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3 years ago

How to use a yardstick to measure a rug?

2 answers:

3 0

You need to take the yard stick and measure to find the middle. (measure each way, make marks with sticky notes if needed) and then multiply the two measurement of two sides, (one from the top, one from the side) and that will be the "area" of the rug. If you don't need the area, take the two numbers and for example show them as, "18x6" meaning, a (area) = 108.

stiks02 [169]3 years ago

3 0

You could take the yard stick and measure one time to 3 feet then do the same thing until it stops to the end of the rug.

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If f(x)=x and g(x)=2, what is (f o g)(x)?

IgorC [24]

Answer:

= 2x

Step-by-step explanation:

6 0

2 years ago

1000 households were surveyed. 275 households own a desktop computer, 455 households own a DVD player, 405 households own two ca

icang [17]

Answer:

Step-by-step explanation:

From the given information,

Suppose

X represents the Desktop computer

Y represents the DVD Player

Z represents the Two Cars

Given that:

n(X)=275

n(Y)=455

n(Z)=405

n(XUY)=145

n(YUZ)=195

n(XUZ)=110

n((XUYUZ))=265

n(X ∩ Y ∩ Z) = 1000-265

n(X ∩ Y ∩ Z) = 735

n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)

145 = 275+455 - n(X ∩ Y)

n(X ∩ Y) = 585

n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)

195 = 455+405-n(Y ∩ Z)

n(Y ∩ Z) = 665

n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)

110 = 275+405-n(X ∩ Z)

n(X ∩ Z) = 570

a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)

n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735

n(X ∪ Y ∪ Z) = 50

c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)

n(X ∪ Y ∪ C') = 145-50

n(X ∪ Y ∪ C') = 95

6 0

3 years ago

Which of the following are abiotic factors in an ecosystem? (select all)

borishaifa [10]

Water. ••• All living organism needs some water intake.

6 0

2 years ago

Don operates a taxi business, and this year one of his taxis was damaged in a traffic accident. The taxi was originally purchase

scoray [572]

I believe the answer is c

3 0

3 years ago

A manufacturer of a new medication on the market for Parkinson's disease makes a claim that the medication is effective in 75% o

ale4655 [162]

Answer:

Claim is rejected

Step-by-step explanation:

Solution:-

- The claim was made on the effectiveness of medication on the market of Parkinson's disease to be p = 75%.

- A random sample was taken of N = 150 individuals and n = 100 number of people reported that it was effectively.

- We are to test the claim made by the manufacturer of the medication based on the statistics available for the sample N.

- State the hypothesis for the effectiveness of medication:

Null Hypothesis: p = 0.75 ... Claim

Alternate hypothesis: p < 0.75 .... Test

- The conditions of standard normality:

n*p > 5 , 150*0.75 = 112.5 .. ( Check )

n*(1-p) > 5 , 150*0.25 = 37.5 .. ( Check )

Hence, the standard normal test is applicable. Assuming the population proportion to be normally distributed.

- We will estimate the population proportion with the sample proportion ( p* ):

p* = n / N

p* = 100 / 150

p* = 2/3 = 0.667

- Testing against the claimed population proportion ( p ) = 0.75. The standard normal statistic value is given by:

$Z-test= \frac{(p^* - p)}{\sqrt{p(1-p) / N} } \\\\Z-test= \frac{(0.6667 - 0.75)}{\sqrt{0.75(0.25) / 150} } \\\\Z-test= \frac{-0.0833}{\sqrt{0.00125} } \\\\Z-test= -2.35607 \\$

- We will see whether the Z-test statistic falls in the rejection region defined by the critical value of Z at significance level ( α ) of 0.05.

- The rejection region is defined by the Alternate hypothesis which is less than the claimed value. So, the rejection region defined by the lower tail of the standard normal.

- So for lower tailed test the critical value of statistics is:

P ( Z < Z-critical ) = α = 0.05

Z-critical = - 1.645

- The rejected values all lie to the left of the Z-critical value -1.645

- The claim test value is compared the rejection region:

-2.35607 < -1.645

Z-test < Z-critical

Hence, Null hypothesis rejected because test lies in the rejection region.

Conclusion:

The Null hypothesis or claim made by the manufacturer of Parkinson's disease medication of 75% effectiveness is without sufficient evidence. Hence, the claim made is false or has no statistical evidence.

4 0

2 years ago