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photoshop1234 [79]
2 years ago
7

HELP IM DOIN A MATH TEST AND IM STUCK!!!!! Tim knows the volume In bass area of a wooden chest that is in the shape of a rectang

ular prism. If the volume is 5/24 Of a cubic unit and the base area is 1/5 of a square unit, What is the height of the chest?
Mathematics
1 answer:
ki77a [65]2 years ago
7 0

Answer:

Height is 1 1/24 unit.  

Step-by-step explanation:

Given:

volume = 5/24 unit³

base area = 1/5 unit²

Rectangular prism:

volume = length * width * height

base area = length * width

Volume = base area * height

height = volume / base area

h = 5/24 ÷ 1/5

h = 5/24 * 5/1 = 5*5 /24*1 = 25/24 = 1 1/24 unit

(hope this helps can i plz have brainlist :D hehe)

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3 years ago
Large reusable bottles cost $4 more than small ones. Eight large bottles cost $24 less than 12 small ones. How much does one sma
ss7ja [257]
A small bottle costs $14.

To solve the problem, the equation would be this:

 8(4+s)=12s-24

Let <em>s </em>represent a small bottle. Since one large bottle is $4 more than a small one, you would write out <em>(4+s)</em>. Then, multiply it by 8 to find one side of the equation, and get <em>8(4+s)</em>. To write out the right side of the equation, you would write out <em>12s </em>to represent 12 small bottles, and <em />subtract <em />24 from that to represent that 8 large bottles is $24 less than 12 small ones. 

Then, proceed to solve the equation to get the answer of <em>s=14</em>. Because a small bottle is $14, you can check your work by substituting the 14 in replace of <em>s</em>. <em />
5 0
3 years ago
The random variable X has the following probability mass function.X -1 0 2 6 7P(x) 0.3 0.1 0.3 0.2 0.1Answer the next 4 question
olga2289 [7]

Answer:

Step-by-step explanation:

Given that X has the following pdf.

x -1 0 2 6 7 Total

P(X) 0.3 0.1 0.3 0.2 0.1 1

xP(X) -0.3 0 0.6 1.2 0.7 2.2

x^2P(X) 0.3 0 1.2 7.2 4.9 13.6

     

Var(x) 13.6-2.2^2  8.76    

Std dev   2.959729717    

5) P( -1 < X ≤ 2) = P(0)+P(2)\\= 0.1+0.3=0.4

6. Find the cumulative distribution function F(x) and calculate F(3.2) =

x -1 0 2 6 7

P(X) 0.3 0.1 0.3 0.2 0.1

F(x) 0.3 0.4 0.7 0.9 1

F(3.2) = P(X<3.2) = ___F(X<6) = 0.7__________

7. E(X) = ______2.2_____

8. Var(X) = ____8.76______

3 0
3 years ago
A circle has a radius of 3. An Arc in this circle has a central angle of 20 degrees. What is the length of the arc?
Alex

Answer:

Step-by-step explanation:

L=®/3602πr

L=20/360×2×3.14×3

L=1.04

6 0
2 years ago
Hep me on this please
Alona [7]

Answer:

The answer is 2240m².

Step-by-step explanation:

Given that the formula of area of trapezium is A = 1/2×(a+b)×h where a and b represents the length and h is height :

area =  \frac{1}{2}  \times (a + b) \times h

let \: a = 50 \\ let \: b = 90 \\ let \: h = 32

area =  \frac{1}{2}  \times (50 + 90) \times 32

area =  \frac{1}{2}  \times 140 \times 32

area = 70 \times 32

area = 2240 \:  {m}^{2}

5 0
2 years ago
Read 2 more answers
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