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4 years ago

Use z scores to compare the given values.

Mathematics

1 answer:

Goryan [66]4 years ago

5 0

Answer:

Z for males = 2.57

Z for females = 2.06

male value is more extreme

Step-by-step explanation:

Z score represents how many standard deviation you are from the mean.

The formula is:

Z = (Value - Mean)/(ST. DEV.)

For newborn males:

Z = (1500-3292.4)/697.5 = 2.57

For newborn females:

Z = (1500-3000.6)/727.9 = 2.06

Z score for newborn males is bigger, therefore 1500 is more extreme relative to the group

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Pedro le dice a María si cambias los billetes de 10 € que tienes por billetes de 5 € y los billetes de 5 € por billetes de 10 €

Bad White [126]

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:

$\left \{ {{f+t=20} \atop {5f+10t=10f+5t}} \right.$

Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

$f=20-t$

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

Then:

$5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10$

3. Substitute the value of "t" into the equation $f=20-t$ and evaluate:

$f=20-10\\\\f=10$

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

$Total=10(5)+10(10)=150$

She has a total of 150€.

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