The perimeter is 2(length) + 2(width), so 2(x+5) + 2(x+4) = 42 m. In solving for x, you find 6. Plug 6 back into your length and width where x originally was, and you find your length to be 11m, and your width to be 10m. Hope this helps!
Using the linear equation, T = 20x + 31, the total number of computers at the end of 2005 is: C. 191.
<h3>How to Use a Linear Equation?</h3>
A linear equation is expressed as y = mx + b, where x is a function of y, m is the rate of change and b is the y-intercept or starting value.
In the scenario stated, we are given the linear equation for total number of laptop computers at the school after 1997 as, T = 20x + 31.
Rate of change = 20
y-intercept/starting value = 31
x = 2005 - 1997 = 8
To find the total number of laptop computers at Grove High School at the end of 2005 (T), substitute x = 8 into the equation, T = 20x + 31.
T = 20(8) + 31
T = 160 + 31
T = 191 computers.
Thus, total number of computers at the end of 2005 is: C. 191.
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Answer:
259200
Step-by-step explanation:
so there are 86400 in one day. multiply by 3.
B. The equation is 4x = -48. Ben’s point total is -12.
Answer:
The 95% confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 48
The sample mean is 
The standard deviation is 
Now given that the confidence level is 95% , then the level of significance is mathematically represented as
Next we obtain the critical value of 
from the normal distribution table , the value is
The reason we are obtaining critical values of
instead of 
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
The margin of error is mathematically represented as
substituting values
The 95% confidence interval to estimate the mean breaking weight for this type cable is mathematically evaluated as
substituting values
