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3 years ago

Is 43/10 an irrational number or rational number ?

Mathematics

1 answer:

RideAnS [48]3 years ago

5 0

Answer:

Rational

Step-by-step explanation:

The definition of rational is that it can be written as a fraction where the top and bottom are integers (the bottom integer not 0).

43/10 is written in that form since 43 and 10 are both integers.

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Find the directional derivative of g(x, y) = xey − yex , 2x x − y at the point (1, 0) in the direction v = 3i + 4j

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3 years ago

A bag contains 7 apples and 5 oranges. if you select 6 pieces of fruit without looking, how many ways can you get exactly 5 appl

Flauer [41]

[We assume that each piece of apple is identical]

{{{{This part for little more explanation:

There are 12C6 ways that 6 fruits can be taken from the bag

which is equal to

=12!/{(12-6)!*6!}

=(12*11*10*9*8*7*6!) / (6!*6!)

=665280 / (6*5*4*3*2*1)

=924 ways

}}}}}

Your main solution here:

Similarly there are 6C5 ways to get exactly 5 apples out of 6 fruits which is equal to,

=6! / {(6-5)! *5! }

=(6*5!) / (1!*5!)

=6 ways>>>>>>>ANSWER

NOTE: nCx=n! / [(n-x)! *x!] where n=total items and x= no of items choosen

{n is written up in the upper left of C and x is written as Subscript}

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3 years ago

Which of the following could be the measure of the third side of a triangle if one side measures 15 cm and another measures 8 cm

Phoenix [80]

Answer:

12, 17

Step-by-step explanation:

Two sides must add up to a greater sum than that of the remaining side

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2 years ago

A $320 suit is marked down by 10%. Find the sale price. Please help

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3 years ago

Read 2 more answers

The time it takes to completely tune an engine of an automobile follows an exponential distribution with a mean of 40 minutes.

Mazyrski [523]

Answer: a. P (x<30) = 0.5276

b. P (30<x<35) = 0.0555

Step-by-step explanation: An exponential distribution is a distribution of time in which events happens at a constant average rate.

The rate is calculated as

$\lambda=\frac{1}{\mu}$

with μ as the mean.

The probability density distribution for this type of distribution is

$f(x)=\lambda e^{-\lambda x}$

And probability is calculated as

$P(X$

For tuning of an engine, the rate is

$\lambda=\frac{1}{40}$

λ = 0.025

a. Probability of less than 30 minutes:

$P(X$

P (X < 30) = 0.5276

Probability of tuning in 30 minutes or less is 52.76%.

b. Probability of between 30 and 35 can be described as

$P(30$

$P(X$

P (X < 35) = 0.5831

P (X < 30) = 0.5276

Then:

$P(30$

P (30 < X < 35) = 0.0555

Probability of tuning an engine between 30 and 35 minutes is 5.55%.

5 0

2 years ago