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Rainbow [258]
3 years ago
11

Mastery challenge

Mathematics
1 answer:
kolezko [41]3 years ago
7 0

The complete question is;

Below are last week's revenues (in thousands of dollars) for six different Nancy's Noodles locations. 6, 6.8,3.7,8.1,6.6,7

Find the median revenue.

Answer:

Median = 6.7 thousand dollars

Step-by-step explanation:

From the question, the 6 revenues in thousands of dollars are;

6, 6.8, 3.7, 8.1, 6.6, 7

To find the median, we need to arrange the terms in ascending order.

Thus, we have;

3.7, 6, 6.6, 6.8, 7, 8.1

Since the number of terms are 6,then the median term is (6 + 1)/2 = 7/2 = 3.5th term

To get the 3.5th term, we have to find the average of the 3rd and 4th terms in the series of revenue.

3rd term = 6.6 and 4th term = 6.8

Thus, median = (6.6 + 6.8)/2

Median = 13.4/2

Median = 6.7 thousand dollars

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John leaves his home. He travels 5 blocks south and three blocks west. As the crow flies, how far is John from his home?
riadik2000 [5.3K]

Answer:

5.83 blocks away from his home

Step-by-step explanation:

If he travels 5 blocks south and 3 blocks west, the distance from his house considered along with the distances travelled gives a right angled triangle whose opposite side and adjacent sides are the distances travelled north and west.

The distance from his house after moving 3 blocks west is the hypotenuse side. As such, the distance may be computed using Pythagoras' theorem. Let the distance from his house be G

G^2 = 5^2 + 3^2

G^2 = 25 + 9

= 34

G = √34

=5.83

John is 5.83 blocks away from his home

3 0
3 years ago
Please help me with this problem <br> Evaluate (-½·3)³
-Dominant- [34]

Answer: -27/8

Step-by-step explanation:

\left(-\frac{1}{2}\cdot \:3\right)^3

\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}

\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3

=-\left(\frac{1}{2}\cdot \:3\right)^3

\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n

\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3

=-\left(\frac{1}{2}\right)^3\cdot \:3^3

=-\frac{1}{8}\cdot \:3^3

=-\frac{1}{8}\cdot \:27

=-\frac{27}{8}

3 0
2 years ago
he yearbook club had a meeting. The meeting had 24 people, which is three-fourths of the club. How many people are in the club
WINSTONCH [101]

Answer:

32 people

Step-by-step explanation:

If 3/4 equals 24, we need to find the other fourth. We can divided the total number of people by the numerator. 24/8, then add 8, which equals 32.

4 0
3 years ago
What's the answer?<br> Idk it bc I'm stupid and I don't feel like doing it
aliya0001 [1]
H=-16x to the second power +136
4 0
3 years ago
Simplify (x-4) (4^2+x-6)​
julsineya [31]

Answer:

(x-4)(x+10)

Step-by-step explanation:

8 0
3 years ago
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