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4 years ago

What is the product of two odd numbers and a multiple of 2

Mathematics

2 answers:

denis-greek [22]4 years ago

7 0

An odd number is (2x) + 1

An even number is (2x)

These are the definitions.

Using the binomial (2x + 1)(2x + 1), we can see the properties of all products made from odd numbers.

Foiling will give 4x^2 + 4x + 1.

4x^2 is even because 4x^2 can be expressed as 2(2x) x 2(2x).

4x is even because 4x can be expressed as 2(2x)

This means that 4x^2 + 4x is even so the expression 4x^2 + 4x + 1 is odd because an even number + 1 is odd as shown by (2x) + 1.

This shows that every outcome of the product of 2 odd numbers will result being odd.

This means there is no answer to this problem, because any number that is a multiple of 2 is even. (Basically the definition of even)

ASHA 777 [7]4 years ago

5 0

Answer: a number

Explanation: choose the odd numbers and I’ll answer but right now how bout you ask my hood friend google

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From the diagram below, if side DF is 4 cm., side CB would be ______.

kondaur [170]

The measure of CB from the given figure is 8cm

<h3>What is a triangle?</h3>

A triangle is 2 dimensional shape with 3 sides and angles. The types of triangle that we have are;

Equilateral triangle
Scalene triangle
Isosceles

The given triangle is a scalene triangle since none of the sides are equal

From the figure shown, we can see that the measure of DF is equivalent to CE and EB

Since CB = CE + EB

Given the following parameter

DF = 4cm

CE = EB = DF = 4cm

Substitute

CB = 4cm + 4cm

CB = 8cm

Hence the measure of CB from the given figure is 8cm

Learn more on triangles here; brainly.com/question/25215131

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2 years ago

9 years equals how many days

lakkis [162]

3285 days.This is the answer.

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4 years ago

Read 2 more answers

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

Which of the binomials below is a factor of this trinomial x^2+4x-60

trasher [3.6K]

Suppose x-6 is listed as a possible answer. That is zero if x = 6. So put x=6 into the original x^2 + 4x - 60 to get 6^2 + 4*6 - 60 = 36 + 24 -60 = 0. hence x-6 is a factor.

Answer (x-6)

on this hand :x-5 is not a factor, because plugging x=5 into does not work.

6 0

3 years ago

An equation and the steps to solve it are shown below:

Sphinxa [80]

S1: 7x - 4x - 2 = 6 OK
S2: 3x - 2 = 6 OK
S3: 3x - 2 + 2 = 6 WRONG, correct is 3x - 2 + 2 = 6 + 2

Answer: c. Step 3, because a number has been added only to one side of the equation.

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3 years ago