<span>lets solve for x, and then we'll find an integer solution:
3x + 4y = 24
3x = 24 - 4y
</span><span>x = (24 - 4y)/3
</span>so the right side has to be an integer, or 24 - 4y has to be a multiple of 3:
<span>24 - 4y
</span>then, y has to be 3, see:
<span>x = (24 - 4y)/3
</span><span>x = (24 - 4(3))/3
</span><span>x = (24 - 12)/3
</span><span>x = (12)/3
</span>x = 4
then, we have x = 4 and y = 3
Answer:
cos − 1 ( x ) [ − 1 , 1 ] [ 0 , π ]
→Answer:
A. strong positive
→Step-by-step explanation:
Well looking at the following scatterplot we can tell it is not negative only positive.
So we can cross out B. and C.
Looking at the dots and how close they are to creating a line we can decuct answer choice A. Because it is a strong positive.
It might be y=4x but then that would mean something else on the table is wrong
Answer:
0.9545
Step-by-step explanation:
To calculate the probability, we need to get the standard score or z-score of each of the scores.
Mathematically;
z-score = (x-mean)/SD
mean = 89 and SD(standard deviation) = 3
for 83, the z-score = (83-89)/3 = -6/3 = -2
for 95, the z-score = (95-89)/3 = 6/3 = 2
The probability we are to calculate has the following range;
P(-2<z<2)
we use the standard score table to estimate this;
= P(z<2) - P(z<-2)
P(z<2) = 0.97725
P(z<-2) = 0.02275
Plugging these values into the equation, we have ;
P(-2<z<2) = 0.97725 - 0.02275 = 0.9545