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2 years ago

Here to you!!!!!!!! now prove it

Mathematics

1 answer:

Andrew [12]2 years ago

7 0

Answer:

teenagers who watch TV =2

teenagers wearing glasses =5

hence probability =2/5=0.4

now you prove how ur answer is 0.5

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Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

2 years ago

2x + 12 = 1/3 (7/3x+4/3)

gladu [14]

Answer:

Step-by-step explanation:

2x + 12 = 1/3 (7/3x+4/3)

$2x+12=\frac{1}{3}*\frac{7x}{3}+\frac{1}{3}*\frac{4}{3}\\\\2x+12=\frac{7x}{9}+\frac{4}{9}\\\\2x-\frac{7x}{9}=\frac{4}{9}-12\\\\\frac{2x*9}{1*9}-\frac{7x}{9}=\frac{4}{9}-\frac{12*9}{1*9}\\\\\frac{18x}{9}-\frac{7x}{9}=\frac{4}{9}-\frac{108}{9}\\\\\frac{18x-7x}{9}=\frac{4-108}{9}\\\\\frac{11x}{9}=\frac{-104}{9}\\\\\\x=\frac{-104*9}{11*9}=\frac{-104}{11}=-9\frac{5}{11}$

8 0

3 years ago

0.33333333333333333333333333333333333333333333333 simplified at a fraction

USPshnik [31]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

Your original number to convert is 0.333333. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 3).

If we do this, we'll get a 3.333333 (slide the decimal in the 0.333333 right 1 places, you'll get 3.333333).

So what? Well now, we have two numbers with the same repeating decimal parts, 3.333333 and 0.333333.

Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x = 0.333333. The number with the decimal point slid over can be called 10x, because 10x = 3.333333

10x = 3.33333

-x = 0.333333 $\frac{10x = 3.33333 -x = 0.333333}{9x = 3}$

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Now, solving 9x=3 for x by dividing both sides of it by 9, we'll get that x=3/9. And this is your answer.

How is this your answer? Well remember that above, x was originally set equal to 0.333333 via x = 0.333333, and now we have that x is also equal to 3/9, so that means 0.333333 = 3/9..and there's 0.333333 written as a fraction.

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<u>Simplify 3/9 into the lowest terms:</u>

$\frac{1}{3}$

4 0

3 years ago

Each bottle of perfume contains 2.1 fluid ounces of perfume. The store sells 30 bottles. How many fluid ounces of perfume did th

arsen [322]

Answer:

Step-by-step explanation:

8 0

2 years ago

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