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3 years ago

If m and n are two positive real numbers whose product is 10, what is the minimum value of m + 2n

Mathematics

1 answer:

Burka [1]3 years ago

4 0

If m and n are two positive real numbers whose product is 10, what is the minimum value of m + 2n

2 + 2(4)

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tamaranim1 [39]

Answer:

The function is injective but nor surjective

Step-by-step explanation:

We see that:

f(x) = x³

For any x₁ and x₂ ∈ N,

f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers

It it confirmed one-to-one, hence it is injective

Check the surjectivity:

f(x) = y ∈ N

x³ = y
y = ∛x

Let y = 2, then:

2 = x³
x = ∛2 ∉ N

Since x is not natural, the function is not surjective

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2 years ago

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2 years ago

According to a study conducted in one city, 35% of adults in the city have credit card debts more than $2.000. A simple random s

BabaBlast [244]

Answer:

Binomial; \mu p=87.5, \sigma p=7.542

Step-by-step explanation:

a distribution is said be a binomial distribution iff

The probability of success of that event( let it be p) is same for every trial
each trial should have 2 outcome : p or (1-p) i.e, success or failure only.
there are fixed number of trials (n)
the trials are independent

here, the trials are obviously independent ( because, one person's debt doesn't influence the other person's)

here n=250

the probability of success(0.35) is same for every trial

(35/100=0.35 is the required p here)

$\mu_{p} =n*p=250*\frac{35}{100} =250*0.35=87.5$

[since, the formula for $\mu _{p} =n*p$ ]

$\sigma _{p} =\sqrt{n*(p)*(1-p)} = \sqrt{250*0.35*(1-0.35)} = 7.542 ( approximately)$

[since, the formula for [tex]\sigma _{p} =\sqrt{n*(p)*(1-p)}

therefore, it is Binomial; \mu p=87.5, \sigma p=7.542

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2 years ago

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babunello [35]

Answer: D

Step-by-step explanation:

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3 years ago