Which of these expressions is equivalent to 3(x-2)

Marcel converts the frequency table to a conditional relative frequency table by row. 4-column table, 3 rows. First column no la

GuDViN [60]

Answer:

0.19

Step-by-step explanation:

____ | <40 | 》40 | Total

< 30 | W | X | 1.0

》30 | Y | Z | 1.0

Total | 0.43 | 0.57 | 1.0

Since W, X, Y and Z are conditions frequency, they can't be negative

Therefore,

W and Y are both less than 0.43

X and Z are both less than 0.57

The only option less than 0.43 is 0.19 (for Y)

3 0

4 years ago

Read 2 more answers

Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

Vlad1618 [11]

Answer:

$y=-\dfrac{x}{e^{2}}+\dfrac{2}{e^{2}}\\$

this is the equation of the tangent line to the curve from the point (1, 1/e^2)

Step-by-step explanation:

$y=\dfrac{x}{e^{2x}}$

to find the tangent line we need to find the curve's derivative.

we'll be using the quotient formula: $d\left(\dfrac{u}{v}\right) = \dfrac{uv'-vu'}{v^2}$ , here $u = x\quad , \quad v = e^{2x}$

$\dfrac{dy}{dx}=\dfrac{e^{2x}(1)-x(2e^{2x})}{(e^{2x})^2}$

$\dfrac{dy}{dx}=\dfrac{e^{2x}-2xe^{2x}}{(e^{4x})}$

$\dfrac{dy}{dx}=\dfrac{\left(1-2x\right)}{ e^{2 x}}$

This is the equation of the slope of the curve. By finding the slope of the curve at (1, 1/e^2) we'll also be finding the slope of the tangent to the curve at (1, 1/e^2).

the x-coordinate is 1, so using x =1

$\dfrac{dy}{dx}=\dfrac{\left(1-2(1)\right)}{ e^{2(1)}}\\\dfrac{dy}{dx}=\dfrac{-1}{e^{2}}$

this is the slope of the tangent.

now to find the equation of the line:

$(y-y_1)=m(x-x_1)$

here, m is the slope.

$(y-\dfrac{1}{e^{2}})=-\dfrac{1}{e^{2}}(x-1)\\y=-\dfrac{x}{e^{2}}+\dfrac{1}{e^{2}}+\dfrac{1}{e^{2}}\\$

$y=-\dfrac{x}{e^{2}}+\dfrac{2}{e^{2}}\\$

this is the equation of the tangent line to the curve from the point (1, 1/e^2)

3 0

3 years ago

You walk 2 miles in 1/2 hour ate that rate , how long will it take to walk 3 miles

irina [24]

If you walk 2 miles in 1/2 an hour, each mile took 15 minutes to walk. Add one more mile and that equals 45 minutes.

It will take 45 minutes to walk 3 miles.

4 0

3 years ago

Read 2 more answers

Assume that when adults with smartphones are randomly selected, 58% use them in meetings or classes. If 20 adult smartphone user

Marina CMI [18]

Answer:

0.1502 = 15.02% probability that exactly 13 of them use their smartphones in meetings or classes

Step-by-step explanation:

For each adult smartphone users, there are only two possible outcomes. Either they use the phone in meetings or classes, or they do not. The probability of an adult using the phone in these settings is independent of any other adult. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$