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choli [55]
3 years ago
10

The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = \frac{total}{count}

Thus for the given 10 numbers we have

\frac{total}{10} = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

\frac{total+x}{11} = - 6 ( multiply both sides by 11 )

total + x = - 66, that is

- 50 + x = - 66 ( add 50 to both sides )

x = - 16

The new number is - 16

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A soccer goal is 24 feet wide. Point A is 40 feet in front of the center of the goal. Point B is 40
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Factor completely 5x2 − 40. 5(x 8)(x − 8) 5(x2 − 8) 5(x 8)(x − 5) prime
yuradex [85]
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4 0
3 years ago
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If 1 is subtracted from the numerator and from
max2010maxim [7]
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Using 70 POINTS NEED YOUR HELP NOT SPAMMERS. To make an ice-cream cone, employees at an ice-cream shop completely fill the cone
san4es73 [151]

<u>Solution for Q1:</u>

Given is the height of ice-cream cone, h = 6 inches.

Given is the diameter of ice-cream cone, d = 2 inches. Then radius of cone would be half of diameter, r = d/2 = 1 inch.

The ice-cream without scoop would be in the shape of cone only. So we need to find the volume of cone.

We know the formula for volume of cone is given as follows :-

Volume = \frac{1}{3} \pi r^{2} h \\\\Volume = \frac{1}{3} \pi (1)^{2} (6) \\\\Volume = \frac{6\pi}{3} = 2\pi = 2(3.14) = 6.28 \;cubic \;inches.

So the volume is 6.28 ≈ 6 in³.

Hence, option A is correct i.e. 6 cubic inches.


<u>Solution for Q2:</u>

A candy is in shape of sphere with diameter, d = 0.25 inches.

Then radius of sphere, r = d/2 = 0.250/2 = 0.125 inches.

The formula for volume of sphere is given as follows :-

Volume = \frac{4}{3} \pi r^{3} \\\\Volume = \frac{4}{3} \pi (0.125)^{3} \\\\Volume = 0.00818123 \;cubic \;inches.

So, volume of one candy = 0.00818123 cubic inches.

There are total 120 candies in the machine.

Total volume of all 120 candies = 120 x 0.00818123 = 0.981748 cubic inches.

Hence, the total volume of all candies in the machine is about 0.982 in³.

8 0
3 years ago
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