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Alexandra [31]
3 years ago
6

Jose is training for a cross country ATV race. The ratio of the riding part to the climbing part is 2:9 . If he wants to train u

sing the same ratio , and he rode 84 miles, how many miles should he climb?
Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0
84 / 2 = 42 so 42 × 9 = 378
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Alma got to the playground at 2:45.she spent 20 minutes on the swings and 10 minutes on the jungle gym. She played on the slide
Archy [21]

Answer:

Alma got home at 3:27

Step-by-step explanation:

2:45+30 min=3:15

3:15+12 min = 3:27

3 0
3 years ago
If the Math Olympiad Club consists of 13 students, how many different teams of 5 students can be formed for competitions?
rjkz [21]

Answer:

2 teams

Step-by-step explanation:

13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.

4 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
3 years ago
The sum of 5.75 and half a number is -5. What is the number? Please help!
barxatty [35]

Answer:

5.75 +  \frac{x}{2}  =  -  5 \\  \frac{x}{2}  =  - 5 - 5.75 \\  \frac{x}{2}  =  - 10.75 \\ x =  - 21.5

4 0
3 years ago
A. 1 and 8 <br> B. 4 and 6<br> C. 5 and 6<br> D. 1 and 7 <br> Please tell me why
andre [41]
1 and 7 because they have the same angles

6 0
3 years ago
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