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3 years ago

9. plsss help, will give brianlist

Mathematics

1 answer:

Aleks [24]3 years ago

6 0

Answer:

$1. \: \: \: \: \frac{1}{5} \\ 2. \: \: \: \: - \frac{3}{2} \\ 3. \: \: \: \: \frac{1}{2}$

Step-by-step explanation:

1. In the first diagram we simply count the number of squares along the rise and the number of squares along the run as slope equals rise/run

2. we use the slope formula

$\frac{y2 - y1}{x2 - x1} = \frac{ - 2 - 1}{ 1- ( - 1)} = \frac{ - 3}{2} = - \frac{3}{2}$

3. pick any two points and apply the slope formula again

$( - 1. \: \: 1) \: and \: (3. \: \: 3) \\ \frac{3 - 1}{3 - ( - 1)} = \frac{2}{4} = \frac{1}{2}$

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Question a) Compare the Variability of Expenditure of Families in Two Towns given as follows: Number of families Expenditure (Ru

Karolina [17]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Number of families __________Expenditure

______midpoint (x) ____Town A __Town B

21-30 __25.5____________3 _______2

31-40 __35.5____________61 ______14

41-50 __45.5___________132 _____ 20

51-60 __55.5__________ 153 ______27

61-70 __65.5__________ 140 ______ 28

71-80 __75.5___________ 51 _______ 7

81-90 __85.5___________ 2 _______ 2

The variability is the variance and standard deviation :

The variance (s):

√Σ(x - m)²/Σf(x)

Town A:

m = Σ(X * f(x)) / Σf ; Σf = 542

Σ x * f(x) = (25.5*3) + (35.5*61) + (45.5*132) + (55.5*153) + (65.5*140) + (75.5*51) + (85.5*2)

= 29931 / 542

= 55. 22

Σf(x - m)² / Σf - 1 = [3(25.5-55.22)^2 + 61(35.5-55.22)^2 + 132(45.5-55.22)^2 + 153(55.5-55.22)^2 + 140(65.5-55.22)^2 + 51(75.5-55.22)^2 + 2(85.5-55.22)^2] / 541

= 76458. 4928 / 541

Variance = 141.32808

Standard deviation = √variance

Standard deviation = √141.32808

Standard deviation = 11.89

TOWN B:

m = Σ(X * f(x)) / Σf ; Σf = 100

Σ x * f(x) = (25.5*2) + (35.5*14) + (45.5*20) + (55.5*27) + (65.5*28) + (75.5*7) + (85.5*2)

= 5490 / 100

= 54.90

Variance :

Σf(x - m)² / Σf - 1 = [2(25.5-54.90)^2 + 14(35.5-54.90)^2 + 20(45.5-54.90)^2 + 27(55.5-54.90)^2 + 28(65.5-54.90)^2 + 7(75.5-54.90)^2 + 2(85.5-54.90)^2] / 99

= 16764 / 99

= 169.33

Standard deviation = √variance

Standard deviation = √169.3333

Standard deviation = 13.013

From the result above, Town A has lesser variability than Town B due to the slightly lower variance and standard deviation values.

8 0

3 years ago

The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents

kvv77 [185]

Answer: $\pi =\frac{47.1}{15}$

Step-by-step explanation:

The complete exercise is: "The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? "

In order to solve this exercise, it is important to remember that the circle can be calculated with the following formulas:

1. $C=\pi D$

Where "C" is the circumference of the circle and "D" is the diameter of the circle.

2. $C=2\pi r$

Where "C" is the circumference of the circle and "r" is the radius of the circle (Remeber that the diameter is twice the radius).

In this case, the exercise gives you the circumference of the circle and its diameter. These are:

$C=47.1\\\\d=15$

Then, knowing those values, you can substitute them s into the first equation $C=\pi D$ , as following:

$47.1=\pi (15)$

The final step is to solve for $\pi$ :

$\pi =\frac{47.1}{15}$

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3 years ago

Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe

adoni [48]

There are two true statements:

When the function is composed with r, the composite function is V(t) = (1/48) · π · t⁶.
V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be f and g two functions, there is a composition of f with respect to g when the domain of f is equal to the range of g. In this question, the domain variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two true statements:

When the function is composed with r, the composite function is V(t) = (1/48) · π · t⁶.
V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

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2 years ago

Who is the richest president in the world

olga55 [171]

The richest president in the world is Sebastian Pinera, President of Chile with $2.4 billion.

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3 years ago

Pleaseeee help!!!!! I will mark you as brainlinest for correct answer!!!!!!

Setler79 [48]

So the equation you'll use is (18,000 × .041)y+18000. Y is your years which is 20. So all you need to do is plug it in to get (18,000 × .041)20+18000 and when solved is 32,760 downloads by 2030

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3 years ago