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My name is Ann [436]
2 years ago
6

Show your work to back up your answer

Mathematics
1 answer:
Lelu [443]2 years ago
6 0
Sorry if I got it wrong but I hope it’s right

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Which stem-and-leaf plot has a median of 3.2<br><br><br><br> page.2
DiKsa [7]
Find the median of each set:-

Median is middle number of a data set. If a data set has an odd number of numbers then the median is the middle number when ordered form least to greatest but if its an even number you have to find the mean for the middle 2 numbers when ordered for least to greatest. 

A.

1.2, 2.4, 3.2, 3.2, 3.6, 4.0, 4.1, 4.7

Even numbers = 8
3.2 + 3.6 = 6.8
6.8 ÷ 2 = 
Median = 3.4
So this shows that A isn't the answer because the median of A is 3.4, not 3.2. 

B.

1.6, 2.8, 2.9, 3.1, 3.3, 3.6, 4.2, 4.5

Even numbers = 8
3.1 + 3.3 = 6.4
6.4 ÷ 2 = 3.2
Median = 3.2
<span>So this shows that B is the answer because the median of B is 3.2.

C. 

1.8, 2.0, 2.0, 2.2, 3.2, 4.7, 4.8, 4.9
</span>
Even numbers = 8
2.2 + 3.2 = 5.4
5.4 ÷ 2 = 2.7
Median = 2.7
<span>So this shows that C isn't the answer because the median of C is 2.7, not 3.2.
</span>
D. 

1.4, 1.7, 2.9, 3.0, 3.1, 3.2, 3.2, 3.2, 4
Odd numbers = 9
Median = 3.1

<span>So this shows that D isn't the answer because the median of D is 3.1, not 3.2.
</span>
The stem and leaf plot which median is 3.2 is B.
5 0
2 years ago
tommy's toy car sits 5 feet from the gound. it goes down the ramp at .25 feet per second. how far does it go in 1.5 seconds?​
Tamiku [17]

Answer:

0.375 feet.

Step-by-step explanation:

Multiply .25 by 1.5 to get 0.375.

6 0
2 years ago
Condense the log equation: 4 log x + log y - 5 log z
Setler [38]

Answer:

The condensed log equation is: \log{\frac{x^4y}{z^5}}

Step-by-step explanation:

We use these following logarithm properties to solve this question:

a\log{x} = \log{x^a}

\log{a} + \log{b} = \log{ab}

\log{a} - \log{b} = \log{\frac{a}{b}}

In this question:

4\log{x} = \log{x^4}

5\log{5} = \log{z^5}

So

4\log{x} + \log{y} - 5\log{z}

Becomes:

\log{x^4} + \log{y} - \log{z^5}

Now applying the addition and subtraction properties, we have:

\log{\frac{x^4y}{z^5}}

The condensed log equation is: \log{\frac{x^4y}{z^5}}

7 0
3 years ago
F(x)=-x^2+8x+15 ...?
rusak2 [61]
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span> <span>(x−4<span>)2</span>−31=0</span> <span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
8 0
3 years ago
Find the height of a rectangular prism if the surface area is 868, the width is 7 and the length is 31.
Aneli [31]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
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