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3 years ago

What is the factored or of 25y^4 - 4z^2

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

5 0

Answer:

$(5y^2+2z)(5y^2-2z)$

Step-by-step explanation:

Use the difference of squares formula.

$a^2-b^2=(a+b)(a-b)$

$a=5y^2 \\ b=2z$

$(5y^2+2z)(5y^2-2z)$

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PLEASE HELP I NEED IT TO PASS THIS CLASS

andreyandreev [35.5K]

Answer:

Angle 5 = 37°

Angle 8 = 143°

Step-by-step explanation:

Angle 2 = Angle 8

Reason : Alternate exterior angles are equal.

Therefore,

Angle 8 = 143°

Angle 5 + Angle 8 = 180°

Reason : Angle 5 & 8 are in a linear pair.

Angle 5 + 143° = 180°

Angle 5 = ( 180 - 143 )°

Angle 5 = 37°

4 0

3 years ago

Which is a better measure of spread range or interquartile range? Why?

Anvisha [2.4K]

The interquartile range (IQR) is a measure of inconstancy, in light of partitioning an informational collection into quartiles. Quartiles isolate a rank-requested informational collection into four a balance of. The qualities that gap each part are known as the primary, second, and third quartiles; and they are signified by Q1, Q2, and Q3, individually.

Where as, measures of spread portray how comparable or changed the arrangement of watched esteems are for a specific variable (information thing). Measures of spread incorporate the range, quartiles and the interquartile range, difference and standard deviation.

6 0

3 years ago

Read 2 more answers

Apply the distributive property to create an equivalent expression.<br> (3−8y)⋅(−2.5)=

alexgriva [62]

Answer:

-7.5+20y

Step-by-step explanation:

To apply the distributive property, you have to distribute the multiplication of -2.5 to both 3 and -8y.

First, multiply 3 and -2.5 to get -7.5

Then, multiply -8y and -2.5 to get 20y.

Finally, add these values together

5 0

3 years ago

Sophia wants to solve for the side length of b. Which equation could Sophia use to solve for the side length of b, given the

Nataly [62]

Answer:

b² = a² + c² - 2ac cos B

Step-by-step explanation:

The cosine rule can be use when you are given three sides of a triangle and ask to find any angle or when you are given two sides and a included angles(the angle between the two sides given) and ask to find the length of a side.

The equation Sophia can use to solve for the side length(b) of a triangle when given two length and the included angle can be expressed below. Sophia was given two sides and an included angle and was asked to find a side length b.

For sides a, b and c the cosine rule can be represented below

a² = b² + c² - 2bc cos A

b² = a² + c² - 2ac cos B

c² = a² + b² - 2ab cos C

The equation required base on your question is

b² = a² + c² - 2ac cos B

4 0

3 years ago

According to the Centers for Disease Control and Prevention (CDC) , 47% of adults in the United States have hypertension. In a r

harina [27]

The probability that sample the proportion of adults with hypertension is greater than 0.5 is 0.090

<h3>How to determine the probability?</h3>

The given parameters are:

p = 47%

Sample size, n =500

The standard deviation is calculated as:

$\sigma = \sqrt{np(1 - p)$

So, we have:

$\sigma = \sqrt{500 * 47\%(1 - 47\%)$

Evaluate

σ = 11.16

The number of adults with hypertension is calculated as:

x = 500 * 0.5 = 250

And the mean is:

μ = 500 * 0.47 = 235

Start by calculating the z-score

$z = \frac{x - \mu}{\sigma}$

This gives

$z = \frac{250 - 235}{11.16}$

Evaluate

z = 1.34

The probability is then calculated as:

P(z >1.34) = ??

From z table of probabilities, we have:

P(z >1.34) = 0.090

Hence, the probability that sample the proportion of adults with hypertension is greater than 0.5 is 0.090