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avanturin [10]
3 years ago
6

Ivan drove 804 miles in 12 hours. At the same rate, how many miles would he drive in 9 hours?

Mathematics
1 answer:
algol133 years ago
6 0
805/12 to find the mph so answer to that is 67.08333333333333 rounded would be 67.08 and since you need 9 hours, 67.08 x 9 which is 603.72. 603.72 is your answer
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A sea lion dove from the water's surface at sea level to an altitude of −216.12 meters in 2.4 minutes. What is the average chang
Rudik [331]
Reduce the numbers by dividing both by 2.4 to get the distance traveled per min which is 90.05 meters a min, so every min its altitude decreases by 90.05 meters
6 0
3 years ago
Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10
son4ous [18]
There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
6 0
4 years ago
1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:32 Because the lid of a marker is wider than the marker itself, a set of markers can be p
tia_tia [17]

Answer:

10 Square Inches

Step-by-step explanation:

<u>Trapezoid</u>

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$

=\frac{1}{2}(10+12)*10\\=5*22=110 \:Square\:Inches

Area of the Trapezoid=110 Square Inches

<u>Rectangle</u>

Base = 12 inches

Height =10 inches.

Area of a Rectangle=Base X Height

=12 X 10

=120 Square Inches

<u>Difference in Area between the two packages</u>

Difference=Area of Rectangle-Area of Trapezoid

=120-110

=10 Square Inches

5 0
3 years ago
Read 2 more answers
Marcy bottles 17 gallons of root beer and 12 gallons of punch. She sells her drinks in quart bottles. How many bottles does she
densk [106]


we know that 1 gallon = 4 quarts so...

17 gallons of root beer + 12 gallons of punch = 29 gallons in total

29 gallons ÷ 4 = 7.25 quarts

so she needs 7 bottles of quarts for her 29 total gallons.

6 0
4 years ago
Share successful learning strategies that you have applied in previous mathematic courses
marshall27 [118]
Sure, I have this strategy to make a sheet with questions of that chapter and do that before I study the chapter so I can see if I know a little or a lot of that chapter
5 0
3 years ago
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