1. Let ()=−(+2)2(+)3(−5)(−3)2(+6)3.A. Let D= 10. Create a sign chart to solve ()≥0 with this value for D. Write your solution in interval notation. Solutions without sign charts will receive a score of zero.

C. Let D= -3. Create a sign chart to solve ()≥0 with this value for D. Write your solution in interval notation. Solutions without sign charts will receive a score of zero.

Completed question:

In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

Answer:

0.557

Step-by-step explanation:

For each game, the probability of not end in a draw is 1 - 0.127 = 0.873. Thus, because each game is independent of each other, the probability of all of them not end in a draw is the multiplication of the probability of each one:

0.873x0.873x0.873x...x0.873 = 0.873⁶ = 0.443

Thus, the probability that at least one of them end in a draw is the total probability (1) less the probability that none of them en in a draw:

1 - 0.443

0.557

Answer:  g(x) = (x + 1)² + 3

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

• "a" is the vertical stretch
• -a is a reflection over the x-axis
• h is the horizontal shift (positive = right, negative = left)
• k is the vertical shift (positive = up, negative = down)

f(x) = x²

Given: 3 units up   -->   k = 3

           1 unit left    -->   h = -1

                     g(x) = (x + 1)² + 3

The translation of the graph of a function is one where the graph is moved to a different location on the plane that does not include a change in shape or rotation

The resulting function from the translation of the function f(x) = x², 3 units up and 1 unit left, g(x) = x² + 2·x + 4

The process by which the above value for g(x) is found is presented as follows:

The given function f(x) = x²

The vertical translation given to the function = 3 units up

The horizontal translation given to the function  = 1 unit left

The required parameter;

To find the resulting function g(x) that has results from the given translations

Solution:

A translation of a function y = f(x) vertically,k units upwards is the function y = f(x) + k

A translation of a function y = f(x) horizontally, k, units left, is the function y = f(x + k)

Therefore, we get

g(x) = f(x + 1) + 3 = (x + 1)² + 3 = x² + 2·x + 4

g(x) = x² + 2·x + 4

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Answer:

2.22%

Step-by-step explanation:

Recall that year 1, the base year, has a CPI of 100.

From question 1, we know that the CPI of year 2 is 102.22.

To find the rate of inflation, find the percent change from year 1 to year 2:

102.22-100= 0.0222, or 2.22%

_________

    100

Final answer:

The CPI for year 2 can be calculated by finding the total cost of the basket of goods in year 2 and comparing it to the total cost in the base year.

The solution of CPI is 197.40

Explanation:

The CPI (Consumer Price Index) for year 2 can be calculated by first finding the total cost of the basket of goods in year 2 and then comparing it to the total cost in the base year.

In this case, the basket consists of 1 bottle of shampoo and 2 bars of soap.

The price of a bottle of shampoo in year 2 is $5.00 and the price of a bar of soap is $1.30.

So, the total cost of the basket in year 2 is (1 * $5.00) + (2 * $1.30) = $7.60.

Next, we need to find the total cost of the basket in the base year, which is given as $1.25 for a bottle of shampoo and $1.30 for a bar of soap.

So, the total cost in the base year is (1 * $1.25) + (2 * $1.30) = $3.85.

Finally, we can calculate the CPI for year 2 by dividing the total cost in year 2 by the total cost in the base year and multiplying by 100:

CPI = (Total cost in year 2 / Total cost in base year) * 100 = ($7.60 / $3.85) * 100 = 197.40 (rounded to two decimal places).

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Answer:

solution

Step-by-step explanation:8 days

Answer: 33.42

Step-by-step explanation: 0.42 + (35 - 2) —> 0.42 + 33 = 33.42

Answer:

Step-by-step explanation:

50

Answer:

Reject the null hypothesis.

Step-by-step explanation:

n1 = 16

n2 = 21

S.V1 = 5.8

S.V2 = 2.4

= 0.05

= Population Variance 1 ≤  Population Variance 2

= Population Variance 1 >  Population Variance 2

Test statistic value = 5.8 / 2.4 = 2.417

Degrees of freedom is n - 1

15 and 20

Critical value is = 2.2

2.417 > 2.2

we reject the null hypothesis as the critical value is greater than the test statistic.