Answer:
x = -5
Step-by-step explanation:
The equation y = x^2+10x+25 can be factored to (x+5)^2
when (x+5)^2 = 0
x = -5
meaning the equation has a line of symmetry at x = -5
Answer:
Exact Form:
1 + √5
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Step-by-step explanation:
=99*9/11
- -
_____
=891/11
=81
Answer:
40% . The single reduction together is 40%.
Step-by-step explanation:
Let the bicycle cost is x before reduced price.
First 25% is reduced and again 20% further reduced.
Let the single reduction is y% if the two reduction together are equal.
Solution,
Case .1
reduction cost
%


The cost of bicycle after reduction of 25% is

cost of reduction further reduction of 20%
%


The new cost of bicycle is further reduction of 20% is



Case.2
if single reduction is done new cost of cycle is equal
%=



%
single reduction of a cycle is 40%
Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.