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Maslowich
3 years ago
12

Jenna and Richie go shopping at the mall to buy their mom a present they buy a scarf for $12.45 and a necklace for $35.65 their

state tax charges 8% sales tax how much tax do Jenna and Richie pay on the gifts they bought round your answer to the nearest cent
Mathematics
1 answer:
padilas [110]3 years ago
5 0

Answer:

The tax Jenna and Richie pay on the gifts is <u>$3.85</u>.

Step-by-step explanation:

Given:

Cost of scarf = $12.45.

Cost of necklace = $35.65.

State tax charges sale tax = 8%.

Now, to find the sales tax paid on the gifts.

So, adding the price of the gifts:

12.45+35.65=48.10

Thus, the total amount of the gifts = $48.10.

Now, getting the sales tax the state charges:

8\%\ of\ 48.10

=\frac{8}{100}\times 48.10

=0.08\times 48.10

=3.848

<em><u>The tax nearest to cent = $3.85</u></em>

Therefore, the tax Jenna and Richie pay on the gifts is $3.85.

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Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9
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6 0
3 years ago
Researchers studying starfish collected two independent random samples of 40 starfish. One sample came from an ocean area in the
krek1111 [17]

Answer:

The test statistic for the appropriate test is \frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}.

Step-by-step explanation:

The experiment conducted here is to determine whether there is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. north and south.

The hypothesis to test this can be defined as follows:

<em>H₀</em>: There is no difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ = <em>p</em>₂.

<em>Hₐ</em>: There is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ ≠ <em>p</em>₂.

The two-proportion <em>z</em>-test would be used to perform the test.

A sample of <em>n</em> = 40 starfishes are selected from both the ocean areas.

It provided that of the 40 starfish from the north, 6 were found to be over 8 inches in length and of  the 40 starfish from the south, 11 were found to be over 8 inches in length.

Compute the sample proportion of starfish from north that were over 8 inches in length as follows:

\hat p_{n}=\frac{6}{40}=0.15

Compute the sample proportion of starfish from south that were over 8 inches in length as follows:

\hat p_{s}=\frac{11}{40}=0.275

The test statistic is:

z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}

Compute the combined proportion <em>P</em> as follows:

P=\frac{X_{n}+X_{s}}{n_{n}+n_{s}}=\frac{6+11}{40+40}=0.2125

Compute the test statistic value as follows:

z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}

  =\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}

Thus, the test statistic for the appropriate test is \frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}.

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