Answer:
a^3 + a^2
Step-by-step explanation:
Distribute the term left of each set of parentheses, then combine like terms.
-a²(3a - 5) + 4a(a² - a) =
= -3a^3 + 5a^2 + 4a^3 - 4a^2
= a^3 + a^2
Answer:
x=113º
Step-by-step explanation:
67 + x is a linear pair
they would be supplementary if they were next to each other
the 67º represents the acute angle directly next to xº
so
x+67= 180º
subtract 67º from both sides
180-67=113
x=113º
The linear function showing the cargo ship’s path on the map is given at the image at the end of the answer.
<h3>What is a linear function?</h3>
The slope-intercept representation of a linear function is given by the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are explained as follows:
- m is the slope of the function, representing the change in the output variable y when the input variable x increases by one.
- b is the y-intercept of the function, representing the numeric value of the function when the input variable x assumes a value of 0.
In this problem, the function is given as follows:
y + 20 = -2x.
In slope-intercept format, the function is:
y = -2x - 20.
This means that:
- When the longitude is of 0, the latitude is of 20. (passing through Mali).
- Due to the negative slope, the line is decreasing.
Hence the line is presented on the image given at the end of the answer.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
The probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means is given by,
The information provided is as follows:
Compute the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers as follows:
*Use a <em>z</em>-table.
Thus, the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.
divide 9 by 10. (the numerator and denominator) = 9 / 10 = 0.9
add the 0.9 to the 3 so, 3 + 0.9 = 3.9
answer: 3.9