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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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The difference of two numbers is 3. their sum is 14. find the two numbers. (show work please)
Artemon [7]
Let's say the larger number is x. that means that the smaller number is x - 3. since you know their sum is x + x - 3, and that is equal to 14. so you have the equation x + x - 3 = 14. combine like terms (x) to get 2x - 3 = 14. add three to both sides to get 2x = 17. divide both sides by two to get x = 17/2. so the larger number is 17/2, and the larger number is 11/2 (17/2 - 3 = 11/2)
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3 years ago
Solve the proportion and round your answer to the nearest tenth.
GalinKa [24]

Answer:

y = 1.1

Step-by-step explanation:

Proportion is a statement that two ratios are equal.

It can be written in two ways:

  • Two equal fractions \frac{a}{b} = \frac{c}{d}
  • Two equal sides a: b = c: d.

We can use cross products to find a missing term in it.

Let us solve the question

∵ The proportion statement is \frac{7.7}{15.4} = \frac{y}{2.2}

→ Use the  cross multiplication to find y

∵ y × 15.4 = 7.7 × 2.2

∴ 15.4y = 16.94

→ Divide both sides by 15.4 to find y

∵ \frac{15.4y}{15.4} = \frac{16.94}{15.4}

∴ y = 1.1

<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>

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2 years ago
Please I need help!!
Anastaziya [24]

Answer:

2 gallons

Step-by-step explanation:

25% of 4 gallons is 1 gallons, which means that 75% of the hand sanitizer is not alcohol, and is 3 gallons. since that is the amount of not alcohol, and we want it to be 50% solution, it has to be 3 gallons of alcohol in total, and 3-1=2.

4 0
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Please solve the following problem
kirza4 [7]

Answer:

x = 27

Step-by-step explanation:

Given

\frac{x}{9} = 3

Multiply both sides by 9 to clear the fraction

x = 9 × 3 = 27

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3 years ago
(X to the fourth power) squared equals
Viktor [21]

Answer:

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Step-by-step explanation:

Because of the power of a power property, which states that (x^n)^m=x^{n\times{m}}, where m and n are real numbers, the expression you mentioned can be simplified by applying this property like this: (x^4)^2=x^{4\times2}=x^8

4 0
3 years ago
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