Area= a*height
the formula for an isosceles trapezoid is 1/2(base1+base2)*height. 1/2 base 2 and 2a will simplify to a base length of a. a times height or a*height
Answer:
You can break 24 things
Step-by-step explanation:
One minute is 60 seconds, so all you have to do is double how many things you can break in 30 seconds
2x^2 + 25x + 50 not sure about the steps
Step-by-step answer:
assuming the true-false test have equal probabilities (each 0.5), we can use the binomial probability to calculate the sum of probabilities of getting 10, 11 or 12 questions correctly out of 12.
p=probability of success = 0.5
N=number of questions
x = number of correct answers
then
P(x) = C(N,x)(p^x)((1-p)^(N-x))
where C(N,x) = N!/(x!(N-x)!) = number of combinations of taking x objects out of N.
P(10) = C(12,10)(0.5^10)((1-0.5)^2) = 33/2048 = 0.01611
P(11) = C(12,11)(0.5^11)((1-0.5)^1) = 3/1024 = 0.00293
P(12) = C(12,12)(0.5^12)((1-0.5)^0) = 1/4096 = 0.00024
for a total probability of 79/4096 = 0.01929
Answer:
6 weeks
Step-by-step explanation:
From the question:
Let us represent the number of weeks as x
Andre and Alina are each saving money.
For Andre:
Andre starts with $100 in a savings account and adds five dollars per week
$100 + $5 × x
= 100 + 5x
For Elena
Elena starts with $10 in her savings account and add $20 each week
$10 + $20 ×x
= 10 + 20x
The next step is to equate both algebraic expression for Andre and Elena together
Hence:
100 + 5x = 10 + 20x
Collect like terms
100 - 10 = 20x - 5x
90 = 15x
x = 90/15
x = 6 weeks
Hence, after 6 weeks Andre and Elena would have the same amount of money in their savings account.
