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2 years ago

P (1 or 9)= or %

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

6 0

Answer:

50%

Step-by-step explanation:

If the outcomes 1 and 9 are equally likely, this would mean they both have a 50% chance of outcome.

<h2 /><h2>p (1 or 9) = or 50%</h2><h2 /><h2>I hope this was helpful! =)</h2>

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Use the parabola tool to graph the quadratic function y=-1? - 2.0 +8

Andreas93 [3]

Answer:

see explanation

Step-by-step explanation:

I don't have graphing facilities but can give you the vertex and 1 other point.

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - $\frac{b}{2a}$

y = - x² - 2x + 8 ← is in standard form

with a = - 1 and b = - 2 , then

x = - $\frac{-2}{-2}$ = - 1

Substitute x = - 1 into the equation for corresponding value of y

y = - (- 1)² - 2(- 1) + 8 = - 1 + 2 + 8 = 9

vertex = (- 1, 9 )

To obtain another point substitute any value for x into the equation

x = 0 : y = 0 - 0 + 8 , then (0, 8 ) is a point on the graph

x = 2 : y = - (2)² - 2(2) + 8 = - 4 - 4 + 8 = 0 then (2, 0 ) is a point on the graph

3 0

2 years ago

What is the area of the square below ?

ivolga24 [154]

To find the are of a square, we simply square the value of a side
so..
${5}^{2} = area$
Area = 25 square units

6 0

3 years ago

A plastic ball is filled with gel to make a stress ball. If the ball has a radius of 4 cm, how much

Dafna1 [17]

Answer:

267.947 cm^{3} of gel is required to fill the plastic ball.

Step-by-step explanation:

<em>The radius of the ball is given as 4 cm.</em>

<em>The gel is filled in the plastic ball, that means the gel occupies the volume of the radius.</em>

The volume of the sphere is given by the formula,

$V = \frac{4}{3}(\pi)R^{3}$ , the R is the radius of sphere.

$V = \frac{4}{3}(\pi)(4)^{3} = 267.947 cm^{3}$

Thus, the volume of gel required to fill the plastic ball to make it stress ball is

267.947 cm^{3} of gel.

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3 years ago

Suppose you have just enough money, in coins, to pay for a gallon of milk priced at $2.40. You have 12 coins, all quarters and d

wel

The answer is
q + d = 12
0.25q + 0.10d = 2.40

q - the number of quarters
d - the number of dimes

You have 12 <span>coins, all quarters and dimes:
q + d = 12

The value of 1 quarter is $0.25.
The value of 1 dime is $0.10.
Therefore, if you want to pay </span>$2.40 you will have q quarters of value $0.25(0.25q) and d dimes of value $0.10d (0.10d).
The second equation is:
0.25q + 0.10d = 2.40

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3 years ago

Solve the system by elimination. (Please explain how to do it)

Naddika [18.5K]

Apply to Row 2 : Row 2 + Row 1

2x + 2y + 3z = 0

y + 4z = -3

2x + 3y + 3z = 5

Apply to Row 3: Row 3 - Row 1

2x + 2y + 3z = 0

y + 4z = -3

y = 5

Apply to Row 3: Row 3 - Row 2

2x + 2y + 3z = 0

y + 4z = -3

-4z = 8

Simplify rows

2x + 2y + 3z = 0

y + 4z = -3

z = -2

<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>

Apply to Row 2: Row 2 - 4 Row 3

2x + 2y + 3z = 0

y = 5

z = -2

Apply to Row 1: Row 1 - 3 Row 3

2x + 2y = 6

y = 5

z = -2

Apply to Row 1: Row 1 - 2 Row 2

2x = -4

y = 5

z = 2

Simplify the rows

3 0

2 years ago