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2 years ago

Determine whether the statement is true or false. Give an example,

Mathematics

1 answer:

BigorU [14]2 years ago

7 0

Answer:

false I hope the answer is correct. I will be happy when I get 5 point

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Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9 m (–6, 5)

Marina86 [1]

<h2>Question :</h2>

<em>Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9 m (–6, 5)</em>

<h2>Answer :</h2>

<h2>Explanation :</h2>

y = mx + c

*m = gradien

•>looking for gradients

y=2/3x+9

m1 = 2/3

m2 = -3/2

•>line equation (-6,5)

y - y1 = m(x - x1)

y - 5 = -3/2(x - (-6))

y - 5 = -3/2(x + 6)

y - 5 = -3/2 - 9

y = -3/2x - 9 + 5

y = -3/2x - 4

8 0

2 years ago

4x-y=10 as coordinates with the y as -6

IgorC [24]

Answer:

(1,-6)

Step-by-step explanation:

4x - y = 10

4x -(-6) = 10

4x + 6 = 10

- 6 - 6

4x = 4

/4 /4

x = 1

(x, y) -> (1,-6)

Check your answer:

4x - y = 10

4(1) - (-6) = 10

4 + 6 = 10

10 = 10

This statement is correct

Hope this helps!

6 0

2 years ago

Read 2 more answers

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

4. GIVEN: AC II DB, AC = DB

LUCKY_DIMON [66]

Answer:

khan accademy will help you

Step-by-step explanation:

7 0

2 years ago

The expression c - 0.25 can be used to find th ecost of an item on sale for 25% off. Which expression is equaivalent to c - 0.25

just olya [345]

The Answer is 0.0636 c

6 0

3 years ago