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katen-ka-za [31]
3 years ago
13

Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Which measurement is closest to the side

length of this canvas in inches? 8 in. 9 in. 19 in. 39 in. say the number and tell me why you got it.
Mathematics
1 answer:
ryzh [129]3 years ago
3 0

Answer:

<h2>9 in</h2>

Step-by-step explanation:

Since the square canvas was completely covered using 77.8 in.² of fabric without any overlap, to get the side length of the canvas, we will use the formula for calculating the area of a square.

Area of a square = Length * Length

A = L*L

A = L²

Given the Area of the area of the square canvas as 77.8 in², on substituting this values into the formula to get L we have;

77.8 = L²

Take the square root of both sides

√77.8 = √L²

L = √77.8

L = 8.82 in

L ≈ 9inches

The length 8.82in gotten was approximated to 9in because <em>the first value after the decimal point is greater that 4 and once we have such case 1 will be added to the value before the decimal point i.e 8 to make it 9</em>.

<em>Hence measurement that is closest to the side length of this canvas in inches is 9inches.</em>

<em></em>

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Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population
Pie

Answer:

a

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

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The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

b

Yes it  involves a statistical test

The population parameter(s) of interest is  

   The sample size is  n =  100

    The average reaction time of the right hands for the right-handed participants  \mu_R

    The average reaction time of the left hands for the left-handed participants   \mu_L

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

c

Yes it  involves a statistical test

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The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

Step-by-step explanation:

Considering the first statement

Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, the analysis does involve a statistical test.

The null hypothesis is  H_o :  \mu_R = \mu_L,

The alternative hypothesis is H_a: \mu_R < \mu_L

Here \mu_R is the average reaction time of the right hands for the right-handed participants

and  \mu_L is the average reaction time of the left hands for the left-handed participants

Considering third statement  

Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.

The percentage of people in the community living in a mobile home is denoted with  p

The sample size is  n =  1000

The null hypothesis is  H_o :  p =10\% = 0.01,

The alternative hypothesis is H_a: p >10\% =  0.01

3 0
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9 × lw = 9lw

Therefore, the total cost of the box as a function of the length land width is

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