Answer:
11.70
Step-by-step explanation:
d=√((16-5)^2+(14-10)^2)=11.7046999...
Answer:
c ≥ 10 dozen
Step-by-step explanation:
Victor wants to have at least 10 dozen cookies for the bake sale.
In layman terms it can be understood as that Victor wants either 10 dozen cookies or more than that such as 11, 12, 13, 50 , 100 whatever number is greater than 10.
Let the no. of dozen of cookies wanted by him is c
according to condition
if victor wants either 10 dozen cookies
it can be represented mathematically as
c = 10 dozen (1)
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If victor wants no. of dozens of cookies greater than 10 .
it can be written as
c >10 dozen (2) (">" is symbol for greater than . expression simply means value of x should be greater than 10)
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now combining equation one and two, we have
c ≥ 10 dozen . It can means that x can take value starting from 10 to any no greater than..
I the average score is 750 and standard deviation ( sigma ) is 50 points, then score 700 - 800 is between (750 - 1 sigma) and (750 + 1 sigma).
That is 34.1 % + 34.1 % = 68.2 % of the whole population.
2,000 · 0.682 = 1.364
We expect 1,364 students to score between 700 and 800 points.
Answer:
Aditya evaluates the numerator of the expression when x = –1. He finds the remainder of the division to be –1
Step-by-step explanation:
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1
To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:
Assume:
x + 1 = 0
Subtract 1 from both side
x + 1 – 1 = 0 – 1
x = – 1
Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:
– 12x¹⁷+ 3x⁵ – 9x² – 1
x = – 1
– 12(–1)¹⁷+ 3(–1)⁵ – 9(–1)² – 1
– 12(–1) + 3(–1) – 9(1) – 1
12 – 3 – 9 – 1
= –1
Thus, using the remainder theorem,
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1 will result to –1
