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Marianna [84]
3 years ago
10

I NEED HELP ASAP. PLEASE TELL ME WHERE I WOULD GRAPH AND WHERE I WOULD SHADE. ALSO IF THE LINE WOULD BE SOLID OR NOT. 20 POINTS

IF YOU DO ALL THAT I ASK

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

The first one is a dashed line and the second one is solid. Two points for the first one is (1,4) and (0,3). For the second one two points are (0,-3) and (1,0). From build the lines. Finally the first one is where y is greater so shade above the line with points like ( 10,10) or (7,8) in the shaded region. For the second one since y is less or equal to shade below the line with points like (-2,-10) or (-1,-5).

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Answer: C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}

P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]

=\dfrac{20\times19\times18\times17\times16\times15\times14\times13!}{7!13!}(0.25)^7(0.75)^{13}\\\\=77520(0.00006103515625)(0.0237572640181)\\\\=0.112406195476\approx0.112

Hence, the probability that you will draw a heart seven times = 0.112

Thus , the correct answer is C) 0.112 .

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