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Mumz [18]
3 years ago
6

Let W= { (x, y, z) |x=1|; y, z ∈ℝ } Prove that W is a subspace of ∈ℝ How can I resolve this ?

Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

W is not a subspace.

Step-by-step explanation:

Notice that (-1,2,2) and (-1,5,3) are both elements of W. Because its x coordinate, x = -1, satisfy the condition |x| = 1.

but (-1,2,2) + (-1,5,3) = (-2,7,5) do not belongs to W. Because its first coordinate, x =-2, do not satisfy |x| = 1.  

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Find the value of the unknown.
Daniel [21]

Answer:

86.5

14 + 8 + 12.5 = 34.5 \:  \: 121 - 34.5 = 86.5

4 0
3 years ago
If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the i
Murljashka [212]

Answer:

<h2>45, 46, 47</h2>

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

138 - n = (n + 1) + (n + 2)

138 - n = n + 1 + n + 2                 <em>combile like terms</em>

138 - n = 2n + 3           <em>subtract 138 from both sides</em>

-n = 2n - 135               <em>subtract 2n from both sides</em>

-3n = -135            <em>divide both sides by (-3)</em>

n = 45

n + 1 = 46

n + 2 = 47

6 0
4 years ago
the total price of 6 movie tickets is 71.40 if each ticket cost the same amount how much does one movie ticket cost
mr Goodwill [35]

Answer:

11.9

Step-by-step explanation:

71.40 divided by 6

7 0
3 years ago
-2(3x+4)&lt;-4+8 solve the inequality
Shtirlitz [24]

Answer:

Inequality: x > -2

Interval Notation: ( -2, ∞)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Anyone who plays or watches sports has heard of the "home field advantage." Teams tend to win more often when they play at home.
AveGali [126]

Answer:

H0 : μ = 0.5

H0 : μ > 0.5

Kindly check explanation

Step-by-step explanation:

H0 : μ = 0.5

H0 : μ > 0.5

We perform a right tailed test :

Sample proportion :

Number of games won, x = 142

Number of games, n = 250

phat = x / n = 142 / 250 = 0.568 = 56.8%

Yes, it is consistent

Test statistic :

(phat - p) * √Phat(1-Phat)/n

1 -Phat = 1 -0.568 = 0.432

(0.568 - 0.5) /√(0.568*0.432)/250

0.068 / 0.0313289

= 2.17

The Pvalue using the z test statistic :

Pvalue = 0.015

α = 0.03

Since ;

Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.

8 0
3 years ago
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