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vodomira [7]
3 years ago
5

Plwees help:)

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0
Answer #1- 8 mins
Answer #2-$0.571

Explanation for #1:

For this first equation you need to find 1 mike per ___ minutes. To get from 10 to 1, you need to divide by 10. This can also be put into this equation—

10x=80

So, to find how many minutes for each mile, divide 80 by 10. This will result in 8. This means that Dan ran 1 mile in 8 minutes.


Explanation for #2:

For this next one we see that we need to find how much Yoko spent on each pound of rice.

Since we are trying to find 1 pound of rice per ___ dollars, we need to divide both 14 and 8 by 14. This can also be put into this equation—

14x=8

Once this is done we know that 1 pound of rice is equal to 0.571428571428571 cents. But, since you are required to round to the nearest hundredth, the answer will only be $0.571.

Hope this helps comment below for more questions :)
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PLEASE HELP WILL MARK BRAINLIEST
Romashka [77]

Answer:

A.The mean would increase.

Step-by-step explanation:

Outliers are numerical values in a data set that are very different from the other values. These values are either too large or too small compared to the others.

Presence of outliers effect the measures of central tendency.

The measures of central tendency are mean, median and mode.

The mean of a data set is a a single numerical value that describes the data set. The median is a numerical values that is the mid-value of the data set. The mode of a data set is the value with the highest frequency.

Effect of outliers on mean, median and mode:

  • Mean: If the outlier is a very large value then the mean of the data increases and if it is a small value then the mean decreases.
  • Median: The presence of outliers in a data set has a very mild effect on the median of the data.
  • Mode: The presence of outliers does not have any effect on the mode.

The mean of the test scores without the outlier is:

   \bar{x}=\frac{Total of the observations-Outlier value}{n-1} \\=\frac{(86*16)-72}{15} \\=\frac{1304}{15}\\ =86.9333

*Here <em>n</em> is the number of observations.

So, with the outlier the mean is 86 and without the outlier the mean is 86.9333.

The mean increased.

Since the median cannot be computed without the actual data, no conclusion can be drawn about the median.

Conclusion:

After removing the outlier value of 72 the mean of the test scores increased from 86 to 86.9333.

Thus, the the truer statement will be that when the outlier is removed the mean of the data set increases.

4 0
2 years ago
Find the value of x<br> A.)25<br> B.)140<br> C.)5<br> D.)1
Vlada [557]

Answer:

25 = x

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

5x+15 = 6x -10

Subtract 5x from each side

5x-5x+15 = 6x-5x -10

15 = x - 10

Add 10 to each side

15+10 = x-10+10

25 = x

5 0
2 years ago
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Naddik [55]
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3 0
3 years ago
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You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co
alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

P=2x+2y

On the other hand, since the available money to buy fence is D dollars,

\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}

Furthermore, the area of the enclosed land is given by

A=xy

Solving the second equation for x,

\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}

Substituting into the equation for the area,

\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}

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\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}

Therefore, the corresponding value of x is

\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}<h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2>\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}<h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0
11 months ago
a dvd costs twice as much as a music cd. Jack buys 2 dvds and 2 cds and spends $45. Determine how much one cd costs. in dollars
VMariaS [17]
dvd=d \\ cd=c \\  \\  \left \{ {{d=2c} \atop {2d+2c=45}} \right.  \\  \\ 2(2c)+2c=45 \\ 4c+2c=45 \\ 6c=45 \\ c=7.5 \\  \\ d=2(7.5) \\ d=15

One CD costs $7.50.
One DVD costs $15.00.
3 0
3 years ago
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