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2 years ago

1 the probability of rolling a number greater than 5 on a standard number cube.

Mathematics

1 answer:

Allushta [10]2 years ago

4 0

Answer: 1/6

Step-by-step explanation:

Because there's only one number that's greater than 5 on a numbered cube and that's '6'

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X2+11x+30 what does x2 mean

Alexxandr [17]

x^2 in the function that you typed is x * x ( x multiplied by x). It represents a second degree because there are only 2 "x"s multiplied together. If there were 3 "x"s multiplied together, we would have x^3. Since the highest exponent in this function is 2 (in x^2), we call this function a 2nd degree polynomial.

4 0

2 years ago

A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models

polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

$x_2$ is the second point in the function

$x_1$ is the first point in the function

$f(x_2)$ is the function evaluated at the second point

$f(x_1)$ is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so $x_1=1$ and $x_2=10$ . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

$Av=9$

Since $f(x)$ represents the number of pounds per acre and $x$ the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

6 0

3 years ago

Find the value of each expression in simplest form 1 2/3 + 2 3/4

Kruka [31]

Answer:

The answer is 4 5/12

Step-by-step explanation:

5/3 + 11/4

=5x4 - 3x4 + 11x3 - 4x3

=20/12 + 33/12

=53/12

Simplified

= 4 5/12

Hope this helps. :D

7 0

2 years ago

H (x) =4x-2 complete the function table

Helen [10]

Note:

You did not mention the table of the points. But, I would try to clear your concept by taking 6 sample points.

Answer:

The table and the graph of the function h(x) = 4x-2 is also attached below.

Step-by-step explanation:

Given the function

$h(x) = 4x-2$

substituting x = 0 in the function

h(0) = 4(0) -2 = 0 -2 = -2

Therefore, the point (0, -2) satisfies on the function.

substituting y = 1 in the function

h(1) = 4(1) -2 = 4 -2 = 2

Therefore, the point (1, 2) satisfies on the function.

substituting y = 2 in the function

h(2) = 4(2) -2 = 8 -2 = 6

Therefore, the point (2, 6) satisfies on the function.

substituting y = 3 in the function

h(3) = 4(3) -2 = 12 -2 = 10

Therefore, the point (3, 10) satisfies on the function.

substituting y = 4 in the function

h(4) = 4(4) -2 = 16 -2 = 14

Therefore, the point (4, 14) satisfies on the function.

substituting y = 5 in the function

h(5) = 4(5) -2 = 20 -2 = 18

Therefore, the point (5, 18) satisfies on the function.

Therefore, we conclude that table:

x h(x) = 4x-2

0 -2

1 2

2 6

3 10

4 14

5 18

The graph of the function h(x) = 4x-2 is also attached below.

5 0

2 years ago

You scored 12, 8, 15, and 21 points during your first four basketball games. Find your mean score per game

lapo4ka [179]

Given:

You scored 12, 8, 15, and 21 points during your first four basketball games.

To find"

The mean score per game.

Solution:

We have,

Observations =12, 8, 15, and 21 points

Number of observations = 4

We know that,

$\text{Mean}=\dfrac{\text{Sum of the observations}}{\text{Number of observations}}$

The mean score per game is

$\text{Mean}=\dfrac{12+8+15+21}{4}$

$\text{Mean}=\dfrac{56}{4}$

$\text{Mean}=14$

Therefore, the mean score per game is 14 points.

5 0

3 years ago