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White raven [17]
3 years ago
6

Find the mean, median, and mode of the data set. Round to the nearest tenth. 15, 1, 4, 4, 8, 7, 15, 4, 15, 4, 5

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

Median: 4.5

Mode: 4

Mean: 6.7

Step-by-step explanation:

First lets find the median, the number in the middle. To do this we need to put this data set in ascending order

1,4,4,4,4,5,7,8,15,15

The two numbers in the middle are 4 and 5. Now we must add these two numbers together and then divide by 2.

\frac{4+5}{2} =\frac{9}{2} =4.5

Nexte lets find the mode, the number that occurs the most. 4 appears 4 times, which is the greatest amount.

Now lets find the mean. First we need to find the sum of these 10 numbers

1+4+4+4+4+5+7+8+15+15=67

Next we have to divide by the number of data points, which is 10

\frac{67}{10} =6.7

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Larissa argued that since log2(2) = 1 and log2(4) = 2, then it must be true that log2(3) = 1.5. Is she correct?
mestny [16]

Answer:

2^{1.5} = 2.8284. This means that Larissa is not correct.

Step-by-step explanation:

To solve logarithms, we have to consider the following:

\log_{a}(b) = c means that a^{c} = b.

So, for example:

log_{2}(2) = 1 because 2^{1} = 2.

log_{2}(4) = 2 because 2^{2} = 4.

If 2^{1.5} = 3, then Larissa is correct. However, 2^{1.5} = 2.8284. This means that Larissa is not correct.

6 0
3 years ago
Work out (10-3 x 2) to the power of 2
Leno4ka [110]

Answer:

16

Step-by-step explanation:

parentheses first: 10-6 which is 4^2 or 16.

Hope this helps :D

8 0
2 years ago
For which inequality would x = 8 not be a solution?
Naya [18.7K]

Put the value of x to the inequality:

4x+3 > 0\\L=4(8)+3=32+3=35;\qquad R=0;\qquad L > R\ CORRECT\\\\9x-5 < 100\\L=5(8)-5=40-5=35;\qquad R=100;\qquad 35 < 100\ CORRECT\\\\x+4\leq10\\L=8+4=12;\qquad R=10;\qquad 12 > 10\ INCORECT (\leq)\\\\72\div x\geq4\\L=72\div 8=9;\qquad R=4;\qquad 9\geq4\ CORRECT

3 0
3 years ago
Can a triangle be drawn with the following angle measures? Why or why not?<br> 50°, 70°, 70°
Viefleur [7K]

no, the 3 angles of a triangle need to equal 180 degrees

70 +70 +50 = 190 degrees so it cant be a triangle.

4 0
3 years ago
Read 2 more answers
When y = 35,x = 2.5. If the value of y varies directly with x what is the value of y when the value of xis 3.25
leonid [27]

Answer:

The value of y would be 45.5

Step-by-step explanation:

To solve this problem, start with the base form of direct variation.

y = kx

Now we can use our original values to model the equation and find k.

35 = k(2.5)

14 = k

Now we can model the equation as:

y = 14x

Now to find y, when x = 3.25, simply put 3.25 into the equation.

y = 14(3.25)

y = 45.5

8 0
3 years ago
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