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3 years ago

Which value is MEAN of the data set?

Mathematics

1 answer:

Fynjy0 [20]3 years ago

3 0

Answer:

Step-by-step explanation:

There is no data set so there is no data to find the mean of.

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What is the area of a triangle that has a base of 10 ft and a height of 5 ft? A-15ft B-7.5ft C-25ft D-50ft

weeeeeb [17]

Answer:

Step-by-step explanation:

formula for triangle is (b*h)/2=A

3 0

3 years ago

Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

4 0

3 years ago

The perimeter of a rectangle is 84 Centimeters. the length is twice the width. find the length and width

KatRina [158]

Length= 28
Width= 14

Work:

2(2x)+2(x)=84
4x+2x=84
6x=84
x=14

14x2=28 (length)

6 0

3 years ago

The model represents an equation. What value of x makes the equation true?

ch4aika [34]

Let's build the equation counting how many x's and 1's are there on each side.

On the left hand side we have 5x's and 8 1's, for a total of $5x+8$

On the left hand side we have 3x's and 10 1's, for a total of $3x+10$

So, the equation we want to solve is

$5x+8 = 3x+10$

Subtract 3x from both sides:

$2x+8 = 10$

Subtract 8 from both sides:

$2x=2$

Divide both sides by 2:

$x=1$

8 0

3 years ago

Use properties of operations to write two equivalent expressions for 13(4 + x).

lesantik [10]

Answer:

13(4+x)

=52+13x

Step-by-step explanation:

13 multiplies the 4 and x.

then 13 multiply 4 is 52 while 13 multiply x 13x.

6 0

2 years ago