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Aleksandr [31]
3 years ago
8

A pack of cinnamon-scented pencils sells for $5.00. What is the sales tax rate if the total cost of the pencils is $5.20?

Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0
Calculate the percentage increase,work out the difference (increase) between the two numbers you are comparing. Then divide the increase by the original number and multiply the answer by 100. 

520-500 = 20
20÷500 =.04
.04 ×100= 4%
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If A, B, and C are mutually exclusive events with P(A) = 0.2, P(B) = 0.3, and P(C) = 0.4, determine the following probabilities:
fiasKO [112]

a. The events are mutually exclusive, so

P(A\cup B\cup C)=P(A)+P(B)+P(C)=\boxed{0.9}

b. For the same reason,

P(A\cap B\cap C)=\boxed0

Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:

P(A\cap B\cap C)=P(A)+P(B)+P(C)-P(A\cup B\cup C)

and the right side reduces to 0.

c. Same as (b),

P(A\cap B)=\boxed0

d. Same as (b),

P((A\cup B)\cap C)=\boxed0

We can also use the distributivity rule for unions and intersections to write

P((A\cup B)\cap C)=P((A\cap C)\cup(B\cap C))=P(A\cap C)+P(B\cap C)=0

e. If the A' is the complement of A, then by DeMorgan's law,

P(A'\cap B'\cap C')=P(A\cup B\cup C)'=1-P(A\cup B\cup C)=\boxed{0.1}

4 0
3 years ago
105 in radiu is equa to answer fast​
Dafna1 [17]

Answer: I would assume you mean 105 in radius to diameter which would be 210 since diameter is just radius times 2. <u>Otherwise, explain the question more since it's barely legible.</u>

7 0
3 years ago
What are the features of the quadratic function f(×) =×2 +10×+21?​
laiz [17]

A is the correct answer

Or

Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of

symmetry is x = -5

8 0
2 years ago
Place the indicated product in the proper location on the grid.<br><br> За^2 x 2а^3​
AlekseyPX

Answer:

when i got the answer i got 12a^25

Step-by-step explanation:

i dont know if this helps

8 0
2 years ago
I need help with this question please I’ll give u brain
lina2011 [118]

Answer:2In2-2In3

Step-by-step explanation:

In(4/9)

In4-In9

In2^2-In3^2

2In2-2In3

7 0
3 years ago
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