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kolezko [41]
3 years ago
8

The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation. Accord

ing to the Empirical Rule, what percentage of the fish will have lengths within 1 standard deviation of the mean?
a) 34%
b) 47.5%
c) 68%
d) 99.7%
Mathematics
2 answers:
umka21 [38]3 years ago
5 0

Answer:

c) 68%

Step-by-step explanation:

The empirical rule states that most of the data will be within three standard deviations in a normal distribution. The 68% of the data will be within one standard deviation, the 95% will be within two standard deviations, and 99.7% of the data will be within three standard deviations.

A normal distribution is a continuous distribution in which values around the mean are the most frequents. It can also be called a bell-shaped distribution.

RSB [31]3 years ago
3 0

Answer:

c.) 68%

Step-by-step explanation:

jut took test on ed

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If f(x)= x + x2 and g(x)<br> +7?+ 1, what is the value of f(x) - g(x) when x = 1?
Reil [10]
1+1*2 is 3 and 7*1+1 is 8 3-8 is -5
4 0
3 years ago
(a) Find an angle between 0 and 2π that is coterminal with −19π10.
Katarina [22]

Answer:

\dfrac{\pi}{10}.

Step-by-step explanation:

All coterminal angles of an angle \theta are defined as

\theta +2n\pi or \theta + n360^{\circ}

where, n is an integer.

The given angle is

\theta=-\dfrac{19\pi}{10}

So, all coterminal angles of an angle \theta are

-\dfrac{19\pi}{10}+2n\pi

For n=1,

\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi

\Rightarrow -\dfrac{19\pi}{10}+2\pi

\Rightarrow \dfrac{-19\pi+20\pi}{10}

\Rightarrow \dfrac{1\pi}{10}

Since,  \dfrac{\pi}{10}  between 0 and 2π, therefore,  the required coterminal angle is \dfrac{\pi}{10}.

6 0
3 years ago
If x = 10, y = 5, and z = 11, what is the tangent ratio for g°?
loris [4]

Please, find attached the image with the complete question

Answer:

\large\boxed{\large\boxed{tan(g\º )=2}}

Explanation:

The triangle ACB is a right triangle with these features:

  • x represents the opposite side to the angle g
  • y represents the adjacent side to the angle g

The <em>tangent ratio </em>on an angle in a right triangle is equal to the length of the leg opposite to the angle divided by the length of the leg adjacent to the angle.

Hence:

           tangent(g\º )=x/y=10/5=2\leftarrow answer

8 0
3 years ago
Read 2 more answers
What is the LCM of 7 and 9
Trava [24]
The lcm of 7 and 9 is 63
7 0
4 years ago
Good morning can somebody help me out the answer choice are
Dimas [21]

Answer:

Option D

Step-by-step explanation:

Measure of adjacent side = 20

Measure of Hypotenuse = 24

Since, measures of adjacent side and Hypotenuse have been given in the question, cosine ratio will be applied to find the measure of angle x.

cos(x) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(x) = \frac{20}{24}

x = \text{cos}^{-1}(0.833)

  = 33.55°

  ≈ 33.6°

Option D is the answer.

8 0
3 years ago
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