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3 years ago

Use mental math to find the amount of a 12% shipping fee for an item that costs $250. Explain your steps.

Mathematics

2 answers:

makvit [3.9K]3 years ago

8 0

The shipping fee is $30
1. 12%×250
= 250×12/100
= 2.5 ×12
= 5/2×12
=60/2
=30

TiliK225 [7]3 years ago

8 0

Think of it this way: Make the 250 25 and the 0.12 to 1.2 to make it easier to multiply. Then, you multiply 25 by 1, and then by 2. You divide the answer you got from 2*25 by 10, to keep the decimal place in place (you get 5). Then, you add the products of 25*1 and 25*0.2, and get 30 in all.

Hope this helps!

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When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.

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Answer:

-1

Step-by-step explanation:

You can write it as...

$x^{2} -5=4x$

Carry the 4x

$x^{2} -4x-5=0$

Then use the quadratic formula to solve, since you want to find the negative solution, you don't need to find the positive solution, so we will have

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3 years ago

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

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Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

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