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romanna [79]
3 years ago
5

Events A and B are mutually exclusive. Find the missing probability.

Mathematics
1 answer:
Luden [163]3 years ago
8 0

Answer:

B, 7/20

Step-by-step explanation:

If two events are mutually exclusive that means that there is no intersection

so in the union formula: AUB=A+B-A∩B

A∩B=0

we can write P(a)=x

7/10=7/20+x+0

7/10-7/20=x

x=7/20

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Complete this proof.<br><br> Given: EC AC, DB AC, ∠A = ∠F<br> Prove: ΔMDF ∼ ΔNCA
Gelneren [198K]

Answer:

Proved

Step-by-step explanation:

Given: EC || AC, DB || AC, ∠A = ∠F

Prove: ΔMDF ∼ ΔNCA

Solution

See diagram attached to the solution to better understand the following workings.

Redrawing ΔMDF or rotating to be facing the same direction.

EC is parallel to AC

DB parallel to AC

Using similar triangle theorem:

If ΔMDF ∼ ΔNCA

Ratio of Corresponding sides would be equal

(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)

DF/ CA = MD/NC = FM/AN

∠A = ∠F

∠M = ∠N

∠D = ∠C

Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.

ΔMDF ∼ ΔNCA

6 0
3 years ago
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A farmer has 1,275 seeds. He plants them all in 15 equal rows. A crow comes and eats 5 seeds from each now. How many seeds are l
Eduardwww [97]

Answer:

17 seeds remain

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\frac{1275}{15} = 85

85 / 5 = 17

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2 years ago
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Harry worked 7 hours last week. This is 1__3as many hours as Aidan worked. How many hours did Aidan work?
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Integration of the following function
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Step-by-step explanation:

Given

\frac{\mathrm{d} \bar{c}}{\mathrm{d} x}=-6x^{-2}+\frac{1}{6}

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\int d\bar{c}=\int \left (  -6x^{-2}+\frac{1}{6}\right )dx

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