Answer:
1, 3, & 5
Step-by-step explanation:
Select three options.
1. The inequality should be written as 25 s less than 300.
2. The inequality should be written as 25 s greater than 300.
3. The circle is open.
4. The circle is closed.
5. The arrow points left.
I'm guessing these are the options? If so, please mark brainliest :)
Answer:
23.52 miles
Step-by-step explanation:
Let us find the number of miles that they would have run.
Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.
Let the time she has spent so far be t.
Speed is given as:
s = d / t
where d = distance and t = time
=> d = s * t
Therefore, for Kana:
d = 7 * t = 7t _____________(1)
Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.
25 minutes = 25/60 hour = 0.42 hour
So, his time (compared to Kana's) is t - 0.42.
therefore, for Ji-Hun:
d = 8 * (t - 0.42)
=> d = 8t - 3.36 ____________(2)
Equating (1) and (2):
7t = 8t - 3.36
=> 8t - 7t = 3.36
t = 3.36 hours
Therefore, let us find d:
d = 7 * 3.36 = 23.52 miles
So, Ji-Hun will catch up to Kana after 23.52 miles.
Answer:
1,082
Step-by-step explanation:
The sample size n in Simple Random Sampling is given by
where
z = 1.645 is the critical value for a 90% confidence level (*)
s = 2 is the estimated population standard deviation
e = 0.1 mm points is the margin of error
so
rounded up to the nearest integer.
So the manufacturer should test 1,083 parts.
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(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1
It can be obtained in Excel with
NORMINV(1-0.05,0,1)
and in OpenOffice Calc with
NORMINV(1-0.05;0;1)
Answer:
Step-by-step explanation:
Given that bottle was half full at 11.35 a.m. and full at 11.40 a.m.
This implies it takes 5 minutes for the liquid to double.
This is confirmed by the statement that before 5 minutes i.e. at 11.30 the bottle was only 1/4 full.
Hence true statements would be:
1) The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.
2) The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes. The bottle was 1/2 full at 11:35 a.m.
3) Exponential growth involves a constant multiplicative rate of change.
(The rate cannot be additional as we get 2 times every 5 minutes)
