Answer:
The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.2622
The margin of error is:
M = T*s = 2.2622*0.3 = 0.68
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF
The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF
The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF
Answer:
4.16
Step-by-step explanation:
Mixed Number = 4 1/6
Decimal = 4.16
Fraction = 4.1666666
Percentage = 416%
Answer: There are 69 adults and 72 children went to the concert.
Step-by-step explanation:
Let x be the number of adults, and y be the number of children.
x + y = 141
3.5x + 2.5y = 421.5
x + y =141
x = 141 - y
3.5(141 - y) + 2.5y = 421.5
493.5 - 3.5y + 2.5y = 421.5
493.5 - y = 421.5
-y = -72
y = 72
x + y = 141
x + 72 = 141
x = 69
Answer:
Model A is 9
Model B is 5
Step-by-step explanation:
At Lisa's printing Company LLC there are two kinds of printing presses model.
Let x = the number of model A printing press.
Let y = the number of the model B printing press.
model A can print 70 bucks per day and model B can print 55 bucks per day.
The total number of both models prints 905 bucks per day.
This means
70x + 55y = 905 - - - - - - - - -1
The company owns 14 total printing presses. This means
x + y = 14 - - - - - - - - - -2
x = 14-y
Put x = 14-y in equation 1
70(14-y) + 55y = 905
980 -70y + 55y = 905
-15y = 905-980= -75
y = -75 / -15= 5
x = 14-y = 14-5
= 9
The solution to this system of inequalities x + y>4 , x + y <3 is Option A
The complete question is
Which graph shows the solution to this system of inequalities? x + y>4 x + y <3
The image are attached with the answer.
<h3>What are Inequality ?</h3>
When an expression is equated with another expression by an Inequality operator (< , > < etc) then the mathematical statement formed is called Inequality.
The inequalities are
x+y>4
x + y <3
After plotting both the inequalities in the graph the following graph that is attached with the answer is obtained.
Therefore the correct answer is Option A
To know more about Inequalities
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