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Katarina [22]
2 years ago
9

Here is a list of numbers: 20, 13, 1, 13, 6, 1,8,20,9,18 State the median.

Mathematics
1 answer:
Rzqust [24]2 years ago
7 0

Answer:

6

Step-by-step explanation:

The median is the middle of the data, or the middle number in a given set of numbers.

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6) Solve for x. 2/3 (x + 7) = 10 <br><br> A)22 <br><br> B)8 <br><br> C)- 1 /3 <br><br> D)41/ 3
Amiraneli [1.4K]

For this case we must find the value of the variable "x" of the following equation:

\frac {2} {3} (x + 7) = 10

We multiply by 3 on both sides of the equation:

2 (x + 7) = 30

We divide between 2 on both sides of the equation:

(x + 7) = 15\\x + 7 = 15

We subtract 7 on both sides of the equation:

x = 8

Answer:

Option B

7 0
3 years ago
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( ! <br> ILL GIVE 40 POINTS .
igomit [66]

66° 44 and 70 make 114. 180 minus 114 makes 66

3 0
3 years ago
Plsss helppppppp plsssss
MrRa [10]
Set up an equation of ratios as shown below:

  h        24 ft        4
----- = ---------- = ---
  4          6 ft        1

Cross multiplying the 1st and 3rd fractions, we get h=16 ft (answer)
3 0
3 years ago
A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation
Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an m\times n matrix.  Let T :U\to V  be the corresponding linear transformationover the field F and \theta be identity vector in V. Now if x\in Ker( T)\implies T(x)=\theta.

(1) The kernel of a linear transformation is a vector space : True.

Let x,y\in Ker( T), then,

T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)

hence the kernel is closed under addition.

Let \lambda\in F, x\in Ker( T), then

T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta

\lambda x\in Ker(T) and thus Ket(T) is closed under multiplication

Finally, fore all vectors u\in U,

T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta

\implies \theta\in Ker(T)

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is \mathbb R^m : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in \mathbb R^m

: False

The null space that is dimension of solution space of an m x n matrix is always in \mathbb R^n.

(4) The column space of A is the range of the mapping x\to Ax

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0
3 years ago
In 5 years' time, Kate's father will be 3 times as old as Kate. Four years ago, her father
Brut [27]

Answer: Kate = 40/3  Her father = 50

Step-by-step explanation:

Let Kate's age in the present be K

And Kate's father's age in the present be F

3(K+5) = F+5

6(K-6) = F-6

Rearrange the first equation to get

3K+15 = F+5

3K+10 = F

Substitute that into the second question

6K-36 = 3K+10-6

3K = 40

K = 40/3

So F = 3*40/3+10 = 50

8 0
3 years ago
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