Answer: <u><em>Miles ran by Matt = 6 miles</em></u>
Step-by-step explanation: Miles ran by Stan = 4 7/10
i.e. 1 3/10 miles less than Matt.
∴ Miles ran by Matt = 4 7/10 + 1 3/10 = 60/10 = 6miles
∴<u><em> Miles ran by Matt = 6 miles</em></u>
<u><em /></u>
Answer: (0.8468, 0.8764)
Step-by-step explanation:
Formula to find the confidence interval for population proportion is given by :-

, where
= sample proportion.
z* = Critical value
n= Sample size.
Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.
Given : Sample size = 3597
Number of students believe that they will find a job immediately after graduation= 3099
Then, 
We know that , Critical value for 99% confidence interval = z*=2.576 (By z-table)
The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be


Hence, the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. = (0.8468, 0.8764)
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
Answer:
The total price for ant farm is $12.84
Step-by-step explanation:
The price of ant farm = $ 12
The sales tax on the price = 7%
Noe, 7% of $12 = 
⇒The tax amount on the price = $0.84
So, the Taxed amount = The original price + Tax
$ 12 + $0.84 = $12.84
Hence the total price for ant farm is $12.84