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artcher [175]
3 years ago
7

Which decimal represents the fraction below?

Mathematics
2 answers:
Tju [1.3M]3 years ago
8 0
The decimal is .21 FYI
vekshin13 years ago
5 0
The decimal 0.21 or d
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The mean life of a television set is 119 months with a standard deviation of 14 months. If a sample of 74 televisions is randoml
irina [24]

Answer:

50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 119, \sigma = 14, n = 74, s = \frac{14}{\sqrt{74}} = 1.63

If a sample of 74 televisions is randomly selected, what is the probability that the sample mean would differ from the true mean by less than 1.1 months

This is the pvalue of Z when X = 119 + 1.1 = 120.1 subtracted by the pvalue of Z when X = 119 - 1.1 = 117.9. So

X = 120.1

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{120.1 - 119}{1.63}

Z = 0.68

Z = 0.68 has a pvalue of 0.7517

X = 117.9

Z = \frac{X - \mu}{s}

Z = \frac{117.9 - 119}{1.63}

Z = -0.68

Z = -0.68 has a pvalue of 0.2483

0.7517 - 0.2483 = 0.5034

50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

8 0
2 years ago
A substance weighing 961 ounces decays at a rate of 3.2% PER HOUR. What is the weight of the substance after ONE DAY?
kifflom [539]
It would be 961 x (1-3.2(24)) and that would be 961(.232)= 222.952
6 0
2 years ago
Read 2 more answers
The table above shows the weekly salaries and commission of ten salespeople. What is the interquartile range of the data? Usa te
egoroff_w [7]

Answer: A) 150

You put all the numbers in numerical order, than you get the middle number of both halves which will be 300 and 450, so you find the difference of that which is 150

8 0
3 years ago
What is the right answer​
Airida [17]

Answer:

{y≥1

,{y-x>0

Step-by-step explanation:

First of all you have to consider the shaded region. It is bound by two lines.

The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.

the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is

y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0

y=x if we subtract x from both sides we have

y-x=0

since the shaded region is on the upper side as y-x increases the in equality will be

y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.

8 0
3 years ago
When a barrel is one faithful it holds 16 litres how many litres will it hold when half full
Dmitry_Shevchenko [17]

We have no idea how much is one faithful of a barrel.

5 0
3 years ago
Read 2 more answers
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