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3 years ago

An item has a listed price of $95. If the sales tax rate is 9%, how much is the sales tax (in dollars)?

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

$8.55 You take the 95 dollars and multiply it by the sales tax (0.09) to get $8.55

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Suppose a six-sided die is tossed 1200 times and a 6 comes up 419 times. (a) Find the empirical probability for a 6 to occur. (E

krok68 [10]

Answer:

Here both probabilities are not equal.

Therefore the die is not fair and biased.

Step-by-step explanation:

Now n= 1200 times and x = 419 times.

a) Empirical Probability:

$=\frac{x}{n} \\\\= \frac{419}{1200}\\ \\=0.349$

Probability = 0.349

b) Theoretical Probability:

$=\frac{1}{6}$

Here both probabilities are not equal.

Therefore the die is not fair and biased.

3 0

3 years ago

A bag contains 20 marbles. The probability of picking a yellow marble is 3/4. How many marbles are yellow?

emmasim [6.3K]

15 because 3/4 is equivalent to 75% and 75% of 20 is 15.

8 0

4 years ago

Read 2 more answers

What is the first step to solve the following system of equations using substitution?

Akimi4 [234]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

$x = 4, y = 5$

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

$x - y = -1$

$2x - y = 3$

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

$x-y=-1$

Add y to both sides

$x-y+y=-1+y$

$x=-1+y$

Thus, option A) is true.

<u>NOW LET US SOLVE THE REMAINING PORTION</u>

$\mathrm{Subsititute\:}x=-1+y$ to solve for y

$\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}$

$-2+y=3$

$y=5$

For x = -1 + y

substitute y = 5

$x=-1+5$

$x=4$

Thus, the solution to the system of equations be:

$x = 4, y = 5$

3 0

3 years ago

Evaluate 2b^2-4a+4a^2 for a= 3 and b= -8

masha68 [24]

Given a = 3 and b = - 8 ,

= > 2b² - 4a + 4a²

= > 2( - 8 )² - 4( 3 ) + 4( 3 )²

= > 2( 64 ) - 4( 3 ) + 4( 9 )

= > 128 - 12 + 36

= > 116 + 36

= > 152

$\:$

5 0

3 years ago

Read 2 more answers

Which of the following groups cannot represent the side lengths of a triangle.

Rom4ik [11]

Answer:

try B for an answer, hope it helps

7 0

2 years ago