Mathematics High School

m and n are given positive integers. how many odd numbers can we get when we multiply kmn given that k is any positive one-digit number?

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Answer 1

Unfortunately, there isn't enough info about m and n.

If either m or n is even, then m*n is even. By extension, k*m*n is always even as well.

This is because even*even = even and even*odd = even.

Some examples:

2*3 = 6

4*8 = 32

So if either m or n (or both) are even, then k*m*n is never odd no matter what you pick for k.

-----------------------------

If both m and n are odd together, then m*n is odd

Example: 3*5 = 15

To ensure that k*m*n is odd, we need to pick odd numbers for k. If k is even, then we fall into the same scenario as the last section.

The odd single digit numbers are {1,3,5,7,9}. We see that there are 5 items in this list. So there are 5 values we can pick for k to have k*m*n be odd. Furthermore, it means there are 5 different odd numbers of the form k*m*n, with k being a single digit number.

Again, this all relies on the assumption that m and n are both odd.

Related Questions

Plesssse help me with this

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i think it’s the fourth one

One condition for performing a hypothesis test is that the observations are independent. Mark is going to take a sample from a population of 400 students.How many students will Marta have to sample without replacement to treat the observations as independent?

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Answer:

Step-by-step explanation:

Given :

The number of the observations in the population is N = 400

There is a [tex]10\%[/tex] rule of assuming the independence.

Now, according to the rule, if we sample without replacement then, any sample of sizes less than or equal to [tex]10\%[/tex] of the population is considered independent.

[tex]10\%[/tex] of population = [tex]10\%[/tex] of 400

[tex]$=\frac{10}{100} \times 400$[/tex]

= 40

Any sample of sizes less than or equal to 40 will be independent for the given population if it is sampled without replacement.

So, the answer is 40.

So, Mark have a sample of 40 students without replacement to treat the observations as independent.

Answer: 40

Step-by-step explanation:

Find the value of x. Round the length to the nearest tenth.

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Answer:

[tex]x=opposite\: side\: of \:22[/tex]

[tex]16=hypotenese[/tex]

[tex]sin22=opp/hyp[/tex]

[tex]sin22=\frac{x}{16}[/tex]

[tex]\Longrightarrow x=16\times sin22[/tex]

[tex]x=5.99[/tex]

[tex]x=6.0[/tex]

[tex]OAmalOHopeO[/tex]

Find the equation of this line.

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Answer:

[tex]y=-\frac{6}{7} x-\frac{10}{7}[/tex]

OAmalOHopeO

SOMEONE HELP PLEASE I NEED ANSWER

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T=55+6w is the equation

at the end of 8 weeks you do
T=55+6x8
which equals 103$

Answer:

T = 55 + 6w and $103

Step-by-step explanation:

We have already saved $55, so that is our constant. We gain $6 per week, so that will be our w value

T = 55 + 6w

Solving for T when w = 8 weeks

T = 55 + 6(8)

T= 55 + 48

T = $103

How do you write 56 and 64 as a prime of its product of its prime factors in expended form and in exponential form

Answers

Answer:

Expanded=2x2x2x7

Exponential=2^3x7

Expanded=2x2x2x2x2x2

Exponential=2^6

Please HELP! ):
The measure of an interior angle of a regular polygon is eight times the measure of one of its exterior angles. How many sides does the polygon have?

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A polygon has 18 sides :)

PLEASE HELP !!!!!!!!!!!!!

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Answer:

the 3rd won for sure

Step-by-step explanation:

hope I helped

Answer:

Step-by-step explanation:

The coordinates are all in (x, y) form.

X is how left or right

y is how tall.

If you just look for the individual coordinates given, you will see that all of the Coordinates in C are on the graph.

I hope this helps!

In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

Answers

Given:

In triangle [tex]ABC, AC=13, BC=84, AB=85[/tex].

To find:

The measure of angle C.

Solution:

Law of Cosines:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]\cos C=\dfrac{BC^2+AC^2-AB^2}{2(BC)(AC)}[/tex]

Substituting the given values, we get

[tex]\cos C=\dfrac{(84)^2+(13)^2-(85)^2}{2(84)(13)}[/tex]

[tex]\cos C=\dfrac{7056+169-7225}{2184}[/tex]

[tex]\cos C=\dfrac{0}{2184}[/tex]

[tex]\cos C=0[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}(0)[/tex]

[tex]C=90^\circ[/tex]

Therefore, the measure of angle C is 90 degrees.

Answer:

eason

Step-by-step explanation:

boy

why did u read this