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mylen [45]
3 years ago
5

I literally dont understand this at all please help

Mathematics
1 answer:
wariber [46]3 years ago
5 0
Nobody is going to answer all that for 10 points lol
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There are 15 identical pens in your drawer, nine of which have never been used. On Monday, yourandomly choose 3 pens to take wit
DaniilM [7]

Answer: p = 0.9337

Step-by-step explanation: from the question, we have that

total number of pen (n)= 15

number of pen that has never been used=9

number of pen that has been used = 15 - 9 =6

number of pen choosing on monday = 3

total number of pen choosing on tuesday=3

note that the total number of pen is constant (15) since he returned the pen back .

probability of picking a pen that has never been used on tuesday = 9/15 = 3/5

probability of not picking a pen that has never been used on tuesday = 1-3/5=2/5

probability of picking a pen that has been used on tuesday = 6/15 = 2/5

probability of not picking a pen that has not been used on tuesday= 1- 2/5= 3/5

on tuesday, 3 balls were chosen at random and we need to calculate the probability that none of them has never been used .

we know that

probability of ball that none of the 3 pen has never being used on tuesday = 1 - probability that 3 of the pens has been used on tuesday.

to calculate the probability that 3 of the pen has been used on tuesday, we use the binomial probability distribution

p(x=r) = nCr * p^{r} * q^{n-r}

n= total number of pens=15

r = number of pen chosen on tuesday = 3

p = probability of picking a pen that has never been used on tuesday = 9/15 = 3/5

q = probability of not picking a pen that has never been used on tuesday = 1-3/5=2/5

by slotting in the parameters, we have that

p(x=3) = 15C3 * (\frac{2}{5})^{3} * (\frac{3}{5})^{12}

p(x=3) = 455 * 0.4^{3} * 0.6^{12}

p(x=3) = 455 * 0.064 * 0.002176

p(x=3) = 0.0633

thus probability that 3 of the pens has been used on tuesday. = 0.0633

probability of ball that none of the 3 pen has never being used on tuesday  = 1 - 0.0633 = 0.9337

3 0
3 years ago
A volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model th
yan [13]
I'm pretty sure that It is d
6 0
3 years ago
Marely walked around 2 rectangular parks. One measures 54 feet by 38 feet and the other measures 32 feet by 22 feet.
galben [10]

Answer:

130 feet or 39.6m

Step-by-step explanation:

for Marely's first rectangular park, L=54 and B= 38

Total perimeter of distance walked in first rectangular park is 2(L+B), which is 2(54+38) =184 feet

For Marely's second rectangular park, L= 32 and B=22

Total perimeter of second distance 2(L+B), which is 2(32+22) = 108 feet

Total perimeter covered by Marely = (P1+P2) 184+108 = 292 feet

Marely's brother = 2(L+B)

2(48+33) = 162 feet

Hence, difference is 292-162 = 130 feet or 39.6m

3 0
3 years ago
Make x the subject of the formula <br><br> x/3z = y-2
wlad13 [49]

Answer:

x = 3z(y - 2)

Step-by-step explanation:

Given

\frac{x}{3z} = y - 2 ( multiply both sides by 3z to clear the fraction )

x = 3z(y - 2)

7 0
3 years ago
Chris bought a card for 35¢. He<br> gave the clerk 6 coins. What coins<br> did he give the clerk?
AleksandrR [38]
5 nickels and one dime
8 0
2 years ago
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