Answer:
a) 
b) P(x>2) = 0.566
c) P(2<x<5) = 0.334
Step-by-step explanation:
Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday
Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24
n = 10
By using Poisson distribution
mean number of make purchases during a sales tax holiday
λ = np = 10 X 0.24 = 2.4
a)
The probability of getting exactly '2'
The probability 


b) The probability of getting more than '2'


= 0.090 + 0.2177+0.261 = 0.566
P(x>2) = 0.566
c) The probability of getting between two and five
P( 2<x<5) = P(x=3)+p(x=4) =
P(2<x<5) = 0.2090 + 0.125 = 0.334
Answer:
$<em>150,858.5</em>
Step-by-step explanation:
The formula for calculating compound interest is expressed as;
A = P(1+r/n)^nt
P is the Principal = $124000.00
r is the rate = 12% = 0.12
t is the total time = 2 years
n is the time of compounding = 1/4 = 0.25(quarterly)
Substitute into the formula;
A= 124000(1+0.12/(0.25))^(0.25)(2)
A = 124000(1+0.48)^0.5
A = 124000(1.48)^0.5
A = 124000(1.2166)
A = 150,858.5
<em>The amount after 2 years if compounded quarterly is 150,858.5</em>
The value of x on the number line is 24 and - 40
A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.
The given equation is

Solving the equation:

Now we take the two separate values of x:
either x=-8+32 or x=-8-32
or,x=24 or x=-40
The value of x is 24 and - 40.
To learn more about number line:
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