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Alisiya [41]
2 years ago
5

A number, x, rounded to 2 decimal places is 15.38Write down the error interval for x.​

Mathematics
1 answer:
Stels [109]2 years ago
5 0

Answer:

The error interval for x is:

[15.375,15.384]

Step-by-step explanation:

In order to determine the error interval for x, We have to get the all the number which could be rounded off to 15.38.

These number can be listed in order such as:

15.375   15.376   15.377   15.378   15.379   15.380   15.381   15.382   15.383   15.384  

Therefore, the error interval for x is:

[15.375,15.384]

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Answer: 0.7619

Step-by-step explanation:

Given : Mean : \mu=45.0

Standard deviation : \sigma =8.0

Sample size : n=9

We assume that the variable is normally distributed.

The value of z-score is given by :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

a) For x= 46.9 years

z=\dfrac{46.9-45.0}{\dfrac{8}{\sqrt{9}}}=0.7125

The p-value : P(z

Hence, the  probability that the average age of those doctors is less than 46.9 years =0.7619

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2 years ago
The summer camp Jessica attends is four hundred twenty-three and four tenths miles from her home. A detour adds 10 miles to the
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Given that Jessica attends summer camp at a distance of four hundred twenty-three and four tenth mile = 423\frac{4}{10}  = 423 + \frac{4}{10} = 423+0.4 = 423.4 miles

And a detour adds 10 miles to the distance.

That means we need to add 10 miles to the given distance.

So new distance = 423.4 + 10 = 433.4 miles

Hence Jessica needs to travel 433.4 miles for summer camp.

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1 year ago
Jake came in second place in the long jump at his track meet. The winner jumped a distance of 29.18 feet and the person in third
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PLEASE HELP!! laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standa
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Answer:

P = 0.0215 = 2.15%

Step-by-step explanation:

First we need to convert the values of 900 and 975 to standard scores using the equation:

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Where z is the standard value, x is the original value, \mu is the mean and \sigma is the standard deviation. So we have that:

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Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:

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We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:

P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215

So the probability is 0.0215 = 2.15%

8 0
2 years ago
Mahalia is making cloth napkins. She bought fabric that is 12 inches wide and 6 yards long. How much napkins can Mahalia make if
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