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3 years ago

Please help me with this question

Mathematics

1 answer:

likoan [24]3 years ago

6 0

Answer:

P = (2, 3)

Step-by-step explanation:

P is a local minimum, so can be found from the upper zero of the derivative.

y' = 0 = 3x^2 -8x +4

0 = (3x -2)(x -2)

x = 2/3, x = 2

So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:

y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3

The coordinates of P are (2, 3).

A graphing calculator confirms this result.

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1. State if each scenario involves a permutation or a combination. Then find the number of possibilities:(a) Castel and Joe are

BaLLatris [955]

Answer:

a) This is a permutation, there are 210 ways to do it

b) This is a permutation with 6 possibilities

c) This is a combination with a total of 1081575 possibilities

Step-by-step explanation:

a) Here the order does matter bacause it is not the same that they go to France in the weak trip than they go there for 2 days, as a result, this scenario is a permutation.

You need to pick 3 countries from a total of 7, but the order matters, so the total amount of ways to do this is

${7 \choose 3} * 3! = \frac{7!}{(7-3)!} = 210$

b) Here each permutation of 123 will give you a possible (and a different one from the others) lock-combination, so this is again a permutation.

The total amount of ways we have to do the selectio of the lock-combination is the total amount of permutations of a set of 3 elements, in other words, it is 3! = 6.

c) If you only cares about who advances to the finals, then the order doesnt matter here, you just want 8 people out of the 25 available. This is therefore a combination, and the total amount of possible cases are

${25 \choos 8} = 1081575$ .

5 0

3 years ago

What is the volume of a right rectangular prism with a length of 19 centimeters, a width of 3 6 centimeters, and a height of 2.7

solong [7]

Answer:

184.68cm

Step-by-step explanation:

19x3.6=68.4

68.4x2.7=184.68

I think the answer is C. and you accidentally put the dot in the wrong place.

7 0

3 years ago

Lowest common multiple between 10 and 19

lianna [129]

LCM between 10 and 19 is 190.

First we can find the prime factorization of 10:

2 * 5.

Prime factorization of 19:

19.

2 * 5 * 19 = 190

3 0

3 years ago

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.

gavmur [86]

To answer the question, simplify the polynomial by adding those that has the same degree of variable,
6 - 3x + (6x³ - 2x³)
6 - 3x + 4x³
Rearrange the polynomial with decreasing exponent or x,
4x³ - 3x + 6
This is a third-degree polynomial.

5 0

3 years ago

Read 2 more answers

A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.64 years and the standard deviation i

____ [38]

Answer:

See below for answers and explanations

Step-by-step explanation:

Assuming that conditions have been met for the interval, we use the formula $\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}$ where $\bar{x}$ represents the sample mean, $t$ represents the critical value, $s$ represents the sample standard deviation, and $n$ is the sample size.

The critical value of $t$ for an 80% confidence level with degrees of freedom $df=n-1=25-1=24$ is equivalent to $t=1.317836$

Thus, we can compute the confidence interval:

$\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}\\\\CI=32.64\pm1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\\\\CI\approx\{30.17,35.11\}$

Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.

The margin of error is $\displaystyle t\frac{s}{\sqrt{n}}=1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\approx2.47$

6 0

2 years ago