Determine the slope and y intercept of the graph of the equation.

I need the solution and the work for it... for each of the multiple choices.

Vlad1618 [11]

For this case we have the following equation:

$x ^ 3 = 375$

We must find the value of "x":

We apply cube root on both sides of the equation to eliminate the exponent:

$x = \sqrt [3] {375}$

We can write 375 as $5 ^ 3 * 3$

So:

$x = \sqrt [3] {5 ^ 3 * 3}\\x = 5 \sqrt [3] {3}$

Then, the correct options are:

$x = \sqrt [3] {375}\\x = 5 \sqrt [3] {3}$

Answer:

Option A and B

8 0

3 years ago

You roll a pair of fair dice until you roll “doubles” (i.e., both dice are the same). what is the expected number, e[n], of roll

bonufazy [111]

We need to define our outcomes and events.

Finding the probability of each event occurring separately, and then multiplying the probabilities is the step to finding the probability of two independent events that occur in sequence.

To solve this problem, we take note of this:

The roll of the two dice are denoted by the pair

(I, j) ∈ S={ (1, 1),(1, 2),..., (6,6) }

Each pair is an outcome. There are 36 pairs and each has probability 1/36. The event “doubles” is { (1, 1),(2, 2)(6, 6) } has probability p= 6/36 = 1/6. If we deﬁne ”doubles” as a successful roll, the number of rolls N until we observe doubles is a geometric (p) random variable and has expected value E[N] = 1/p = 6.

3 0

3 years ago

Choose the pair(s) of integers that can be substituted into the equation ax2 - 6x + c = 0 so that it has two real solutions.

Maksim231197 [3]

The options are not provided, but method is stated below

Answer:

Quadratic equation ax2 - 6x + c = 0

options would be given for a and c

substitute a and c
check for Discriminant
$b^2 - 4ac \geq 0$
36 -4ac $\geq 0$

These conditions will fetch us the result required among the options.

Note : the $\geq$ sign will give us the result for Two real unequal solutions and two real equal solutions. If we only need Real unequal solutions we only use > sign instead of $\geq$