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Andrei [34K]
3 years ago
7

Consider the two numerical expressions below. Which one is true and which one is false? (9 1/2) 4 = 81 (4 1/6) 3 = 16

Mathematics
2 answers:
melomori [17]3 years ago
7 0
Both of them are false
crimeas [40]3 years ago
4 0
Do you mean exponents? If so then

<span>(9^1/2)^4 
= 9^(1/2 *4)
= 9^4/2
= 9^2
= 81 ....This is true
---------------------------

</span><span>(4^1/6)^3 
</span>= 4^(1/6 *3)
=4^3/6
=4^1/2
= sqrt (4)
= 2 .......not equal 16 .....so it's false

so answer

(9^1/2)^4  = 81 is true
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4 0
2 years ago
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xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

P(x)=^nC_xp^x(1-p)^{n-x} , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}

P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]

P(x=3)=(4)(0.008)(0.80)=0.0256

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}

P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]

P(x=0)=0.4096

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

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evablogger [386]
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3 0
3 years ago
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Answer:

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Step-by-step explanation:

7x2

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