I NEED HELP ASAP!!!! PLZZ HELP MEEEE!!!!! Which of the following lists is ordered from least to greatest?

What is the theorem that states a perpendicular line to the hypotenuse splits the triangle into two similar right triangles?

iogann1982 [59]

Answer:Pythagoras

Step-by-step explanation:

5 0

3 years ago

?Write and evaluate the following algebraic expression when the product of 24 and a number Which is the correct expression and p

lara31 [8.8K]

Answer:

24x

Step-by-step explanation:

The product of 24 and a number means that 24 is multiplied by some number. When we use the term "some number" in math, we often use "x" as a representation of that number.

5 0

4 years ago

Which expression is equivalent??? help!

dexar [7]

Answer:

The equivalent expression for the given expression $\sqrt[3]{256x^{10}y^{7} }$ is

$4x^{3} y^{2}(\sqrt[3]{4xy} )$

Step-by-step explanation:

Given:

$\sqrt[3]{256x^{10}y^{7} }$

Solution:

We will see first what is Cube rooting.

$\sqrt[3]{x^{3}} = x$

Law of Indices

$(x^{a})^{b}=x^{a\times b}\\and\\x^{a}x^{b} = x^{a+b}$

Now, applying above property we get

$\sqrt[3]{256x^{10}y^{7} }=\sqrt[3]{(4^{3}\times 4\times (x^{3})^{3}\times x\times (y^{2})^{3}\times y )} \\\\\textrm{Cube Rooting we get}\\\sqrt[3]{256x^{10}y^{7} }= 4\times x^{3}\times y^{2}(\sqrt[3]{4xy}) \\\\\sqrt[3]{256x^{10}y^{7} }= 4x^{3}y^{2}(\sqrt[3]{4xy})$

∴ The equivalent expression for the given expression $\sqrt[3]{256x^{10}y^{7} }$ is

$4x^{3} y^{2}(\sqrt[3]{4xy} )$

5 0

3 years ago

Which of the following is irrational

Temka [501]

Answer:

#4 pi is irrational.

When you calculate pi (3.14...) it goes on forever and it doesn't repeat more than 1 number in a row.

4 0

3 years ago

The distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4 inches. A random sample of 36 a

Licemer1 [7]

Answer:

$P(\bar X >70)= P(Z>\frac{70-69}{\frac{4}{\sqrt{36}}})= P(Z>1.5)$

And for this case we can use the complement rule and the normal standard distribution of excel and we got:

$P(Z>1.5)=1-P(Z,1.5) = 1-0.933=0.0668$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(69,4)$