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mixer [17]
3 years ago
6

25 points if you answer. Martin Rode his bike 3 2/3 miles in 16 1/2 minutes. Assume he wrote the same speed the entire time. Ho

w fast did he ride in miles per minute?
Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

The speed is 2/9 miles per minute

Step-by-step explanation:

Speed is defined as the distance covered per unit time.

The formula for speed is given by:

Speed = \frac{distance}{time}

Let s be the speed, d be the distance and t be the time then

s = \frac{d}{t}

Given

d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes

The speed will be calculated by dividing the number of miles by minutes

So putting the values in the formula

s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}

Hence,

The speed is 2/9 miles per minute

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Paladinen [302]

Answer:

HCF of 15 and 18 = 3

3ft long is the greatest he can make

5 0
3 years ago
In a sample of 1000 cases, the mean of a certain test is 14 and the standard deviation is 2.5. Assume the distribution to be nor
Maslowich

Answer:

The top 20% of the students will score at least 2.1 points above the mean.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

The mean of a certain test is 14 and the standard deviation is 2.5.

This means that \mu = 14, \sigma = 2.5

The top 20% of the students will score how many points above the mean

Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.

Their score is:

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

0.84 = \frac{X - 14}{2.5}

X - 14 = 0.84*2.5

X = 16.1

16.1 - 14 = 2.1

The top 20% of the students will score at least 2.1 points above the mean.

7 0
2 years ago
Help on question 5 please
Yakvenalex [24]

Answer:

LM+MN=LN

3x-5+x+7=17

4x=17+5-7

4x=15

x=15/4=3.75

LM= 3x-5=3*3.75-5=6.25

Step-by-step explanation:

7 0
3 years ago
Suppose that a company claims that its air fresheners last 23 days, on
pashok25 [27]

Answer:

95 - 23 = 17

Step-by-step explanation:

This is the answer because it is subtracted so that you get the answer

8 0
3 years ago
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles.
EastWind [94]
Green: 3/12
Black: 1/4
5 0
1 year ago
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