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ANEK [815]
3 years ago
15

Steven cut a wire into 5 equal pieces. He started with a wire that was 6.8 meters long. How many meters long was each piece thar

Steven cut?
Mathematics
2 answers:
vfiekz [6]3 years ago
8 0

Answer:

it is 1.36 meters long

Step-by-step explanation:


sineoko [7]3 years ago
4 0
6.8 / 5 = 1.36 meters.
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Find the perimeter of the figure.
gulaghasi [49]

Answer:

27in

Step-by-step explanation:

So, perimeter means we add all the sides together, as opposed to area, where we multiply them together.

9 - 5 = 4.

So the perimeter of the triangle would be:

3+4+\sqrt{3^2+4^2}=12

5 + 5 + 4 +1 (the 1 is from 4 -3) = 15

15 + 12 = 27

6 0
3 years ago
SHALL GIVE BRAINLIEST ANSWER!! A ​40% solution of fertilizer is to be mixed with an ​80% solution of fertilizer in order to get
sdas [7]

Answer:

20 gallons of the 40% solution, 60 gallons of the 80% solution

Step-by-step explanation:

Let x = the gallons of the 40% solution, and y = the gallons of a 80% solution. The first thing we want to do here is to convert each percentage into decimal form - including the ​70% solution mixture.

40% = 0.40,

80% = 0.80, respectively 70% = 0.70

As you can tell, 0.40 is associated with x gallons, 0.80 is associated with y gallons, and the mixture contains 0.70 * 80 solution, as 0.70 is associated with 80. Therefore we can formulate the following expression,

0.40x + 0.80y = 0.70 * 80

At the same time x + y = 80, as the solution ( mixture ) is present with 80 gallons. Isolating x, x = 80 - y. Let us plug that into our expression, solving for y, following by x gallons.

0.40\left(\:80\:-\:y\:\right)\:+\:0.80y\:=\:0.70\:\cdot \:80

0.4\left(80-y\right)+0.8y=56 ( Multiply either side by 10 )

4\left(80-y\right)+8y=560 ( Expand )

320-4y+8y=560

320+4y=560

4y=240

y = \frac{240}{4} = 60 ( Substitute to solve for x )

x = 80 - y = 80 - 60 = 20

As you can see there are 20 gallons of the 40% solution, and 60 gallons of the 80% solution.

3 0
3 years ago
(3 points) Blades of grass Suppose that the heights of blades of grass are Normally distributed and independent, with each heigh
NemiM [27]

The final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

What is the normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

If x follows a normal distribution with mean μ and standard deviation σ then the distribution of

\sum_{i =1}^{n}x_{i}  follows an approximately normal distribution with a mean n\mu and standard deviation \sqrt{n }\sigma

let x be the height of blades of grass

x follows normal distribution with mean = μ = 4 and standard deviation = σ = 0.75.

Y = x1 + x2 +...........+x10

Y = \sum_{i =1}^{10}x_{i}

Distribution of Y is normal with,

Mean = \mu _{y}=10*4 = 40 and standard deviation = \sigma _{y}=\sqrt{10}*0.75 = 2.3717

a)

P( Y < 42.5 )

Using normal distribution formmula,

f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}

=NORMDIST( x, mean, SD , 1 )      

=NORMDIST(42.5, 40, 2.3717, 1 )

=0.8541

P( Y < 42.5 )  = 0.8541

b)

P( 39.5 < Y < 40.5 ) = P( Y < 40.5 ) - P( Y < 39.5 )

Using normal distribution formmula,

f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}

P( Y < 40.5 )  =NORMDIST(40.5, 40, 2.3717, 1 ) = 0.5835

P( Y < 39.5 ) = NORMDIST(39.5, 40, 2.3717, 1 ) = 0.4165

P( 39.5 < Y < 40.5 ) = 0.5835 - 0.4165  = 0.1670

P( 39.5 < Y < 40.5 ) = 0.1670

Hence, the final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

To learn more about the normal distribution visit,

brainly.com/question/4079902

#SPJ4

5 0
1 year ago
a gallon jug of milk is 3/4 full. After breakfast the jug is 1/12 full. Find the difference of the amounts before breakfast and
Marrrta [24]

they drunk 2/3 because 3/4=9/12-8/12=1/12 and 8/12 is equal to 2/3 so 2/3 is your answer. Hope this helps!

8 0
3 years ago
Read 2 more answers
Find the area of the rhombus.<br> 15in<br> 8in<br> 15in<br> 8in<br> a=[?]in^2
katrin2010 [14]

Answer:

the answer would he the letter b

7 0
2 years ago
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