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3 years ago

What's the result for p=2(a+b) for b

1 answer:

4 0

p = 2 (a + b) Use the Distributive Property
p = 2a + 2b Subtract 2a from both sides
p - 2a = 2b Divide both sides by 2
$\frac{p - 2a}{2}$ = b Switch the sides to make it easier to read
b = <span> $\frac{p - 2a}{2}$ </span>

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14/3 = ? please answer i don't understand

vredina [299]

14/3=4 2/3 14 can go into 3 four times with a remainder of 2. Happy to help

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4 years ago

Read 2 more answers

The integers $r$ and $k$ are randomly selected, where $-3 < r < 6$ and $1 < k < 8$. what is the probability that the

e-lub [12.9K]

Denote by $R,K$ the random variables representing the integer values $r,k$ , respectively. Then $R\sim\mathrm{Unif}(-2,5)$ and $K\sim\mathrm{Unif}(2,7)$ , where $\mathrm{Unif}(a,b)$ denotes the discrete uniform distribution over the interval $[a,b]$ . So $R$ and $K$ have probability mass functions

$p_R(r)=\begin{cases}\dfrac18&\text{for }r\in\{-2,-1,\ldots,5\}\\\\0&\text{otherwise}\end{cases}$

$p_K(k)=\begin{cases}\dfrac16&\text{for }k\in\{2,3,\ldots7\}\\\\0&\text{otherwise}\end{cases}$

We want to find $P\left(\dfrac RK\equiv0\pmod n\right)$ , where $n$ is any integer.

We have six possible choices for $K$ :

(i) if $K=2$ , then $\dfrac RK$ is an integer when $R=\pm2,0,4$ ;

(ii) if $K=3$ , then $\dfrac RK$ is an integer when $R=0,3$ ;

(iii) if $K=4$ , then $\dfrac RK$ is an integer when $R=0,4$ ;

(iv) if $K=5$ , then $\dfrac RK$ is an integer when $R=0,5$ ;

(v) if $K=6$ or $K=7$ , then $\dfrac RK$ is an integer only when $R=0$ in both cases.

If the selection of $R,K$ are made independently, then the joint distribution is the product of the marginal distribution, i.e.

$p_{R,K}(r,k)=p_R(r)\cdot p_K(k)=\begin{cases}\dfrac1{48}&\text{for }(r,k)\in[-2,5]\times[2,7]\\\\0&\text{otherwise}\end{cases}$

That is, there are 48 possible events in the sample space. We counted 12 possible outcomes in which $\dfrac RK$ is an integer, so the probability of this happening is $\dfrac{12}{48}=\dfrac14$ .

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3 years ago

How many digits are in the decimal expansion of 2^34

Naddika [18.5K]

Answer:

2^34 = 17179869184

I hope this helps :)

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3 years ago

Choose all numbers that are divisible by 2 and 5

bazaltina [42]

Answer:

bjfyjjyffjvukshmdjdynftjfu

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3 years ago

The distance from the ladder to the end of the side is 5 ft. The distance from the top of the ladder to the bottom is 13 ft long

torisob [31]

Answer:

12 ft

Step-by-step explanation:

Note that you have a right triangle here, with hypotenuse 13 ft, and base 5 ft. Using the Pythagorean Theorem, we find the height of the upper tip of the ladder as follows:

(13 ft)^2 = y^2 + (5 ft)^2. Then y^2 = 144 ft^2, and y =height= 12 ft

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3 years ago