Answer:
4*3=12
12*4=
3*3=9
9*2=18
18+48=66
Step-by-step explanation:
9514 1404 393
Answer:
No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
Step-by-step explanation:
Line AB is horizontal, so reflection across the x-axis maps it to a horizontal line. Then rotation CCW by 90° maps it to a vertical line. The composition of transformations cannot map the figure to itself.
A reasonable explanation is the last one:
No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
You need to divide 9 to both sides in order for y to come alone. So then you would have to divide 27 by 9 and y = 3. Hope this helps!
First, you would have to do 11x + 3x Since you're combining like terms.
Now your problem is 14x + 40 = -24
Now you would do 40 - -24 which is now 40+24 and equal to 64.
Now you divide 14 by 64 and you get 4.5
Answer:
a)0.6192
b)0.7422
c)0.8904
d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Step-by-step explanation:
Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then
z(p)=
where
- Me is the margin of error from the mean
- s is the standard deviation of the population
a.
z(p)=
≈ 0.8764
by looking z-table corresponding p value is 1-0.3808=0.6192
b.
z(p)=
≈ 1.1314
by looking z-table corresponding p value is 1-0.2578=0.7422
c.
z(p)=
≈ 1.6
by looking z-table corresponding p value is 1-0.1096=0.8904
d.
Minimum required sample size for 0.95 probability is
N≥
where
- z is the corresponding z-score in 95% probability (1.96)
- s is the standard deviation (50)
- ME is the margin of error (8)
then N≥
≈150.6
Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.