All outcomes of three children (using G for girl and B for boy)
GGG, GGB,GBG,GBB,BGG,BGB,BBG,BBB
1) exactly two is 3 out of 8 total outcomes, or 3/8
2) all sons is one outcome, or 1/8
Answer:
The answer is the first choice, x < −4.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x−2>4x+6
Step 1: Subtract 4x from both sides.
2x−2−4x>4x+6−4x
−2x−2>6
Step 2: Add 2 to both sides.
−2x−2+2>6+2
−2x>8
Step 3: Divide both sides by -2.
x<−4
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>
Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:
5 / 8 = 12 / (12 + x) = 13 / y
Then, we proceed to solve the system formed by two equations:
(12 + x) / 12 = 8 / 5
12 + x = 96 / 5
x = 96 / 5 - 12
x = 36 / 5
y / 13 = 8 / 5
y = 104 / 5
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
To learn more on right triangles: brainly.com/question/6322314
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Rules for adding: if the bases are the same you can add them, and subtracting happens in a fraction
Answer:
-5^ -1 = 1/(-5) = -1/5
-1/y^(-4) = -(1/(1/y^4)) = -y^4
5^4 x 5^7 = 5^(4 + 7) = 5^11
Hope this helps!
:)
