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Diano4ka-milaya [45]
3 years ago
7

The length of a rectangle is eight more than it’s width the perimeter is 48 inches what are the length and width?

Mathematics
1 answer:
sergey [27]3 years ago
3 0

48 = x + x + x + 8 + x + 8

48 = 4x + 16

32 = 4x

x = 8

length = 16

width = 8

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A typical human stomach can hold up to 4 cups of food. Write an inequality to represent how many cups of food a stomach can hold
Ede4ka [16]
5cups \= 4 cups

5 represents the amount of food held in the stomach and 4 represents the amount of food that can be held in the stomach
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Please solve <br> 5x+3x-2x=
pashok25 [27]

Answer:

hope it help you

Step-by-step explanation:

5x + 3x - 2x \\ 8x - 2x \\ 6x

7 0
2 years ago
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Given that circumference of a circle is 44m. Calculate it's area​
dimaraw [331]

Answer:

Area=154.062 m^{2}

Step-by-step explanation:

As Circumference of a circle is given by;

C=2\times \pi\times r

As the circumference is 44m so we can calculate the value of r by using the above formula.

44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m

Now to Calculate the Area of a Circle.

As the area of a circle is,

Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}

3 0
2 years ago
Mai had 5 candy bars she ate half of one candy bar and dicided to distribute the remaining bars between her two sisters and her
gogolik [260]

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

So there are five candy bars.

Herself and two sisters equals 3 people in total.

This is a graph of 5 candy bars, each line being 1/2.

━ ━

━ ━

━ ━

━ ━

━ ━

If she ate half of one... the graph would become this.

━ ━

━ ━

━ ━

━ ━

━

Now there are 9 halves. You need to split the 9 halves for 3 people. 9 divided by 3 is 3.

Each person gets 3 halves, or 1 and 1 half.

Mai: ━ ━ ━

Sister 1: ━ ━ ━

Sister 2: ━ ━ ━

Altogether that is 9 halves, AKA the number of halves Mai had after she ate 1/2.

The amount Mai ate in the first place: ━

9 halves plus 1 half, equals 10 halves. Each whole has 2 halves. 10 divided by 2 is 5, AKA the number of candy bars she had in the first place.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

7 0
3 years ago
It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo
BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{p(1-p)}{n} }

=>   \sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }

=>   \sigma  = 0.02612

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )

    P(X < 0.03) =  P( Z  < -2.297 )

From the z-table  

     P( Z  < -2.297 ) = 0.01

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

4 0
3 years ago
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