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Eva8 [605]
3 years ago
9

The median for the given set of six ordered data values is 32.5.

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Answer:

59

Step-by-step explanation:

5

12

27

41

51

59

=195/6=32.5

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The expression (5b3c−6)−1(5b−2a−4)−1
Rzqust [24]

(5b^3c^{-6})^{-1}(5b^{-2}a^{-4})^{-1}\\\\\text{use:}\ (ab)^n=a^nb^n\\\\=5^{-1}(b^3)^{-1}(c^{-6})^{-1}\cdot5^{-1}(b^{-2})^{-1}(a^{-4})^{-1}\\\\\text{use:}\ (a^n)^m=a^{nm}\ \text{and}\ a^{-1}=\dfrac{1}{a}\\\\=\dfrac{1}{5}b^{-3}c^6\cdot\dfrac{1}{5}b^2a^4\\\\\text{use associative property}\ (a\cdot b)\cdot c=a\cdot(b\cdot c)\\\\=\left(\dfrac{1}{5}\cdot\dfrac{1}{5}\right)a^4(b^{-3}b^2)c^6\\\\\text{use:}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{1}{25}a^4b^{-1}c^6\\\\Answer:\\n=\dfrac{1}{25}\\\\r=4\\\\s=-1\\\\t=6

4 0
3 years ago
Please help me with these two questions I hate math
Aleksandr [31]

Answer:

18. b

19. b

Step-by-step explanation:

6 0
3 years ago
3. For each of the following, indicate if it is a problem involving permutations, combinations, or neither, and then answer the
AlexFokin [52]

Answer:

Step-by-step explanation:

a. How many groups of five songs can be chosen from a list of 35 songs?

Here combinations because order of songs selected doe snot matter hence

35C5 = 324632

b. How many ways can a person choose three different desserts from a dessert tray of eight desserts?

Here combinations

8C3= 56

c. How many ways can a manager of a baseball team choose the lead-off batter and second batter from a baseball team of nine players?

Here order matters so 9P2 = 72

d. How many ways are there to place seven distinct pieces of art in a row?

Here we use permutations because distinct pieces so order matters.

7! ways

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15C4 = 1365

 

5 0
4 years ago
A population of size 320 has a proportion equal to .60 for the characteristic of interest. What are the mean and the standard de
tiny-mole [99]

Answer:

The answer is c.) 0.6 and 0.14

Step-by-step explanation:

Given population has a size of 320.

The proportion of population = 0.6

The mean of population, p = 0.6

The mean of sample, \hat{p}= 0.6

Therefore \hat{q}  = 1 - \hat{p} = 1 - 0.6  = 0.4

The sample size  = 12

Therefore the standard deviation of the sample,

s = \sqrt{\frac{\hat{p}(1 - \hat{p})}{n} }  = \sqrt{\frac{0.6 \times 0.4}{12} }  = 0.1414

The mean and the standard deviation for a sample size of 12 are 0.6 and 0.14 respectively.

The answer is c.) 0.6 and 0.14

6 0
3 years ago
4+(-2)-(-3)-6 please help you get 93 points
lara [203]
The answer is -1
4+(-2)=2
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3 years ago
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