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zzz [600]
2 years ago
6

In a factory that manufactures tires, a machine responsible for molding the tire has a failure rate of 0.2%. If 1,000 tires are

produced in a day, of which 6 are faulty, what is the difference between the experimental probability and the theoretical probability?
Mathematics
1 answer:
REY [17]2 years ago
4 0
It is known that there is a 0.2% failure rate from the machine. This what is considered to be the theoretical probability. In a day, 1000 tires were produced and 6 of them are faulty. That means in percentage form, the calculated experimental probability is 100 x (6/1000) = 0.6%. That means, there is a 0.6% - 0.2% = 0.4%<span> difference. </span>
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The curvature of the Tacoma Narrows Bridge in
8_murik_8 [283]

Answer:

Width of the arch = 105 m

Step-by-step explanation:

Function representing the width of the arch,

f(x) = -0.016(x - 52.5)² + 45

where x = width of the base of the arch or horizontal distance from arch's left end

f(x) = vertical distance of the arch

From the given quadratic function, vertex of the parabola is (52.5, 45).

Coordinates of the vertex represents,

Height of the arch = 45 m

Half of the horizontal distance from the left end = 52.5 m

Therefore, width of the bridge = 2(Half the width of the bridge from left end) = 2×52.5

= 105 m

Therefore, given bridge is 105 m wide.

4 0
2 years ago
EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

7 0
2 years ago
A study determined that the average student who graduates takes 58 months to graduate from college with a bachelor’s degree and
Alona [7]
B is the answer a b c and d is the answer
7 0
2 years ago
James is 612 centimeters tall how many decimeters is this
beks73 [17]
James is 61.2 decimeters
4 0
2 years ago
Read 2 more answers
If 1 japanese yen equals 0.0079 euros, then 1 euro equals approximately how many japanese yen?
Oliga [24]
We know that

<span>applying a rule of three</span>
if <span>1 japanese yen -------------> equals 0.0079 euros
  X </span> japanese yen--------------> 1 euro
x=[1 euro]*[1 japanese yen]/[0.0079 euros]------------> 126.58 japanese yen

the answer is 
126.58 japanese yen
6 0
2 years ago
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