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3 years ago

HEL----PPPPpppppppppppppppppppppppppppppp

Mathematics

2 answers:

omeli [17]3 years ago

8 0

Answer:

Step-by-step explanation:

First order from smallest to largest.

70.8, 71.9, 72.1, 82.4, 85.3, 98.1.

Median is the middle number/s.

72.1+82.4/2 so The median is 77.25

Range is the largest number minus the smallest number.

85.3-70.8=14.5

Mode is the most repeated number.

Since there are no repeated numbers there is no mode.

Second question:

Again rearrage: 6, 9, 11, 14, 17

In order to make the median 10 you would have to add another 9 becasue

11+9/2 = 10

Third: remove 6 to make 12 the middle number

Fourth: add all numbers 90+x/6=20 so x has to be 30

Agata [3.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

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Jared made 4 bird houses in 3 days. How many days will it take him to make 28 bird houses.

pogonyaev

4 times 7 = 28

3 times 7 = 21

It will take him 21 days to make 28 bird houses.

6 0

3 years ago

Solve |x| < 13 A. {-13, 13} B. {x| -13< x < 13} C. {x|x < -13, x> 13}

Gemiola [76]

Answer:

the solution for x will be given by {x| -13 < x < 13}

Therefore the correct option is B.

Step-by-step explanation:

i) given that |x| < 13

ii) therefore x < 13 for positive values of x

iii) for negative values of x we have -x < 13

therefore x > -13

iv) from ii) and iii) above we can conclude that the solution for x will be given by {x| -13 < x < 13}

Therefore the correct option is B.

7 0

2 years ago

Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0

vladimir1956 [14]

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.

$2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}$

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

$\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}$

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.

5 0

3 years ago

What is the slope help pls?

vodka [1.7K]

Answer:

up 1 over 7 (1,7) 1 = x and 7 = y

Step-by-step explanation:

0 plus 1 is 1. 1 plus 1 is 2. 2 plus 1 is 3. 3 plus 1 is 4

-6 plus 7 is 1. 1 plus 7 is 8. 8 plus 7 is 15. 15 plus 7 is 22

7 0

2 years ago

The top and bottom margins of a poster 66 cm each, and the side margins are 44 cm each. If the area of the printed material on t

jasenka [17]

Answer:

width: 24 cm
height: 36 cm

Step-by-step explanation:

When margins are involved, the smallest area will be the one that has its dimensions in the same proportion as the margins. If x is the "multiplier", the dimensions of the printed area are ...

(4x)(6x) = 384 cm^2

x^2 = 16 cm^2 . . . . . divide by 24

x = 4 cm

The printed area is 4x by 6x, so is 16 cm by 24 cm. With the margins added, the smallest poster will be ...

24 cm by 36 cm

_____

Comment on margins

It should be obvious that if both side margins are 4 cm, then the width of the poster is 8 cm more than the printed width. Similarly, the 6 cm top and bottom margins make the height of the poster 12 cm more than the height of the printed area.

_____

Alternate solution

Let w represent the width of the printed area. Then the printed height is 384/w, and the total poster area is ...

A = (w+8)(384/w +12) = 384 +12w +3072/w +96

Differentiating with respect to w gives ...

A' = 12 -3072/w^2

Setting this to zero and solving for w gives ...

w = √(3072/12) = 16 . . . . matches above solution.

Generic solution

If we let s and t represent the side and top margins, and we use "a" for the printed area, then the above equation becomes the symbolic equation ...

A = (w +s)(a/w +t)

A' = t - sa/w^2

For A' = 0, ...

w = √(sa/t)

and the height is ...

a/w = a/√(sa/t) = √(ta/s)

Then the ratio of width to height is ...

w/(a/w) = w^2/a = (sa/t)/a

width/height = s/t . . . . . . the premise we started with, above

6 0

3 years ago