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Alik [6]
3 years ago
12

Hjhjhjhjhhhhhhhhhhhhhhhjjhkjhjjhhjjkjk

Mathematics
1 answer:
kiruha [24]3 years ago
7 0

Answer:


Step-by-step explanation:


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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
PLEASEEE HELPPPP ASAPPPP
stellarik [79]

\cos 27^{\circ} = \dfrac{KL}x\\\\\implies \cos 27^{\circ} = \dfrac{6.3}x\\\\\implies x = \dfrac{6.3}{\cos 27^{\circ}}=7.1~ \text{units.}

6 0
2 years ago
Evaluate the expression for s = -2.<br> -15s2 - 9-5 + s) =
Fudgin [204]

Answer:

123

Step-by-step explanation:

s=-2

-15s^2-9(-5+s)

=-15s^2+45-9s

=-15s^2-9s+45

=15(-2)^2-9×(-2)+45

=15×4+18+45

=60+18+45

=123

6 0
2 years ago
A series of trade discounts
Inessa05 [86]

they offer a lot of discounts prety much

8 0
3 years ago
Determine if the triangles, PYG and triangle NBH similar. If so, identify the similarity criterion. AA similarity SAS similarity
ladessa [460]

Answer:  B. SAS

Step-by-step explanation: I took the quiz

8 0
2 years ago
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