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2 years ago

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Mathematics

1 answer:

mariarad [96]2 years ago

8 0

Answer:

(d) (x² + y² + z²)³ = 27x²y²z²

Step-by-step explanation:

Use the identity:

a³ + b³ + c³ = 3abc if a + b + c = 0

Substitute as follows:

a = $x^{2/3}$ , b = $y^{2/3}$ , c = $z^{2/3}$

The sum of the cubes is:

x² + y² + z² = 3(xyz) $^{2/3}$

Cube both sides:

(x² + y² + z²)³ = 27x²y²z²

Correct choice is (d)

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Giving the brainliest answer to who can ever help me out!!! need help asap!

V125BC [204]

Answer: I think the answer is B

Step-by-step explanation:

7 0

3 years ago

You are studying the relationship between the history of early childhood trauma (categorized as trauma/no trauma) and weight in

jeka57 [31]

Answer:

You can decide to reject the Null Hypothesis at p < 0.05.

Step-by-step explanation:

In this case, the relationship between the history of early childhood trauma and weight in adulthood are being studied.

The categories of childhood trauma are:

Trauma and No trauma.

So, number of rows is, r = 2.

The categories of weight in adulthood are:

Low to normal, Overweight, and Obese

So, number of columns is, c = 3.

The distribution of the statistic $\chi^{2}$ is chi-square with (r - 1)(c - 1) degrees of freedom, where r represents the number of rows in the two-way table and c represents the number of columns.

Compute the degrees of freedom as follows:

$df = (r-1)(c-1)=(2-1) \times (3-1) = 2$

It is provided that the calculated value of Chi-square test statistic is 18.26.

Compute the p-value of the test as follows:

$p-value=P(\chi^{2}_{2}\geq 18.26)\\=0.000108\\\approx0.00011$

Decision rule:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

The significance level is, α = 0.05.

p-value = 0.00011 < α = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, the complete statement is:

"You can decide to reject the Null Hypothesis at p < 0.05."

4 0

3 years ago

Discrete Math

andrezito [222]

Answer:

Part c: Contained within the explanation

Part b: gcd(1200,560)=80

Part a: q=-6 r=1

Step-by-step explanation:

I will start with c and work my way up:

Part c:

Proof:

We want to shoe that bL=a+c for some integer L given:

bM=a for some integer M and bK=c for some integer K.

If a=bM and c=bK,

then a+c=bM+bK.

a+c=bM+bK

a+c=b(M+K) by factoring using distributive property

Now we have what we wanted to prove since integers are closed under addition. M+K is an integer since M and K are integers.

So L=M+K in bL=a+c.

We have shown b|(a+c) given b|a and b|c.

Part b:

We are going to use Euclidean's Algorithm.

Start with bigger number and see how much smaller number goes into it:

1200=2(560)+80

560=80(7)

This implies the remainder before the remainder is 0 is the greatest common factor of 1200 and 560. So the greatest common factor of 1200 and 560 is 80.

Part a:

Find q and r such that:

-65=q(11)+r

We want to find q and r such that they satisfy the division algorithm.

r is suppose to be a positive integer less than 11.

So q=-6 gives:

-65=(-6)(11)+r

-65=-66+r

So r=1 since r=-65+66.

So q=-6 while r=1.

3 0

3 years ago

Someone please help me fast !!

kvv77 [185]

The second answer is correct.

6 0

3 years ago

Read 2 more answers

What is 40% of 80% i need help with this

myrzilka [38]

Percent means per one-hundred...

(40/100)*(80/100)=3200/10000=32/100=32%

4 0

3 years ago

Read 2 more answers

Please answer this question...No spam​

Please answer this question...No spam