Answer:
41101.750 to 43898.250
Step-by-step explanation:
Using this formula X ± Z (s/√n)
Where
X = 42500 --------------------------Mean
S = 6800----------------------------- Standard Deviation
n = 64 ----------------------------------Number of observation
Z = 1.645 ------------------------------The chosen Z-value from the confidence table below
Confidence Interval Z
80%. 1.282
85% 1.440
90%. 1.645
95%. 1.960
99%. 2.576
99.5%. 2.807
99.9%. 3.291
Substituting these values in the formula
Confidence Interval (CI) = 42500 ± 1.645(6800/√64)
CI = 42500 ± 1.645(6800/8)
CI = 42500 ± 1.645(850)
CI = 42500 ± 1398.25
CI = 42500+1398.25 ~. 42500-1398.25
CI = 43898.25 ~ 41101.75
In other words the confidence interval is from 41101.750 to 43898.250
To find a 90% confidence interval for the mean starting salary, use the formula CI = sample mean ± (Z * sample standard deviation / √n).
To find a 90% confidence interval for the mean starting salary, we will use the formula:
CI = sample mean ± (Z * sample standard deviation / √n)
Given that the sample mean is $42,500, the sample standard deviation is $6,800, and the number of college graduates is 64, we can substitute these values into the formula to calculate the confidence interval. The lower-bound is $41,101.87 and the upper-bound is $43,898.13.
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the answer is 8 and 16
did he work?
The answer is 50.5 hours
all you have to do is add all the hours up to get the grand total.
Hope this helps
have a great day!
Answer:
$540
Step-by-step explanation:
Define x as:
x = the Original Price, in dollars ($)
Then,
x - (80%)x = 108, where we note that (80%)x is the reduction amount, so that
20%x = 108,
0.2x = 108,
x = 108/0.2 = $540
The original price of the sofa was $540.
After an 80% reduction, you purchase a new sofa on sale for $108. What was the original price?
To find the original price, we need to determine what the 80% reduction represents in terms of the original price. If the sale price is 80% of the original price, then we can set up the equation: sale price = 0.2 * original price. We know the sale price is $108, so we can solve for the original price by dividing both sides of the equation by 0.2: original price = $108 / 0.2 = $540. Therefore, the original price of the sofa was $540.
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Answer:
2683
Step-by-step explanation:
Using the linear regression equation that predict the relationship between the weight of the luggage and the total number of passenger y = 103 + 30x, we can plug in the number of passenger x = 86 to predict the weight of the luggage on a flight:
y = 103 + 30*86 = 2683
We can use the is/of=p/100 method for this problem. Since it's 15% off, this would mean that the bill is 85% of what it was initially. Plug the values into the is/of=p/100 formula.
36.72/x = 85/100
Solve for x.
x=36.72/0.85
x=43.2
So, the bill was $43.20 before applying the voucher discount of 15% off.
The answer is 244.80
You can calculate this by taking 36.72 and dividing it by 0.15 (15%). You would do this because it is the opposite of multiplying an original number by 0.15 (15%) to get 36.72.
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