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2 years ago

6

Assume your friend just took an exam made up of 20 true/false questions. further assume that your friend had no knowledge releva

nt to the questions, and consequently just guessed the answer to each question what is the probability your friend will pass the exam?

1 answer:

leonid [27]2 years ago

8 0

Answer:

10/20 or 1/2 it is 50% chance that she pass and 50% that she fail

Step-by-step explanation:

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The formula for converting the length from meters to centimeters is given as M = . Rewrite the following equation so that C is a

MAVERICK [17]

1 meter is equal to 100 centimeters so half of one meter is 0.5 so half of one centimeter is 50 centimeters.

4 0

3 years ago

3. The curve C with equation y=f(x) is such that, dy/dx = 3x^2 + 4x +k

Andreas93 [3]

a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have

$\displaystyle \frac{dy}{dx} = 3x^2 + 4x + k \implies y = f(0) + \int_0^x (3t^2+4t+k) \, dt$

Evaluate the integral to solve for y :

$\displaystyle y = -2 + \int_0^x (3t^2+4t+k) \, dt$

$\displaystyle y = -2 + (t^3+2t^2+kt)\bigg|_0^x$

$\displaystyle y = x^3+2x^2+kx - 2$

Use the other known value, f(2) = 18, to solve for k :

$18 = 2^3 + 2\times2^2+2k - 2 \implies \boxed{k = 2}$

Then the curve C has equation

$\boxed{y = x^3 + 2x^2 + 2x - 2}$

b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:

$\dfrac{dy}{dx}\bigg|_{x=a} = 3a^2 + 4a + 2$

The slope of the given tangent line $y=x-2$ is 1. Solve for a :

$3a^2 + 4a + 2 = 1 \implies 3a^2 + 4a + 1 = (3a+1)(a+1)=0 \implies a = -\dfrac13 \text{ or }a = -1$

so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).

Decide which of these points is correct:

$x - 2 = x^3 + 2x^2 + 2x - 2 \implies x^3 + 2x^2 + x = x(x+1)^2=0 \implies x=0 \text{ or } x = -1$

So, the point of contact between the tangent line and C is (-1, -3).

7 0

2 years ago

Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three

Triss [41]

Answer:

9, 12

Step-by-step explanation:

Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15

8 0

2 years ago

5(10-6)<br> 6(4+10)<br> Help me, I find the bracket confusing

ira [324]

Answer:

20

30

Step-by-step explanation:

Do 5 times ten.

5 times -6

Gives you 20

Then do 6 times 4, 6 times 10, to get the final answer of 30.

4 0

3 years ago

Read 2 more answers

A rectangle measures 2 4/ 5 inches by 1 1/ 5 inches. What is its area?

AlexFokin [52]

[ Answer ]

$\boxed{3\frac{9}{25} }$

[ Explanation ]

Area Of Rectangle: Length * Width

2 4/5 * 1 1/5

=======================

Convert Fractions Into Mixed Numbers:

2 4/5 = 14/5

1 1/5 = 6/5

Multiply Across:

14 * 6

5 * 5

= 84/ 25

Simplify:

3 9/25

$\boxed{[ \ Eclipsed \ ]}$

4 0

3 years ago