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Juli2301 [7.4K]
3 years ago
9

5. What is closest to the volume of the sphere?

Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

The correct answer is D)

Step-by-step explanation:

To find the volume of a sphere, you need to use the formula \frac{4}{3}\pi r^3. Since the radius of the sphere is 7.5 inches, you can use that to solve the volume. \frac{4}{3}\pi *7.5^3 = \frac{4}{3}\pi *421.875 = 562.5*\pi ≈ 1767.15in^3, which is closest to 1767.21in^3, so that is the correct answer.

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The sum of 3 consecutive odd numbers is 183 ?
irina [24]

Answer:

The answer is 61.

Step-by-step explanation:

Let, the numbers are: x, (x+2), (x+4)

Now, x+x+2+x+4 = 183

3x + 6 = 183

3x = 177

x = 59

So, second number would be: (x+2) = (59+2) = 61

6 0
3 years ago
Read 2 more answers
Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan
inn [45]

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

In the first point let z be the number of heads which is available on the first two trails of tosses so, the equation is:

P(X=k | z=2 ) = \begin{pmatrix} 10-2\\ k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k}

                         = \begin{pmatrix} 8\\k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k} \ \ \ \ \ \ \ \ \  \ \\\\

                                                                                                       k= 2,3..........10For option B:

P(X=k | X \geq 2 ) =  \sum^{10}_{i=2}  \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}

                                                                                                k= 2,3, 4.........10

8 0
3 years ago
I need help with this math
Tems11 [23]

15/15 or 1 is your answer.


8 0
3 years ago
Read 2 more answers
5x-4y=-18 what is the three point on a graph for this equation
Tju [1.3M]
(1)Draw the "y" line . It goes up and down. 
<span>Make sure to mark the centimeters or quarter inches with little nobs. </span>
<span>Start at -20 and go to 10 </span>
<span>(2)Draw the "x" line. it goes side to side. </span>
<span>place the x line at the zero point of the y line. I'm sure you will see your paper looks like the letter "t". Perfectly at a right angle. you could use the corner of a book to square it. </span>

<span>Now for the maths 5x - 4y = -18. The most important symbol here is the "=" sign. </span>
<span>(3) rearrange the equation so that y is on one side of "=" and x is on the other side. </span>
<span>Remember if you add 10 to one side the of "=" , then for it to be equal, add 10 to the other. side also </span>
<span>so add 4y to both sides. add 18 to both sides . divide the whole of each side by 4. </span>
<span>5x - 4y + 4y + 18 = -18 + 4y + 18 </span>
<span>1.25x + 4.5 = y </span>
<span>(4) now write down on a peace of scrap paper, x=1, y= 5.75, x=2 y= ___ , x=3 y= ___ </span>
<span>(5) remember BEDMAS, and put 1 in the place of x and calculate what y is . </span>
<span>(6) get your ruler , line up x = 1 (ruler is going up and down) and draw a spot on what y = . Get two rulers if you must. </span>
<span>(7) </span>
<span>hey presto, you got your three points on a graph.</span>
5 0
3 years ago
Use point-slope form to write the equation of a line that passes through the point
Ymorist [56]

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

5 0
2 years ago
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