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Step2247 [10]
3 years ago
10

A cyclist rides her bike at a speed of 10 miles per hour. What is this speed in kilometers per hour? How many kilometers will th

e cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Mathematics
2 answers:
myrzilka [38]3 years ago
7 0

Answer:

16 kilometers per hour

48 kilometers

Step-by-step explanation:

10m/ph -> km/hr

since 1 mile is equal to 1.6 kilometers, we use this to convert.

10miles x 1.6 kilometers

10 x 1.6 = 16

so, the answer is 16 kilometers per hour

To find out how many kilometers they travel in three hours, we multiply our last answer times three.

16 x 3 = 48

48 kilometers

This is because the cyclist is traveling at 16 kilometers per hour so we multiply it by the three hours in the question.

ddd [48]3 years ago
4 0

Answer: 48.2803

Step-by-step explanation: well in 10 km, it's 16.09 so that times 3 hrs/30=48.2803

Since it's 10 miles per (hour) then every hour she would travel 10 miles so by the 3rd hour, she'd have traveled 48.28 kilometers

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bija089 [108]

Answer:

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

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Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(score of the 36 golfers was between 70 and 71)

\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}

P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%

P(70 \leq x \leq 71) = 47.7\%

0.477 is  the probability that the average score of the 36 golfers was between 70 and 71.

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4 years ago
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