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3 years ago

you roll a fair number cube twice. What is the probability of rolling two 3's if the first roll is a 5? Expain

1 answer:

6 0

Well if you row the 1st time and get a 5 and only get to role 2 times the probability of rowing two 3's is half because if you get 1 3 outta 2 rolls that's the 50% chance but lets not for get the 1/6 chance of getting a 3 in the 1st place hope this helps

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One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers

Troyanec [42]

The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

Learn more about sum of two numbers here:

brainly.com/question/13854139

5 0

3 years ago

Solve for p.<br> p-3.1/6.7 = 4.5/5

inna [77]

Answer:

$5x - 15.5 = 6.7 \times 4.5 \\ 5x = 30.15 - 15.5 \\ 5x = 14.65 \\ 2 .93$

6 0

2 years ago

How to show how to find the answer to -3 +4 -1

Fittoniya [83]

Answer:it’s 0

Step-by-step explanation:

You do -3 plus 4 and then minus 1 which would be 0

5 0

3 years ago

In the given figure, O is the centre of the circle with chords AP and BP being

Ainat [17]

Answer:

It's 70°

Step-by-step explanation:

∠APB = ∠RPQ = 35°

Now, ∠AOB and ∠APB are angles subtended by an arc AB at centre and at the remaining part of the circle .

∴∠AOB = 2∠APB = 2 × 35° = 70°

5 0

3 years ago

Which equation is the Gizmo using to find the x coordinates

wlad13 [49]

Answer:

The correct answer is C. $(0,10)$ .

Step-by-step explanation:

The polar coordinates are defined in terms of r and θ, where r is the distance of the point from the origin and θ is the angle made with the positive x-axis.

To convert from Polar Coordinates (r, θ) to Cartesian Coordinates (x, y) apply the following conversion formulas:

$x = r\cos \theta \\y = r\sin \theta$

We know that $r=10$ and $\theta = 0.5\pi$

So, the cartesian coordinates are,

$x=10\cos \left(0.5\pi \right)=10\cos \left(\frac{1}{2}\pi \right)=10\cos \left(\frac{\pi }{2}\right)\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\quad \cos \left(\frac{\pi }{2}\right)=0\\\\x=10\cdot \:0\\x=10$

$y=10\sin \left(0.5\pi \right)=10\sin \left(\frac{1}{2}\pi \right)=10\sin \left(\frac{\pi }{2}\right)\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\quad \sin \left(\frac{\pi }{2}\right)=1\\\\y= 10$

The correct answer is C. $(0,10)$ .

7 0

4 years ago