Answer:
I believe the answer is X=40
Step-by-step explanation:
cross multiply 5*16 = X * 2
Multiply 5*16
80= X*2
Add '-2x' to each side of the equation
80 + -2x = 2x + -2x
Combine like terms
80 + -2x = 0
Add '-80' to each side of the equation.
80 + -80 + -2x = 0 + -80
Combine like terms: 80 + -80 = 0
0 + -2x = 0 + -80
-2x = 0 + -80
Combine like terms: 0 + -80 = -80
-2x = -80
Divide each side by '-2'.
x = 40
Simplifying
x = 40
Hope this helped :)
Answer:
is the simplest form of given expression.
Step-by-step explanation:
The given question is 
To solve the problem we have to group or split middle term and then factorise
Taking 
common from first two terms of denominator and 2 from next two terms
Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms
Now cancel out x-1 from both numerator and denominator we get
is the required simplest form.
Let x be marked up price. We have been given that a chemistry set costing $27.50, marked up 32% on cost.
Therefore, mark up price is $8.80.
Since we know that selling price of any item equals the sum of cost and mark-up price of the item.
Let us find selling price of our chemistry set.
Therefore, the selling price of the chemistry set is $ 36.30.
Complete question :
It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?
Answer:
0.929 ; 0.306
Step-by-step explanation:
Using the information:
P(stock) = P(s) = 28% = 0.28
P(fixed income) = P(f) = 0.85
P(stock and fixed income) = p(SnF) = 26%
a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.
P(F|S) = p(FnS) / p(s)
= 0.26 / 0.28
= 0.9285
= 0.929
(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?
P(s|f) = p(SnF) / p(f)
P(S|F) = 0.26 / 0.85 = 0.3058823
P(S¦F) = 0.306 (to 3 decimal places)
Descares Theorem says that the number of roots of a polynomial is equal to its highest exponent, and the roots could be real and/or imaginary (complex).
However is their is one complex root (a + i.b), it's conjugate is also
a root (a-i.b).
In the equation x⁴ - 4x³ - 2x² + 12x + 9 = 0, we have already 3 roots, then the 4rth cannot be a complex one since we don't have a fifth for its conjugate.
