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never [62]
3 years ago
5

If you were to roll two dice, how many different ways could you roll double fours?

Mathematics
1 answer:
muminat3 years ago
5 0

Answer:

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice

Step-by-step explanation:

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Jamie sees a sale at the Gaming Store where all games are the same price. He buys 3 video games. His sister talks him into also
galina1969 [7]

Answer: 3x + 5 = 57.50

Step-by-step explanation:

Assume that the price of one video game is x. Jamie bought 3 video games so the expression will be:

= 3x

His sister talked him into buying two $1.50 candy bars and a $2.00 drink. The total of this is:

= 1.50 + 1.50 + 2.00

= $5.00

The total amount spent on both the video game and the snacks is $57.50. Equation will therefore be:

3x + 5 = 57.50

5 0
2 years ago
A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of
Bumek [7]

Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

fᵧ = ∂f/∂y = -2y = -4

∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

7 0
2 years ago
Kyle's car repair costs $1000. He has 2 coupons which could save him $80 off of $1000, or 15% off of $1000. EXPLAIN WHICH COUPON
never [62]
Answer:

Kyle would save more using his 15% off of $1000 coupon.

Explanation:

15 ÷ 100 • 1000 = 150

1000 - 150 = $850

$150 is the amount the 15% coupon took off.

$850 is the amount Kyle will pay.

vs.

1000 - 80 = $920
6 0
2 years ago
Given Δ XYZ ≅ Δ EGF, find the measurements of the unknown sides and angles.
mamaluj [8]
The two triangles are similar and equal therefore; It means the corresponding sides are equal and the corresponding angles are equal. Hence;
 ZX=EF, thus,ZX = 1.3 in. 
EG = XY, thus, EG = 3.0 in.
m∠ X = m∠E, thus m ∠X = 48°
m∠ G = m∠Y, and angles in a triangle add up to 180 thus;
  m ∠ G=180- (107 +48) = 25°

6 0
2 years ago
Read 2 more answers
What is 5/12 divided by 3/16 as a fraction?
GuDViN [60]
<span>The answer is
= 20/9
=2 2/9</span>
8 0
3 years ago
Read 2 more answers
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