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3 years ago

A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10

Mathematics

1 answer:

ahrayia [7]3 years ago

5 0

Answer:

5.5

Step-by-step explanation:

We have a list of 10 numbers (n = 10) ordered from lower to higher.

1 2 3 4 5 6 7 8 9 10

The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,

median = 5 + 6 / 2 = 5.5

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( There are two similar triangles on the graph below. Use the graph to answer the questions. You must answer each question AND e

Evgen [1.6K]

Answer:

The Slope of both the lines is the same.

Step-by-step explanation:

Given two co-ordinates (x1, y1) and (x2, y2), the slope of a line can be found using the formula:

$slope = \frac{y2-y1}{x2-x1}$

For the diagonal line of the first triangle, the coordinates are (0, 0) and (2, 1)

$slope of diagonal line of first triangle = \frac{1 - 0}{2 - 0} = \frac{1}{2}$

For the diagonal line of the large triangle, the coordinates are (2, 1) and (6, 3)

$slope of diagonal line of second triangle = \frac{3-1}{6-2} = \frac{2}{4} = \frac{1}{2}$

7 0

3 years ago

Read 2 more answers

Between 20 and 28 students signed up for the chess club. The students could not be divided exactly into groups of 2,3,4 or 5. Ho

Artemon [7]

23

Those are not the answer:
1) 20 - can be divided by 2
2) 21 - can be divided by 3
3) 22 - can be divided by 2
4) 24 - can be divided by 2 and 4.
5) 25 - can be divided by 5
6) 26 - can be divided by 2
7) 27 - can be divided by 3
8) 28 - can be divided by 2 and 4

8 0

3 years ago

Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no mor

kirill [66]

Answer:

A.) A person weights 80 kg can consume Haddock fish = 149 grams

B.) A person weights 80 kg can consume Swordfish fish = 8 grams

C.) A person weights 80 kg can consume Tuna fish = 23 grams

D.) A person weights 80 kg can consume Snapper fish = 50 grams

Step-by-step explanation:

Given - Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no more than 0.1 microgram for every kilogram of their weight per day. Fish generally carry high levels of mercury, although certain fish have higher mercury content than others. Fish, however, are healthy sources of many other nutrients, so nutritionists recommend keeping them in the human diet. The figure below shows the average mercury content of several types of fish.

To find - If a person weighs 82 kg, how much of each fish can they safely consume? round to the nearest gram.

A.Haddock

B.Swordfish

C.Tuna

D.Snapper

Proof -

Firstly, determine how many micro grams of mercury a person can consume who weighs 82 kilograms.

⇒82 × 0.1 = 8.2 micro grams.

Now,

a.)

For Haddock fish-

It consumes 0.055 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.055

= 149.09 ≈ 149 grams

So,

A person weights 80 kg can consume Haddock fish = 149 grams

b.)

For Swordfish fish-

It consumes 0.995 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.995

= 8.24 ≈ 8 grams

So,

A person weights 80 kg can consume Swordfish fish = 8 grams

c.)

For Tuna fish-

It consumes 0.350 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.350

= 23.43 ≈ 23 grams

So,

A person weights 80 kg can consume Tuna fish = 23 grams

d.)

For Snapper fish-

It consumes 0.165 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.165

= 49.697 ≈ 50 grams

So,

A person weights 80 kg can consume Snapper fish = 50 grams

6 0

3 years ago

A total of $37185 is invested at an annual interest rate of 2% compounded quarterly. Find the balance after 11 years.

vazorg [7]

A=37,185×(1+0.02÷4)^(4×11)
A=46,309.97

8 0

3 years ago

Complete the table of inputs and outputs for the given function. F(x)= -5(x+7)

levacccp [35]

The table of inputs that satisfy the given function is (<em>-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).</em>

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the function f(x) = -5(x + 7)

When x = -2; f(-2) = -5(-2 + 7) = -25

When x = -1; f(-1) = -5(-1 + 7) = -30

When x = 0; f(0) = -5(0 + 7) = -35

When x = 1; f(1) = -5(1 + 7) = -40

When x = 2; f(2) = -5(2 + 7) = -45

The table of inputs that satisfy the given function is (<em>-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).</em>

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Find out more on equation at: brainly.com/question/13763238

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6 0

2 years ago