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dimaraw [331]
3 years ago
8

2 Solve for k. -8k+ 6 = –10k + 10 k

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0

Answer:

k=2

Step-by-step explanation:

tigry1 [53]3 years ago
4 0

Answer:

k=3/4

Step-by-step explanation:

-8k+6=-10k+10k

-8k+6=0

6=8k

8k=6

k=6/8

k=3/4

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P(allergic) = 0.15

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Binomial probability

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²C₀(0.15)⁰(0.9775)² = 0.9555

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3 years ago
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A contractor records all of the bedroom areas, in square feet, of a five-bedroom house as: 100, 100, 120, 120, 180 What is the v
kifflom [539]
The variance is the total of the squared distances of the given data from the mean. 

This can be calculated through the equation,
        
                            σ² = summation of X² / N  - μ²

where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.

   summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
                          N = 5
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Substituting these values to the equation for variance,
                                 
                              σ² = (81200/5) - 124² = 864

Thus, the variance is equal to 864. 
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Consider the vector add = a + b = [13 12 11 10 10] and sub = a - b = [-11 - 6 - 14 8]. Find the vector a and b.
prisoha [69]

Answer:

a = [1   3   5   7   9] and b = [12   9   6   3   1]

Step-by-step explanation:

The addition of two vectors a and b is defined as

a + b = [13   12   11   10   10]                .... (1)

The subtraction of two vectors a and b is defined as

a - b = [-11   - 6   - 1   4    8]                 .... (2)

After adding (1) and (2), we get

(a + b) + (a - b)= [13   12   11   10   10] + [-11   - 6   - 1   4    8]

On simplification we get

2a = [13-11   12-6   11-1   10+4   10+8]

2a = [2   6   10   14   18]

Divide both sides by 2.

a = [1   3   5   7   9]

Substitute the value of vector a in equation (1).

[1   3   5   7   9] + b = [13   12   11   10   10]

Subtract vector a from both sides.

b = [13   12   11   10   10] - [1   3   5   7   9]

On simplification we get

b = [13-1   12-3   11-5   10-7   10-9]

b = [12   9   6   3   1]

Therefore the vectors a and b are defined as a = [1   3   5   7   9] and b = [12   9   6   3   1].

4 0
3 years ago
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