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oee [108]
3 years ago
12

The math test scores of Mrs. Hunter's class are shown below. 48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100

What is the range of the scores? A) 44 B) 52 C) 54 D) 62
Mathematics
2 answers:
Afina-wow [57]3 years ago
8 0
All you have to do is subtract 100 from 48 and you get your answer of 52
GalinKa [24]3 years ago
3 0
Subtract 100 - 48 for the range and your answer will be C
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Condense 2log4 + log3 - log2 + log5
antiseptic1488 [7]

2\log4 + \log3 -\log2 + \log5= \\ \\ = \log 2^4+ \log3 -\log2 + \log5 = \\ \\ = \log 16+ \log3 -\log2 + \log5 = \\ \\ = \log\Big(16\cdot 3:2\cdot 5\Big) = \log\Big(\dfrac{16\cdot 3\cdot 5}{2}\Big) = \log(8\cdot 3\cdot 5) = \\ \\ =\log120

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2 years ago
What is the simplified form of the following expression? 4x2|y3z| 4x4y8
bija089 [108]

Answer:

16x⁶y⁸|y³z|.........

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3 years ago
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According to the rational root Theorum, which is a factor of the polynomial f(x) = 3x^3 -5x^2 - 12x + 20
kodGreya [7K]
We will find the rational zeros of <span>f(x) = 3x^3 -5x^2 - 12x + 20

1) Arrange in descending order: </span><span>f(x) = 3x^3 -5x^2 - 12x + 20

2) write down the factors of the constant term, 20. 
1,2, 4, 5, 10, 20 - these could all be the possible values of p.

3) write down the factors of the leading coefficient, 3.
1,3 - these are the possible values of q.
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4) write down all the possible values of p/q. both positive and negative values must be written down. Simplify
1/1 ; 1/3 ; 2/1 ; 2/3 ; 4/1 ; 4/3 ; 5/1 ; 5/3 ; 10/1 ; 10/3 ; 20/1 ; 20/3
1 ; 0.33 ; 2 ; 0.67 ; 4 ;  1.33 ; 5 ; 1.67 ; 10 ; 3.33 ; 20 ; 6.67

5) use the simplified p/q in both positive and negative values in the synthetic division.  Pls. see attachment for my synthetic division.

Based on my computations, </span>a factor of the polynomial f(x) = 3x^3 -5x^2 - 12x + 20 is:  x = -1.67 or x = -5/3

IF THESE ARE THE MISSING CHOICES:
<span>A)2x + 1 B)2x - 1 C)3x+5 D)3x - 5.
</span>
MY ANSWER IS: D) 3x - 5.

5 0
3 years ago
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An automobile emissions testing center has six inspectors and tests 50 vehicles per hour. Each inspector can inspect 12 vehicles
LiRa [457]

Answer:

The center require to have a 4.6 inspectors, but this on you decide if you have 4 or 5 inspectors, it may not have 4.6 people working.

So then if you decide to have 5 people their utilization percentage is 83.3%, but if you decide to have 4 people their utilization rate will be 104.17% at the risk of defaulting on demand.

Step-by-step explanation:

1. Define your variables

Demand rate= 50 vehicles per hour

Service rate = 12 vehicles per hour per inspector

Inspectors= a

2. Use the formule of the center´s utilization

U= \frac{Demand}{(Service) X a}

0,9= \frac{50}{(12) X a }

0,9a=\frac{50}{12}

a=\frac{50}{12X0,9}

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3. According to the center´s utilization formula the center require 4,6 inspectors, but approaches 5 because people cannot be divided. With this numbers of inspectors the utilization is:

U= \frac{Demand}{(Service) X (No. inspectors)}

U= \frac{50}{(12) X (5)}

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4. Other option that you will be used is that the center require 4 inspectors. With this numbers of inspectors the utilization is:

U= \frac{Demand}{(Service) X (No. inspectors)}

U= \frac{50}{(12) X (4)}

U= 104,17%

6 0
3 years ago
Why is 0.17 grater than 0.165
Karo-lina-s [1.5K]
0.17 is greater than 0.165. In the hundredths place, 0.17 has a 7 in the hundredths place, 0.165 has a 6 in the hundredths place
Compare 7 and 6, 7 is bigger so 0.17 is bigger than 0.165
6 0
3 years ago
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