Answer:
A) p(male)=20/30=2/3
b) p(female) = 10/30=1/3
c) p(11th grade) = 12/30=2/5
d) p(12th grade) = 18/30 = 3/5
e) p( girl and in 11th grade) =4/30=2/15
F) p(12 th grade and female) = 6/30 = 1/5
g) p(male and in 12th grade) = 12/30 = 2/5
h) p(male and if we know the student is female) = 0 if we know the student is male then she can't be male again. these are mutuallyinclusive event and they can't occur at once.FOR more details and solutions,clarification and more explanation contact me via my g mail at [email protected] and I will keep in touch....please leave your comment in thisg mail which is my tutor g mail account please.
Jenny has 3 times as many new toys as favorite toys. favorite toys is x in this equation. so 3x new toys as x favorite toys. 4x. if she also has old toys then she has 10 favorite toys. i believe this is the answer.
<h3>
Answer: 42</h3>
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Work Shown:
The two angle bisectors intersect to form the incenter. The incenter is the center of the inscribed circle (aka "incircle"). This circle is the largest possible, but is completely inside the triangle. No portions of the circle spill outside the triangle.
The two segments marked with lengths x+8 and 2x-5 are two radii of the incircle. This is because the sides of the triangle are tangent to the incircle.
Since all radii are the same length, we can set those expressions equal to one another and solve for x
x+8 = 2x-5
x-2x = -5-8
-x = -13
x = 13
This x value then leads to
- x+8 = 13+8 = 21
- 2x-5 = 2*13-5 = 26-5 = 21
Both radii are 21 units long, which helps confirm we have the proper x value. We double the length of the radius ot get the diameter.
So the diameter of the incircle is 2*21 = 42 units long.
Answer:
1/5x - 12 = -7
Step-by-step explanation:
The first thing says 12 less THAN. Normally, when you see something in word problems like "less than" it means you need to switch the places.
So rather than 12 - 1/5, it's 1/5 - 12.
1/5 of a number means you are multiplying that number by 1/5. we'll use x (or any letter really, doesn't matter) to represent the unknown number.
Remember that if a variable and number is written together, it means multiplication.
So, 1/5x - 12 = -7.