey = f
as ...
∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆
Answer:
slope = -2
Step-by-step explanation:
y2 - y1 over x2 - x1
so do
7-3/ 2-4 = your slope
4/-2
Answer:
a₁ = -21 (Given)
a₂ = -28
a₃ = -35
a₄ = -42
Step-by-step explanation:
First term a₁ = -21 (Given)
…………………………………
Second term a₂ :
a₂ = 
…………………………………
Third term a₃ :
a₃ = 
…………………………………
Fourth term a₄ :
a₄ = 
Answer:
A task time of 177.125s qualify individuals for such training.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
A distribution that can be approximated by a normal distribution with a mean value of 145 sec and a standard deviation of 25 sec, so
.
The fastest 10% are to be given advanced training. What task times qualify individuals for such training?
This is the value of X when Z has a pvalue of 0.90.
Z has a pvalue of 0.90 when it is between 1.28 and 1.29. So we want to find X when
.
So




A task time of 177.125s qualify individuals for such training.