Answer:
0.0273
Step-by-step explanation:
np n
10 100
9 100
11 100
7 100
3 100
12 100
8 100
4 100
6 100
11 100
pbar=sumnp/sumn
pbar=10+9+11+7+3+12+8+4+6+11/10+10+10+10+10+10+10+10+10+10
pbar=81/1000
pbar=0.081
nbar=sumn/k=1000/10=100
![Standard deviation for pbar chart=\sqrt{\frac{pbar(1-pbar)}{nbar} }](https://tex.z-dn.net/?f=Standard%20deviation%20for%20pbar%20chart%3D%5Csqrt%7B%5Cfrac%7Bpbar%281-pbar%29%7D%7Bnbar%7D%20%7D)
![Standard deviation for pbar chart=\sqrt{\frac{0.081(0.919)}{100} }](https://tex.z-dn.net/?f=Standard%20deviation%20for%20pbar%20chart%3D%5Csqrt%7B%5Cfrac%7B0.081%280.919%29%7D%7B100%7D%20%7D)
![Standard deviation for pbar chart=\sqrt{\frac{0.0744}{100} }](https://tex.z-dn.net/?f=Standard%20deviation%20for%20pbar%20chart%3D%5Csqrt%7B%5Cfrac%7B0.0744%7D%7B100%7D%20%7D)
![Standard deviation for pbar chart=\sqrt{0.0007444 }](https://tex.z-dn.net/?f=Standard%20deviation%20for%20pbar%20chart%3D%5Csqrt%7B0.0007444%20%7D)
Standard deviation for p-chart=0.0273
Answer:
8k² (2k + 3)
Step-by-step explanation:
16k³ + 24k²
=8k²(2k + 3)
Hi!
18.49 * 5.75% = 1.063175
18.49 + 1.063175 = 19.553175 (Round to the nearest cent).
The cost (including tax) will be $19.55. Since $20 is greater than $19, the gift card will be able to cover the cost!
Inequalities are used to represent unequal expressions.
The inequality is: (c) ![\mathbf{3p + 6 \ge 18}](https://tex.z-dn.net/?f=%5Cmathbf%7B3p%20%2B%206%20%5Cge%2018%7D)
The given parameter is:
![\mathbf{Free = 6}](https://tex.z-dn.net/?f=%5Cmathbf%7BFree%20%3D%206%7D)
Represent the number of 3-point field goals with p.
So, the total number of points is:
![\mathbf{Total = 3 \times p + Free}](https://tex.z-dn.net/?f=%5Cmathbf%7BTotal%20%3D%203%20%5Ctimes%20p%20%2B%20Free%7D)
![\mathbf{Total = 3 p + Free}](https://tex.z-dn.net/?f=%5Cmathbf%7BTotal%20%3D%203%20p%20%2B%20Free%7D)
Substitute 6 for Free
![\mathbf{Total = 3 p + 6}](https://tex.z-dn.net/?f=%5Cmathbf%7BTotal%20%3D%203%20p%20%2B%206%7D)
He scored no fewer than 18 points, means that:
He scored 18 or more points
So, the inequality is:
![\mathbf{Total = 3 p + 6 \ge 18}](https://tex.z-dn.net/?f=%5Cmathbf%7BTotal%20%3D%203%20p%20%2B%206%20%5Cge%2018%7D)
Rewrite as:
![\mathbf{3p + 6 \ge 18}](https://tex.z-dn.net/?f=%5Cmathbf%7B3p%20%2B%206%20%5Cge%2018%7D)
Hence, the correct option is (c)
Read more about inequalities at:
brainly.com/question/11612965