Answer:
Subtract 4 from each side
Step-by-step explanation:
x + 4 > -8
Subtract 4 from each side
x + 4-4 > -8-4
x>-12
Answer:
See attachment for plot
Step-by-step explanation:
Given

--- increment in the rate
First, we need to model the new rate
A linear equation is:

Where

Compare
and
. we have:

The above represents the previous rate.
The new rate:

Rewrite as:



So, the model is:


<u>The plot at 1 and 2 minutes</u>
When 

When 

So, we have:


<em>Whether she moves backwards or forward, the distance covered remains the same</em>
<em>See attachment for plot</em>
Answer:
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
Step-by-step explanation:
Given that:
Cost of each lunch = $2.50
Cost of monthly lunch pass = $40.00
Number of lunches = x
For making the monthly pass a better deal, the cost of lunches should be greater than the cost of monthly lunches, therefore
Cost of lunch * Number of lunches > Cost of monthly lunch pass
2.50x > 40.00
Hence,
The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.
Answer:
6 * m
Step-by-step explanation:
6m is is multiplication so should be the equivalent expression
Written out as words clearly says
six times a number
times meaning multiplication
Meaning any other expression is equivalent as long as it is a form of multiplication
If I'm wrong please tell me if not
Hope this helped :]
Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
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:

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:

Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645




Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645




Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.