The polynomial after simplification is obtained as + 9x + 3.
What issimplification?
In mathematics, reducing an expression, fraction, or problem to a simpler form is referred to as simplification. With calculations and solution, the problem is made simple. Make something simpler by simplifying it.
We are given a polynomial as
5x - 5 + + 4x - + 8
Now, in order to simplify the given polynomial, we will combine the like terms of the polynomial.
On combining the like terms, we get
+ 9x + 3
Hence, the polynomial after simplification is obtained as + 9x + 3.
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The equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).
To dilate the line y = 3x + 5 by a factor of 1/5 with (0,7) as the center of dilation, we can follow these steps:
Shift the line so that the center of dilation is at the origin. To do this, we subtract 7 from the y-intercept of the original line, giving us y = 3x - 2.
Apply the dilation factor to the line. To do this, we multiply the coordinates of each point on the line by 1/5. This gives us the new equation:
y = (3/5)x - (2/5)
Shift the line back to its original position. To do this, we add 7 to the y-intercept of the dilated line, giving us the final equation:
y = (3/5)x + (33/5)
Therefore, the equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).
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Answer:
Different slope of 3
Step-by-step explanation:
Just did it
O False
Answer:
True
Step-by-step explanation:
The skip interval in systematic random sampling is computed by dividing the number of potential sampling units on the list by the desired sample size .
Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval (the sampling interval).
Sampling interval is calculated by dividing the population size by the desired sample size
Answer:
If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:
$8.
Step-by-step explanation:
a) Data and Calculations:
The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)
The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)
The probability for the result to be 6 = 16.67% (100/6 * 1)
Data Table:
Event Probability Value Won
The result is 1 or 2 33.33% $0
The result is 3, 4 or 5 50.00% $4.00
The result is 6 16.67% $36.00
Expected Value:
Event Probability Value Expected Value
The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)
The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)
The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)
Total expected amount of money = $8.00
The expected win from playing the game once is $8. This is calculated by finding the expected value of the winnings, which is the sum of the possible outcomes each multiplied by their probabilities.
This question is asking about the expected amount of money one can win in a game involving a six-sided die. The concept of 'expectation' in probability and statistics refers to the average result of an experiment if it were repeated many times.
In our game, the possible outcomes when you roll the die are $0 (when we roll 1 or 2), $4 (when we roll 3, 4 or 5), and $36 (when we roll a 6). Now, to calculate the expected value, or the expected amount of money one would win in this game, we multiply each possible outcome by their probability and sum them up.
We have a 1/3 chance of winning $0, a 1/2 chance of winning $4, and a 1/6 chance of winning $36. Therefore, the expected value of winnings would be:
(1/3 * $0) + (1/2 * $4) + (1/6 * $36) = $0 + $2 + $6 = $8
Therefore, if you play this game once, the expected amount of money you will win is $8.
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how you know
Answer:
Emma can play for more than one minute.
Step-by-step explanation:
1/4 is the same as 2/8 because 1/4*2=2/8.
2/8 is much smaller than 7/8.
Emma can play for 3 1/2 minutes in total.
your net income would be in each category?
Answer in three complete sentences to explain how much of your income is in each category.
In the 20-60-20 budgeting model, 20% of your net income should go towards saving and investing for the future. 60% should go towards your daily expenses, such as housing, utilities, food, transportation, and healthcare. The remaining 20% can be used for discretionary spending, such as entertainment, dining out, vacations, or any other non-essential expenses.
Given that your net income is $3,750 per month, you should aim to save $750 (20% of $3,750) per month, spend $2,250 (60% of $3,750) on your essential expenses, and have $750 (20% of $3,750) left over for your discretionary spending.
It's important to note that this budgeting model is a general guideline and may not work for everyone. You may need to adjust the percentages based on your personal financial situation, goals, and lifestyle.