Let the number of 4th and 5th graders be x.
The number of k-3 graders will be (x+300)
The fraction of 4th and 5th graders is 5/12
The fraction of the whole students combined is 1/1
The fraction of k-3 graders is 1-5/12=7/12
The total number of students will be x+(x+300)=2x+300
the fraction of 4th and 5th graders will be given by:
x/(2x+300)=5/12
12x=5(2x+300)
12x=10x+1500
2x=1500
x=1500/2=750
Thus the total number of students will be:
2x+300
=2*750+300
=1500+300
=1800
b] Given that of the 4th and 5th graders, (x=750), 2/5 are 4th graders, therefore the fraction of 5th graders will be:
1-2/5=3/5
the total number of 5th graders will be:
3/5*750
=450
The number of 5th graders will be 450
Answer:
-m(+/-)sqrt(m^2-m)=x.
Step-by-step explanation:
Answer:
a. SE = 0.403 mol
Step-by-step explanation:
The standard error of the mean, is the standard deviation of means of means.
It is calculated using,
![SE= \frac{ \sigma}{ \sqrt{n} }](https://tex.z-dn.net/?f=SE%3D%20%5Cfrac%7B%20%5Csigma%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20)
We have the standard deviation to be
![\sigma = 4.864](https://tex.z-dn.net/?f=%20%5Csigma%20%3D%204.864)
and the sample size is n=146.
We substitute the values to get:
![SE= \frac{4.864}{ \sqrt{146} }](https://tex.z-dn.net/?f=SE%3D%20%5Cfrac%7B4.864%7D%7B%20%5Csqrt%7B146%7D%20%7D%20)
![SE= 0.4025](https://tex.z-dn.net/?f=SE%3D%200.4025)
We approximate to three decimal places to get:
![SE= 0.403](https://tex.z-dn.net/?f=SE%3D%200.403)
Answer:
b
Step-by-step explanation:
6 is repeating
fillerfillerfilller
Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{
Nady [450]
Answer:
![\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}](https://tex.z-dn.net/?f=%5C%7B%28-6%2C%20-4%29%2C%20%284%2C%20-8%29%2C%20%28-6%2C%209%29%2C%20%281%2C%20-3%29%5C%7D)
Step-by-step explanation:
Given
![\{(5, -9), (6, -6), (-3, 8), (9, -6)\}](https://tex.z-dn.net/?f=%5C%7B%285%2C%20-9%29%2C%20%286%2C%20-6%29%2C%20%28-3%2C%208%29%2C%20%289%2C%20-6%29%5C%7D)
![\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}](https://tex.z-dn.net/?f=%5C%7B%28-6%2C%20-4%29%2C%20%284%2C%20-8%29%2C%20%28-6%2C%209%29%2C%20%281%2C%20-3%29%5C%7D)
![\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}](https://tex.z-dn.net/?f=%5C%7B%281%2C%20-1%29%2C%20%28-5%2C%207%29%2C%20%284%2C%20-9%29%2C%20%28-9%2C%207%29%5C%7D)
![\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}](https://tex.z-dn.net/?f=%5C%7B%288%2C%20-9%29%2C%20%28-3%2C%20-6%29%2C%20%28-4%2C%204%29%2C%20%281%2C%20-5%29%5C%7D)
Required
Which is not a function
An ordered pair is represented as:
![\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}](https://tex.z-dn.net/?f=%5C%7B%28x_1%2Cy_1%29%2C%28x_2%2Cy_2%29%2C%28x_3%2Cy_3%29%2C..........%2C%28x_n%2Cy_n%29%5C%7D)
However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)
<em>From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.</em>