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zubka84 [21]
3 years ago
5

Alison is playing a video game. At the end of each level, the player is given either a bag of gold or a magic wand.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0

Outcome Bag of Gold Magic Wand

Relative frequency 0.32 0.68

The relative frequency of getting a bag of gold is .......... reasonably close

.32 is close to 30% so

Alison's claim about the theoretical probability is likely to be 2............true

Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%

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Consider the following simplified algebraic expression. Which could be the original expression?
dem82 [27]

You have to simplify each equation. You can do that by adding similar values to each other:

(the first equation)

8x²y + 7x² - 5y² + 3x - 2 + 2x²y - x² -  2y² + 3x - 4

To make it easier, arrange the values around so that similar ones are beside each other:

8x²y + 2x²y + 7x² - x² - 5y² - 2y² + 3x + 3x - 2 - 4

then add the similar values together:

8x²y + 2x²y = 10x²y

7x² - x² = 6x²

- 5y² - 2y² = -7y²

3x + 3x = 6x

(- 2)+ (- 4) = -6

and if you put them together:

10x²y + 6x² - 7y² + 6x - 6

This isn't the answer to the equation, because it's different. So repeat the process with all the other equations until you find one that is identical to the simplified version.

The answer is the second one: 8x²y + 7x² - 5y² + 3x - 2 + 2x²y - x² -  2y² - 3x - 4

6 0
3 years ago
Read 2 more answers
Please help!! What is the solution to the quadratic inequality? 6x2≥10+11x
fredd [130]

Answer:

The solution of the inequation 6\cdot x^{2} \geq 10 + 11\cdot x is \left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right).

Step-by-step explanation:

First of all, let simplify and factorize the resulting polynomial:

6\cdot x^{2} \geq 10 + 11\cdot x

6\cdot x^{2}-11\cdot x -10 \geq 0

6\cdot \left(x^{2}-\frac{11}{6}\cdot x -\frac{10}{6} \right)\geq 0

Roots are found by Quadratic Formula:

r_{1,2} = \frac{\left[-\left(-\frac{11}{6}\right)\pm \sqrt{\left(-\frac{11}{6} \right)^{2}-4\cdot (1)\cdot \left(-\frac{10}{6} \right)} \right]}{2\cdot (1)}

r_{1} = \frac{5}{2} and r_{2} = -\frac{2}{3}

Then, the factorized form of the inequation is:

6\cdot \left(x-\frac{5}{2}\right)\cdot \left(x+\frac{2}{3} \right)\geq 0

By Real Algebra, there are two condition that fulfill the inequation:

a) x-\frac{5}{2} \geq 0 \,\wedge\,x+\frac{2}{3}\geq 0

x \geq \frac{5}{2}\,\wedge\,x \geq-\frac{2}{3}

x \geq \frac{5}{2}

b) x-\frac{5}{2} \leq 0 \,\wedge\,x+\frac{2}{3}\leq 0

x \leq \frac{5}{2}\,\wedge\,x\leq-\frac{2}{3}

x\leq -\frac{2}{3}

The solution of the inequation 6\cdot x^{2} \geq 10 + 11\cdot x is \left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right).

3 0
3 years ago
Lisa is sitting on the dock beside the lake she drops a rock from her hand into the lake after the rock hits the surface of the
soldi70 [24.7K]

Answer: 4.2495 feets

Step-by-step explanation:

Given the following :

Rate of change (speed) when rock hits the lake surface = - 3in/s

Distance or depth after 5 seconds :

Distance = rate of change * time

Distance = (- 3 in/s × 5) = - 15 inches

1 inch = 0.0833 feet

15 inches = (-15 * 0.0833) = - 1.2495 feets

Distance between Lisa's hand and lake surface = 3 feets :

Distance between Lisa's hand and rock after 5 seconds :

(3 feets + 1.2495 feets) = 4.2495 feets

5 0
3 years ago
Bruno is a manager at a factory that makes in-line skates. The
SashulF [63]

Answer:

Slope- intercept form   y = 200 x + 500

Step-by-step explanation:

Given that the equation

       200x - y + 500 = 0

where   y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours

The slope-intercept form

                y = m x +C

Given equation  200x - y + 500 = 0

                          200 x + 500 =y

                       y = 200 x + 500

Slope of the equation m = 200 and y-intercept 'C' = 500

4 0
3 years ago
Can someone help solve for X
Morgarella [4.7K]

Answer:

x = 2sqrt(5)

Step-by-step explanation:

We can use the Pythagorean theorem to solve

The legs are x and 8/2 =4

and the hypotenuse is 6

a^2 + b^2 = c^2

x^2 +4^2 = 6^2

x^2 +16 = 36

Subtract 16 from each side

x^2 +16-16=36-16

x^2 = 20

Take the square root of each side

sqrt(x^2) = sqrt(20)

x = sqrt(4*5)

x = sqrt(4) sqrt(5)

x = 2sqrt(5)

5 0
3 years ago
Read 2 more answers
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