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3 years ago

A die is rolled two separate times. What is the probability that the first roll is a 4 and then the second roll is a 2? *

Mathematics

1 answer:

padilas [110]3 years ago

6 0

Answer:

So we know that rolling a fair six-sided die twice would mean the total possible outcomes would be 36, and rolling the 4 on the first roll and a 2 on the second roll would be 2/36 or 1/18

Step-by-step explanation:

(1/6)*(1/6)=(2/36)=(1/18)

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2 dived by 440 eplain please

dimulka [17.4K]

2/440 Original Mathematical Expression.

1/220 Divide numerator and denominator by 2.

This equals . . .

0.004545454545 repeating

(I just plugged 1/220 into calculator)

Final Answer: 1/220 or 0.004545454545 repeating

6 0

2 years ago

Please help. Thank you!

katrin2010 [14]

Answer:

3a. ⇒ 2700 cm³

3b. ⇒ 72,900 cm³

3c. ⇒ 27

Step-by-step explanation:

3a.

∵ The model in a shape of square pyramid

∴ Its volume = base area × height

∵ Base shaped square with side length 15 cm

∴ Area of base = 15 × 15 = 225 cm²

∵ The model height = 12 cm

∴ She needs = 225 × 12 = 2,700 cm³ of plaster

3b.

∵ Each dimension in the actual stage = 3 times the model

∴ The side of the square base = 15 × 3 = 45 cm

∴ The height = 12 × 3 = 36 cm

∴ The area of the base = 45 × 45 = 2,025 cm²

∴ She needs = 2025 × 36 = 72,900 cm³ of plaster

3c.

∵ Each length in the actual stage is 3 times the model

∴ The volume of the actual stage = (3)³ the volume of the model

∴ The volume of the actual stage = 27 the volume of the model

<em>To check your answer:</em>

Volume actual ÷ Volume model = 72,900 ÷ 2700 = 27

3 0

3 years ago

Determine the product, h (x), of the linear and quadratic factors.

Wewaii [24]

$h(x) =8x^3-19x^2+14x-3$

Step-by-step explanation:

Given functions are:

$f(x) = 8x-3\\g(x) = (x-1)^2$

h(x) is the product of g(x) and f(x)

$h(x) = f(x) * g(x)\\= (8x-3)(x-1)^2\\= (8x-3)(x^2-2x+1)\\= 8x(x^2-2x+1)-3(x^2-2x+1)\\= 8x^3-16x^2+8x-3x^2+6x-3$

Combining like terms

$=8x^3-16x^2-3x^2+8x+6x-3\\=8x^3-19x^2+14x-3$

Hence,

$h(x) =8x^3-19x^2+14x-3$

Keywords: Functions, product

Learn more about functions at:

#LearnwithBrainly

8 0

3 years ago

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3ft long with a diameter of 2.2 ft . S

Contact [7]

4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step-by-step explanation:

The given is,

Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.

Oil drained at a rate of 2.5 $ft^{3}$ per minute.

Step:1

Time taken to dry the oil tank is,

T = $\frac{Volume of oil}{Oil drain rate}$ ....................................(1)

Step:2

Volume of the oil is,

$V = \pi r^{2} h$ .................................................(2)

Where, r - Radius of Cylinder

$r = \frac{d}{2}$

$r = \frac{2.2}{2}$

r = 1.1 ft

From eqn (1),

V = $\pi$ × $1.1^{2}$ × 3

= 11.40398 $ft^{3}$

Step:3

From equation (1)

= $\frac{11.40398}{2.5}$

= 4.56

= 4.56 minutes

T = 4 minutes 34 seconds

Result:

Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.

4 0

2 years ago

What type of triangle has exactly two acute triangles

Sveta_85 [38]

Answer: A right triangle.

Step-by-step explanation:

This is because an acute triangle would have all of its three sides acute while an obtuse one would have two acute angles as well, but also an obtuse one. If the question is specifically asking for a triangle with exactly two acute angles, a right triangle would be the answer.

8 0

3 years ago