Rank these shapes from greatest to fewest number of sides.

the distribution of lengths of salmon from a certain river is approximately normal with standard deviation 3.5 inches. if 10 per

juin [17]

Complete question;

<em>The distribution of lengths of salmon from a certain river is approximately normal with a standard deviation of 3.5 inches. If 10 percent of salmon are longer than 30 inches, which of the following is closest to the mean of the distribution? 26 inches A 28 inches B 30 inches C 33 inches D 34 inches</em>

Option B is correct. The value that is closest to the mean of the distribution is 30inches.

The formula for calculating the z-score is expressed as:

$z=\frac{ x-\mu}{\sigma}$

Given the following parameters

$\sigma = 3.5\\x = 26in$

If 10 percent of salmon are longer than 30 inches, then:

P(x>30) = 0.1

Using the z table to get the value corresponding to the mean area 0.1.

The required z-score will be -1.285

Substitute the resulting parameters into the formula to get the mean of the distribution.

$z=\frac{x-\mu}{\sigma}\\-1.285=\frac{26-\mu}{3.5}\\-1.285 \times 3.5 = 26 - \mu\\ -4.4975 = 26 - \mu\\\mu = 26 + 4.4975\\\mu = 30.4975\\\mu \approx 30in$

Hence the value that is closest to the mean of the distribution is 30inches.

Learn more here: brainly.com/question/15295437

3 0

2 years ago

What are the coordinates of the roots of the equation x^2+4x+3=0.

aleksklad [387]

Answer:Solving the quadratic equation, the coordinates of the roots are: (-1,0) and (-3,0)

The quadratic equation given is:

Which has coefficients .

Now, we find the solutions:

The coordinates of the roots are and , as a root is a value of x when y = 0, thus, in the problem, (-1,0) and (-3,0).

A similar problem is given at brainly.com/question/13729358

Explanation:

5 0

2 years ago

HI how are you doing.

Aleksandr [31]

Answer:

Question

Explanation:

3 0

3 years ago

Answer:

<h3>Dual agent.</h3>

Explanation:

A dual agent is a person who represents both the <u>seller </u>and the <u>buyer</u>. In a dual agency, a buyer may hire an agent to represent him/her while the seller also hires an agent to represent his/her interest.

Most of the time, both the seller and buyer have the <u>same agent</u> to negotiate a contract or transaction. In a dual agency, the agent is normally expected to represent both parties in a fair manner.

8 0

3 years ago

Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the 20th, 25th,65th , and 75th percentiles

Kay [80]

Answer:

Percentile of 20th = 20

Percentile of 25th = 22.5

Percentile of 65th = 28

Percentile of 75th = 29

Explanation:

Sort the numbers in ascending order:

15,20,25,25,27,28,30,34

i = P/100 * N ( i index is the position of the number. Index 1 = 15, index 2 = 20, and so on)

Index of the 20th percentile:

20/100 * 8 = 1.6

Round 1.6 to the next integer = 2

The second number I=20

The 20th percentile is 20

Index of the 25th percentile:

25/100 * 8 = 2

Because 2 is an integer the percentile of 25th is the average of I=20 and I=25

(20+25)/2=22.5

The 25th percentile is 22.5

Index of the 65th percentile

i = 65/100 * 8 = 26.5 = 5.2

Round to the next integer = 6

The 65th percentile is 28

Index of the 75th percentile

I = 75/100 * 8 = 6

Since 6 is an integer (28+30)/2 = 29 percentile

7 0

2 years ago