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Feliz [49]
3 years ago
5

Wires manufactured for use in a computer system are specified to have resistances between 0.14 and 0.16 ohms. The actual measure

d resistances of the wires produced by company A have a normal probability distribution with mean 0.15 ohm and standard deviation 0.005 ohm. (Round your answers to four decimal places.) (a) What is the probability that a randomly selected wire from company A's production will meet the specifications
Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0

Answer:

Hence the probability that a randomly selected wire from company A's production will meet the specifications is 0.95455.

Step-by-step explanation:

a)P(0.14 < x < 0.16 ) = P[(0.14 - 0.15)/ 0.005) < (x - \mu) /\sigma  < (0.16 - 0.15) / 0.005) ]

=P(0.14 < x < 0.16 ) = P[(0.14 - 0.15)/ 0.005)< ((x - 0.15) /0.005) < (0.16 - 0.15) / 0.005) ]

=P(z  

Using z table,  

= 0.9773 - 0.02275  

= 0.95455.

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Answer: A.
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3 years ago
What are examples of nonstatistical question
posledela

Answer:

The type of questions that has only one answer.

Step-by-step explanation:

example:

What time did Katy wake up? Did you eat lunch?

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How many years in a month
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Answer:  There are  12 months in one 1 year

Step-by-step explanation:

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3 years ago
A bacterial culture grows exponentially according to the function n(t)=n(e^n), where n(t) is the quantity after t hours and n is
mart [117]

Answer:

n(t=2) = 2 e^{1.386294361(2)}=32 grams

So then after 2 hours we will have 32 grams.

Step-by-step explanation:

For this case we have the followin exponential model:

n(t) = n e^{rt}

n(t) is the quantity after t hours, n is the original quantityand t represent the hours and r the rate constant.

For this case we know that n(0) = 2 grams and n(3) = 128 grams and we want to find n(2)=?

From the initial condition we know that n = 2, and we have the model like this:

n(t) = 2 e^{rt}

Now if we apply the other conditionn(3) = 128 we got:

128 = 2 e^{3r}

If we divide both sides by 2 we got:

64= e^{3r}

If we apply natural log for both sides we got:

ln(64) = 3r

r = \frac{ln(64)}{3}=1.386294361

And our model is this one:

n(t) = 2 e^{1.386294361t}

And if we replace t = 2 hours we got:

n(t=2) = 2 e^{1.386294361(2)}=32 grams

So then after 2 hours we will have 32 grams.

5 0
3 years ago
An artist is mapping out proposed new features for a triangular reflecting pool. She sketches the pool on grid paper. The coordi
xeze [42]

Answer:

<em>C. (7, 0)</em>

Step-by-step explanation:

<u>Circumcenter of a Triangle</u>

The circumcenter is a point where all the tangent lines of the midpoints of the three sides meet.

The coordinates of the vertices of the pool are (3, 3), (11, 3), and (3, −3). Please refer to the image below where the three midpoints are also shown. Since the triangle is right and two of its sides are parallel to the x-axis and the y-axis, the coordinates of the midpoints are very easy to find

Midpoint of (3, 3), (11, 3)=([3+11]/2,[3+3]/2)=(7,3)

Midpoint of (3,3), (3,-3) =([3+3]/2,[3-3]/2)=(3,0)

The intersection of both lines (shown in red) is the point (7,0) which is also the midpoint of (3,-3), (11,3). Thus this point is where all the midpoints meet.

Answer: C. (7, 0)

8 0
3 years ago
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