Answer:
The estimated 90% confidence interval for the average depth of all frames in the consignment ranges from a lower boundary of 105.419 mm to an upper boundary of 106.581 mm.
Explanation:
The confidence interval for the mean is calculated as mean +/- margin of error (E)
mean = 106 mm
sample sd = 3.5mm
n is the sample size = 100
degree of freedom = n-1 = 100-1 = 99
confidence level (C) = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
the critical value (t) for 99 degrees of freedom at a 10% significance level is 1.6602
E = t × sample sd/√n = 1.6602×3.5/√100 = 0.581 mm
Lower limit of mean = mean - E = 106 - 0.581 = 105.419 mm
Upper limit of mean = mean + E = 106 + 0.581 = 106.581 mm
The 90% confidence interval is (105.419 mm, 106.581 mm)
Response:
The interest rate is 5.7% $21.204
Clarification:
The formula for calculating simple interest is
I =
Given that
I = Interest, T = time;;R is rate; P = principal
John earned this interest by July 1, 1993 as follows:
I = 
= 72
Consequently, the total amount in John's account by July 1, 1993 would then be
= $300 + $72= $372
This indicates he utilized these funds at an interest rate of q.
On July 1, 1998, John’s total was $520, meaning the interest accumulated in these five years equals $520 - $372 = $148.
Using the simple interest formula: Interest = PRT/100
148 =
= 14,800 =2600q
q =
Thus, the rate is found to be 5.7%
The interest amount between July 1, 1993, and July 1, 1994 calculates as
I = 
= $21.204
Answer:
c. Sparkling water, evening wine tasting, four-star hotel restaurant
a. You need to persuade your coworkers to embrace a new software program that they find confusing.
b. You need to let go of your receptionist.
c. You are dispatching a past-due notice on an account.
Explanation:
In the first question, sparkling water, evening wine tasting, and dining at a four-star restaurant are specific items that align with the examples of food and drink and $100/night four-star accommodations from the scratch list.
In the subsequent question, a manager applies indirect strategies when conveying uncomfortable news to staff in a manner that minimizes negative psychological effects. For instance, informing someone about the termination is distressing and should be relayed indirectly, beginning with an explanation and positioning the primary information at the end of the message
