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Ne4ueva [31]
3 years ago
8

A locker requires a three-digit code to open the lock. The code must contain one letter and two numbers, and no letter or number

can be repeated. You can choose from among four letters, A, B, C, and D, and two numbers, 5 and 6.
The size of the sample space is .

If a code is chosen at random, the probability that it has a letter that immediately follows an odd number is .

If a code is chosen at random, the probability that D is in the code but is not in the first position is .
Mathematics
1 answer:
Bad White [126]3 years ago
6 0

not sure what the dots are supposed to mean..

but i think it's 6B5??

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Complete the solution of the equation. find the value of y when equals 2. -3x-8y=10
Afina-wow [57]
The value of y can be calculated by translating the equation such that we solve y in terms of x.

                            -3x - 8y = 10
 
                               -8y = 10 + 3x
 
                               y = (10 + 3x) / -8

Then, we substitute 2 to the x in the equation.

                             y = (10 + 3(2)) / - 8  = 16/-8

                                y = -2 

Thus, the value of y in the equation is -2. 
4 0
3 years ago
Evaluate the given integral by changing to polar coordinates. sin(x2 + y2) dA R , where R is the region in the first quadrant be
koban [17]

Set

\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dA=r\,\mathrm dr\,\mathrm d\theta

The region R is given in polar coordinates by the set

R=\left\{(r,\theta)\mid2\le r\le3,0\le\theta\le\dfrac\pi2\right\}

So we have

\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_2^3r\sin(r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac\pi4(\cos4-\cos9)}

8 0
3 years ago
The lengths of the sides of a triangle are 3, 3, and the square root 3. Can the triangle be a right triangle?
Readme [11.4K]
First find the decimal equivalent of square root 3: SQRT(3) = 1.732 ( roughly)
 
If the base and height were each 3, then the hypotenuse would need to be:

3^2 + 3^2 = C^2
9 + 9 = C^2
18 = C^2
C = SQRT(18) = 4.24

This is larger than sqrt(3), so this cannot be a right triangle.


If one leg was 3 and the other leg was sqrt(3) then the hypotenuse would be:
3^2 + 1.73^2 = C^2
9 + 3 = C^2
12 = C^2
C = SQRT(12) = 3.46

This is larger than 3, this cannot be a right triangle.

The answer is b) no.





8 0
3 years ago
Read 2 more answers
The town of Lantana needs $14,000 for a new playground Lantana elementary school raised 5358, Lantana Middle School raised $2,83
slavikrds [6]

Answer: The answer is actually 1,676. But you can estimate it to 2,000. so the town of Lantana would have about 2,000 dollasrs left to raise to reach there goal.

Step-by-step explanation:

You would first make sure you add all the number like 5,358+2,834+4,132. And once you get you answer you subtract 14,000 from the number you got!

I really hope that helps.

8 0
2 years ago
Read 2 more answers
What number is 45% of 245
galina1969 [7]
245 x 0.45 = 110.25

110.25 is your answer


hope this helps
8 0
3 years ago
Read 2 more answers
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