Tess earned

Dylan just started a running plan where he runs 14 miles the first week and then increases the number of miles he runs by 10% ea

Vladimir79 [104]

Answer:

36 miles

Step-by-step explanation:

Given - Dylan just started a running plan where he runs 14 miles the first

week and then increases the number of miles he runs by 10% each

week.

To find - If he keeps up this plan for 11 weeks, how many total miles would

Dylan have run ?

Proof -

1st week = 14 miles

2nd week = 14 + 10% of 14 = 14 + 1.4 = 15.4

3rd week = 15.4 + 10% of 15.4 = 15.4 + 1.54 = 16.94

4th week = 16.94 + 10% of 16.94 = 16.94 + 1.694 = 18.634

5th week = 18.634 + 10% of 18.634 = 18.634 + 1.8634 = 20.4974

6th week = 20.4974 + 10% of 20.4974 = 20.4974 + 2.04974 = 22.54714

7th week = 22.54714 + 10% of 22.54714 = 22.54714 + 2.254714 = 24.801857

8th week = 24.801857 + 10% of 24.801857 = 24.801857 + 2.4801857 = 27.2820427

9th week = 27.2820427 + 10% of 27.2820427 = 27.2820427+ 2.72820427 = 30.01024697

10th week = 30.01024697 + 10% of 30.01024697 = 30.01024697 + 3.001024697 = 33.01127167

11th week = 33.01127167 + 10% of 33.01127167 = 33.01127167 + 3.301127167 = 36.31239884 ≈ 36

∴ we get

Total miles Dylan would run = 36 miles.

8 0

3 years ago

In the school band, there are 4 trumpet players and F flute players.The total number of trumpet and flute players is 12. Are the

Annette [7]

Yes there are 8 flute players
The equation is
4+F=12
Subtract 4 from both sides you have F=8

8 0

4 years ago

Patrick has a 600-meter skein of yarn. He used 248.9 meters of yarn to make a hat. Does he have enough yarn to make an scarf tha

Masja [62]

Patrick has a total of 600 meters skein of yarn.

He used 248.9 meters of yarn to make a hat.

Now, If he has used 248.9 meters of yarn, we need to find how much yarn has he left.

We need to subtract the amount of yarn used from the total length. That is, 248.9 from 600.

$600-248.9=351.1$

So, now Patrick has left 351.1 meters of yarn.

Patrick needs to make a scarf that needs 354.03 meters of yarn but after making a hat he has left with only 351.1 meters of yarn. Therefore, Patrick does not have enough yarn to make a scarf.

6 0

3 years ago

Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9

mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that $\mu = 20.5, \sigma = 0.9$