Answer:
114.
Step-by-step explanation:
- remove parenthesis
- multiply the numbers 6 x 3 + 18
18 + 4 + 2 x 3 x 15 + 2
multiply the numbers 2 x 3 x 15 + 90
18 + 4 + 2 + 90 + 2
add the numbers : 18 + 4 + 2 + 90 + 2
= 114!
Answer:
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Step-by-step explanation:
f(x) = x⁴ + 10x³ − 20x² − 90x + 99
f(x) is a fourth order polynomial, so it has 4 roots. Use rational root theorem to find possible rational roots.
±99, ±11, ±9, ±3, ±1
By trial and error, the zeros are -11, -3, 1, and 3.
f(x) = (x + 11) (x + 3) (x − 1) (x − 3)
Answer:
Final cost = 0.9328y
Step-by-step explanation:
Assume,
Original price = y
Given:
Discount = 22%
Sales tax = 6%
Computation:
Sales tax will be added on sale value
So,
Sales price = y[100%-22%]
Sales price = 0.88y
Price after sales tax :
Final cost = 0.88y[100% + 6%]
Final cost = 0.88y[106%]
Final cost = 0.9328y
Answer:
The probability that a family spends less than $410 per month
P( X < 410) = 0.1151
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given mean of the population = 500 </em>
<em>Given standard deviation of the Population = 75</em>
Let 'X' be the variable in normal distribution
<em>Given X = $410</em>
<em></em><em></em>
<u><em>Step(ii):-</em></u>
The probability that a family spends less than $410 per month
P( X < 410) = P( Z < - 1.2 )
= 0.5 - A( -1.2)
= 0.5 - A(1.2)
= 0.5 - 0.3849 ( ∵from normal table)
= 0.1151
<u>Final answer:-</u>
The probability that a family spends less than $410 per month
P( X < 410) = 0.1151