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ohaa [14]
3 years ago
14

If you only have the original price ($24.50) and the discount is 18% how do you find the sale price?

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0
You multiply 24.50 by the decimal form of 18%, 0.18.
So, 24.50 x 0.18 = 4.41
So 18% of 24.50 is 4.41. So you subtract 4.41 from 24.50
24.50 - 4.41 = 20.09
So the sale price is $20.09
IRISSAK [1]3 years ago
3 0
Imagine that 24.50 is 100%. When you get a discount, you have to devide. So from there you find out 50% the 25% and so on...
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san4es73 [151]
Area of square = a^2 = 4^2 = 4 x 4 = 16

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The children's section is rectangular and has three of its corners at (-10, 10), (-10, 4), and (-3, 10). What is the area of the
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Step-by-step explanation:

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3 years ago
Which value of x is a solution of the inequality 25x - 100 < 250?
Leona [35]

Answer:

inequality form: x<14

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
3 years ago
"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean
Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0
3 years ago
One month Yoko rented 3 movies and 5 video games for a total of $40. The next month she rented 9 movies and 7 video games for a
KATRIN_1 [288]

Answer:

  • movie: $3.75
  • video game: $5.75

Step-by-step explanation:

Two equations in two unknowns can be written:

  3m +5v = 40

  9m +7v = 74

These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to

  • ax +by = c
  • dx +ey = f

is given by ...

  • ∆ = bd -ea
  • x = (bf -ec)/∆
  • y = (cd -fa)/∆

For the numbers above,

  • ∆ = 5·9 -7·3 = 24
  • m = (5·74 -7·40)/24 = 90/24 = 3.75
  • v = (40·9 -74·3)/24 = 138/24 = 5.75

The rental cost for each movie is $3.75; for each video game, it is $5.75.

___

The attached graph shows a graphing calculator solution to these equations.

5 0
3 years ago
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