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Mazyrski [523]
2 years ago
5

The surface area of this rectangular prism is 34 square centimeters. What is the volume is the width is 1 cm, the length is 2 cm

, and the height is x?
Mathematics
1 answer:
Bezzdna [24]2 years ago
8 0

Answer: 10\ cm^3

Step-by-step explanation:

Given

The surface area of a rectangular prism is 34\ cm^2

Width of prism w=1\ cm

Length of prism l=2\ cm

height of prism h=x\ cm

Surface area is given by

S.A.=2[lw+wh+hl]

Put values

34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm

Now, the volume of Prism is given by

V=l\times w\times h

\Rightarrow V=2\times1\times 5=10\ cm^3

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In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. C
horrorfan [7]

Answer:

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

Step-by-step explanation:

<em>Step(i)</em>:-

<em>Given sample size 'n' =300</em>

Given data  random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.

<em>Given sample proportion </em>

<em>                        </em>p^{-}  = \frac{x}{n} = \frac{182}{300} =0.606

level of significance = 90% or 0.10

Z₀.₁₀ = 1.645

<em>90% confidence interval for the proportion is determined by</em>

(p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} }  , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })

(0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} }  ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })

(0.6066 -  0.0463  ,0.6066 +  0.0463)

(0.5603,0.6529)

<u>final answer</u>:-

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

5 0
3 years ago
The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?
Softa [21]
2n-(n-7)=12
n+7=12
12-7=5
n=5
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3 years ago
hala paid $1,202.17 for the carpet in her living room. The room has an area of 251.5 square feet. what was her unit cost of carp
iris [78.8K]

Answer:

4.78

Step-by-step explanation:

1202.17/251.5 = 4.78

4.78 per unit

7 0
2 years ago
Read 2 more answers
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kati45 [8]
The answer will be 0;7 and 2;112.
5 0
3 years ago
How much fencing does Farmer Gump need?
Agata [3.3K]

For the first field, he will need 40 m for the fence, this will cost £640 and he can have 10 sheep. For the second field, he will need 60 m for the fence, this will cost  £960 and he can have 12 sheep.

<h3>What does this problem require?</h3>

This problem requires you to calculate the perimeter and area of each field and based on this information you can find the total of the fence the farmer requires, the cost, and the number of sheep.

<h3>How to calculate the perimeter?</h3>

You can calculate the perimeter by adding all the sides.

  • Field 1: 10m + 10m + 10m + 10m = 40 m
  • Field 2: 25m + 5m + 25m + 5m = 60 m

<h3>How to calculate the area?</h3>

To calculate the area, multiply the height by the width.

  • Field 1: 10 x 10 = 100m2
  • Field 2: 25 x 5 = 125m2

<h3>How much fencing does the farmer need?</h3>

The fencing needed is equal to the perimeter.

  • Field 1: 40 m of fencing
  • Field 2: 60 m of fencing

<h3>How much will it cost?</h3>

Multiply the number of meters needed by the price per meter ( £16 per meter).

  • Field 1: 40m x  £16 per meter = £640
  • Field 2: 60 m x £16 per meter = £960

<h3>How many sheep can there be in each field?</h3>

To calculate this divide the area into the space required by each sheep (10m2).

  • Field 1: 100m2 / 10m2 = 10 sheep
  • Field 2: 125m2 /10m2 = 12 sheep

Note: This question is incomplete; here is the missing information:

Farmer Gump has two problems. His first problem is to work out how much fencing he needs to buy for his fields so his sheep don’t escape. His second problem is to work out how many sheep each field can hold—each sheep needs a minimum of 10m² of grass!

Sheep cost £65 each.

The fence is £16 per meter.

Learn more about perimeter in: brainly.com/question/6465134

4 0
3 years ago
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