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Answer:
13 packages.
Step-by-step explanation:
Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:
Smaller rectangle:
Subtract 7 from 9 to find the width:
9 -7 = 2. Therefore:
2 × 2 = 4 ft².
Larger rectangle:
7 × 5 = 35 ft².
Add up the two areas to find the area of the entire figure:
4 + 35 = 39 ft².
If each package of tile covers 3 ft², simply divide to find the package of tiles needed:
39 / 3 = 13 packages.
Answer:13
Step-by-step explanation:
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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The answer is 2^4 + 2 - 3 ^ 9 / 3^ 8 + 3
Answer:
Distributive property.
Step-by-step explanation:
To go from 3(6x + 2) - 4x to 18x + 6 - 4x, you would need to use the distributive property.
When events are independent the probability of one does not depend on the other.
Here the probability of liking peas overall is 39%, but the probability of liking peas if you're male is 42%. That is, the probabilities are not the same, so the events are dependent.
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Comment on answer choices
Selections B and C are both "Dependent," so are correct in that aspect. However, the "reason" given for B has a bogus number (54%) for males liking peas. We have no idea where that number came from. C has the correct reason, so is the appropriate selection.
It is a trinomial with a degree of 3.
It is a trinomial with a degree of 2.
It is a trinomial with a degree of 2.
It is a binomial with a degree of 3.
It is a binomial with a degree of 3.
It is a binomial with a degree of 2.
The correct answer is: "It is a binomial with a degree of 3."
Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
The polynomial -8m³ + 11m is a binomial with a degree of 3.
A polynomial is an expression consisting of variables and coefficients, where the variables are raised to non-negative integer powers and the coefficients are constants.
The degree of a polynomial is the highest power of the variable in the polynomial.
In this case,
The polynomial has two terms, or it is a binomial.
The highest power of "m" in the polynomial is 3, which means that the degree of the polynomial is 3.
Therefore,
The correct answer is: "It is a binomial with a degree of 3."
Learn more about polynomials here:
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Answer:
Binomial with a degree of 3
Step-by-step explanation:
-8m^3 + 11m....notice that it has 2 terms....(-8m^3) and (11m). Having 2 terms makes it a binomial...if it would have had 3 terms, it would have been a trinomial. If it has only one variable, the degree is the highest exponent...so this has a degree of 3 since ^3 is the highest exponent.
so the answer is : binomial with a degree of 3
Answer:
38 units
Step-by-step explanation:
Counting the fully filled as well as more than half filled as 1 unit, but ignoring the less than half field,
Since, there are no half filled,
Area= Number of fully filled+ Number of more than half filled
=38 units