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antiseptic1488 [7]
3 years ago
13

The two dot plots below show the heights of some sixth graders and some seventh graders:

Mathematics
2 answers:
Kitty [74]3 years ago
8 0
2.0 because if you divide 1.2 by 0.6 it equals 2.0
Ber [7]3 years ago
8 0

Answer: The variability in the heights of the sixth graders is 2 times the variability in the height of the seventh graders.

Step-by-step explanation:

Since we have given tha t

Mean absolute deviation for the first set of data = 1.2

Mean absolute deviation for the second set of data = 0.6

We need to find the number of times the variability in the height of the seventh grade is the variability in the heights of the sixth graders.

So, our expression becomes

\dfrac{MAD\ of Seventh\ greade}{MAD\ of\ sixth\ grade}\\\\=\dfrac{1.2}{0.6}\\\\=2

Hence, the variability in the heights of the sixth graders is 2 times the variability in the height of the seventh graders.

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The population of a certain animal species you are studying decreases at a rate of 3.5% per year. Only 80 of the animals in the
kotegsom [21]
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x  *  0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was <span>89.</span>
4 0
3 years ago
A dilation centered at the origin maps the point (1,3) to the point (4,12). What is the scale factor of the dilation?
Travka [436]

Answer:

4

Step-by-step explanation:

4,12

1,3

4/12=4

12/3=4

8 0
4 years ago
the expression 2 * L + W equals the perimeter of the rectangle write an equivalent expression using the distributive property
labwork [276]

Answer:

2*L+2*W=Perimeter

5 0
4 years ago
(6/-7)/(3/11)<br> 6/-7 divided by 3/11
beks73 [17]

Answer:

-22/7

Step-by-step explanation:

To divide fractions, we multiply by the reciprocal:

(6/-7)/(3/11)

(6/-7)(11/3)

66/-21

22/-7

-22/7

Therefore, your simplifed answer is -22/7

3 0
3 years ago
Read 2 more answers
(a) What can you say about a solution of the equation y' = - (1/4)y2 just by looking at the differential equation? 1. The functi
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

a) We can state that the value of y' is negative on an interval because y^2 is positive in any interval (except in y(0), in which y'(0)=0). If y' is negative, as it is the slope of the tangent of the function y in any point, we can conclude that y is decreaing or equal to zero on any interval on which is defined.

b) First, we calculate y'

y=\frac{4}{x+C}\\\\y'=4*\frac{(-1+0)-0}{(x+C)^2}=\frac{-4}{(x+C)^2}

Then we replace in the differential equation and get the same result

y'=-\frac{1}{4} y^2=-\frac{1}{4} (\frac{4}{x+C} )^2=-\frac{1}{4}\frac{16}{(x+C)^2}=\frac{-4}{(x+C)^2}

c) The question is not readable, so I am going to solve this initial-value problem:

y'=-\frac{1}{4}y^2\\\\y(0)=4

dy/dx=-(1/4)y^2\\\\ \int \frac{dy}{y^2}=-(1/4)\int dx\\\\-\frac{1}{y} =-(1/4)(x+C)\\\\y=\frac{4}{x+C}\\\\y(0)=4=\frac{4}{0+C} \\\\C=1\\\\\\y=\frac{4}{x+1}

6 0
3 years ago
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