What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and velocity of the toy car.

Answers

Answer 1

Answer:

Part A: The correlation coefficient is 1. It means that the values of both x and y has a strong relationship giving them a avalue of 1.

Part B: The value of the slope of the graph is 0.5. the slope of the line represents how steep is the line of your graph

Part C: The data presented is correlation.

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Answer:

Perimeter of the given figure is :---

$(2n) + (2n) +( n + 5) + (n + 5) + (3n + 3) \n = 2n + 2n + n + 5 + n + 5 + 3n + 3 \n = \boxed{9n + 13}✓$

(9n+13) is the right answer

Compute the permutations and combinations.

4 P 4

1
4
24

Answers

The answer is a.
4 P 4 = 24

Jenny James has score of 78 89 90 and 96 on her first four test what score should she make out of 100 points in order to have at least an average of 90

Answers

Answer:

Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.

Step-by-step explanation:

Given that:

Scores of four tests

78, 89, 90 and 96

Let,

x be the score on fifth test.

Average is the sum of quantities divided by total number of quantities.

Average = 90

Average = $(Sum\ of\ scores)/(No.\ of scores)$

Putting the values in the formula;

$90=(78+89+90+96+x)/(5)\n90=(353+x)/(5)\n90*5=353+x\n450=353+x\n450-353=x\nx=97$

Hence,

Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.

Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales indollars, x, which can be represented by g(x) = 185 + 0.03x. Jim is paid $275 per week plus 2.5%
of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the
value of x, in dollars, that will make their weekly pay the same.

Answers

Guy's weekly pay is:
185 dollars + 3/100 * x (3 percent of X -> his total weekly sales in dollars).
Jim's weekly pay is:
275 dollars + 25/1000 * x (2.5 percent of X -> his total weekly sales in dollars, i.e. 2.5/100 = 0.025).
We need to have these weekly pays the same, so we equalize these expressions and solve the obtained equation by x:
185 + 0.03*x = 275 + 0.025*x
we switch free numbers to the right side and unknowns to the left side of equation:
3/100 * x - 25/1000 * x = 275 - 185
3/100 * x - 25/1000 * x = 90 /*1000 (multiply whole equation by a 1000, to loose fractions)
we get:
30*x - 25*x = 90000
5*x = 90000, divide whole equation by 5 (which means both sides of equation):
x = 90000/5
x = 18000 dollars
Value of x is 18 000 for which their weekly pay is the same.

Factor this please: x^4-9x^2+20

Answers

Your answer is (x+2)(x-2)(x^2-5)

x = ± √5 = ± 2.2361 x = 2 x = -2

In a different plan for area codes, the first digit could be any number from 4 through 8, the second digit was either 3, 4, 5, or 6, and the third digit could be any number exceptnbsp 2 or 5. with this plan, how many different area codes are possible?

Answers

The possible area codes for different plan are $160$ .

Step-by-step explanation:

Given: In a different plan for area codes, the first digit could be any number from $4$ through $8$ , the second digit was either $3,\;4,\;5,\;\rm{or}\;6$ and the third digit could be any number except $2\;\rm{or}\;5$ .

As mentioned in question:

Area codes are created by digits as:

first digit could be any number from $4$ through $8$ are $4,\;5,\;6,\;7,\;8$ .

Second digit are $3,\;4,\;5,\;\rm{or}\;6$

And third digit couldbe any number except $2\;\rm{or}\;5$ are $1,3,4,6,7,8,9,0$ .

Total number of area codes are $5*4*8=160$ .

Hence, the possible area codes are $160.$

Learn about possible codes here:

brainly.com/question/23225459?referrer=searchResults

Final answer:

In a different plan for area codes, there are 140 possible codes.

Explanation:

In a different plan for area codes, the first digit could be any number from 4 through 8, the second digit was either 3, 4, 5, or 6, and the third digit could be any number except 2 or 5. To calculate the total number of possible area codes, we need to multiply the number of choices for each digit.

For the first digit, there are 5 choices (4, 5, 6, 7, 8).

For the second digit, there are 4 choices (3, 4, 5, 6).

For the third digit, there are 7 choices (0, 1, 3, 4, 6, 7, 8).

To find the total number of possible area codes, we multiply these choices together: 5 x 4 x 7 = 140.

Learn more about Area codes here:

brainly.com/question/33856218

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