A tile expert is creating a design for a bathroom floor. He needs 6-sided

Write an algebraic expression to model the unknown number problem.

Morgarella [4.7K]

Answer:

A. You can replace ‘a number’ with a variable to represent an unknown value.

C. Product means the result of multiplying two numbers.

D. The coefficient is 15.

E. In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.

Step-by-step explanation:

EDGE 2020

5 0

3 years ago

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What do they call the international, hula hoops championship?<br> Its for a math worksheet

lapo4ka [179]

They call it the Whirl Series ^.^

7 0

3 years ago

Factorize the Expression 81w^2 - 36wz + 4z^2

andre [41]

Answer:

( 9w - 2z)^2

Step-by-step explanation:

81w^2 - 36wz + 4z^2

Rewriting as

(9w)^2 - 2 * 9 w 2z + (2z)^2

We recognize that this is a perfect square binomial

a^2 -2ab + b^2 is a perfect square binomial because it factors to (a - b)^2

let a = 9w b = 2z

81w^2 - 36wz + 4z^2 = ( 9w - 2z)^2

7 0

3 years ago

Geometry Help needed 25 points

Arada [10]

W is in the lower left corner located at (-1,-2)

W' is in the upper left corner located at (-2,1)

Notice that the original Y value (-2) became the new X value (-2) and the original X value (-1) is the inverse of the new Y value (1).

If you look at the coordinates of the other two pints you would see it was the same transformation.

When the X and Y coordinates switch like this, it is a 90 degree clockwise rotation around the origin.

4 0

3 years ago

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production grou

krok68 [10]

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: $H_0: \mu = 12$

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

$H_a: \mu \neq 12$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that $\mu = 12$

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that $n = 15, X = 12.05, \sigma = 0.08$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}$

$z = 2.42$

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

6 0

2 years ago