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3 years ago

What is the GCF? 5x + 25

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

6 0

Answer:

The GCF is 5

Step-by-step explanation:

To find the GCF, divide both terms by 5.

5(x + 5)

So... the GCF is 5

Answer: The GCF is 5

navik [9.2K]3 years ago

5 0

Answer:

Step-by-step explanation:

Since 5x,25 contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for 5x,25:

1. Find the GCF for the numerical part 5,25

2. Find the GCF for the variable part x1

3. Multiply the values together

Find the common factors for the numerical part: 5,25

The factors for 5 are −5,−1, 1,5.

The factors for 25 are −25,−5,−1, 1,5,25.

List all the factors for 5,25 to find the common factors.

5: −5, −1, 1,5

25: −25, −5, −1, 1, 5, 25

The common factors for 5,25 are −5,−1,1,5.−5,−1,1,5

The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors −5,−1,1,5 is 5.

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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

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

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.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

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

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0

3 years ago

Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms. Is she correct. Please explain why

sergiy2304 [10]

Answer:

No, she is not correct

Step-by-step explanation:

Given: Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms

To check: whether she is correct or not.

Solution:

Any two-dimensional figure formed using straight lines is known as a polygon. Triangles, quadrilaterals are examples of polygons.

A parallelogram is a quadrilateral in which opposite sides are parallel.

Kite is a polygon made up of four sides with two pairs of equal sides that are adjacent to each other but it is not a parallelogram as its opposite sides are not parallel.

So, she is not correct.

6 0

3 years ago

A right rectangular prism with dimensions of 2 cm 5 cm and 10 cm is shown.

lions [1.4K]

Answer:

What is the similar in the United States to the Canadian Charter of Rights and Freedoms?

Step-by-step explanation:

Volume= Length x Width x Height

though it does not have a diagram in this situation it does not matter the order you put the numbers in. any way you multiply them you will get the same answer/volume.

10cm x 5cm x 2cm=100cm^3

Hope this helps!

3 0

3 years ago

A triangle has the side lengths of 28 in,4in and31 inches. classify it as acute, obtuse or right

labwork [276]

The answer is obtuse

a = 4
b = 28
c = 31

If a² + b² > c² - the angle is acute
If a² + b² < c² - the angle is obtuse
If a² + b² = c² - the angle is right

a² + b² = 4² + 28² = 16 + 784 = 800
c² = 31² = 961

800 < 900
a² + b² < c²

Therefore, the angle is obtuse

7 0

4 years ago

What is the name of the line that the function approaches?

Kitty [74]

D. asymptote

In the attached graph, the function has two asymptotes, one horizontal (the x-axis) and one vertical (the line x = 2).

7 0

3 years ago