Answer:
Total cost of cementing the path = Rs. 17,000.
Step-by-step explanation:
Let the square garden be ABCD
Let the region inside the garden (ABCD) be WXYZ.
<u>Given the following data;</u>
Length of sides of ABCD = 90m
Width of path = 5m
Cost = Rs. 10 per m²
Area of ABCD = 90 * 90
Area of ABCD = 8100m²
<em>To find the area of WXYZ;</em>
WX = WZ = 90 - (5 + 5)
WX = WZ = 90 - 10
WX = WZ = 80m
Area of WXYZ = WX * WZ
Substituting into the equation, we have;
Area of WXYZ = 80 * 80
Area of WXYZ = 6400 m²
Area of path = Area of ABCD - Area of WXYZ
Area of path = 8100 - 6400
Area of path = 1700 m²
Total cost of cementing the path = Area of path * cost
Total cost of cementing the path = 1700 * 10
<em>Total cost of cementing the path = Rs. 17,000</em>
Answer:
Option a) Compare the level of significance to the confidence coefficient.
Step-by-step explanation:
We are given the following information in the question:
We are performing a two-tailed test hypothesis. We can follow the following approaches:
Option a) Compare the level of significance to the confidence coefficient.
This cannot be used to perform hypothesis.
Option b) Compare the value of the test statistic to the critical value.
If the test statistic lies in the acceptance region evaluated by the critical value, we accept the null hypothesis. If not, we reject the null hypothesis.
Option c) Compare the confidence interval estimate of μ to the hypothesized value of μ.
If the estimated population lies in the calculated confidence interval, we accept the null hypothesis otherwise, we reject the null hypothesis.
Option d) Compare the p-value to the value of α.
If the p-value is greater than the significance level, we accept the null hypothesis. If it is lower than the significance level, we reject the null hypothesis.
Answer:
So then the probability that the batch would be accepeted is:
Step-by-step explanation:
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
On this case p=0.04 represent the probability that a random the tablet would be NOT accepted
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:
So then the probability that the batch would be accepeted is:
