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3 years ago

If the mean of four numbers 2,4,x, and 6 is 5, then x is...

Mathematics

1 answer:

EleoNora [17]3 years ago

7 0

Answer:

4 numbers, mean of 5.

4x5= 20. so the total of all 4 numbers is 20.

2+4+6= 12

so in order for the total to be 20, the missing number has

to be 8 (20-12=8)

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Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

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Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

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2 years ago

What's the volume of a pipe that's 4 feet in diameter and 24 feet long? (Use π = 3.1416.)

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301.5936 cubic ft

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Formula for the volume of a cylinder is V = pi*r*r*h, where r represents the radius and h represents the height of the cylinder. Since radius is half the length of diameter, the pipe has a radius of 4/2 = 2 ft.

V = pi*r*r*h = 3.1416*2*2*24 = 301.5936 cubic ft

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1 year ago

If the mean of four numbers 2,4,x, and 6 is 5, then x is...​

If the mean of four numbers 2,4,x, and 6 is 5, then x is...