Answer:
14
Step-by-step explanation:
The base two number one one one zero is equal to one times eight, plus one times four, plus one times two, plus zero times one, which simplifies to fourteen.
Answer:
1.1102 * 10^4
Step-by-step explanation:
11102
= 1.1102 * 10^4
Answer:43.2
Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2
Answer: just had this problem! X = 11
Answer:
At least 75% of healthy adults have body temperatures within 2 standard deviations of 98.28degreesF.
The minimum possible body temperature that is within 2 standard deviation of the mean is 97.02F and the maximum possible body temperature that is within 2 standard deviations of the mean is 99.54F.
Step-by-step explanation:
Chebyshev's theorem states that, for a normally distributed(bell-shaped )variable:
75% of the measures are within 2 standard deviations of the mean
89% of the measures are within 3 standard deviations of the mean.
Using Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 2 standard deviations of the mean?
At least 75% of healthy adults have body temperatures within 2 standard deviations of 98.28degreesF.
Range:
Mean: 98.28
Standard deviation: 0.63
Minimum = 98.28 - 2*0.63 = 97.02F
Maximum = 98.28 + 2*0.63 = 99.54F
The minimum possible body temperature that is within 2 standard deviation of the mean is 97.02F and the maximum possible body temperature that is within 2 standard deviations of the mean is 99.54F.
gas, Write a function d(x), that gives the distance the Escape can travel with x gallons of gas in
the tank.
Given :
Maximum capacity of fuel tank , M = 14 gallon .
It can travel approximately 26 miles with one gallon of gas.
To Find :
A function d(x), that gives the distance the Escape can travel with x gallons of gas in the tank.
Solution :
Car can travel 26 miles in one gallon of gas.
So , distance covered in x gallon of gas :
( Here, 0 ≤ x ≤ 14 ) or x ∈ [ 0 , 14 ] .
Hence , this is the required solution.
Answer:
The minimum sample size needed is . If n is a decimal number, it is rounded up to the next integer. is the standard deviation of the population.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 1.645.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?
A sample of n is needed, and n is found when M = 4. So
The minimum sample size needed is . If n is a decimal number, it is rounded up to the next integer. is the standard deviation of the population.
The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is approximately 0.0668.
A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
The standard deviation of the population is millimeters. The standard error of the sample mean is then
millimeters.
The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is the probability that it falls outside of the interval . We can use the standard normal distribution to approximate this probability.
First, we need to convert the difference between the sample mean and the population means to standard units.
The difference of 1.8 millimeters is :
standard units.
Then, we can use the standard normal distribution to find the probability that the sample mean falls outside of this interval.
This probability is equal to ,
where is the standard normal cumulative distribution function.
Therefore, the required probability is approximately 0.0668.
Learn more about the standard deviation here:
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