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Sedaia [141]
2 years ago
14

How far can a cyclist travel in 1.5 hours if his average speed is 12 km/hr?

Mathematics
1 answer:
Lesechka [4]2 years ago
5 0

Answer:

A cyclist can travel 18 kilometres in 1.5 hours.

Step-by-step explanation:

The ratio for the cyclist's speed is 12 km/1 hr. If I were to find the ratio for kilometres per 1.5 hour, I would need to multiply the denominator of 1 (aka 1 hour) by 1.5 to get (1.5 hours). Whatever you do to the bottom, you have to do to the top. So I multiply the numerator of 12 (12 km) by 1.5 to get 18 km.

12 km/1 hr → 18 km/1.5 hrs

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Solve the equation. | 2x + 0.75 |=5 6/7
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Answer:

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Step-by-step explanation:

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2 years ago
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Find the 95% confidence interval for estimating the population mean μ
AVprozaik [17]

We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.

Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).

Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.

<h3>Confidence Interval Formula</h3>

The formula for constructing a <u>confidence interval for means</u> is as follows:

  • \displaystyle \overline{x} \pm t^*\big{(}\frac{\sigma}{\sqrt{n} } \big{)}

We are given these variables:

  • \overline{x}=50
  • n=60
  • \sigma=10

Plug these values into the formula for the confidence interval:

  • \displaystyle 50\pm t^* \big{(}\frac{10}{\sqrt{60} } \big{)}

<h3>Finding the Critical Value (t*)</h3>

In order to find t*, we can use this formula:

  • \displaystyle \frac{1-C}{2}=A

Calculating the z-score associated with "A" will give us t*.

So, let's plug in the confidence interval 95% (.95) into the formula:

  • \displaystyle \frac{1-.95}{2}=.025

Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:

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<h3>Constructing Confidence Interval</h3>

Now, let's finish the confidence interval we created:

  • \displaystyle 50\pm 1.96 \big{(}\frac{10}{\sqrt{60} } \big{)}

We can calculate the confidence interval, using this formula, to be:

  • \boxed{(47.4697, \ 52.5303)}

<h3>Interpreting the Confidence Interval</h3>

We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.

8 0
2 years ago
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Answer:

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Step-by-step explanation:

it is 30° because it is smaller that the it is 60° but bigger then the it is 90°(right angle)

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Marat540 [252]
He weighs about 200 lb.
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a recipe of cookies uses 220 g of butter and 110 g of caster sugar and 275 grams of flour what is the ratio of sugar to flour to
andre [41]

Answer: 22 to 55 to 44


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3 years ago
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