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3 years ago

8

Clarissa just moved to a new town and wants to know the sales-tax rate there. She paid $1.54 sales tax on a purchase of $28.00.

What is the sales-tax rate?

1 answer:

slega [8]3 years ago

7 0

18% sales tax $28 divided by $1.54 is 18.1818181818

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"The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N obj

Liula [17]

<u>Options</u>

Counting rule for permutations
Counting rule for multiple-step experiments
Counting rule for combinations
Counting rule for independent events

Answer:

(C)Counting rule for combinations

Step-by-step explanation:

When selecting n objects from a set of N objects, we can determine the number of experimental outcomes using permutation or combination.

When the order of selection is important, we use permutation.

However, whenever the order of selection is not important, we use combination.

Therefore, The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the counting rule for combinations.

7 0

4 years ago

The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe

yawa3891 [41]

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

= 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

$=\frac{14}{8!}$

= $\frac{14}{40320} = 0.000347$

b). The probability that the marketing director to be placed in the leftmost position is

$=\frac{7!}{8!}$

$=\frac{1}{8} = 0.125$

c). The two events are not independent because

$P(A \cap B) \neq P(A) \times P(B)$

$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$

where A is the case a and B is the case b.

8 0

3 years ago

How would I do this??

hjlf

Part 1

$\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\$

Answer: -4/11

====================================================

Part 2

Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.

$h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\$

This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.

Answer: $x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\$

4 0

3 years ago

Viktoriya solved an equation as shown below. 5 (x minus 2) minus 3 x = 2 (x minus 3) minus 16. 5 x minus 10 minus 3 x = 2 x minu

NemiM [27]

Answer:

The conclusion is wrong

Step-by-step explanation:

The following steps are given

$5(x-2)-3x=2(x-3)-16$

$5x-10-3x=2x-6-16$

$2x-10=2x-22$

$-10=-22$

Required

The error

Going through the steps, we can see that there are no mistakes in any of the step.

However, the conclusion that there are infinitely many solutions is wrong

because the solution actually has no solutions.

5 0

3 years ago

Read 2 more answers

2.The coordinate plane shown below is a graph of a relation.

vazorg [7]

I believe the answer is c

5 0

4 years ago