All categories

3 years ago

QUICK ON A TIMER!!!

Mathematics

2 answers:

Leno4ka [110]3 years ago

5 0

Answer:

D. 18 + 36y

Step-by-step explanation:

Distributive property

The multiplication of a number by a sum is equal to the sum of the multiplications of that number for each of the addends.

6(3 + 6y) = (6)(3) + (6)(6y)= 18 + 36y

ziro4ka [17]3 years ago

3 0

Answer:

D. 18+36y

Step-by-step explanation:

Because you would simply multiply each of the numbers in the parenthesis by the number outside, to get D.

You might be interested in

A caterpillar moves across the grass at a rate of 423 feet every 7 minutes. How fast does the caterpillar move in feet per minut

bija089 [108]

If it moves 423 feet in 7 minutes, you divide 423 by 7 to see how much it moves per minute, which is Around 60.4 feet per minute

7 0

2 years ago

The line represented by the equation 3x + 5y = 2 has a slope of negative StartFraction 3 Over 5 EndFraction.. Which shows the gr

bekas [8.4K]

Answer:2/5

Step-by-step explanation:

5 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

Is sin(x) even or odd ? prove with examples ?

zloy xaker [14]

Answer:

$\text{sin}(x)$ is an odd function.

Step-by-step explanation:

We are asked to prove whether $\text{sin}(x)$ is even or odd.

We know that a function $f(x)$ is even if $f(x)=f(-x)$ and a function $f(x)$ is odd, when $f(-x)=-f(x)$ .

We also know that an even function is symmetric with respect to y-axis and an odd function is symmetric about the origin.

Upon looking at our attachment, we can see that $\text{sin}(x)$ is symmetric with respect to origin, therefore, $\text{sin}(x)$ is an odd function.

4 0

2 years ago

Read 2 more answers

What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function

g100num [7]

The -4 represents a horizontal translation of 4 units to the right

4 0

3 years ago

Read 2 more answers