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2 years ago

The first step to solve the equation x/4-3/4=16 is shown below

Mathematics

1 answer:

Sladkaya [172]2 years ago

7 0

Answer:

i think it is A because that seems like the one making the most sense

Step-by-step explanation:

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X^2+43xy+590y^2 resolve into factors

Natalija [7]

Step-by-step explanation:

We have:

x - y = 43 , xy = 15

To find, the value of x^2+y^2x

= ?

∴ x - y = 43

Squaring both sides, we get

(x - y)^2(x−y)

= 43^243

⇒ x^2+y^2x

- 2xy = 1849

Using the algebraic identity,

(a - b)^2(a−b)

= a^2+b^2a

- 2ab

⇒ x^2+y^2x

= 1849 + 2xy

Put xy = 15, we get

x^2+y^2x

= 1849 + 2(15)

⇒ x^2+y^2x

= 1849 + 30

⇒ x^2+y^2x

= 1879

∴ x^2+y^2x

= 1879

I will send hint follow this hint then slove it .

thankyou

7 0

3 years ago

An urn contains 5 white and 10 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What

galina1969 [7]

Answer:

Part A:

The probability that all of the balls selected are white:

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

$P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

Step-by-step explanation:

A is the event all balls are white.

D_i is the dice outcome.

Sine the die is fair:

$P(D_i)=\frac{1}{6}$ for i∈{1,2,3,4,5,6}

In case of 10 black and 5 white balls:

$P(A|D_1)=\frac{5_{C}_1}{15_{C}_1} =\frac{5}{15}=\frac{1}{3}$

$P(A|D_2)=\frac{5_{C}_2}{15_{C}_2} =\frac{10}{105}=\frac{2}{21}$

$P(A|D_3)=\frac{5_{C}_3}{15_{C}_3} =\frac{10}{455}=\frac{2}{91}$

$P(A|D_4)=\frac{5_{C}_4}{15_{C}_4} =\frac{5}{1365}=\frac{1}{273}$

$P(A|D_5)=\frac{5_{C}_5}{15_{C}_5} =\frac{1}{3003}=\frac{1}{3003}$

$P(A|D_6)=\frac{5_{C}_6}{15_{C}_6} =0$

Part A:

The probability that all of the balls selected are white:

$P(A)=\sum^6_{i=1} P(A|D_i)P(D_i)$

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

We have to find $P(D_3|A)$

The data required is calculated above:

$P(D_3|A)=\frac{P(A|D_3)P(D_3)}{P(A)}\\ P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

7 0

2 years ago

You South lanes only cut the triangles be similar

Arada [10]

I dont get what you’re asking ?

5 0

2 years ago

Sin a ______ = 1/2 [ sin ( a + b ) + sin ( a - b) ]

Neko [114]

Answer:

Cos b

Step-by-step explanation:

1/2[sin(a+b)+sin(a-b)]

1/2[sin a cos b +cos a sin b + sin A cos B - cos A sin B]

1/2[2sin a cos b]

sin a cos b

6 0

3 years ago

The ratio of boys to girls in the sixth grade is 2:3. If there are 80 boys, how many are girls? Solve using unit rates.

Aliun [14]

Answer:n 80

Step-by-step explanation:

6 0

2 years ago