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3 years ago

Can someone please solve this problem for me. I'm kind of confused-This is probability too-

Mathematics

1 answer:

Andrej [43]3 years ago

5 0

Step-by-step explanation:

The probability of landing on the color gray ONCE

= 2/7

Since it is spun 35 times, the expected number of times that it lands on a gray will be

(2/7 × 35) = 10 times

The probability of landing on the color black ONCE

= 1/7

Since it is spun 105 times, the expected number of times that it lands on a black will be

(⅐ × 105) = 15 times

The formula is:

Expected value = (Number of spinning)×(probability of landing on a colour)

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To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p

Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (<em>μ</em>) is:

$\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

<u>Given:</u>

MOE = 3

<em>σ </em>= 11

The critical value for 95% confidence interval is: $z_{\alpha /2}=1.96$

**Use the <em>z</em>-table for critical values.

Compute the sample size (<em>n</em>) as follows:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52$

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

7 0

3 years ago

How is the function, y=x-3 related to y = x? Graph the function by translating the parent function.

aliina [53]

It is 3 units down to parent function

6 0

4 years ago

-2.7+17.8+29.5+8.9=?

BARSIC [14]

Answer:

64.5

Step-by-step explanation:

64.5

6 0

3 years ago

Read 2 more answers

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

Fine the slope of the line through each pair of points . (-8,-20),(5,2)

kozerog [31]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-8, -20) and (5, 2). Substitute:

$m=\dfrac{2-(-20)}{5-(-8)}=\dfrac{22}{13}$

Answer: The slope is $\dfrac{22}{13}$

7 0

4 years ago

Read 2 more answers

Can someone please solve this problem for me. I'm kind of confused-This is probability too-​

Can someone please solve this problem for me. I'm kind of confused-This is probability too-