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Nataliya [291]
3 years ago
12

A pair of roller skates is discounted by 40%. The normal price is $65. What is the discounted price?

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:$39

Step-by-step explanation:

The discounted price is going to be 60% of the original price because 100 - 40 = 60. So we want to find 60% of the original price, or 65. 65 x . 6 = 39, so the pair of rollerskates will be $39 at the discounted price.

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It is impossible to get 5 aces when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probab
lianna [129]

Answer: P(5A) = 0

Step-by-step explanation:

There are four aces in total in a 52 card deck. Therefore the probability of getting 5 aces can be expressed as;

P(5A) = 4/52 × 3/51 × 2/50 × 1/49 × 0/48 = 0

Therefore, it is impossible to get 5 aces from a standard 52 cards deck

8 0
3 years ago
4- A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produ
galben [10]

Answer:

\\ \mu = 118\;grams\;and\;\sigma=30\;grams

Step-by-step explanation:

We need to use z-scores and a standard normal table to find the values that corresponds to the probabilities given, and then to solve a system of equations to find \\ \mu\;and\;\sigma.

<h3>First Case: items from 100 grams to the mean</h3>

For finding probabilities that corresponds to z-scores, we are going to use here a <u>Standard Normal Table </u><u><em>for cumulative probabilities from the mean </em></u><em>(Standard normal table. Cumulative from the mean (0 to Z), 2020, in Wikipedia) </em>that is, the "probability that a statistic is between 0 (the mean) and Z".

A value of a z-score for the probability P(100<x<mean) = 22.57% = 0.2257 corresponds to a value of z-score = 0.6, that is, the value is 0.6 standard deviations from the mean. Since this value is <em>below the mean</em> ("the items produced weigh between 100 grams up to the mean"), then the z-score is negative.

Then

\\ z = -0.6\;and\;z = \frac{x-\mu}{\sigma}

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

<h3>Second Case: items from the mean up to 190 grams</h3>

We can apply the same procedure as before. A value of a z-score for the probability P(mean<x<190) = 49.18% = 0.4918 corresponds to a value of z-score = 2.4, which is positive since it is after the mean.

Then

\\ z =2.4\;and\; z = \frac{x-\mu}{\sigma}

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

<h3>Solving a system of equations for values of the mean and standard deviation</h3>

Having equations (1) and (2), we can form a system of two equations and two unknowns values:

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

Rearranging these two equations:

\\ -0.6*\sigma = 100-\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

To solve this system of equations, we can multiply (1) by -1, and them sum the two resulting equation:

\\ 0.6*\sigma = -100+\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

Summing both equations, we obtain the following equation:

\\ 3.0*\sigma = 90

Then

\\ \sigma = \frac{90}{3.0} = 30

To find the value of the mean, we need to substitute the value obtained for the standard deviation in equation (2):

\\ 2.4*30 = 190-\mu (2)

\\ 2.4*30 - 190 = -\mu

\\ -2.4*30 + 190 = \mu

\\ \mu = 118

7 0
3 years ago
Tommy has 6 more than 3 times the amount of money in his bank account than Judy. Judy has $7500 more than a number in her accoun
balu736 [363]

Answer: Judy: n+7500

Tommy: 3(n+7500)+6

Step-by-step explanation:

4 0
3 years ago
Show your work with long division please
Naya [18.7K]

Answer:

<h3>   __</h3><h3>0.63</h3>

Step-by-step explanation:

7/11 = no, add 0

70/11 = 6, so 0.6, remainder is 4, add 0

40/11 = 3, so 0.03, remainder is 7, add 0

70/11 = 6... and it goes on

<h3>The answer is 0.63 bar notation on both 6 and 3</h3>
4 0
3 years ago
A computer store bought a program at a cost of ​$20 and sold it at a selling price of ​$25. Find the percent markup.
lions [1.4K]

i dont know, sorry...............................................

5 0
3 years ago
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