What is the approximate area of the garden?
1 answer:
Answer:
Option D
Step-by-step explanation:
By applying Pythagoras theorem in triangle ABC,
(Hypotenuse)²= (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
AC² = (40 - 15)² + (80 - 75)²
AC² = (25)² + 5²
AC² = 650
AC = √650
AC = 25.495 ft
Since, area of a rectangle = Length × Width
Therefore, area of the garden = 25.495 × 6
= 152.97
≈ 153 ft²
Since, 150 is very close to 153, approximate area of the rectangular garden is 150 ft².
Option D is the answer.
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Answer:
The p value obtained was a very high value and using the significance level assumed we have
so we can conclude that we have enough evidence to FAIl to reject the null hypothesis, and we can said that at 5% of significance the proportion of graduates from the previous year claim to have encountered unethical business practices in the workplace is not significant different from 0.34.
Step-by-step explanation:
1) Data given and notation
n=116 represent the random sample taken
X represent the number graduates from the previous year claim to have encountered unethical business practices in the workplace
estimated proportion of graduates from the previous year claim to have encountered unethical business practices in the workplace
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the proportion is 0.34 or no.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
The p value obtained was a very high value and using the significance level assumed we have
so we can conclude that we have enough evidence to FAIl to reject the null hypothesis, and we can said that at 5% of significance the proportion of graduates from the previous year claim to have encountered unethical business practices in the workplace is not significant different from 0.34.