Use the five step strategy for solving work problems to find the number described

Just need the answer:) will give 5 star review:))

Sergeeva-Olga [200]

Answer:

n=5

Step-by-step explanation: happy to hlp

5 0

3 years ago

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 $\dfrac{12}{48}=\dfrac14$ .

7 0

3 years ago

(-3x^6)^5

Alekssandra [29.7K]

Answer:

-18*5 is you answer aka -90

8 0

3 years ago

one number is less than a second number. twice the secind number is less 16 less than 4 times the first. find the smaller of two

bulgar [2K]

Answer:

The smaller number is 11

Step-by-step explanation:

The question is

One number is 3 less than a second number. Twice the second number is 16 less than 4 times the first. Find the smaller of two numbers

Let

x and y the numbers

x=y-3 ----> equation A

2y=4x-16 ----> equation B

Substitute equation A in equation B and solve for y

2y=4(y-3)-16

2y=4y-12-16

4y-2y=12+16

2y=28

y=14

x=14-3=11

6 0

4 years ago

NO LINKS!!!!!

natita [175]

9514 1404 393

Answer:

vertical scale ×2; translate (-1, -5); (-1, -5), (0, -3), (-2, -3)
vertical scale ×1/2; translate (3, 1); (3, 1), (1, 3), (5, 3)
reflect over x; vertical scale ×2; translate (-3, -4); (-3, -4), (-2, -6), (1, -8)

Step-by-step explanation:

Transformation of parent function f(x) into g(x) = c·f(x-h)+k is a vertical scaling by a factor of c, and translation by (h, k) units to the right and up. If c is negative, then a reflection over the x-axis is also part of the transformation. Once you identify the parent function (here: x² or √x), it is a relatively simple matter to read the values of c, h, k from the equation and list the transformations those values represent.

For most functions, points differing from the vertex by 1 or 2 units are usually easily found. Of course, the vertex is one of the points on the function.

(c, h, k) = (2, -1, -5)

vertical scaling by a factor of 2
translation 1 left and down 5

Points: (-1, -5), (-2, -3), (0, -3)

__

(c, h, k) = (1/2, 3, 1)

vertical scaling by a factor of 1/2
translation 3 right and 1 up

Points: (3, 1), (1, 3), (5, 3)

__

(c, h, k) = (-2, -3, -4)

reflection over the x-axis
vertical scaling by a factor of 2
translation 3 left and 4 down

Points: (-3, -4), (-2, -6), (1, -8)

_____

<em>Additional comment</em>

For finding points on the parabolas, we use our knowledge of squares and roots:

1² = 1, 2² = 4

√1 = 1, √4 = 2

7 0

3 years ago