we have

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Divide both sides by 

Rewrite as perfect squares

Taking the square roots of both sides (square root property of equality)

Remember that





<u>the answer is</u>
The solutions are


Answer:24,942,060
Step-by-step explanation:
(10,10,4) - (3,2,0) = 7,8,4
7+8+4=19
19!/(7!*8!*4!)= 24'942'060
Answer:
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35
Accuracy of the test of emissions level = 85% = 0.85
2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?
These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:
Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65
Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)
Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:
0.65 * 0.2975 = 0.193375
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place
MARK BRAINLIEST PLS
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PLZ MARK BRAINLIEST</u></em></h2><h2><em><u>
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No, he is not correct for if they washed 37 cars they would have made a total of 296 dollars washing cars. Because this is an inequality, he needs to get a value equal too or greater than 300 dollars on car washes. Also, because he already has 200 dollars collected, you could write the inequality as "8x is greater than or equal to 300".
Start with how much profit they are making off each race entry. People pay $55 to race, but $15 of that is expenses so they are only profiting $40 for each entry. Now write one side of the equality. They start with $10,000 in donations, and then have a $40 profit for each race entry. So 10,000+40x. X will represent the unknown number of race entries. What do we want that expression to be equal to? We want 10000+40x>55000. It can also be greater than or equal to, not just greater than.
Solve for x. Subtract 10000 from each side resulting in 40x>45000. Divide each side by 40 to solve for x. X>1125. X needs to bbe greater than or equal to 1125. If there are 1125 race entries, the charity will profit exactly $55000, so the lowest number of race entries is 1125