High School

7

A scientist is investigating the weight of 50 tigers.

Here is some information about these tigers.

Number of tigers

Mean weight of tigers (kg)

Siberian

22

260

Type of tiger

The mean weight of all 50 tigers is 218 kg

Work out the mean weight of the Bengal tigers.

Bengal

28

7 A scientist is investigating the weight of 50 tigers Here is some information about these tigers Number of tigers Mean weight of tigers kg

Answer :

Consequently, there is a 0.89736 percent chance or probability that he weighs fewer than 258 kilograms.

What is probability?

Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Here,

we use the z-score algorithm to answer this query.

Score Z = x - μ/σ

x = the raw score

population mean= μ

Population standard deviation is σ

Hence,

x = 258, μ = 220, σ = 30

Z = 258 - 220/30

=1.26667

Probability based on the Z-Table:

P(x<258) = 0.89736

Consequently, there is a 0.89736 percent chance that he weighs fewer than 258 kilograms.

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The elements are Helium (2 protons, 2 neutrons, 2 electrons), Chlorine (17 protons, 18 neutrons, 17 electrons), and Calcium (20 protons, 20 neutrons, 20 electrons).

The image you've shared is a table with information about different elements. Here's how you can solve it step by step:

1. Identify each element by its number of protons using the Periodic Table

- The number of protons in an atom is also known as the atomic number, and it determines the identity of an element. For example, an atom with 2 protons is a Helium (He) atom, an atom with 17 protons is a Chlorine (Cl) atom, and an atom with 20 protons is a Calcium (Ca) atom.

2. Determine the number of electrons for a neutral atom (which should equal the number of protons).

- In a neutral atom, the number of electrons equals the number of protons. So, a neutral Helium atom has 2 electrons, a neutral Chlorine atom has 17 electrons, and a neutral Calcium atom has 20 electrons.

3. Use information about isotopes to deduce neutron numbers when necessary.

- The number of neutrons in an atom can vary, creating different isotopes of the same element. The most common isotopes of Helium, Chlorine, and Calcium have 2, 18, and 20 neutrons respectively.

So, the completed table would look like this:

attached below: