Answer:
❘-12 - 54❘
I hope my answer is correct and helpful.
The answer is B, f(x) = 4x + 4.
If you substitute 2 for x, the resulting answer will be 12, therefore it is correct.
There is a typo error in the last part of the question. The corrected part is-
"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"
Answer:
The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>
Step-by-step explanation:
Given:
Probability of ordering fries is, ![P(F)=0.32](https://tex.z-dn.net/?f=P%28F%29%3D0.32)
Probability of ordering cheese sandwich is, ![P(S)=0.76](https://tex.z-dn.net/?f=P%28S%29%3D0.76)
Probability of ordering both sandwich and fries is, ![P(F\cap S)=0.65](https://tex.z-dn.net/?f=P%28F%5Ccap%20S%29%3D0.65)
Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as
.
Now, using addition theorem of probability, we get:
![P(F\cup S)=P(F)+P(S)-P(F\cap S)\\P(F\cup S)=0.32+0.76-0.65\\P(F\cup S)=0.43](https://tex.z-dn.net/?f=P%28F%5Ccup%20S%29%3DP%28F%29%2BP%28S%29-P%28F%5Ccap%20S%29%5C%5CP%28F%5Ccup%20S%29%3D0.32%2B0.76-0.65%5C%5CP%28F%5Ccup%20S%29%3D0.43)
Therefore, probability of ordering cheese sandwich or fries is 0.43.
Answer:
Total interest will $1800 after 5 years.
Step-by-step explanation:
It is given that the principle amount is $6000.
Rate of interest rate is 6% per annum.
Total interest is $1800.
Formula for simple interest is
![I=\frac{P\times r\times t}{100}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7BP%5Ctimes%20r%5Ctimes%20t%7D%7B100%7D)
Where, P is principle, r is rate of interest in percent and t is time in years.
Substitute P=6000, r=6 and I=1800 in the above formula.
![1800=\frac{6000\times 6\times t}{100}](https://tex.z-dn.net/?f=1800%3D%5Cfrac%7B6000%5Ctimes%206%5Ctimes%20t%7D%7B100%7D)
![1800=\frac{36000t}{100}](https://tex.z-dn.net/?f=1800%3D%5Cfrac%7B36000t%7D%7B100%7D)
![1800=360t](https://tex.z-dn.net/?f=1800%3D360t)
Divide both sides by 360.
![\frac{1800}{360}=t](https://tex.z-dn.net/?f=%5Cfrac%7B1800%7D%7B360%7D%3Dt)
![5=t](https://tex.z-dn.net/?f=5%3Dt)
Therefore the total interest will $1800 after 5 years.