The total cost for this item is $18.19.
To find the sales tax of something, you move the decimal two places to the left on the percent. Then you multiply the items cost and the tax together, which gets you $1.19. Add the original amount with 1.19 and you get 18.19.
Answer:
3125*k^9 + y^3 is an integer my closure property.
but 5^(1/3) is not an integer, which forces z to be irrational.
Note that there is no way an integer value can rationalize 5^(1/3)
Step-by-step explanation:
x^3 = 25z^3 - 5y^3
x^3 = 5 ( 5z^3 - y^3)
x = (5 ( 5z^3 - y^3) )^(1/3) must be an integer
= 5^(1/3) * (5z^3 - y^3)^(1/3)
Then (5z^3 - y^3)^(1/3) = 25*k^3 for some integer k
5z^3 - y^3 = 15625*k^9
5z^3 = 15625*k^9 + y^3
z^3 = 3125*k^9 + (1/5)*y^3
z = ( 3125*k^9 + (1/5)*y^3 )^ ( 1/3)
The exact product would be 3032
Answer:
The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.
Step-by-step explanation:
We can use basic binomial distribution, which is given by the formula:
Where <em>n</em> represent the number of trials, <em>x</em> represent the number of successes desired, <em>p</em> represent the chance of success, and <em>q</em> represent the chance of failure.
Since we are flipping a coin 10 times, we are conducting 10 trials. So, <em>n</em> = 10.
We want to probability that it lands on heads exactly 7 out of 10 times. So, the number of desired successes <em>x</em> is 7.
The probability of success <em>p</em> is 1/2.
And the probability of failure <em>q</em> is also 1/2.
Substituting:
The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.
In order to confirm which of the given above is an identity, what we are going to do is to check them each. By definition, an identity<span> is an equality relation A = B.
After checking each options, the answers that are considered as identities would be options C and D. So here is how we proved it. Let's take option C.
</span><span>cos^2(3x)-sin^2(3x)=cos(6x)
cos^2(3x)-sin^2(3x)=cos(2*3x)
cos^2(3x)-sin^2(3x)=cos(3x+3x)
cos^2(3x)-sin^2(3x)=cos(3x)cos(3x)-sin(3x)sin(3x)
cos^2(3x)-sin^2(3x)=cos^2(3x)-sin^2(3x)
</span>So based on this, we can conclude that <span>cos^2 3x-sin^2 3x=cos6x is an identity.
This is also the same process with option D.
Hope this answer helps.</span>
