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kaheart [24]
3 years ago
10

Daniel bought a new pair of sunglasses for $41.75. The sales tax is 8%. What is the price of thesunglasses after tax is included

?
O $38.41

O $47.50

O $45.09

O $3.34
Mathematics
1 answer:
uysha [10]3 years ago
5 0

Answer:

it's 45.09

Step-by-step explanation:

8% of 41.75 is 3.34

3.34 + 41.75 is 45.09

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Kimberly and Johannesburg are 460km/hour apart. A train covers the distance in 5 hours and 45 minutes. Determine the speed of th
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Answer: speed v= s/t = (460 / 5,75 )km/h

Step-by-step explanation: s= 460 km, t= 5h 45 min = 5,75 h

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The number of text messsages that teenagers send per month is normally
ki77a [65]

Answer:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Calculate the z score

Let X the random variable that represent the number of text messages per month, and for this case we know the distribution for X is given by:

X \sim N(3400,450)  

Where \mu=3400 and \sigma=450

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

6 0
3 years ago
Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3 inches.
skelet666 [1.2K]

\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \hrulefill\\ r=3\\ \theta =\frac{7\pi }{3} \end{cases}\implies s=3\cdot \cfrac{7\pi }{3}\implies s=7\pi

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Alona [7]
Notice the picture below, see the length "l"?

well \bf Area=l\times w\qquad 
\begin{cases}
l=\frac{11}{4}w\\
Area=180
\end{cases}\\\\
-----------------------------\\\\
thus
\\\\
180=\cfrac{11}{4}w\times w

solve for "w", to find the width,

what's the length?  well, l = 11/4 w

3 0
3 years ago
Which term describes that right of a lender to sell collateral to get back the principal if the borrower cannot repay the loan?
Pie

Answer:

Lien

Step-by-step explanation:

The correct answer to this question is  "Lien". This is the term that describes the right of a lender to sell collateral to get back the principal if the borrower cannot repay the loan is called the lien. Hope this helps answer your question.

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