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olya-2409 [2.1K]
3 years ago
9

How do you write: One third of the opposite of a number is less than 12?

Mathematics
1 answer:
Romashka [77]3 years ago
5 0
-1/3n = -12 is the way you write it
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What characterizes a tragic work in literature or drama?
Reptile [31]
Answer : a judgement error
explanation:
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3 years ago
There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the
vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = \frac{\textup{56 + 57 + 58 }}{\textup{3}}

or

Mean = 57

Variance = \frac{\sum{(Data - Mean)^2}}{\textup{n-1}}

or

Variance = \frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}

or

Variance = \frac{1+0+1}{\textup{2}}

or

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = \frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}

or

Mean = 57

Variance = \frac{\sum{(Data - Mean)^2}}{\textup{n-1}}

or

Variance = \frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}

or

Variance = \frac{1+0+1+0}{\textup{3}}

or

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0
2 years ago
Joey works 20 hours a week. If he works for 10 months continually, how many hours will he have worked? (1 month = 4 weeks)
Tcecarenko [31]
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What would be the value of 8 if it were in the thousands
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It would be 8,000 it's simple hope i could help
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3 years ago
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Which special version of the Pythagorean Theorem can you use to find the length of any squares diagonal, d, using only the lengt
EleoNora [17]

The square's diagonal is the triangle's hypotenuse.

The Pythagorean theorem is = a^{2}+b^{2}=c^{2}

Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.

As the side is given 12 inches, so this becomes

12^{2}+12^{2}=d^{2}

144+144=d^{2}

d^{2}=288

d=\sqrt{288}

d=16.97 inches

6 0
3 years ago
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