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iren2701 [21]
3 years ago
8

On any particular Saturday evening, the probability that Hannah will go to the movies and go for a coffee is 1/3. The probabilit

y that she will go for a coffee, given that she has gone to the movies, is 4/7.
What is the probability that she will go to the movies on any particular Saturday evening
Mathematics
1 answer:
pochemuha3 years ago
7 0

Answer:

7/20

Step-by-step explanation:

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One circle has a diameter of 6 inches. A larger circle has a diameter that is 4 times the diameter of the circle. what is the ra
harina [27]

Answer:

C, 1 : 16

Step-by-step explanation:

Small Circle

The radius is half of the diameter. 3 inches.

π×r²=A

We'll use 3.14 for pi.

3.14×9

28.26 in²

Bigger Circle

6×4= 24

So the diameter is 24. The radius is 12.

3.14×12²

3.14×144

452.16 in²

Let's divide.

452.16÷ 28.26

= 16

Therefore, the answer is C, 1 : 16.

Hope this helps, please mark brainliest if possible :)

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3 years ago
Cho tam giác DEF cân tại D có đường trung tuyến DI
Leviafan [203]
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1 year 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
Trigonometry<br> Special Right Triangles<br> Find the exact value of tan 30* + sin 90* + cot 60*.
fredd [130]

Answer:

1 + 2sqrt(3)/3

Step-by-step explanation:

tan(30) = sqrt(3)/3

sin(90) = 1

tan(60) = sqrt(3)

cot(60) = 1/sqrt(3) = sqrt(3)/3

sqrt(3)/3 + 1 + sqrt(3)/3

1 + 2sqrt(3)/3

3 0
3 years ago
Find the real-number root -81
oee [108]
The answer is 9 sorry if this is wrong
4 0
3 years ago
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