The number of strawberries she sells per hour is incorrect
It should be 1500/3 = 500 per hour
Given :
Fran drank 19/20 liter of juice.
1 L = 1.06 qt.
To Find :
How many quarts of juice did she drink.
Solution :
It is given that :
![1 \ L=1.06\ qt\\\\1=\dfrac{1.06\ qt}{L}](https://tex.z-dn.net/?f=1%20%5C%20%20L%3D1.06%5C%20qt%5C%5C%5C%5C1%3D%5Cdfrac%7B1.06%5C%20qt%7D%7BL%7D)
Now, amount of water he drink :
![\dfrac{19}{20}\times 1 \ L\\\\\dfrac{19}{20}\times 1.06\ \dfrac{qt}{L}\times L\\\\\dfrac{19}{20}\times 1.6 \ qt\\\\1.52\ qt](https://tex.z-dn.net/?f=%5Cdfrac%7B19%7D%7B20%7D%5Ctimes%201%20%5C%20L%5C%5C%5C%5C%5Cdfrac%7B19%7D%7B20%7D%5Ctimes%201.06%5C%20%5Cdfrac%7Bqt%7D%7BL%7D%5Ctimes%20L%5C%5C%5C%5C%5Cdfrac%7B19%7D%7B20%7D%5Ctimes%201.6%20%5C%20qt%5C%5C%5C%5C1.52%5C%20qt)
Hence, this is the required solution.
E. II or IV only because it will have different signs if point Q was in either of those quadrants
Solution:
Total Number of marbles in the Bag = 10 red, + 12 green,+ 15 blue,+ 8 red, +12 white, + 7 black= 64 marbles
→Probability of an event =![\frac{\text{Total favorable outcome}}{\text{Total Possible Outcome}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20favorable%20outcome%7D%7D%7B%5Ctext%7BTotal%20Possible%20Outcome%7D%7D)
→Probability of choosing a Red Marble from (64 marble=10 R + 12 G + 15 B+8 r + 12 W + 7 B)=
→Probability of choosing a Green Marble from (64 marble=10 R + 12 G + 15 B+8 r + 12 W + 7 B)=![\frac{_{1}^{12}\textrm{C}}{_{1}^{64}\textrm{C}}=\frac {12}{64}=\frac {3}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B_%7B1%7D%5E%7B12%7D%5Ctextrm%7BC%7D%7D%7B_%7B1%7D%5E%7B64%7D%5Ctextrm%7BC%7D%7D%3D%5Cfrac%20%7B12%7D%7B64%7D%3D%5Cfrac%20%7B3%7D%7B16%7D)
→Probability of choosing a Blue Marble from (64 marble=10 R + 12 G + 15 B+8 r + 12 W + 7 B)=
→Probability of choosing a red of another kind(r) Marble from (64 marble=10 R + 12 G + 15 B+8 r + 12 W + 7 B)=
→Probability of choosing a White Marble from (64 marble=10 R + 12 G + 15 B+8 r + 12 W + 7 B)= ![\frac{_{1}^{12}\textrm{C}}{_{1}^{64}\textrm{C}}=\frac{12}{64}=\frac{3}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B_%7B1%7D%5E%7B12%7D%5Ctextrm%7BC%7D%7D%7B_%7B1%7D%5E%7B64%7D%5Ctextrm%7BC%7D%7D%3D%5Cfrac%7B12%7D%7B64%7D%3D%5Cfrac%7B3%7D%7B16%7D)
→Probability of choosing a Black Marble from (64 marble=10 R + 12 G + 15 B+8 r + 12 W + 7 B)= ![\frac{_{1}^{7}\textrm{C}}{_{1}^{64}\textrm{C}}=\frac{7}{64}](https://tex.z-dn.net/?f=%5Cfrac%7B_%7B1%7D%5E%7B7%7D%5Ctextrm%7BC%7D%7D%7B_%7B1%7D%5E%7B64%7D%5Ctextrm%7BC%7D%7D%3D%5Cfrac%7B7%7D%7B64%7D)
Answer:
P = 0.25
Step-by-step explanation:
![\frac{3}{5} (1+P) = \frac{21}{20}\\1+P = \frac{21(5)}{20(3)} \ \ \ times\ by\ 5\ and\ divide\ by\ 3\ in\ both\ sides\\P + 1 = \frac{7}{4} \\P + 1 = 1.25\\P = 1.25 - 1\ \ \ subtract\ 1\ from\ both\ sides\\P = 0.25](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%281%2BP%29%20%3D%20%5Cfrac%7B21%7D%7B20%7D%5C%5C1%2BP%20%3D%20%5Cfrac%7B21%285%29%7D%7B20%283%29%7D%20%5C%20%5C%20%5C%20times%5C%20by%5C%205%5C%20and%5C%20divide%5C%20by%5C%203%5C%20in%5C%20both%5C%20sides%5C%5CP%20%2B%201%20%3D%20%5Cfrac%7B7%7D%7B4%7D%20%5C%5CP%20%2B%201%20%3D%201.25%5C%5CP%20%3D%201.25%20-%201%5C%20%5C%20%5C%20subtract%5C%201%5C%20from%5C%20both%5C%20sides%5C%5CP%20%3D%200.25)