Please help me with this !!!
2 answers:
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See the attached figure
See the attached figure.
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The first equation is
4x + 2x²(3x-5) = 4x + 6x³ - 10x² = 6x³ - 10x² + 4x
So, The degree of the function = 3 , and the number of terms = 3
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The second equation is
(-3x⁴ + 5x³ - 12 ) + ( 7x³ - x⁵ + 6 ) = -x⁵ -3x⁴ +12x³ - 6
So, The degree of the function = 5 , and the number of terms = 4
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The third equation is
(3x² - 3)( 3x² + 3) = 9x⁴ - 9
So, The degree of the function = 4 , and the number of terms = 2
See the attached figure.
===================================
The first equation is
4x + 2x²(3x-5) = 4x + 6x³ - 10x² = 6x³ - 10x² + 4x
So, The degree of the function = 3 , and the number of terms = 3
============================================================
The second equation is
(-3x⁴ + 5x³ - 12 ) + ( 7x³ - x⁵ + 6 ) = -x⁵ -3x⁴ +12x³ - 6
So, The degree of the function = 5 , and the number of terms = 4
============================================================
The third equation is
(3x² - 3)( 3x² + 3) = 9x⁴ - 9
So, The degree of the function = 4 , and the number of terms = 2
Answer:
a. A point estimate of the BMI for adults in the United States can be calculated from the sample mean, which has a value M=44.57.
b. The sample standard deviation is s=79.9507.
c. The 95% confidence interval for the BMI of adults in the United States is (26.18, 62.96).
Step-by-step explanation:
We start by calculating the sample mean and standard deviation of the BMI data:
We have to calculate a 95% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=44.57.
The sample size is N=75.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
The degrees of freedom for this sample size are:
The t-value for a 95% confidence interval and 74 degrees of freedom is t=1.993.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the BMI of adults in the United States is (26.18, 62.96).
Answer:
And we can find the following probability:
And the last probability can be founded using the normal standard distribution or excel.
Step-by-step explanation:
For this case we define the random variable X as the ages of vehicles. We know the following info for this variable:
represent the mean
represent the deviation in years
They select a sample size of n=40>30. And they want to find this probability:
Since the sample size is large enough we can use the central limit theorem and the distribution for the sample mean would be:
We can use the z score formula given by:
And if we find the z score for 4 we got:
And we can find the following probability:
And the last probability can be founded using the normal standard distribution or excel.