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hoa [83]
3 years ago
8

Suppose that the distribution is bell-shaped. If approximately 99.7% of the lifetimes lie between 568 hours and 1066 hours, then

the approximate value of the standard deviation for the distribution, according to the empirical rule, is .
Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

\sigma =\frac{478}{6}=79.667

Step-by-step explanation:

The empirical rule, also referred to as "the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)". The empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

And on this case since we are within 3 deviations (because we have 99.7% of the data between 568 and 1066hours), the result obtained using the z score agrees with the empirical rule.  

So on this case we can find the standard deviation on this ways:

\mu -3\sigma = 568     (1)

\mu +3\sigma = 1066   (2)

If we subtract conditions (2) and (1) we got:

1066-588 =\mu +3\sigma -\mu +3\sigma

478= 6\sigma

\sigma =\frac{478}{6}=79.667

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ohaa [14]

Answer: Hello!

In this problem you can chose 3 options:

the type of cone, the first flavour, and the second flavour.

a) In how many different ways can your order one cone and two scoops of ice cream?

You have 5 options for cones, 9 options for the first ball of ice cream, and 9 options for the second ball of ice cream (because you can repeat flavour) then the total number of combinations is the product of this 3 numbers, this is:

5*9*9 = 405 combinations

b) Here we cant order the same flavour of ice cream, then:

we still have 5 options for cones, 9 options for the first ball of ice cream, and this time 8 options for the second ball ( because we need to remove the flavour that we picked in the first ball of ice cream) then the number of combinations is:

5*9*8 = 360 combinations.

6 0
3 years ago
Divide 3584 by 28 and please explain
kakasveta [241]

Answer:

3584 \div 28 \\  \\  = 128

our post which explains the division of three thousand, five hundred and eighty-four by twenty-eight to you.

The number 3584 is called the numerator or dividend, and the number 28 is called the denominator or divisor.

The quotient of 3584 and 28, the ratio of 3584 and 28, as well as the fraction of 3584 and 28 all mean (almost) the same:

3584 divided by 28, often written as 3584/28.

Read on to find the result of 3584 divided by 28 in decimal notation, along with its properties

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 3584 divided by 28 = 128 R 0

The quotient (integer division) of 3584/28 equals 128; the remainder (“left over”) is 0.

3584 is the dividend, and 28 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of three thousand, five hundred and eighty-four over twenty-eight, followed by the summary of our information.

6 0
3 years ago
An Indian tepee is a conical tent. Find the number of cubic feet of air in a teepee 10 ft. in diameter and 12 ft. high.
vampirchik [111]
Surface Area of a cone is 

<span>pi * r * s + pi * r^2 </span>

<span>s is the side length, since you have 10 ft diameter, you know radius is 5. And since height is 12. With this, you have a 5-12-13 triangle, and s=13. </span>

<span>so </span>

<span>pi * 5 * 14 + pi * 5^2 = 95 pi or 298.3 </span>

<span>divide 298.3 by 15 and you get 19.88, you round up, so 20 is the answer </span>
5 0
3 years ago
Jamie is investing $47,000 in an account paying 9.26% interest compounded continuously. What will Jamie's account balance be in
frutty [35]

Answer:

7398740

Step-by-step explanation:

17*9.26=157.42

please give me brainliest

47,000 *157.42

7398740

5 0
3 years ago
heather has divided $6300 between two invesments, one paying 9%, the other paying 4%. If the return on her investment is $372, h
Ganezh [65]
Assuming that the two investments are  X & Y
X + Y = 6300
X = 6300 - Y                                       (1)

9/100X + 4/100 Y = 372                       (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400

I hope this is helpful 



6 0
3 years ago
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