Solve the equation below please. 5-1/2x=5/8x+2
2 answers:
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Answer:
B) Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.
Step-by-step explanation:
From data of survey we can estimate the proportion of the sample whose favorite pizza is pepperoni. That is 40 (say pepperoni is the favorite) from 150 (total of sample).
Proportion would be that is 27%.
Now we can calculate 27% of total of residents (2,800). We should multiply 27% by 2,800.
which is close to 750.
So we can conclude that yes, 750 is a reasonable estimate because the proportion of the sample whose favorite pizza is pepperoni is about 27%
Step 1: Writing Null and Alternate Hypothesis
First we need to write the Null and Alternate Hypothesis for this problem.
Researcher claims that mileage will be increased on addition of Fuel additive. So the null and alternate hypothesis will be:
: μ ≤ 25.1 (Null Hypothesis)
: μ > 25.1 (Alternate Hypothesis)
This is a Right Tailed Test. Since population standard deviation is not know, we will use t-test to check the researchers claim.
Step 2: Finding Test Statistic
Sample Mean = x = 26.8
Standard Deviation = s = 3.9
Sample Size = n = 35
Degrees of Freedom = df = n - 1 = 34
Test statistic(t) is given by:
Step 3: Finding p value
Using t table or calculators find the p value for t=2.579 with 34 degrees of freedom for one tailed test.
P value comes out to be:
p = 0.0072
Step 4: Conclusion
Since the p value is lesser than the significance level of 0.05, we reject the Null Hypothesis.
We have enough evidence to support the researcher's claim that the new additive increases the miles per gallon of the cars.
First we need to write the Null and Alternate Hypothesis for this problem.
Researcher claims that mileage will be increased on addition of Fuel additive. So the null and alternate hypothesis will be:
This is a Right Tailed Test. Since population standard deviation is not know, we will use t-test to check the researchers claim.
Step 2: Finding Test Statistic
Sample Mean = x = 26.8
Standard Deviation = s = 3.9
Sample Size = n = 35
Degrees of Freedom = df = n - 1 = 34
Test statistic(t) is given by:
Step 3: Finding p value
Using t table or calculators find the p value for t=2.579 with 34 degrees of freedom for one tailed test.
P value comes out to be:
p = 0.0072
Step 4: Conclusion
Since the p value is lesser than the significance level of 0.05, we reject the Null Hypothesis.
We have enough evidence to support the researcher's claim that the new additive increases the miles per gallon of the cars.
Answer:
B. 36 in.
Step-by-step explanation:
Length of the scale drawing (L) = 6.1 in.
Width of the scale drawing (W) = 1.8 in.
Actual length = 122 in.
Using the scale drawing we can apply the rules of three of proportions to find the actual width.
Thus, set the ratio of the scale drawing length to width, equal to the ratio of the actual length to width:
Cross multiply
Divide both sides by 6.1
Actual width of the rectangle = 36 in.