Answer:
The proportion of goats at fair Y exceeds that of goats at fair X.
Step-by-step explanation:
From the bar chart, we see there were 100 goats at both fairs X and Y.
Calculating the percentage of goats at each fair we find:
Fair X = 100/645 * 100 = 15.5%
Fair Y = 100/590 * 100 = 16.9%
This indicates that fair Y had a higher percentage of goats compared to fair X.
Answer:
The chance of completing the entire package installation in under 12 minutes is 0.1271.
Step-by-step explanation:
We define X as a normal distribution representing the time taken in seconds to install the software. According to the Central Limit Theorem, X is approximately normal, where the mean is 15 and variance is 15, giving a standard deviation of √15 = 3.873.
To find the probability of the total installation lasting less than 12 minutes, which equals 720 seconds, each installation should average under 720/68 = 10.5882 seconds. Thus, we seek the probability that X is less than 10.5882. To do this, we will apply W, the standard deviation value of X, calculated via the formula provided.
Utilizing
, we reference the cumulative distribution function of the standard normal variable W, with values found in the attached file.

Given the symmetry of the standard normal distribution density function, we ascertain
.
Consequently, the probability that the installation process for the entire package is completed within 12 minutes is 0.1271.
Answer:

Step-by-step explanation:
We start with the fact that
The formula for simple interest is represented by

where:
I denotes the Final Interest Value
P indicates the Principal amount to be invested
r specifies the interest rate
t refers to the Number of Time Periods
For this scenario, we have

We can substitute these values into the formula mentioned above

Next, we solve for t



Convert to a percentage format

Answer:
The polynomial expression 
To ascertain the multiplicity of 0, -2, -4, 5.
The multiplicity refers to how many times a root appears in a function.
First, identify the function's roots by setting it to zero.

Thus, the roots are x=0, -2, -4, and 5
To determine the roots' multiplicities:
The factor of x will give a root of x=0 with a multiplicity of 1
likewise, x=-2 with a multiplicity of 3
x=-4 with a multiplicity of 2
and x=5 with a multiplicity of 4.
A rectangle consists of 4 sides
with each angle being a right angle
and by definition, a right angle measures 90 degrees

False