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Ugo [173]
3 years ago
12

The solutions to the inequality y s 2x - 4 are shaded on the

Mathematics
1 answer:
Maslowich3 years ago
3 0
Y= 2(3) -4
Y= 2

(3,2) is the answer

Hope this helps!
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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

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3 years ago
Plzz helppp
dlinn [17]

Answer:

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Step-by-step explanation:

7 0
3 years ago
5(p - 3) = 63<br> Who ever get this right Cash app 300 dollars to u
lesya [120]

Answer:

oh wait nevermind

8 0
3 years ago
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In a right triangle abc, cd is an altitude, such that ad=bc. Find ac, if ab=3 cm, and cd= square root 2 cm.
Mashcka [7]

      <u>ΔACB</u>                                               <u>ΔCDA</u>

AC² + BC² = AB²                           AD² + CD² = AC²  

          BC² = AB² - AC²                 BC² + CD² = AC²        (AD=BC is given)

                                                                 BC² = AC² - CD²

                         AB² - AC² = AC² - CD²         (both sides were = to BC²)

                         AB² + CD² = 2AC²

                         (3)² + (√2)² = 2AC²            (AB=3 and CD=√2 were given)

                          9  +   2    = 2AC²

                               11        = 2AC²

                                \frac{11}{2}        = AC²

                                \sqrt{\frac{11}{2} }     = AC

                                \frac{11\sqrt{2} }{2}      = AC

7 0
3 years ago
Shaniqua has 12 apples to divide into eating and using in an apple pie. If she puts at least 3 apples in each group, how many di
ANEK [815]

Answer:

4..?

Step-by-step explanation:

4 0
3 years ago
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