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Mandarinka [93]
3 years ago
13

A cable car can safely carry n people thete are alreafy 3/4n people on the cable car only 12 more people can board the cable car

before it becomes unsafe. How many people can the cable car safely carry
Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer: 48 people.

Step-by-step explanation:

1. You know that n represents tha number of people that the cable car can safely carry.

2. If you know that there are \frac{3}{4}n and only 12 more people can board it before it becomes unsafe, you can write the following expression:

n=\frac{3}{4}n+12

3. Now, you must solve for n.

4. Then, the number of people that the cable car safely carry is:

n-\frac{3}{4}n=12\\\frac{1}{4}n=12\\n=12*4\\n=48

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Wires manufactured for use in a computer system are specified to have resistances between .12 and .14 ohms. The actual measured
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b) 0.9999366

Step-by-step explanation:

Given : The actual measured resistances of wires produced by company A have a normal probability distribution with mean \mu=0.13 ohm and standard deviation s=0.005 ohm.

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Let x be the random variable that represents the value of resistance in wires.

Using formula for z-score , z=\dfrac{x-\mu}{s}

The z-value at x= 0.12 will be

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z=\dfrac{0.14-0.13}{0.005}=2

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b) Sample size : n= 4

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The z-value at x= 0.12 will be

z=\dfrac{0.12-0.13}{\dfrac{.005}{\sqrt{4}}}=-4

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3 years ago
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