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Ymorist [56]
3 years ago
15

A fish tank that is 5 feet long by 3 feet wide by 3 feet high has a 2 foot cubic stone placed in the bottom how much water will

the tank hold
Mathematics
1 answer:
maks197457 [2]3 years ago
4 0

Answer:

37ft³

Step-by-step explanation:

Volume of the fish tank = length × width × height = 5ft × 3ft × 3ft = 45ft³

Volume of the cubic stone = length × length × length = (2ft)³ = 8ft³

Volume of the water = volume of the fish tank - volume of the cubic stone

i.e Volume of the water = 45ft³ - 8ft³ = 37ft³

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ankoles [38]

Answer:

55

Step-by-step explanation:

62+63=125

180-125=55

4 0
3 years ago
Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard devi
Svetllana [295]

Answer:

Step-by-step explanation:

Given that Heights of 10-year-olds, regardless of gender, closely follow a normal distribution with a mean of 55 inches and a standard deviation of 6 inches.

If X is height then X is N(55,6)

Z score would be \frac{x-55}{6}

a) P(X

b) P(60

c) Tallest 10% z = 1.28

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i.e. 16.37% cannot go on this ride.

7 0
3 years ago
Read 2 more answers
Sharon earns $25 per item she sells plis a base salary of $100 per week. Write and solve an inequality to finfmd how many items
BlackZzzverrR [31]
Equation is 25x + 100 is greater than or equal to 700. First subtract 100 from 700. Then divide 600 by 25 = 24. Sharon must Sell greater than or equal to 24 items
6 0
3 years ago
A farmer wants to build a rectangular pen and then divide it with two interior fences. The total area inside of the pen will be
irina [24]

Answer:

Dimensions of the pen:

x = 11 ft

y = 6 ft

Step-by-step explanation:

Let call "x"  and "y"  dimensions of the rectangular pen  and  x > y, so the interior fences will be equal to y.

The exterior length is 2*x + 2*y and its cost is (2*x + 2*y ) *20.40

The interior fences are 2*y  and its cost is 2*y* 17

Total cost C  = (2*x + 2*y ) *20.40 +  2*y* 17       (1)

Now area inside the pen is 66 ft²  and it is equal to:

A = x*y    ⇒  66 = x*y   ⇒  y = 66/x

Plugging that value in equation (1) will give C as a function of x

C(x) = [ 2*x + 2* (66/x) ]* 20.40  +  2* (66/x) * 17

C(x) = ( 2*x + 132/x ) 20.40  +  2244/x

C(x)  = 40,80*x + 2692.8/x  + 2244/x

C(x) = 40.80*x  + 4936,8/x

Taking derivatives on both sides of the equation we get

C´(x)  = 40.80 - 4936,8/x²

C´(x)  = 0    ⇒   40.80 - 4936,8/x² = 0   ⇒  40.80 *x² = 4936,8

x² =  4936,8 / 40.80    ⇒  x²  = 121  ⇒  x √121

x = 11 ft

And  y = 66/x   ⇒  y  = 66/11    ⇒  y = 6 ft

3 0
4 years ago
Please Help ASAP!
Lynna [10]
First off, you should see whether the data is qualitative or quantitative.

-Quantitative is the number that represents counts or measurements.

-Qualitative (aka Categorical) typically labels or non-numeric entries

So, and example of some qualitative graphs are:
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Some examples of quantitative graphs are:
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-Line Graph: shows the change of something over a period of time
-Histogram: compares the data using frequency intervals, like 1-5, 6-10, etc.
-Scatterplot: shows the correlation of the data
-Stem and Leaf: first number goes in stem, remaining parts of number goes in leaf depending on what the first number it was, and key to help

So if you're trying to link the graph to something in your life, the graph may vary depending on what the data is. If you're going height over the years you've lived, a line graph would be best. It really depends what in your life you are doing, so I hope I provided enough information to help you out. Hope this helps!
7 0
4 years ago
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