Male Female Total
Income over $50,000 485 385 870
Income below $50,000 65 65 130
<span>Total 550 450 1,000
Probability of being male: 550/1000 = 0.55
Probability of earning over $50,000: 870/1000 = 0.87
0.55 x 0.87 = 0.4785
Probability of being male and earning over $50,000: 485/550 = 0.8818
</span><span>C) No, P(being male | the person earns over $50,000) ≠ P(being male)</span><span>
</span>
5x+3y=58
5x-3y=22
(3y gets cancelled bc 3y-3y=0, then add 5x with 5x, so you're left with)
10x=80, (divide both sides by 10)
x=8
Now we look for y. So choose one formula from the two (let's say 5x + 3y=58)
Substitute x for 8 so it will look like---- 5(8)+3y=58
Multiply 5*8--- so you get -- 40+3y=58
Subtract 40 from both sides and you're left with 3y=18
divide both sides by 3
you get y=6
In conclusion, x=8 and y=6 hence, (8,6)
Answer:
37
Step-by-step explanation:
You have to divide 74 by 2x to get your equation.
The set of integers is not closed under the operation of division because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities
<h3>How to determine the true statement?</h3>
Integers are numbers without decimal points
When integers are divided, the possible results are:
The decimal and the zero possibilities imply that the set of integers is not closed under the operation of division
This is so because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities
Read more about sets at:
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We use the given data above to calculate the volume of gasoline that is being burned per minute by commercial airplanes.
Amount burned of 1 commercial airplane = <span>3.9 × 10³ ml of gasoline per second
Number of airplanes = </span><span>5.1 × 10³ airplanes
We calculate as follows:
</span> 3.9 × 10³ ml of gasoline per second / 1 airplane (5.1 × 10³ airplanes)(60 second / 1 min ) = <span>1.2 x 10^9 mL / min</span>
