Answer:
x = -7
Step-by-step explanation:
Eleven more than five times a number is equal to the difference between −38 and twice the number.
let x represent the number.
11 + 5x = -38 - 2x
7x +11 = -38.............add 2x to both sides
7x = -49................... subtract 11 from both sides
x = -7........................divide both sides by 7
Answer:
The 95% confidence interval for the mean score is:
∈ 
Step-by-step explanation:
We want to estimate the population mean, that is, the average score of all the subjects.
An estimator for the population mean μ is 
Since the sample size is 
then we use the statistic 
with 
degrees of freedom
The confidence interval for the mean is:
Where
is the average score of the sample
is the standard deviation of the sample
is the sample size
for a confidence level of 95% and 26 degrees of freedom
Then confidence interval is
∈
Answer:216
Step-by-step explanation:
<span><span>The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set. The second quartile is the median of the data. The third quartile (Q3) is the middle value between the median and the highest value of the data set.</span></span>
Answer:
40.20cm approx
Step-by-step explanation:
Step one
given data
We are told that the dimension of a computer screen
diagonal= 52 cm
height= 33cm
Length = ?
Required
The length of the base of the screen
Step two
Let us use Pythagoras theorem to find the length of the base
Hyp^2= Opp^2+ Adj^2
52^2= 33^2+ L^2
2704= 1089+L^2
L^2= 2704-1089
L^2= 1615
L=√1615
L= 40.20cm approx
<u>The length is 40.20cm approx.</u>
