Answer:
All Real Numbers
Step-by-step explanation:
Step 1:
2x - 5 = 19 Equation
Step 2:
2 ( 12 ) - 5 = 19 Substitute
Step 3:
24 - 5 = 19 Multiply
Answer:
19 = 19 Subtract
Hope This Helps :)
Step-by-step explanation:
=3(2+c)-2(c-5)
=6+3c-2c+5c
=6+6c
=6(1+c)
hope it helps.
Answer: (1, 1)
Step-by-step explanation:
3.17, because there are about 1.056 quarts in one liter.
1.056 times 3 = 3.168, which, rounded to the nearest hundredth, is 3.17.
Answer:
A. 1/4,389
B. 728/4,389
Step-by-step explanation:
Total number of flanges = 22
Defective flanges = 6
Non-defective flanges = 16
A. The probability that all in the sample are defective is given by:
![P(d=5)=\frac{6}{22}*\frac{5}{21}*\frac{4}{20}*\frac{3}{19} *\frac{2}{18}\\P(d=5)=\frac{1}{11}*\frac{1}{7}*\frac{1}{1}*\frac{1}{19} *\frac{1}{3}\\P(d=5)=\frac{1}{4,389}](https://tex.z-dn.net/?f=P%28d%3D5%29%3D%5Cfrac%7B6%7D%7B22%7D%2A%5Cfrac%7B5%7D%7B21%7D%2A%5Cfrac%7B4%7D%7B20%7D%2A%5Cfrac%7B3%7D%7B19%7D%20%2A%5Cfrac%7B2%7D%7B18%7D%5C%5CP%28d%3D5%29%3D%5Cfrac%7B1%7D%7B11%7D%2A%5Cfrac%7B1%7D%7B7%7D%2A%5Cfrac%7B1%7D%7B1%7D%2A%5Cfrac%7B1%7D%7B19%7D%20%2A%5Cfrac%7B1%7D%7B3%7D%5C%5CP%28d%3D5%29%3D%5Cfrac%7B1%7D%7B4%2C389%7D)
The probability is 1/4,389.
B. The probability that none in the sample are defective is given by:
![P(d=0)=\frac{16}{22}*\frac{15}{21}*\frac{14}{20}*\frac{13}{19} *\frac{12}{18}\\P(d=0)=\frac{4}{11}*\frac{1}{7}*\frac{7}{1}*\frac{13}{19} *\frac{2}{3}\\P(d=0)=\frac{728}{4,389}](https://tex.z-dn.net/?f=P%28d%3D0%29%3D%5Cfrac%7B16%7D%7B22%7D%2A%5Cfrac%7B15%7D%7B21%7D%2A%5Cfrac%7B14%7D%7B20%7D%2A%5Cfrac%7B13%7D%7B19%7D%20%2A%5Cfrac%7B12%7D%7B18%7D%5C%5CP%28d%3D0%29%3D%5Cfrac%7B4%7D%7B11%7D%2A%5Cfrac%7B1%7D%7B7%7D%2A%5Cfrac%7B7%7D%7B1%7D%2A%5Cfrac%7B13%7D%7B19%7D%20%2A%5Cfrac%7B2%7D%7B3%7D%5C%5CP%28d%3D0%29%3D%5Cfrac%7B728%7D%7B4%2C389%7D)
The probability is 728/4,389.