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xxTIMURxx [149]
3 years ago
6

an item is regularly sold at $40. kala bought it at a discount of 35% off the regular price. how much did kala pay

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

To solve this problem, we must first find the discount amount, and then subtract this amount from the total price of the item.

To find the discount amount, we must find 35% of $40. To do this, we must first convert 35% to its decimal equivalent by dividing 35/100. We do this because percentages are parts out of a total 100 percent, thus this fraction represents an equivalent value that we can multiply by other numbers. Using our knowledge that 35/100 = 0.35, we can now set up our expression:

35% of $40 (keep in mind that the word "of" refers to multiplication in math)

0.35 * 40

To solve, we just multiply these two numbers together, which gives us 14.

This means that Kala got a discount of $14 off of the original price of $40. To find out how much she paid for it, we must subtract $14 from $40, as modeled below:

$40 - $14 = $26

Therefore, Kala paid $26 for the item.

Hope this helps!

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Step-by-step explanation:

Given:

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The time taken t by the ball to reach home plate:

S_x, plate = S_o,x + V_o,x * t

60 = 0  + 130*t

t = 60 / 130

t = 0.4615 s

The distance traveled by the ball in y-direction when it reaches home plate at t = 6 / 13 s:

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According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Supp
MA_775_DIABLO [31]

Answer:

A) Between 388 and 450

B) Between 357 and 481

C) Between 326 and 512

D) 99.995%

E) 72.907%

Step-by-step explanation:

We are given;

Mean; x¯ = 419 minutes

Standard deviation; σ = 31 minutes

A) From the empirical rule, 68% falls within 1 standard deviation.

Thus, it will be between;

419 - 1(31) and 419 + 1(31)

Thus gives;

Between 388 and 450

B) From the empirical rule, 95% falls within 2 standard deviation.

Thus, it will be between;

419 - 2(31) and 419 + 2(31)

Thus gives;

Between 357 and 481

C) From the empirical rule, 99.7% falls within 2 standard deviations.

Thus, it will be between;

419 - 3(31) and 419 + 3(31)

Thus;

Between 326 and 512

D)between 359 and 479 minutes, we will use z-s roe formula;

z = (479 - 359)/31

z = 3.871

From the z-table attached, we see that the probability is 0.99995 and as such, the percentage is 99.995%

E) worker spent 400 minutes on the job.

Thus;

z = (419 - 400)/31

z = 0.613

From z-tables, p = 0.72907

In percentage, we have; 72.907%

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