23 days ago

Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10. If both the cube and card h

ave the same number, Lin gets another turn. Otherwise, play continues with the next player. What is the probability that Lin gets another turn?

Mathematics

You might be interested in

Which function has no horizontal asymptote? F (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction f (x) = StartFraction

tester [12383]

Response:

$f(x)=\frac{2x^2}{3x-1}$

Detailed explanation:

The function $f(x)=\frac{2x-1}{3x}$ features a horizontal asymptote which is $y=\frac{2}{3}$

The function $f(x)=\frac{x-1}{3x}$ presents a horizontal asymptote which is $y=\frac{1}{3}$

One function $f(x)=\frac{2x^2}{3x-1}$ lacks a horizontal asymptote because the degree of its numerator surpasses that of the denominator,

The function $f(x)=\frac{3x^2}{x^2-1}$ displays a horizontal asymptote which is $y=3$

3 0

3 months ago

Read 2 more answers

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation of all

Leona [12618]

Answer:

$n=(\frac{0.539(2.2)}{0.3})^2 =15.62 \approx 16$

In this scenario, the solution for n is determined to be 16 when rounded up to the closest integer

Step-by-step explanation:

The following information has been provided for this case:

$\sigma = 2.2$ symbolizes the population standard deviation

$Confidence =0.8$

$ME = 0.3$ signifies the preferred margin of error

The formula for the margin of error of the actual mean is given as:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

In this case, the margin of error (ME) is 0.03, and to find n, we rearrange equation (a) to get:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

With a confidence level of 80%, and the significance level being $\alpha=0.2$ and $\alpha/2 =0.1$ , the critical value is $z_{\alpha/2}=0.539$ . Plugging in these values into formula (b) results in:

$n=(\frac{0.539(2.2)}{0.3})^2 =15.62 \approx 16$

Thus, the solution for this situation results in n=16, rounded to the nearest whole number

5 0

2 months ago

Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), wh

tester [12383]

H' = -2 -5, -3 + 9 = (-7, 6)

7 0

2 months ago

Read 2 more answers