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tamaranim1 [39]
3 years ago
8

The distance covered by a car is directly proportional to the time taken. The car covers 91km in 3.5hours. how far does it cover

in 2.5 hours????? And if it travels 110.5km how long has it been travelling ?????
Mathematics
2 answers:
Leokris [45]3 years ago
8 0
Divide 91 by 3.5 that will give how many km per hour
juin [17]3 years ago
5 0
91 / 3.5 = 26 km per hour.
2.5 * 26 = 65 km
110.5 / 26 = 4.25 hours

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3y + x = 12<br> What is the value of x when y = 3?
Andre45 [30]

Step-by-step explanation:

3y + x = 12

When y = 3, we have 3(3) + x = 12.

=> 9 + x = 12, x = 3.

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2 years ago
Find the area of a parallelogram with base b and height h.
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3 years ago
olice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the
yan [13]

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

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 of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that \mu = 7.2, \sigma = 2.1

For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.

X = 9

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

Z = \frac{9 - 7.2}{2.1}

Z = 0.86

Z = 0.86 has a pvalue of 0.8051

X = 3

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

Z = \frac{3 - 7.2}{2.1}

Z = -2

Z = -2 has a pvalue of 0.0228

0.8051 - 0.0228 = 0.7823

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

4 0
3 years ago
A train traveling at 10m/s slows down to a complete stop in 20s. What is the
Flauer [41]

Answer:

The acceleration of the train is 0.5m/s²

Step-by-step explanation:

Given

Velocity of the train = 10m/s

Time taken = 20 s

Required

Find the acceleration of the train.

The Acceleration if an object is the rate of change of the velocity of the object over time.

In other words, acceleration is calculated by dividing velocity by time.

Mathematically,

Acceleration = velocity ÷ Time

By substituting 10m/s for velocity and 20s for time, we have

Acceleration = 10m/s ÷ 20s

Acceleration = 10/20 m/s²

Acceleration = ½m/s²

Acceleration = 0.5m/s²

Hence, the acceleration of the train is 0.5m/s²

6 0
3 years ago
In the area a square is 48 cm^2. What is the perimeter, in cm, of the square?
Dima020 [189]
Each side of the square is 7 cm (I found the square root of 49).

Then multiply this by 4 (or add by four) to get the perimeter.

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This means the perimeter is 28 cm. Hope this helps :)
7 0
2 years ago
Read 2 more answers
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