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2 years ago

Help with checking my answer

Mathematics

1 answer:

NikAS [45]2 years ago

4 0

Step-by-step explanation:

come on, now, what do you think ?

the only tricky part is here the "or" condition.

again we have thankfully mutually exclusive attributes in the table, which allows us to simply add all numbers in the table for the total number of students.

so, we have

5+4×2×12 = 23 students as total possibilities.

how many of those 23 fulfill the criteria of paying a short or an instrument ?

everybody, who plays a sport is included, of course.

that is 5+2 = 7.

and then, everybody, who plays an instrument.

that is 5+4 = 9.

but careful, we have an overlap now. we cannot simply add both numbers, because there are 5 that play both, but we must not count them twice. they are still single students and pick choices after all.

so, for the desired cases we can only add the 4 from the 5+4 to the first 7 and get 7+4 = 11.

as a check : the complementary number should be the number of students that do not play either : 12.

so, yes, 11 + 12 = 23, and it all fits.

so, the probability to pick a student that plays a sport OR an instrument is

11/23 = 0.47826087...

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garri49 [273]

<h3>Answer: Choice A</h3>

$x^2\left(\sqrt[4]{x^2}\right)$

=====================================================

Explanation:

The fourth root of x is the same as x^(1/4)

I.e,

$\sqrt[4]{x} = x^{1/4}$

The same applies to x^10 as well

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4}$

Multiply the exponents 10 and 1/4 to get 10/4

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4} = x^{10*1/4} = x^{10/4}$

$\sqrt[4]{x^{10}} = x^{10/4}$

-----------------------

If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below

$x^{m/n} = x^a\sqrt[n]{x^b}$

The 'a' and 'b' are found through dividing m/n

m/n = a remainder b

'a' is the quotient, b is the remainder

-----------------------

The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4

m/n = 10/4 = 2 remainder 2

We have a = 2 and b = 2

$x^{m/n} = x^a\sqrt[n]{x^b}$

turns into

$x^{10/4} = x^2\sqrt[4]{x^2}$

which means

$\sqrt[4]{x^{10}} = {x^2} \sqrt[4]{x^2}$

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3 years ago

Change this root into a power.

Nadusha1986 [10]

Answer:

3^2/5

Step-by-step explanation:

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3 years ago

A company is making building blocks. Each building block is a cube and has volume 125/729 ft cubed . How long is each side of th

MariettaO [177]

Answer: The length of each side of the building block is 0.56 feet

Step-by-step explanation:

A company is making building blocks. Each building block is a cube and has volume 125/729 ft cubed . Each of the building blocks has 6 faces which are squares, 8 vertices and 12 edges.

Since a square has all sides to be equal sides,

The volume of the cube = the volume of the building block =

Product of length,L, width, W and height, H.

Volume of the building block = L × W × H

Since length = width = height,

Volume of cube = L^3

From the information given,

Volume of a building block = 125/729ft cubed

L^3 = 125 / 729

Taking cube root of both sides of the equation,

L = cube root of 125/729

L = 5/9

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3 years ago

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Bad White [126]

Answer:A can be use to form a triangle.

Step-by-step explanation:

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SO this is a triangle since if you add A and B together it is greater than C.

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3 years ago

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Answer:

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Step-by-step explanation:

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