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valentina_108 [34]
3 years ago
9

Compute the total cost of the meal to the nearest cent: meal costs $29.78 plus 5% tax and 15% tip.

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0
To solve this problem you must apply the proccedure shown below:
 1. You have the following information given in the problem above: <span>$29.78 plus 5% tax and 15% tip. 
 2. Therefore, you have:
 Total=$29.78+(0.05)($29.78)+(0.15)($29.78)
 3. Then, the result is:
 Total=$35.74
 Therefore, as you can see, the answer is the option D, which is: D. $35.74</span>
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An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
Veseljchak [2.6K]

Answer:

<em>The calculated value |t| = 2.375 > 2.1009  at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<em>The extra carbonation of cola results in a higher average compression strength</em>

<u><em /></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given data</em>

<em>First sample size (n₁) = 10 </em>

<em>mean of the first sample(x₁⁻) = 537</em>

<em>standard deviation of the first sample (S₁) = 22</em>

<em>second sample size (n₂) = 10 </em>

<em>mean of the second sample (x₂⁻) = 559</em>

<em>standard deviation of the second sample (S₂) = 17</em>

<u><em>Step(ii)</em></u><em>:-</em>

<u><em>Null hypothesis : H₀:</em></u><em>- The extra carbonation of cola results in a lower average compression strength</em>

<u>Alternative Hypothesis :H₁</u>

<em>The extra carbonation of cola results in a higher average compression strength</em>

<u><em>Step(iii)</em></u><em>:-</em>

<em>By using student's t -test for difference of means</em>

<u><em>Test statistic</em></u>

<em>       </em>t = \frac{x^{-} _{1}-x^{-} _{2}  }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} }  } )}<em />

<em>  where </em>

<em>     </em>S^{2}  = \frac{n_{1}S^{2} _{1} + n_{2} S_{2} ^{2}  }{n_{1}+n_{2} -2 }<em />

<em>    </em>S^{2}  = \frac{10(22)^{2}  + 10 (17) ^{2}  }{10+10 -2 } = \frac{ 7730}{18} = 429.4<em />

<em>    </em>t = \frac{537-559 }{\sqrt{429.4 (\frac{1}{10 }+\frac{1}{10 }  } )}<em />

<em>   t =  -2.375</em>

<em>|t| = |-2.375| = 2.375</em>

<em>Degrees of freedom</em>

<em>γ = n₁+n₂ -2 = 10+10-2 =18</em>

<em />t_{\frac{\alpha }{2} ,n-1}=t_{(\frac{0.05}{2} ,18)} = t_{(0.025,18)}}=2.1009<em />

<em>The calculated value |t| = 2.375 > 2.1009  at 0.05 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted</em>

<u><em>Final answer:-</em></u>

<em>The extra carbonation of cola results in a higher average compression strength</em>

<u><em /></u>

<em />

<em> </em>

<em />

5 0
2 years ago
What is the measure of angle F in degrees when H is 127degrees and G is 33.5 degrees?
irina1246 [14]

Answer:

19.5

Step-by-step explanation:

Here is a key factors in triangles, it must add up to 180 degrees.

You have three angles in a triangle ABC,

A = 127

B = 33.5

C = ?

In this case you would add the two together (160.5) and subtract from 180 giving you the angle C = 19.5

CHECK:

Add 127+33.5+19.5 = 180! Yes!

PLs mark brainliest if you can! :)

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2 friends go out to lunch and order 1 large pizza.The friends divided the pizza evenly.Find how much pizza each friend got as a
lions [1.4K]
Does It Say How Much Slices There Are ?
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Identify the conditionals and truth values implied by the following biconditional. Select all that apply.
mina [271]

Answer:

A

Step-by-step explanation:

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3 years ago
What does -22 belong to
Len [333]

Answer:

it's part of the real number system

it's a rational number

it's an integer

Step-by-step explanation:

6 0
2 years ago
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