An expression is shown below (x^4/3)(x^2/3)

Answers

Answer 1
Answer: (x^4/3)(x^2/3) =

When you multiply powers with the same base, write the ame base and add the exponents.
Here the common base is x. The exponents are 4/3 and 2/3. The exponents are added.

= x^(4/3 + 2/3)

= x^(6/3)

= x^2
Answer 2
Answer: ( x^(4)/(3)) (x^ (2)/(3))  = x^{ (4)/(3) + (2)/(3) }= x ^(6)/(3) = x^2



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Evaluate the expression when m=25
M+2(m-5)

Answers

m = 25

25 + 2(25-5) = 65

1. parentheses first (25-5) = 20
2. multiplication 2•20 = 40
3. addition 25 + 40 = 65

3. Make Sense and Persevere In the equation0.755 - s = 44 how do you combine the like
terms?

Answers

Answer:

s = -43.245

Step-by-step explanation:

First, you move the constant to the right:

-s=44-0.755

Calculate:

-s=43.245

Then, you change the signs:

s=-43.245

To explain your reasoning, you can say that:

To add any complex numbers together, you add the constants to each other and the numbers together.

which polynomials are in standard form? A. t^4-1 B. -2t^2+3t+4 C. 4t-7 D. None of The Above Choose all answers that apply

Answers

Answer:

B. -2t^2+3t+4

Step-by-step explanation:

The standard form as

ax^2 + bx + c

Option B meets that requirement, even though it has a '-' in front

Final answer:

All the given polynomials, A. t^4-1, B. -2t^2+3t+4 and C. 4t-7 are in standard form since their terms are written in descending order of their degrees.

Explanation:

In mathematical terms, a polynomial is in standard form if its terms are written in descending order of their degree, i.e. the power of the variable. This means the term with the highest power should be listed first, followed by the term with the next highest power, and so on. Let's look at the options:

  • Option A: t^4-1 is in standard form because t^4 is the highest degree term and it is listed first.
  • Option B: -2t^2+3t+4 is also in standard form as the terms are arranged in descending order of degree: 2 (in t^2), 1 (in t) and then 0 (in 4).
  • Option C: 4t-7 is in standard form as well, with the degree of the term 4t being 1 and the degree of -7 being 0.

So, in conclusion, the polynomials in standard form from the provided options are A. t^4-1,  B. -2t^2+3t+4 and C. 4t-7.

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The popular candy Skittles comes in 5 colors. According to the Skittles website, the 5 colors are evenly distributed in the population of Skittle candies. So each color makes up 20% of the population. Suppose that we purchase a small bag of Skittles. Assume this size bag always has 40 candies. In this particular bag 10 are green. What is the probability that a randomly selected bag of this size has 10 or more green candies

Answers

Answer:

27.76% probability that a randomly selected bag of this size has 10 or more green candies

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

√(V(X)) = √(np(1-p))

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = (X - \mu)/(\sigma)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = √(V(X)).

In this problem, we have that:

n = 40, p = 0.2

So

\mu = E(X) = np = 40*0.2 = 8

\sigma = √(V(X)) = √(np(1-p)) = √(40*0.2*0.8) = 2.53

What is the probability that a randomly selected bag of this size has 10 or more green candies

Using continuity correction, this is P(X \geq 10 - 0.5) = P(X \geq 9.5), which is 1 subtracted by the pvalue of Z when X = 9.5. So

Z = (X - \mu)/(\sigma)

Z = (9.5 - 8)/(2.53)

Z = 0.59

Z = 0.59 has a pvalue of 0.7224

1 - 0.7224 = 0.2776

27.76% probability that a randomly selected bag of this size has 10 or more green candies

Answer:

P(x\geq 10)=0.2682

Step-by-step explanation:

The number x of green candies in a bag of 40 candies follows a binomial distribution, because we have:

  • n identical and independent events: 40 candies
  • a probability p of success and (1-p) of fail: a probability of 0.2 to get a green candie and 0.8 to doesn't get a green candie.

So, the probability that in a bag of 40 candies, x are green is calculated as:

P(x)=(n!)/(x!(n-x)!)*p^(x)*(1-p)^(n-x)

Replacing, n by 40 and p by 0.2, we get:

P(x)=(40!)/(x!(40-x)!)*0.2^(x)*(1-0.2)^(40-x)

So, the probability that a randomly selected bag of this size has 10 or more green candies is equal to:

P(x\geq 10)=P(10)+P(11)+...+P(40)\nP(x\geq 10)=1-P(x<10)

Where P(x<10)=P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)

So, we can calculated P(0) and P(1) as:

P(0)=(40!)/(0!(40-0)!)*0.2^(0)*(1-0.2)^(40-0)=0.00013\nP(1)=(40!)/(1!(40-1)!)*0.2^(1)*(1-0.2)^(40-1)=0.00133

At the same way, we can calculated P(2), P(3), P(4), P(5), P(6), P(7), P(8) and P(9) and get that P(x<10) is equal to:

P(x<10)=0.7318

Finally, the probability P(x\geq 10) that a randomly selected bag of this size has 10 or more green candies is:

P(x\geq 10)=1-P(x<10)\nP(x\geq 10)=1-0.7318\nP(x\geq 10)=0.2682

2. The U.S public health service calculates that service health care costs have increased from $43 →> $46.5 -> $49.8 -> $53.63 per patient during the last four years, what has been the cost per patient over the four-year period?​

Answers

To calculate the cost per patient over the four-year period, we need to add up the costs for each year and then divide by the number of years.

The costs per patient for the four years are:

Year 1: $43

Year 2: $46.5

Year 3: $49.8

Year 4: $53.63

To find the total cost over the four years, we add up these costs:

$43 + $46.5 + $49.8 + $53.63 = $193.93

Now, we divide the total cost by the number of years (which is 4) to find the average cost per patient over the four-year period:

$193.93 / 4 = $48.48

Therefore, the cost per patient over the four-year period is approximately $48.48.

Final answer:

The cost per patient over the four-year period is $193.16.

Explanation:

To find the cost per patient over the four-year period, we need to calculate the percent increase for each year and then multiply the percent increase by the previous year's cost. Here are the steps:

  1. Calculate the percent increase for each year:
    • From $43 to $46.5: ($46.5 - $43) / $43 * 100% = 8.14%
    • From $46.5 to $49.8: ($49.8 - $46.5) / $46.5 * 100% = 7.10%
    • From $49.8 to $53.63: ($53.63 - $49.8) / $49.8 * 100% = 7.70%
  2. Multiply the percent increase by the previous year's cost for each year:
    • Year 1: $43 * (1 + 8.14%) = $46.57
    • Year 2: $46.5 * (1 + 7.10%) = $49.85
    • Year 3: $49.8 * (1 + 7.70%) = $53.74
  3. Add the costs for each year: $43 + $46.57 + $49.85 + $53.74 = $193.16

Therefore, the cost per patient over the four-year period is $193.16.

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Find the value of y when x = -5

Answers

Answer:

there isn't even a y here

Step-by-step explanation:

Did you not write the while question?