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2 years ago

13

Two spinners have been spun 100 times. Using the experimental probabilities below, what is the best guess for the number of time

s these spinners would land on the same number in 10 spins?

1 answer:

Agata [3.3K]2 years ago

3 0

It could be any time, but I would say 10. 10*10=100

hope it helps!

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What is the solution set for this linear-quadratic system of equations?

Lostsunrise [7]

Y - x - 3 = 0
y = x + 3

y = x^2 - x - 12
x + 3 = x^2 - x - 12
x^2 - x - 12 - x - 3 = 0
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0

x - 5 = 0 y = x + 3
x = 5 y = 5 + 3
y = 8

x + 3 = 0 y = x + 3
x = -3 y = -3 + 3
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so ur solutions are : (5,8) and (-3,0)

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3 years ago

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A basketball court is 150 feet from the net to net how many yards make up a basketball court

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3 years ago

Points D, E, and F are on circle C and EF ≅ DF. What is the measure of ∠CDF?

antiseptic1488 [7]

The answer is

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2 years ago

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Solve the following system of linear equations: 3x1+6x2+6x3 = -9 -2x1–3x2-3x3 = 3 If the system has infinitely many solutions, y

choli [55]

Answer:

The set of solutions is $\{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number} \}$

Step-by-step explanation:

The augmented matrix of the system is $\left[\begin{array}{ccccc}3&6&6&-9\\-2&-3&-3&3\end{array}\right]$ .

We will use rows operations for find the echelon form of the matrix.

In row 2 we subtract $\frac{2}{3}$ from row 1. (R2- 2/3R1) and we obtain the matrix $\left[\begin{array}{cccc}3&6&6&-9\\0&1&1&-7\end{array}\right]$
We multiply the row 1 by $\frac{1}{3}$ .

Now we solve for the unknown variables:

$x_2+x_3=-7$ , $x_2=-7-x_3$
$x_1+2x_2+2x_3=-2$ , $x_1+2(-7-x_3)+2x_3=-2$ then $x_1=12$

The system has a free variable, the the system has infinite solutions and the set of solutions is $\{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number} \}$

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2 years ago

Point B has coordinates (3,1). The x-coordinate of point A is negative 1. The distance between point A and point B is 5 unit

mina [271]

Answer:

Given in quesion:Point B (3,1) and point A is -1. Distance between A and B is 5 units.

Using distance formula for AB we obtain,

AB^2=(x2-x1)^2 + (y2-y1)^2

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Therefore the possible co-ordinates of A are(-1,-2).This is your required answer.

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2 years ago