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3 years ago

Solve the problems A) X/840 = 1/21 B) 14/X = 16/20

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

Answer:

Step-by-step explanation:

A) x/840=1/21

x=(1/21)*840=840/21=40

x=40

------------------

B) 14/x=16/20

simplify 16/20 into 4/5

14/x=4/5

x=14/(4/5)=(14/1)(5/4)=70/4

simplify

x=35/2

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A laboratory animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one

taurus [48]

Answer:

$P= \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]$

Step-by-step explanation:

let a, b and c be the type of foods used in trail.

Example matrix combination for (1,1) is (a,a) is 0.5. Another Example for (1,2) is (a,b) is 0.25.

The diagonals are (a,a), (b,b) and (c,c) which means same food in two trails and its probability is 0.5. the rest would be 0.25

Therefore, stochastic matrix would have 3 by 3 matrix such as (a,a), (a,b) .... (c,c)

$\left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right] \\$

3 0

3 years ago

Determine whether each function is even, odd, or neither. g(x) = |x-3| neither g(x) = x + x² neither

Lelechka [254]

Answer:

So, both the functions are neither even and nor odd.

Step-by-step explanation:

A function is even if g(x) = g(-x) and odd if g(x) = - g(x).

g(x) = |x-3|

g (-x ) = | -x -3 |

So, the function is neither even and nor odd.

g (x) = x + x²

g (- x) = (- x) + (- x) ² = - x + x²

So, the function is neither even and nor odd.

3 0

3 years ago

A dumpster, in the shape of a right rectangular prism, has a length of 10 feet, a width of 5.5 feet, and a height of 4 feet. It

solniwko [45]

Answer:

The weight of the yard waste = 1650 pounds

Step-by-step explanation:

* Lets revise the rule of the volume of the prism

- The rectangular prism has 6 rectangular faces

- Its base shaped a rectangle of dimensions length and width

- The volume of the rectangular prism = Area of its base × its height

∵ Area of the rectangle = length × width

∴ The volume of the prism = length × width × height

* Now lets solve the problem

∵ The length of the rectangular prism = 10 feet

∵ The width of it = 5.5 feet

∵ The height of it = 4 feet

∴ Its volume = 10 × 5.5 × 4 = 220 feet³

- The prism is completely full of yard waste

∴ The volume of the yard waste = the volume of the prism

∴ The volume of the yard waste = 220 feet³

- The average weighs of it is 7.5 pounds/cubic foot

∴ The weight of the yard waste = the average of weight × the volume

∴ The weight of the yard waste = 7.5 × 220 = 1650 pounds

3 0

3 years ago

Help see photo attached

maria [59]

The first pair of statements is the best option. h(0) based on the given equation would be the square root of -3, which is an imaginary number. Also, w(0) should be 0, since if nobody is working on making wrenches, none can be made. This is despite the graph having a value at x = 0.

The second statement in the second pair is false, since 0 is not an imaginary number.

8 0

4 years ago

Does anyone know the answer

morpeh [17]

Answer:

thats pie and pie equals 3.14 what you mean what the question

Step-by-step explanation:

5 0

3 years ago

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