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Bess [88]
3 years ago
5

Please help me on 7&8 and please show your work :)

Mathematics
1 answer:
Llana [10]3 years ago
5 0
7. 6/12 or 1/2 | 8. 5/12

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What is the probability of tossing a coin three times and getting tails each time?
telo118 [61]

Answer:

1/8

Step-by-step explanation:

This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.

The probability of flipping tails is 1/2. We need three of these.

1/2 x 1/2 x 1/2 = 1/8

3 0
2 years ago
Find a point on the curve x^3+y^3=11xy other than the origin at which the tangent line is horizontal.
attashe74 [19]

Compute the derivative dy/dx using the power, product, and chain rules. Given

x³ + y³ = 11xy

differentiate both sides with respect to x to get

3x² + 3y² dy/dx = 11y + 11x dy/dx

Solve for dy/dx :

(3y² - 11x) dy/dx = 11y - 3x²

dy/dx = (11y - 3x²)/(3y² - 11x)

The tangent line to the curve is horizontal when the slope dy/dx = 0; this happens when

11y - 3x² = 0

or

y = 3/11 x²

(provided that 3y² - 11x ≠ 0)

Substitute y into into the original equation:

x³ + (3/11 x²)³ = 11x (3/11 x²)

x³ + (3/11)³ x⁶ = 3x³

(3/11)³ x⁶ - 2x³ = 0

x³ ((3/11)³ x³ - 2) = 0

One (actually three) of the solutions is x = 0, which corresponds to the origin (0,0). This leaves us with

(3/11)³ x³ - 2 = 0

(3/11 x)³ - 2 = 0

(3/11 x)³ = 2

3/11 x = ³√2

x = (11•³√2)/3

Solving for y gives

y = 3/11 x²

y = 3/11 ((11•³√2)/3)²

y = (11•³√4)/3

So the only other point where the tangent line is horizontal is ((11•³√2)/3, (11•³√4)/3).

3 0
2 years ago
**NEED ANSWER ASAP** write an equation of a line that passes through the x-intercept 4 with slope -3
Svet_ta [14]

Answer:

y=4x+-3 is your equation

7 0
2 years ago
Read 2 more answers
Shania’s workout playlist includes songs from four types of music. ● 32 country songs ● 48 rap songs ● 12 hip-hop songs ● 8 blue
nikitadnepr [17]

Answer:

Hi there

Step-by-step explanation:

What exactly is the question being asked?

5 0
2 years ago
Write 3 times the square root of 2 plus 2 times the square root of 3 in simplest form.
lubasha [3.4K]

Answer:

D

Step-by-step explanation:

3\sqrt{2} + 2\sqrt{3}

is in simplest form and cannot be simplified further


8 0
3 years ago
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