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2 years ago

Mark got 20% raise for his salary. If this salary was $1800 what is the new salary

1 answer:

7 0

Salutations!

Mark got 20% raise for his salary. If this salary was $1800 what is the new salary?

So lets solve this!

Mark got 20% "raise" for his salary. It clearly indicates that it is percentage of increase, so therefore, after solving out all the sum, we would be adding up 1800 to get the total of the new salary.

Lets form this into statements ----

Percentage increase = 20%

Mark's old salary = $1800

Mark's new salary = 20 × 1800/100

Cancel out the zeros to make it more logical ----

20 × 18/1

= 360.

Now, we need to add 1800 and 360 to get Mark's new salary

1800 + 360 = $2160.

Mark's new salary is $2160.

Hope I helped :D

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saveliy_v [14]

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b)0.111

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Step-by-step explanation:

We are given the following information in the question:

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Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

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Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$

$P(300 \leq x \leq 500) = 61.2\%$

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

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$P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03$

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Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28$

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

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