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3 years ago

Need help with this asap. This question confuses me

Mathematics

1 answer:

Softa [21]3 years ago

7 0

Answer:

<HKJ = 90

<FKG = 42

<FKJ = 138

<IKJ = 42

<FKH = 132

<GKI = 138

Step-by-Step :

<GKH , <HKI , and <IKJ all make up a line. A line is 180 degrees.

90 + 48 = 138 180 - 138 = 42 <IKJ = 42

<FKG is a vertical angle to <IKJ. Vertical angles are congruent.

<FKG = 42

<FKG and <FKJ make up a line. A line is 180 degrees.

180 - 42 = 138 <FKJ = 138

Hope this helps.

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Which of the following sets of numbers could represent the three sides of a triangle?

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⚪ The sum of the measures of the interior angles of a triangle in Euclidean space is always 180 degrees

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2 years ago

En un polinomio P(x,y), homogéneo y completo en "x" e "y", la suma de los grados absolutos de todos sus términos es 420. ¿Cuál e

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Answer:

the degree of homogeneity is 20.

Step-by-step explanation:

In a polynomial P (x, y), homogeneous and complete in "x" and "y", the sum of the absolute degrees of all its terms is 420. What is its degree of homogeneity?

A homogeneous polynomial is one in which all monomials have the same degree.

This is an example of a homogeneous polynomial of degree 4 (the degree of all monomials is 4):

x ^ 4 + 3x ^ 3y + 2x ^ 2y ^ 2 + xy ^ 3 + 8y ^ 4.

As you can see, the sum of the exponents of the variables x, y in each monomial is 4.

And the number of terms is 5, that is, it is the degree of homogeneity plus 1.

In relation to the sum of the absolute degrees of all monomials or terms it will be: 4 + 4 + 4 + 4 + 4 = 4 * 5 = 20.

In general, you can say that the sum of the absolute degrees in a homogeneous polynomial will be the degree of each monomial by the number of terms = degree * (degree + 1)

Calling n, the degree of our polynomial, it must be fulfilled:

n (n + 1) = 420

=> n ^ 2 + n = 420

=> n ^ 2 + n - 420 = 0

Factoring:

(n + 21) (n - 20) = 0

=> n = -21 and n = 20.

Only the positive value makes sense, therefore n = 20.

In other words, the polynomial is of the form (excluding the coefficients):

x ^ 20 + x ^ 19 y + x ^ 18 y ^ 2 + x ^ 17 y ^ 3 + .... x ^ 3 y ^ 17 + x ^ 2y ^ 18 + xy ^ 19 + y ^ 20

That polynomial has 21 terms.

So the sum of the degrees will be 20 * 21 = 420, as required in the statement.

Therefore, the degree of homogeneity is 20.

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3 years ago

The p-value for a one-sided test of the population proportion is 0.0513. Which of

uysha [10]

Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows.

For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.

For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.

For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.

In all cases, a higher test statistic leads to a lower p-value, and vice-versa.

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The equation is given by:

$t = \frac{\overline{X} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

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s is the standard deviation.

n is the sample size.

From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease, and the p-value would increase.

You can learn more about p-values at brainly.com/question/26454209

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2 years ago

Need help with this asap. This question confuses me​

Need help with this asap. This question confuses me