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san4es73 [151]
3 years ago
14

A motorist traveled 6km in 30 mins

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

6km in 30 min so he traveled at a speed of 12km per hour;

In 2 hours he will travel 24km;

12km in 60 min

9km in ? min

?=9x60/12=45 minutes will take to travel 9 km at the speed of 12km/h

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Look at each number and see which has the greatest value and which has the least then  just put the smallest first then work your way to the greatest value. 
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A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
snow_tiger [21]

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

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Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

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Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = \frac{\text{Distance traveled}}{\text{Time}}

                                             = \frac{60}{1}

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Read 2 more answers
Public health officials claim that people living in low income neighborhoods have different Physical Activity Levels (PAL) than
Naddika [18.5K]

Answer:

The z-score for this data is Z = -0.26.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

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This means that \mu = 1.65, \sigma = 0.55

A study took a random sample of 51 people who lived in low income neighborhoods and found their mean PAL to be 1.63.

This means that n = 51, X = 1.63

Using a one-sample z test, what is the z-score for this data

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

By the Central Limit Theorem

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

Z = \frac{1.63 - 1.65}{\frac{0.55}{\sqrt{51}}}

Z = -0.26

The z-score for this data is Z = -0.26.

4 0
3 years ago
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