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3 years ago

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Harry catches the train from Belfast to Dublin at 4pm. The average speed of the train is 70 mph and the distance between Belfast

and Dublin is 105 miles. What time does Harry arrive in Dublin?

1 answer:

finlep [7]3 years ago

4 0

Answer:

$Arrival\ Time = 5:30\ pm$

Step-by-step explanation:

Given

$Current\ Time = 4pm$

$Speed = 70mph$

$Distance = 105miles$

Required

Determine the arrival time

First, we calculate the time taken from Belfast to Dublin using:

$Speed = \frac{Distance}{Time}$

Substitute values to the expression.

$70 = \frac{105}{Time}$

Cross Multiply

$70 * Time = 105$

$Time = \frac{105}{70}$

$Time = 1.5\ hour$

Arrival time is then calculated as:

$Arrival\ Time = Current\ Time + Time\ Taken$

$Arrival\ Time = 4pm + 1.5\ hour$

$Arrival\ Time = 5:30\ pm$

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Aloiza [94]

Answer:

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Step-by-step explanation:

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3 years ago

Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100

Taya2010 [7]

Answer:

IQ score of 102.55

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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, which is also the shaded area under the curve, 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.

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The shaded area under the curve is 0.5675.

This means that Z has a pvalue of 0.5675.

So, we have to find X when Z = 0.17.

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3 years ago

Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship

Mnenie [13.5K]

Answer:

k=27
y=27x

Step-by-step explanation:

3 tickets to attend an Off-Broadway show cost $81,

4 tickets cost $108; and

5 tickets cost $135.

Let the price of a ticket=k

Therefore:

3k=81
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Solving any of the equation above gives: x=27

We therefore have:

$\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|$

Let y be the total cost of x tickets

From the above, the constant of proportionality, k=27

An equation for the relationship is therefore:

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