Answer:
D. ft²
Step-by-step explanation:
Scientific notation of a number is expressed in the following form,
Where,
a = decimal number (1 ≤ |a| < 10)
b = the power of 10 whereby the scientific notation is equivalent to the original number.
To express 4,356,000 square feet in scientific notation, do the following:
1. Move the decimal point to the left up to the last non-zero digit = a = 4.356
2. Since we moved the decimal point by 6 decimal places, therefore, b = 6
3. Substitute the values of the variables into
Thus:
4,356,000 = 3. Substitute the values of the variables into
a * 10^b
Thus:
4,356,000 = 4.356 * 10^6
Answer:
Step-by-step explanation:
Whe have the function
To solve this equation we must factor.
To factor, we need to find the points where the function is equal to zero. So we use the quadratic formula
Where:
a = 3
b = -6
c = 2
Then
finally the correct answer is
Answer:
0% probability of getting a mean temperature of 98.2 degrees F or lower.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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.
In this problem, we have that:
Find the probability of getting a mean temperature of 98.2 degrees F or lower.
This is the pvalue of Z when X = 98.2. So
has a pvalue of 0.
So there is a 0% probability of getting a mean temperature of 98.2 degrees F or lower.
The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.
<h3>Find the radius of convergence R and the interval of convergence:</h3>Ratio test is the test that is used to find the convergence of the given power series.
First aₙ is noted and then aₙ₊₁ is noted.
For ∑ aₙ, aₙ and aₙ₊₁ is noted.
= β
Here =
and
=
Now limit is taken,
=
=
=
=
= < 1
- 1 < < 1
- 1 - 2 < x < 1 - 2
- 3 < x < - 1
We get that,
interval of convergence = (-3, -1)
radius of convergence R = 1
Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.
Learn more about radius of convergence here:
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