Answer:
30
Step-by-step explanation:
There are 14 data points on the plot
The median is the middle value, which is between the 7th and 8th data points
Since it is even, we find the average of the 7th and 8th data points
Add the 7th and 8Th data points values and divide by 2
( 30+30)/2 = 60/2 = 30
The median is 30
Answer:
<em>a) 3<x<8</em>
<em>b) -4<x<-2</em>
<em>c) -6<x<5</em>
<em>d) -21/4 < x-8/3</em>
<em>e) 0<x<7</em>
Step-by-step explanation:
Given the following inequalities
a) x > 3, 2x - 3 < 15
Solve 2x - 3 < 15
2x < 15+3
2x<18
x<18/2
x<8
Combine x>3 and x<8
If x>3, then 3<x
On combining, we have:
3<x<8
b) For the inequalities 25 > 1 - 6x, 1 > 3x + 7
25 > 1 - 6x
25-1>-6x
24>-6x
Divide through by -6:
24/-6 > -6x/-6
-4 <x
For the inequality 1 > 3x + 7
1-7>3x
-6>3x
-6/3 > 3x/3
-2 > x
x < -2
Combining both results i.e -4 <x and x < -2, we will have:
-4<x<-2
c) For the inequalities 2x - 7<3< 27 + 4x
On splitting:
2x - 7<3 and 3< 27 + 4x
2x < 3+7
2x<10
x<5
Also for 3< 27 + 4x
3-27<4x
-24<4x
-24/4 < 4x/4
-6<x
Combining both solutions i.e x<5 and -6<x will give;
<em>-6<x<5</em>
d) For the inequalities 3x + 8 <0 < 21 + 4x
3x + 8 <0
3x < -8
x < -8/3
Also for 0 < 21 + 4x
0-21<4x
-21<4x
-21/4 < 4x/4
-21/4 < x
Combining -21/4 < x and x < -8/3 will give;
<em>-21/4 < x-8/3</em>
<em></em>
e) For the inequalities 5x - 36 < -1 < 2x – 1
Split:
5x - 36 < -1
5x < -1+36
5x<35
5x/5 < 35/5
x < 7
For the expression -1 < 2x – 1
-1+1 < 2x
0 < 2x
0<x
Combining both inequalities 0<x and x < 7 will give:
<em>0<x<7</em>
Answer:
I think the answer is Y=-1 and x=1
Answer:
yes
Step-by-step explanation:
Answer:
The sample size should be n=416 students.
Step-by-step explanation:
Hello!
The researchers wish to know which sample size should he take to estimate the true average number of alcoholic drinks all FSU undergraduate students who are members of a fraternity or sorority have in one week period.
The study variable is then
X: Number of drinks per week an undergraduate sorority/fraternity member has.
Preliminary studies show that the standard deviation is σ= 2.6 drinks per week.
Using a 1 - α: 0.95 of probability you have to find the sample size to estimate the population mean for a confidence interval with a margin error of no more than d= 0.25
Assuming that the variable has a normal distribution, the best statistic to use for the confidence interval is the standard normal, then the formula for the interval is:
X[bar] ±
* 
Where the margin of error is:
d=
* 
Using the given indormation you have to clear the sample size:
= 
= Sigma
= 
n= 
n=
= 415.50
Now since you cannot take a sample of 415.50 students, you have to round it to the next integer, so the sample size the researcher should take is 416 students.
I hope it helps!