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loris [4]
2 years ago
10

The lifetimes of light bulbs of a particular type are normally distributed with a mean of 350 hours and a standard deviation of

6 hours. What percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean?
Mathematics
1 answer:
musickatia [10]2 years ago
5 0

Answer:

By the Empirical Rule, approximately 68% of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

What percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean?

By the Empirical Rule, approximately 68% of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean.

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Jacob drives for 4 hours at 23 miles per hour. how far did he travel?
baherus [9]
This question is actually pretty simple! In one hour, you can go 23 miles. So just multiply 23 by four and you get... 92 miles in four hours!
Hope this helps! Have a great day!
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3 years ago
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Hanukkah is an eight day Jewish cele bration which is observed in November or December, as determined by the Hebrew calendar. On
tatiyna

Answer:

30 feet

Step-by-step explanation:

Interesting question.

  • 1 cubit = 18 inches
  • 20 cubits = x
  • 1/20 = 18/x       Cross multiply
  • x = 20 * 18
  • x = 360 inches.

The maximum height is 360 inches.

  • 1 foot = 12 inches
  • x feet = 360 inches   Cross multiply
  • 12x = 360 * 1
  • 12x/12 = 360/12
  • x = 30

The maximum height reached was 30 feet.


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3 years ago
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The standard form of <br> (6x1)+5x1/100+3x1/1,000
xenn [34]

Answer:

6053x/1000

Step-by-step explanation:

4 0
2 years ago
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Please review the following attachment. Thanks!
vaieri [72.5K]

Answer:

C: I and III only.

Step-by-step explanation:

We have two numbers x and y such that:

-y

And we want to determine which of the following conditions must be true.

First, let's examine the third condition. We have:

y>0

To see if this is true, let's try a negative value for y. So, let's use -7. This will give:

-(-7)

Simplify:

7

This is saying we need a number less than -7 and greater than 7.

This is impossible. So, y <em>must be</em> greater than 0.

Therefore, Condition III must be true.

Next, let's see this compound inequality visually.

Picture the following number-line:

<----------(-y)----------0----------y---------->

Whatever y is, -y is just y on the negative side.

Now, since our condition is that -y<x<y, this means that our x can be anywhere between -y and y. Namely:

<----------(-y)----------0----------y---------->

To determine our correct condition, let's picture x anywhere on the bolded lines. I'm just going to put x here...

<----------(-y)-------(x)--0----------y---------->

Now, remember the alternative definition for absolute value. Namely, the absolute value of x is also the <em>distance</em> from 0 to x. And this distance is always positive.

Since our x is between -y and y, our distance from 0 to x will always be less than the distance from 0 to either y.

Therefore, Condition I is also true.

Let's try an example. Let's let y = 9. So, -y=-9. And let's let x be between 9 and -9, say, -2. So:

<---(-9)-----(-2)--0--------(9)------>

We can see that:

|-2|=2\stackrel{\checkmark}{

Also, this example counters Condition II, as our x can indeed be negative if we desire it.

Algebraically, if we have a negative x such that:  

-y

We can divide everything by -1 to obtain:

y>x>-y

We can flip this to get:

-y

Which is our original inequality. So, Condition II does not need to be true.

So, the two conditions that <em>must</em> be true is I and III.

So, our answer is C.

3 0
3 years ago
Simplify (4.5)(5)(−2).<br><br> 45<br> 4.5<br> −4.5<br> −45
Zina [86]

Answer:

-45

Step-by-step explanation:

(4.5)(5)(-2)=-45

therefore the answer would be the fourth option which is -45

3 0
2 years ago
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