Two number cubes are rolled for two separate events:

Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.

steposvetlana [31]

Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Colorado:
3.50 = 100
3.60 = X
3.60 x 100 / 3.50 = X
360 / 3.5 = X
102.85 = X
2.85% = Sales tax

Ohio:
Y = 1.055X
10 x 1.055 = Y
10.55 = Y
10 = 100
10.55 = X
10.55 x 100 / 10 = X
1055 / 10 = X
105.5 = X
5.5% = Sales tax

Rhode Island:
10 = 100
10.70 = X
10.70 x 100 / 10 = X
1070 / 100 = X
107 = X
7% = Sales tax

Therefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Learn more about maths in brainly.com/question/25866144

5 0

3 years ago

Why the value of x can not be apart of a set

kobusy [5.1K]

Answer:

Need more information?

Step-by-step explanation:

6 0

4 years ago

Write a word problem that involves converting units of mass

Evgesh-ka [11]

You have 2 dekagrams of brand x fertilizer and 9 grams of brand y fertilizer how much fertilizer do you have in grams

7 0

3 years ago

A radio station wants to determine whether its audience would like to listen to more rap music. It asks its listeners to call in

Afina-wow [57]

A radio station made a survey of their listeners to determine whether the audience would like to listen to more rap music. They asked the question “Do you want us to play more rap music or less rap music?” The station recorded one hundred fifty listeners who call in.

The focus of the study is about the playing of the rap music because it is what the question is about. Not the type of music listeners want to hear, nor the number of listeners who respond nor the response of listeners.

7 0

3 years ago

Read 2 more answers

A new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries wil

klio [65]

Answer:

The probability that you test exactly 4 batteries is 0.0243.

Step-by-step explanation:

We are given that a new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries will be independently selected and tested until two acceptable ones have been found.

Suppose that 90% of all batteries have acceptable voltages.

Let the probability that batteries have acceptable voltages = P(A) = 0.90

So, the probability that batteries have unacceptable voltages = P(U) = 1 - P(A) = 1 - 0.90 = 0.10

Now, the probability that you test exactly 4 batteries is given by the three cases. Firstly, note that batteries will be tested until two acceptable ones have been found.

So, the cases are = P(AUUA) + P(UAUA) + P(UUAA)

This means that we have tested 4 batteries until we get two acceptable batteries.

So, required probability = (0.90 $\times$ 0.10 $\times$ 0.10 $\times$ 0.90) + (0.10 $\times$ 0.90 $\times$ 0.10 $\times$ 0.90) + (0.10 $\times$ 0.10 $\times$ 0.90 $\times$ 0.90)

= 0.0081 + 0.0081 + 0.0081 = 0.0243

Hence, the probability that you test exactly 4 batteries is 0.0243.

3 0

3 years ago