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Lyrx [107]
3 years ago
13

You received $70 for your birthday and you decide to go shopping. While shopping you find a pair of shoes that cost $50 and are

on sale for 10% off, a pair of sunglasses for $9.98, and a movie for $13.50. If sales tax is 6.5%, do you have enough money to buy all three items? If yes, how much money do you have left? If no, how much money are you short?
Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

Step-by-step explanation:

Its actually really easy if you know ur percentages. whats 10% of 50 = 45 know whats 45 - 70 = 25 now whats 25 - 9.98 = 15.02 - 13.50 = 1.52 now whats 6.5 - 1.52 then you have your answer

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Standard form of (-2,0)
Flauer [41]
The formula you can use is

y - y1 = m(x - x1)

plug the y value you are given  into y1 and the x value you are given into x1. m is for your slope value. after you plug in the known values, solve. your final answer should be in standard form which is 

Ax + By = C

your answer should not contain any fractions and your Ax value cannot be a negative value, By and C can be negative though.

hope this helps :)

3 0
3 years ago
Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations, so there is usually a waiting
grin007 [14]

Answer:

a) z_1 =\frac{20-19}{4} =0.25

z_2 =\frac{15-19}{4} =-1

And we can use the complement rule and we got:

P(z>0.25)=1-P(z

P(z>-1)=1-P(z

And replacing we got:

P(X >20| X>15)= \frac{0.401}{0.841}= 0.477

b) z_1 =\frac{20-19}{4} =0.25

z_2 =\frac{18-19}{4} =-0.25

And we can use the complement rule and we got:

P(z>0.25)=1-P(z

P(z>-0.25)=1-P(z

And replacing we got:

P(X >20| X>18)= \frac{0.401}{0.599}= 0.669

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:

X \sim N(19,4.0)  

Where \mu=19 and \sigma=4.0

Part a

For this cae we want to find this probability:

P(X >20| X>15)

And if we use the conditional probability formula we got:

P(X >20| X>15)= \frac{P(X >20 \cap X>15)}{P(X>15)}=\frac{P(X>20)}{P(X>15)}

We can solve the problem using the z score formula given by:

z = \frac{x-\mu}{\sigma}

z_1 =\frac{20-19}{4} =0.25

z_2 =\frac{15-19}{4} =-1

And we can use the complement rule and we got:

P(z>0.25)=1-P(z

P(z>-1)=1-P(z

And replacing we got:

P(X >20| X>15)= \frac{0.401}{0.841}= 0.477

Part b

P(X >20| X>18)= \frac{P(X >20 \cap X>18)}{P(X>18)}=\frac{P(X>20)}{P(X>18)}

We can solve the problem using the z score formula given by:

z = \frac{x-\mu}{\sigma}

z_1 =\frac{20-19}{4} =0.25

z_2 =\frac{18-19}{4} =-0.25

And we can use the complement rule and we got:

P(z>0.25)=1-P(z

P(z>-0.25)=1-P(z

And replacing we got:

P(X >20| X>18)= \frac{0.401}{0.599}= 0.669

5 0
4 years ago
a certain bike travels 135 feet in 20 rotations of its wheels. how far will the bike travel in 45 rotations
likoan [24]

Answer:

khvhyuvjhvjhvhjvjhugyhughjgbyuutfr5tfghbjgt6yghbygthbnfjgjhghjghyjgiukj,m

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
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maxonik [38]

I think it is found in browser

I hope this was helpful

8 0
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ikadub [295]
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8 0
3 years ago
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