Answer:
$247.50
Step-by-step explanation:
$750-33%=$502.50
$750-$502.50= $247.50
Remember it's not asking for the final amount, just how much it went down by.
Answer:
you're not doing anything wrong
Step-by-step explanation:
In order for cos⁻¹ to be a function, its range must be restricted to [0, π]. The cosine value that is its argument is cos(-4π/3) = -1/2. You have properly identified cos⁻¹(-1/2) to be 2π/3.
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Cos and cos⁻¹ are conceptually inverse functions. Hence, conceptually, cos⁻¹(cos(x)) = x, regardless of the value of x. The expected answer here may be -4π/3.
As we discussed above, that would be incorrect. Cos⁻¹ cannot produce output values in the range [-π, -2π] unless it is specifically defined to do so. That would be an unusual definition of cos⁻¹. Nothing in the problem statement suggests anything other than the usual definition of cos⁻¹ applies.
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This is a good one to discuss with your teacher.
Answer:
a. .0554
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
The probability of success is .06.
This means that ![p = 0.06](https://tex.z-dn.net/?f=p%20%3D%200.06)
What is the probability of two successes in seven trials?
This is P(X = 2) when n = 7. So
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 2) = C_{7,2}.(0.06)^{2}.(0.94)^{5} = 0.054](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B7%2C2%7D.%280.06%29%5E%7B2%7D.%280.94%29%5E%7B5%7D%20%3D%200.054)
The correct answer is given by option a.
24
Step-by-step explanation:
Well 6 times 8 is 48 so
8 times 3 is 24
The answer to the equation is negative 1 changes to a positive 1.