no because pendas means parentheses multiplication division left to right addition subtraction left to right
X² <span>+ 11x + 7
because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:
(-b </span>± √((b)² - 4ac))/(2a)
in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))
not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2
and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:
(x - (-11 - √93)/2) and (x + (-11 - √93)/2)
they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:
(x + (11 + √93)/2) (x - (11 - √93)/2)
and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
B. its 1/2 of the original volume, because the pyramid is doubled the height and, the length and width are cut in half. It would equal 1/2 the volume of the original pyramid.
Mr. Gardener's annual interest rate is 8%.
40,000/500,000 = 0.08
Answer:
a. Discrete probability distribution, frequent rider club, 0.65 of 20
b. 13
c. $60
d. $57.50
Step-by-step explanation:
a. X follows a discrete probability distribution because it involves discrete random variables which have probability mass function and frequency.
f(x) =0.65 of 20 passengers
b. if 0.65 0f 20 passengers are frequent riders,
then, the frequent riders will be 13 passengers
c. expected revenue will be $3 *20 passengers which will be $60.
the total number of passengers given tickets is 20 and the price for each is $3. thus, making the parameters to be price and number of passengers.
d. if the frequent riders are charged $2, then the amount paid by this group will be $2*13 which is $26
and if $4.50 is paid by the regular passengers it will be $4.50*(20-13) which is $31.50.
therefore, expected revenue will be $26+$31.50 equals $57.50
