All categories

3 years ago

two different subtraction problems that use only odd numbers for numerators and each have different of 3/4.

Mathematics

1 answer:

Irina18 [472]3 years ago

8 0

Answer:

3/2 - 3/4
5/3 - 11/12
5/4 - 1/2
7/5 - 13/20
5/6 - 1/2
9/7 - 15/28
9/8 - 3/8
9/10 - 3/20
9/11 - 3/44

Step-by-step explanation:

We did a systematic search for subtraction problems of this type, eliminating ones that are too trivial, such as 1/1 - 1/4 and equivalents of those with integers added, such as 3/1 - 9/4. Even so, there are an infinite number of possibilities. some of the ones involving larger numbers in the range we looked at include ...

41/45 - 29/180
41/49 - 17/196
41/53 - 5/212

___

A reasonable approach to doing this by hand seems to be to choose a denominator for the minuend, then a denominator 4 times that value for the subtrahend. Express 3/4 using the latter denominator, and find two numbers that differ by that numerator, one of which is divisible by 4, but not by 8.

<u>Example</u>: Choose 13 as the minuend denominator. Then 52 is the subtrahend denominator, and the difference you need to create is 39/52. The smallest odd number we can add to 39 to make it divisible by 4 but not 8 is 5. So, we can use (39+5)/52 and 5/52 as our numbers that differ by 3/4. In reduced form, that subtraction is ...

11/13 - 5/52

Note that if you choose an even denominator, then the exact procedure will vary depending on what power of 2 is a factor of the denominator.

You might be interested in

The perimeter of the scalene triangle is 54.6 cm.

valina [46]

Are you sure it’s a scalene triangle because if you only know one side and all the other sides are different lengths then it’s impossible to computer unless we know angle measures. It would have to be isoceles or we would need angle measures

5 0

3 years ago

Between what two integers does -√75 lie? To which is the value of -√75closer?

katovenus [111]

-8 and -9 because it is negative

3 0

3 years ago

PLEASE HELP!!<br><br> Solve the equation. Please show your math work step by step. 5x −14=−34

MrMuchimi

Hey

The Answer is -4x

Heres the Step by Step work

You add 14 to each side because it is negative, so

5x-14=-34

+14|+14

and you will end up with

5x=-20

Divide 5 on each side, so

5x=-20

/5x | /5x

-20 / 5x =

x=-4

-4x

mark branliest plz

8 0

3 years ago

Two rectangles, A and B are in proportion in ihe ratio 3 : 5. If the area of Rectangle B is 80 cm?, find the area of Rectangle A

butalik [34]

Answer:

the area of rectangle A is 133.33 sq cm

Step-by-step explanation:

let us suppose area of rectangle A be x....hence we get ,

3:5=80/x

or,3/5=80/x

or,3x=80*5

or,x=400/3

x=133.3.3

7 0

2 years ago

The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.15. If there a

sashaice [31]

Answer:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

$P(X \geq 1)= 1-P(X$

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

$P(X \geq 1)= 1-P(X$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.15)$

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

what is the probability that at least one error made?

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule:

$P(X \geq 1)= 1-P(X$

If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors and at least one error

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

$P(X \geq 1)= 1-P(X$

8 0

3 years ago

two different subtraction problems that use only odd numbers for numerators and each have different of 3/4.​

two different subtraction problems that use only odd numbers for numerators and each have different of 3/4.