Answer:
C) 0.179
Step-by-step explanation:
Since the trials are independent, this is a binomial distribution:
<u>Recall:</u>
- Binomial Distribution -->
denotes the probability of 
successes in 
independent trials
denotes the probability of success on each of trials
denotes the probability of failure on the remaining 
trials
denotes all possible ways to choose things out of things
<u>Given:</u>
<u>Calculate:</u>
Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179
let's firstly convert the mixed fractions to improper fractions, and then use the LCD, which in this case is 4, to sum them up.
![\bf \stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}~\hfill \stackrel{mixed}{4\frac{3}{4}}\implies \cfrac{4\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{19}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{13}{4}+\cfrac{19}{4}\implies \stackrel{\textit{using the LCD of 4}}{\cfrac{13+19}{4}}\implies \cfrac{32}{4}\implies 8](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B4%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B19%7D%7B4%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ccfrac%7B13%7D%7B4%7D%2B%5Ccfrac%7B19%7D%7B4%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Busing%20the%20LCD%20of%204%7D%7D%7B%5Ccfrac%7B13%2B19%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B32%7D%7B4%7D%5Cimplies%208)
Answer:
x=27
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x−5)=3x+7
Step 1: Simplify both sides of the equation.
4(x−5)=3x+7
(4)(x)+(4)(−5)=3x+7(Distribute)
4x+−20=3x+7
4x−20=3x+7
Step 2: Subtract 3x from both sides.
4x−20−3x=3x+7−3x
x−20=7
Step 3: Add 20 to both sides.
x−20+20=7+20
x=27
Answer:
x=27
Quick Market. I multiplied $1.05 x 2 and got...$2.10 for 6 apples because 3 x 2 is 6. And also at Stop and Save is the same apples for $2.45 but only 5 apples. so Quick Market
