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3 years ago

A $125 art set is on sale for 30% off. What is the final purchase price of there is an 8% sales tax?

Mathematics

2 answers:

GREYUIT [131]3 years ago

7 0

Answer:

94.5

Step-by-step explanation:

Gnoma [55]3 years ago

3 0

Answer:

$94.50

Step-by-step explanation:

To start, we can first multiply $125\cdot\frac{3}{10}=25\cdot\frac{3}{2}=\frac{75}{2}$ , or 37.5. We can then subtract 125-37.5=87.5= $\frac{175}{2}$ . 8% is equal to $\frac{2}{25}$ . We can do $\frac{175}{2}\cdot\frac{2}{25}=7.$

87.5+7= $\boxed{\$94.50}$

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A parent died and left an estate to four children one inherited 2/9 oh the state the semiconductor inherited 19/81 and the third

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The answer is 8/81. find the values with a common denominator

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2 years ago

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The table shows data collected on the relationship between time spent playing video games and time spent with family. The line o

blsea [12.9K]

Complete question :

The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.

Video Games (Minutes) Time with Family (Minutes)

40 80

55 75

70 69

85 64

A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.

B) Is it reasonable to use this line of best fit to make the above prediction?

Answer:

81. 54

4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.

Step-by-step explanation:

Given that :

The equation of best fit is defined as :

ý = -0.36x + 94.5.

A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :

x = 36

From the model :

ý = -0.36(36) + 94.5

y = - 12.96 + 94.5

y = 81.54

Hence.nunber of minutes spent with family = 81.54 minutes.

B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.

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3 years ago

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o

Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a normal distribution with mean μ and σ as standard deviation:

In interval μ ± σ or ( μ + σ ; μ - σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would be values below the mean

Therefore in our case

μ + σ = 44 + 10 = 54

And

μ - σ = 44 - 10 = 34

a) Then 68,34 % of values will fall in this interval

We know now that value 34 is 1* σ below the mean, and is at the limit of 34,14 %

b) μ + 2*σ = 44 * 2*10 = 44 + 20 = 64

64 is the upper limit for the interval μ + 2*σ and we know that 95.45 % of all values will fall between ( μ - 2*σ ; μ + 2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

7 0

3 years ago

B is located at (−5, 2).

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When (-5, 2) is reflected across the y-axis then it becomes (5, 2). When (-5, 2) is reflected across the x-axis, it becomes (-5, -2)

I hope this helps out!

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2 years ago

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Can anyone help ASAP , thank you .