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victus00 [196]
3 years ago
12

If P( A or B) = 2/5, P(B)=1/4 and P( A and B) = 1/10 find P(A)

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Answer:

p(a) = -3/20

Step-by-step explanation:

p ( a +b) = p(a)+p(b)

1/10= p(a) +1/4

1/10 - 1/4 = p(a)

p(a) = -3/20

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The eccentricity e of an ellipse is defined as the number c/a, where a is the distance of a vertex from the center and c is the
Anna71 [15]

Answer:

Check below, please.

Step-by-step explanation:

Hi, there!

Since we can describe eccentricity as e=\frac{c}{a}

a) Eccentricity close to 0

An ellipsis with eccentricity whose value is 0, is in fact, a degenerate one almost a circle. An ellipse whose value is close to zero is almost a degenerate circle. The closer the eccentricity comes to zero, the more rounded gets the ellipse just like a circle. (Check picture, please)

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1 \:(Ellipse \:formula)\\a^2=b^2+c^2 \: (Pythagorean\: Theorem)\:a=longer \:axis.\:b=shorter \:axis)\\a^2=b^2+(0)^2 \:(c\:is \:the\: distance \: the\: Foci)\\\\a^2=b^2 \\a=b\: (the \:halves \:of \:each\:axes \:measure \:the \:same)

b) Eccentricity =5

5=\frac{c}{a} \:c=5a

An eccentricity equal to 5 implies that the distance between the Foci has to be five (5) times larger than the half of its longer axis! In this case, there can't be an ellipse since the eccentricity must be between 0 and 1 in other words:

If\:e=\frac{c}{a} \:then\:c>0 , and\: c>0 \:then \:1>e>0

c) Eccentricity close to 1

In this case, the eccentricity close or equal to 1 We must conceive an ellipse whose measure for the half of the longer axis a and the distance between the Foci 'c' they both have the same size.

a=c\\\\a^2=b^2+c^2\:(In \:the\:Pythagorean\:Theorem\: we \:should\:conceive \:b=0)

Then:\\\\a=c\\e=\frac{c}{a}\therefore e=1

7 0
3 years ago
Find an equation of the line through the point (3,2) with a slope of −2.
topjm [15]

Answer:

y=-2x+b

Step-by-step explanation:

Just use the formula y=ax+b, and input -2 as A, and 3, as x, and 2, as y, and then simplify.

3 0
3 years ago
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Which expression is equivalent to (sf)(6)
SashulF [63]

Answer:

(st)(6)= s(6) * t(6)

Step-by-step explanation:

(st)(6)

(st)(x)= s(x) * t(x) we multiply it

(st)(6)= s(6) * t(6)

Hope this helps.

4 0
3 years ago
Make triangles and find the central angle
lubasha [3.4K]

Answer:

Step-by-step explanation:

It 14

3 0
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If a jug is 1/5 full and weighs 250g and 4/5 full and weighs 550g how much does the jug weigh empty
Alika [10]
1/5 full =250g
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550g-250g=300g=3/5 without jug
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<u>The jug weighs 150g empty</u>

6 0
3 years ago
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