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Vanyuwa [196]
3 years ago
7

The price of a television is $567.31. The state sales tax rate is 8.3%.

Mathematics
2 answers:
liraira [26]3 years ago
7 0

Answer:

2.64957x10

8547 \times 31

= 264951

Tems11 [23]3 years ago
3 0
8.3%= 0.083

567.31 * .083 = 47.086 = 47.09

567.31+47.09= $614.40

Total cost is $614.40
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Answer:

very easy A graph shows the horizontal axis numbered 2 to 8 and the vertical axis numbered 10 to 50. A line increases from 0 to 4 then decreases from 4 to 9.

Which type of function best models the data shown on the scatterplot?

Step-by-step explanation:

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3 years ago
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A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16. If he had sold it at 10% discount he would have gained Rs
Murrr4er [49]

Answer: Marked Prixe = Rs. 1800

Step-by-step explanation:

Let the marked price be M

1) A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16.

SP = 0.88M

CP - SP = 16

CP = 16 + SP

CP = 16 + 0.88M

2) If he had sold it at 10% discount he would have gained Rs 20.

SP = 0.9M

SP - CP = 20

0.9M = 20 + CP

CP = 0.9M - 20

16 + 0.88M = 0.9M - 20

0.9M - 0.88M = 20+16

0.02M = 36

36 = 0.02M

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6 0
3 years ago
Multiply (x^2 - 3x + 4)(-2x^2 + 4x - 1) <br><br>Show the steps on how to solve please.
Firdavs [7]
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2 years ago
Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviat
drek231 [11]

Answer:

E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5

We can find the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496

And we can calculate the variance with this formula:

Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246

And the deviation is:

Sd(X) = \sqrt{1.246}= 1.116

Step-by-step explanation:

For this case we have the following probability distribution given:

X          0            1        2         3        4         5

P(X)   0.031   0.156  0.313  0.313  0.156  0.031

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).  

We can verify that:

\sum_{i=1}^n P(X_i) = 1

And P(X_i) \geq 0, \forall x_i

So then we have a probability distribution

We can calculate the expected value with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5

We can find the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496

And we can calculate the variance with this formula:

Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246

And the deviation is:

Sd(X) = \sqrt{1.246}= 1.116

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The trip back the boat will travel only 30 miles because the trip doubled the hrs.
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