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juin [17]
3 years ago
14

What is the five number summary of the following data set? Write the numbers separated by commas. 45, 8, 51, 47, 31, 45, 12, 55,

48
Mathematics
1 answer:
Advocard [28]3 years ago
8 0
First order the numbers from least to greatest.
8,12,31, 45, 45,47, 48, 51,55
Min: 8
Q1: 21.5
Q2: 45
Q3: 49.5
Max: 55

To find Q1 find the average of the lower half. (12 + 31)/2
43/2 = 21.5
To find Q3 find the average of the upper half.
(48+51)/2= 49.5
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Use a quadratic equation to find two real numbers with a sum of -43 and a product of 306.
vlabodo [156]

Answer:

Real numbers = 39 and 9

Step-by-step explanation:

The standard form of a quadratic equation is ax² + bx + c = 0

Given the following data;

a = 1

b = -43

c = 306

Quadratic equation formula is;

x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a}

Substituting into the equation, we have;

x = \frac {-(-43) \; \pm \sqrt {43^{2} - 4*1*306}}{2*1}

x = \frac {43 \pm \sqrt {1849 - 1224}}{2}

x = \frac {43 \pm \sqrt {625}}{2}

x = \frac {43 \pm 25}{2}

x_{1} = \frac {43 + 25}{2}

x_{1} = \frac {68}{2}

x_{1} = 39

x_{2} = \frac {43 - 25}{2}

x_{2} = \frac {18}{2}

x_{2} = 9

Therefore, the two real numbers are 39 and 9.

The quadratic equation now becomes;

x² - 43x + 306 = (x - 39)(x - 9) = 0

4 0
2 years ago
Suppose there are 3 concerts at this hall next week, and the total attendance will be 5,500. Use a percent expression to predict
PSYCHO15rus [73]

Answer:1,833

Step-by-step explanation: 5,500 divided by 3 is 1,833. Correct me if I’m wrong I think that’s what your doing

4 0
2 years ago
Read 2 more answers
What is the value of x?
Alisiya [41]
I am pretty sure the answer is 82.5 unrounded.
6 0
3 years ago
16 points PLZ HELP which equation represents the function graphed on the coordinate plane
maksim [4K]
It’s the second one. The one that is g(x) = |x + 3| — 1
5 0
3 years ago
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The sum of 2/3 and twice a number is equal to 5/6 subtracted from three times a number​
strojnjashka [21]

Answer:

3÷2

Step-by-step explanation:

First let the required no. be 'x'.

By question,

(2÷3)+2x=3x-(5÷6)

or,(2+6x)÷3=(18x-5)÷6

or,2+6x=(18x-5)÷2

or,4+12x=18-5

or,x=9÷6

Therefore, x=3÷2

3 0
2 years ago
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