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2 years ago

Which set of data has a mean of 21

Mathematics

2 answers:

ElenaW [278]2 years ago

7 0

Step-by-step explanation:

<u>Step 1: Determine a set of data that has a mean of 21</u>

Having a mean of 21 means that the average of the numbers are 21. So we can have a set like {20, 21, 22} that would give us a mean of 21. It really depends on the options that you are given in the problem.

geniusboy [140]2 years ago

6 0

PLEASE include a picture so we can answer!!!

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Simplify: <br> 2⁴ x 10³ <br> (-5)³ x (-2)

Crazy boy [7]

Answer:

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Step-by-step explanation:

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3 years ago

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

navik [9.2K]

Answer:

15.5 because you have to take away some point

Step-by-step explanation:

you can do 15.8 +5.3 and that would make 21 - 15 and makes 6 so you can round 15.8 to 16 and then you subtract to make 10 then you add 5

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3 years ago

Read 2 more answers

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant proportionality that relates the number of cookies

expeople1 [14]

Answer k=16

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

y = kx

Where k is the constant of proportionality.

48 = 3k

k = 16

Therefore the constant of proportionality is 16.

6 0

3 years ago

Factor 6y 2 - 48 + 42y

algol [13]

<h2>Answer:</h2>

The factorization of the given expression is given by:

$6y^2-48+42y=6(y-1)(y+8)$

<h2>Step-by-step explanation:</h2>

To factor a polynomial means to express it as a product of the rational factor of the given expression.

The quadratic expression in terms of the variable y is given by:

$6y^2-48+42y$

It has three terms such that all the three terms are a multiple of 6 , hence we take out common 6 from each term to get the expression as:

$6y^2-48+42y=6(y^2-8+7y)\\\\i.e.\\\\6y^2-48+42y=6(y^2+8y-y-8)\\\\i.e.\\\\6y^2-48+42y=6(y(y+8)-1(y+8))\\\\i.e.\\\\6y^2-48+42y=6(y-1)(y+8)$

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3 years ago

A triangular colourful scenery is made in a wall with sides 50 cm, 50 cm and 80 cm. A golden thread is to hang from the vertex s

gayaneshka [121]

Answer: The required length of the golden thread needed is 30 cm.

Step-by-step explanation: Given that a triangular colorful scenery is made in a wall with sides 50 cm, 50 cm and 80 cm. A golden thread is to hang from the vertex so as to just reach the side 80 cm.

We are to find the length of the golden thread required.

As shown in the attached figure below, ABC is the triangular scenery with sides

AB = AC = 50 cm and BC = 80 cm.

AD is drawn perpendicular to BC, so that AD is the length of the golden thread required to reach side BC with length 80 cm from the vertex A.

Now, since AD ⊥ BC and ΔABC is isosceles (AB = AC), so we must have

D is the midpoint of BC.

That is,

$BD=DC=\dfrac{1}{2}BC=\dfrac{1}{2}\times0=40.$

Now, from the right-angled triangle ABD, we have

$AB^2=BD^2+AD^2\\\\\Rightarrow AD^2=AB^2-BD^2\\\\\Rightarrow AD^2=50^2-40^2\\\\\Rightarrow AD^2=2500-1600\\\\\Rightarrow AD^2=900\\\\\Rightarrow AD=30.$

Thus, the required length of the golden thread needed is 30 cm.

7 0

3 years ago