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Alchen [17]
2 years ago
8

Simeon has two lengths of rope. One piece is 72 metres long and the other is 90 metres long. He wants to cut both lengths of rop

e into the longest pieces of equal length possible. How long should the pieces be?
Mathematics
1 answer:
allsm [11]2 years ago
6 0

Answer:

<h2><u><em>18</em></u></h2>

Step-by-step explanation:

90=2×3×3×5

72=2×2×2×3×3

HCF of 90 and 72  =2×3×3=

18

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An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders.
Marianna [84]

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder                     1      2      3       4

Observed visits; o_i  60   90   92    58

data sample = 300

Expected e_i = 300 / 4 = 75

the x² test statistic = ?

X^2_{stat = ∑[ (o_i - e_i)²/e_i]

X^2_{stat = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

X^2_{stat = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

X^2_{stat = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

7 0
3 years ago
Based on a poll of 200 citizens, a community action group claims that 40% of the population is in favor of a curfew for children
erastova [34]

Answer: (0.18,0.26)

Step-by-step explanation: I just finished the test

4 0
3 years ago
Read 2 more answers
Which piecewise function is shown in the graph?
mash [69]

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b     (1)

Where:

  • x - Independent variable.
  • y - Dependent variable.
  • m - Slope
  • b - Intercept

By direct observation and by applying (1) we have the following <em>piecewise</em> function:

f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0
2 years ago
The box plots show the data distributions for the number of text messages Will and Jaime sent each day.What is the difference of
Softa [21]
Hey there!

You can find the medians by referring to the line in the middle of both of the boxes. These indicate the median of the sets of data you have. The first median is at 10 and the other is at 12. 

All you need to do to find the difference is subtract the smaller number from the bigger number. 

12 – 10 = 2

Your difference will be 2, making your second option your answer. Hope this helped you out! :-)
4 0
3 years ago
Read 2 more answers
Please help !!! I’m stuck
Kruka [31]

Answer:

2/3 ≈ 0.6667

Step-by-step explanation:

apply soh cah toa

sine=opposite/hypo

sine=4/6

sine=2/3

4 0
3 years ago
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