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dimaraw [331]
3 years ago
11

Which statement implies that A and B are independent events?

Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

P(A \cap B) = P(A)P(B)

Step-by-step explanation:

Independent events:

If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:

P(A \cap B) = P(A)P(B)

In this question:

The statement is P(A \cap B) = P(A)P(B)

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6 4/11 x2 1/12 Estimate the product
Aleksandr-060686 [28]

Answer:

The estimated product is 12.

Step-by-step explanation:

When rounding fractions, we can round them to 0, 1/2 or 1. 6 4/11 can be rounded to 6 since 4/11 isn't near the half of 11. 2 1/12 can be rounded to 2 since 1/12 is obviously close to 0. 6 x 2 = 12. The estimated product is 12.

7 0
3 years ago
In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,
Anna35 [415]

Answer:

a)  ∠A = 82.2° , ∠C = 62.8° , c =   17.01

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i)</em></u>:-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

<em>By using sine rule </em>

<em></em>\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C}  = 2 R<em></em>

now we will use

\frac{a}{sin A} = \frac{b}{sin B}

\frac{19}{sin A} = \frac{11}{sin 35}

cross multiplication , we get

\frac{19 X sin 35}{11} = sinA

<em>sin A = 0.990</em>

<em>A = sin⁻¹( 0.990) = 82.2°</em>

<em> ∠A = 82.2°</em>

<u><em>Step(ii):-</em></u>

we know that ∠A +∠B +∠C = 180°

                         ∠C = 180° - ∠A -∠B

                          ∠C = 180° -82.2°-35°

                          ∠C = 62.8°

<u><em>Step(iii)</em></u>:-

<em>we will use formula</em>

<em></em>\frac{b}{sin B} = \frac{c}{Sin C}<em></em>

<em></em>\frac{11}{sin 35} = \frac{c}{Sin 62.8}<em></em>

\frac{11 X sin (62.8)}{sin 35} = C

<em>c =   17.01</em>

<u><em>Final answer</em></u>:-

<em> ∠A = 82.2° , ∠C = 62.8° , c =   17.01</em>

                         

4 0
3 years ago
3/4 of x, if x= 15/28<br> PLS HELP!!!
dezoksy [38]

Answer:

45/112

Step-by-step explanation:

if you didnt know, of also means multiply, so just do 3/4 times 15/28, and the answer would be correct

7 0
3 years ago
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Bas_tet [7]

Answer:

y=5

Step-by-step explanation

just sub in for x

Y=10-5

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13x^3-2x^2+3x+13
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3 years ago
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