Answer:
$168.75
Step-by-step explanation:
In the morning you'll have a time of about 4 hours.
In the afternoon you'll have 8.5 hours.
You take these and add them together 4 + 8.5 = 12.5
Then you take your sum and multiply it by the wage you make per hour 13.50 x 12.5 = $168.75
There are 3 methods to solve this. elimination substitution and graphing but i am going to use the elimination method.
x+2y=17
<u> x-y =2
</u> 0+3y =15 ( subtracted down to eliminate the x)( x-x=0, 2y-(-y)=3y, and 17-2=15)
3y=15 (divide both sides by 3 to solve for y)
y=5
<u>substitute the y=5 in any of the above equations and solve for x
ie... ( </u>meaning where you find y in the equation, u replace it with a 5)
it will be easier to solve for x in (x-y=2) so i will use that one.
x-(5)=2 ( add 5 on both sides to solve for x)
x=7
Answer:
75.94% of the households spent between $5.00 and $9.00 on sugar.
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:
What proportion of the households spent between $5.00 and $9.00 on sugar?
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 5. So
X = 9
has a pvalue of 0.7611
X = 5
has a pvalue of 0.0017.
So 0.7611 - 0.0017 = 0.7594 = 75.94% of the households spent between $5.00 and $9.00 on sugar.
Given;
6Ln (x + 2.8) = 9.6
We will transpose 6 in the Ln, so that we will leave Ln alone.
Ln (x + 2.8) = 9.6/6 = 1.6
we divide the 9.6 to 6 and we get 1.6
x + 2.8 = e^1.6
e^ for the substitution of Ln
x = e^1.6 - 2.8
insert the e^(1.6) in the calculator and you will get 4.95303242439511 and subtract 2.8 and you will get the answer.
x = 2.153
2.153 is the final answer in this question.
