Answer:
-6
Step-by-step explanation:
Add the positive numbers first which is nine then add a negative like -8 and you get then add -7 which is -6
Answer:
![Rate = 0.2167\ fl\ oz/hour](https://tex.z-dn.net/?f=Rate%20%3D%200.2167%5C%20fl%5C%20oz%2Fhour)
Step-by-step explanation:
Given
![Rate = \frac{91\ fl\ oz}{2.5\ weeks}](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B91%5C%20fl%5C%20oz%7D%7B2.5%5C%20weeks%7D)
Required
Express the rate as per hour
![Rate = \frac{91\ fl\ oz}{2.5\ weeks}](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B91%5C%20fl%5C%20oz%7D%7B2.5%5C%20weeks%7D)
There are 168 hours in a week;
So, the rate becomes
![Rate = \frac{91\ fl\ oz}{2.5 * 168\ hours}](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B91%5C%20fl%5C%20oz%7D%7B2.5%20%2A%20168%5C%20hours%7D)
![Rate = \frac{91\ fl\ oz}{420\ hours}](https://tex.z-dn.net/?f=Rate%20%3D%20%5Cfrac%7B91%5C%20fl%5C%20oz%7D%7B420%5C%20hours%7D)
![Rate = 0.2167\ fl\ oz/hour](https://tex.z-dn.net/?f=Rate%20%3D%200.2167%5C%20fl%5C%20oz%2Fhour)
Hence;
The equivalent of the given rate is ![0.2167\ fl\ oz/hour](https://tex.z-dn.net/?f=0.2167%5C%20fl%5C%20oz%2Fhour)
Step-by-step explanation:
![3 + ( - 2) \ast6 \\ = 3 + ( - 2 \times 6) \\ = 3 + ( - 12) \\ = 3 - 12 = - 9](https://tex.z-dn.net/?f=3%20%2B%20%28%20-%202%29%20%5Cast6%20%5C%5C%20%20%3D%203%20%2B%20%28%20-%202%20%5Ctimes%206%29%20%5C%5C%20%20%3D%203%20%2B%20%28%20-%2012%29%20%5C%5C%20%20%3D%203%20-%2012%20%3D%20%20-%209)
Answer: C) -3
Step-by-step explanation: 4(-3) + 12 = 0
Answer:
Option D.
Step-by-step explanation:
Total number of cards = 52
Total number of cards of each suit (♠, ♣,♦, and ♥) = 13
The probability of getting a card of heart is
![\text{Probability of getting a card of heart}=\frac{\text{Number of heart cards}}{\text{Total number of cards}}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20of%20getting%20a%20card%20of%20heart%7D%3D%5Cfrac%7B%5Ctext%7BNumber%20of%20heart%20cards%7D%7D%7B%5Ctext%7BTotal%20number%20of%20cards%7D%7D)
![\text{Probability of getting a card of heart}=\frac{13}{52}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20of%20getting%20a%20card%20of%20heart%7D%3D%5Cfrac%7B13%7D%7B52%7D)
![\text{Probability of getting a card of heart}=\frac{1}{4}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20of%20getting%20a%20card%20of%20heart%7D%3D%5Cfrac%7B1%7D%7B4%7D)
The probability of getting a card other then heart is
![1-\frac{1}{4}=\frac{3}{4}](https://tex.z-dn.net/?f=1-%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B3%7D%7B4%7D)
If Ming randomly draw a card from the deck 300 times, putting the card back in the deck after each draw, then the number of cards she will draw something other than a heart is
![300\times \frac{3}{4}=225](https://tex.z-dn.net/?f=300%5Ctimes%20%5Cfrac%7B3%7D%7B4%7D%3D225)
Close to 225 times but probably not exactly 225 times.
Therefore, the correct option is D.