4/10 is equal to 2/5, and 0.4.
2/5 can be found by simplifying the fraction (dividing top and bottom by 2). 0.4 can be found by dividing 4 by 10.
I hope this helps!
Answer: -4
Step-by-step explanation:
Set up an equation
8x+3=-29
Subtract 3
8x=-32
x=-4
Answer:
Step-by-step explanation:
We would assume a binomial distribution for the number of college students that said they use credit cards because of the rewards program. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 37% = 37/100 = 0.37
q = 1 - p = 1 - 0.37
q = 0.63
n = 10
a) P(x = 2)
Therefore,
P(x = 2) = 10C2 × 0.37^2 × 0.63^(10 - 2)
P(x = 2) = 45 × 0.1369 × 0.02481557803
P(x = 2) = 0.15
b) P(x>2) = 1 - P(x ≤ 2)
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x = 0) = 10C0 × 0.37^0 × 0.63^(10 - 0) = 0.0098
P(x = 1) = 10C1 × 0.37^1 × 0.63^(10 - 1) = 0.058
P(x = 2) = 0.15
P(x ≤ 2) = 0.0098 + 0.058 + 0.15 = 0.22
P(x>2) = 1 - 0.22 = 0.78
we are given
(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it
we can simplify it
(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):
we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):
Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):
we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):
Since, it is quadratic equation
so, its range will be
now, we can find common range
so, range will be
∪.............Answer
