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Harlamova29_29 [7]
3 years ago
15

Sylvanite is a mineral that contains 28.0% gold by mass. Determine how much sylvanite would you need to dig up to obtain 81.0 g

of gold.
Mathematics
1 answer:
lidiya [134]3 years ago
3 0
Since Sylvanite only contains 28% gold by mass, then to obtain 81.0 grams of gold, x amounts of sylvanite must be mined. To determine x, we divide 81 grams by 28%. This equation is shown below:

0.28X = 81

X = 81/0.28
X = 289.29 grams

Therefore, 289.29 grams of sylvanite must be dug up to obtain 81 grams of gold.
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Juli2301 [7.4K]

Answer:

a) P(X =16 ) = 0.1853

b) P(X \leq 12) = 0.0684

Step-by-step explanation:

GIVEN DATA:

n = 16

p = 0.90

from relation given probabllity can be solve

P(X) = ^nC_x * p^x * ( 1 - p)^{n-x}

a)

P(X =16 ) = ^{16}C_{16} * 0.90^x * ( 1 - 0.90)^{16-16}

P(X =16 ) = 0.1853

b) P(X \leq 12) = 1 - P(X \geq 13)

= 1 - [ P(X = 13) +P(X = 14) +P(X = 15) +P(X = 16) ]

= 1 - [ ^{16}C_{13} * 0.90^{13} * (1 - 0.90)^3 +^{16}C_{14} * 0.90^{14} * (1 - 0.90)^2 +^{16}C_{15} * 0.90^{15} * (1 - 0.90)^1 +^{16}C_{16} * 0.90^{16} * (1 - 0.90)^0 ]

= 0.0684

4 0
3 years ago
The table of values represents a quadratic function. What is the average rate of change for f(x) from x = 0 to x = 10 ? Enter yo
Elena-2011 [213]
By definition we have that the average rate of change is given by:
 AVR = (f (x2) - f (x1)) / (x2 - x1)
 Substituting the values we have:
 AVR = (204 - (-6)) / (10 - 0)
 Rewriting we have:
 AVR = (204 + 6) / (10 - 0)
 AVR = 210/10
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 Answer:
 
the average rate of change for f (x) from x = 0 to x = 10 is:
 
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rusak2 [61]
It’s A) simplify it you’ll get -42 because a negative times a positive is an negative
6 0
3 years ago
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What is mean by infinity in maths <br><br>​
Solnce55 [7]

Answer:

The answer has no end and goes on forever.

Step-by-step explanation:

2/3=0.666666.

the answer keeps going

8 0
4 years ago
To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The
kupik [55]

Answer:

The height of the building is 153.664 meter.

Step-by-step explanation:

Consider the provided function.

s(t) = 4.9t^2 + v_0 t + s_0

Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.

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Substitute respective values in the above function.

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As height can't be a negative number so the value of s₀ is 153.664.

Hence, the height of the building is 153.664 meter.

7 0
3 years ago
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