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kupik [55]
3 years ago
7

What is 1.2 divides by 0.04?

Mathematics
2 answers:
Jobisdone [24]3 years ago
7 0
1.2=\frac{12}{10} and 0.04=\frac{4}{100}. Divide 12/10 by 4/100: \frac{12}{10}: \frac{4}{100}=30
Sedaia [141]3 years ago
7 0
1.2 divide by 0.04 equals 30 
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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
What is the vertex of f(x) = |x + 8| – 3?
Arte-miy333 [17]

Answer:

(-8,-3)

Step-by-step explanation:

This question is similar to the vertex form of a quadratic equation, so you can think of this equation like f(x) = (x-h)+k. Using this equation, you can determine the vertex (h,k) of |x+8|-3, which is (-8,-3).

5 0
3 years ago
Julissa walked 8 miles.
djyliett [7]

Answer:

she walked another 2 miles.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Sin x = - 1/2<br> where (-360 &lt; x &lt; 360)
dimulka [17.4K]

Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees

3 0
3 years ago
Me ayudan con esa ecuacion por sustitucion con la comprobacion pliss
attashe74 [19]
<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5

1/5x+3y/2=2  => (1/5)x + (3/2)y = 2

Eliminate the fractional coefficients:  Mult. the first equation by 4 and mult. the second equation by 10:


2x + 15y = 20     

</span><span>Multiply the 1st equation by -1:

-</span>2x - 3y = -20
2x + 15y = 20 
-------------------
       12y = 0, so y = 0.  Then the first equation becomes  2x + 3(0) = 20, or
                                     x=10.

Solution is (10,0).
8 0
3 years ago
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