P = 3
n = 5
N = 15
<span><span><span>x </span><span>¯ </span></span> </span>
= 16
<span><span>SST</span> </span>
= <span><span>∑n(x−<span><span>x </span><span>¯ </span></span><span><span>) </span><span>2 </span></span></span> </span>
<span><span>SST</span> </span>
= <span><span>5(12−16<span><span>) </span><span>2 </span></span>+5(16−16<span><span>) </span><span>2 </span></span>+11(20−16<span><span>) </span><span>2 </span></span></span> </span>
= 160
<span><span>MST</span> </span>
= <span><span><span><span>SST</span><span>p−1</span> </span> </span>
</span>
<span><span>MST</span> </span>
= <span><span><span>160<span>3−1</span> </span> </span>
</span>
= 80
<span><span>SSE</span> </span>
= <span><span>∑(n−1)<span><span>S </span><span>2 </span></span></span> </span>
SSE = 4*4 + 4*1 + 4*16
= 84
<span><span>MSE</span> </span>
= <span><span><span><span>SSE</span><span>N−p</span> </span> </span>
</span>
<span><span>MSE</span> </span>
= <span><span><span>84<span>15−3</span> </span> </span>
</span>
MSE = 7
<span>F </span>
= <span><span><span><span>MST</span><span>MSE</span> </span> </span>
</span>
<span>F </span>
= <span><span><span>807 </span> </span>
</span>
= 11.429
Answer:
3/4 or 0.75
Step-by-step explanation:
the equation is in slope-intercept form
y=mx+b
where m is the slope and b is the y-intercept.
you have already found the y-intercept to be -2, so now we just have to find the slope.
slope is also known as rise/run. so if we start at the y-intercept of -2, we can rise (go up) 3 units and then run (go over) 4 units until we reach another point on the line.
so the slope is 3/4 which is also equal to 0.75 units
Answer:
Sarah makes 8 rows of squares.
Step-by-step explanation:
Given:
Number of squares she uses = 48
Number of squares in each row = 6
We need to find the number of rows she can makes.
Solution:
Let the number of rows she can make be 
.
Now we can say that;
Number of rows she can make is equal to Number of squares she uses divided by number of squares in each row.
framing in equation form we get;
Hence Sarah makes 8 rows of squares.
3 x 3 x 3 x 3 x 23 = 1,863. It can also be written in exponential form as 3 to the power of four times 23.
Let the larger number be x
The smaller number would be x-3
(x-3)+x=67
2x-3=67
2x=67-3
2x=64
x=64/2
x=32
Therefore the larger number is 32 and the smaller is (32)-3= 29
Hope I helped :)
