Answer:
15.6km
Step-by-step explanation:
Given the map scale 1:200000
1cm on the map represents 200000 cm on ground or in actual distance
Hence, if distance from Belfast to Larne is 7.8vm on map ;
Actual distance will be :
7.8 * 200000 = 1560000 cm
Converting to km :
Recall :
1000 m = 1km
100 cm = 1 m
Hence,
100000 cm = 1km
Therefore, (1560000 / 100000) km
= 15.6km
Hence, distance between Belfast and Larne is 15.6km
Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,

To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:

*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.
Answer: Maria has 10 bills of 5€ and 10 bills of 10€.
She has a total of 150€.
Step-by-step explanation:
Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.
Set up a system of equations:

Use the Substitution method to solve the system of equations:
1. Solve for "f" from the first equation:

2. Substitute the equation obtained into the second equation and solve for "t".
Then:

3. Substitute the value of "t" into the equation
and evaluate:

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.
So the total amount of money she has, is:

She has a total of 150€.
Answer:
$3.85? 12/3.12 = $3.85
The answer would have came out of 3.84615384615
Then round up the answer to 3.85. So the unit price is $3.85.