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Gwar [14]
2 years ago
9

What is the probability of picking a 3 or 4 or 10 from a deck of cards?

Mathematics
1 answer:
DedPeter [7]2 years ago
8 0

Answer:2/10 20%

Step-by-step explanation:

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Any help would be appreciated ❤ ❤ Thank you
Paladinen [302]
The solid shape is a cone and a half sphere. So the equation would be (cone volume) + (1/2 sphere volume):
cone =  \frac{1}{3} \pi {r}^{2} h \\ sphere =  \frac{4}{3} \pi {r}^{3}  \\ object = ( \frac{1}{3} \pi  {r}^{2} h) +  \frac{1}{2} ( \frac{4}{3} \pi  {r}^{3} )
If the volume of the cone is 270pi and the height of the cone is 10, then:
270\pi =  \frac{1}{3} \pi {r}^{2} (10) \\ 27 =  \frac{1}{3}  {r}^{2}  \\ 80 =  {r}^{2}  \\ r = 9
The radius of the object is 9 cm. Therefore, we can plug into the formula for the total volume:
object = 270\pi +  \frac{1}{2} ( \frac{4}{3} \pi {(9)}^{3} ) \\  = 270\pi +  \frac{2}{3} (729\pi) \\  = 270\pi \: + 243\pi \\  = 513\pi
The total volume is 513 pi cm^3
7 0
3 years ago
A parallelogram has an area of 84 square centimetres and a base of 4 centimetres. Write and solve an equation to find the length
aniked [119]

Answer:

21cm

Step-by-step explanation:

7 0
3 years ago
Suppose that F′(x)=f(x) and G′(x)=g(x). Which statements are true? A. If F and G differ by a constant, then f=g. B. If f and g d
Ksju [112]

Answer:  The correct option is

(A)  If F and G differ by a constant, then f = g.

Step-by-step explanation:  According to the given condition, we have

F'(x)=f(x)~~~\textup{and}~~~G'(x)=g(x).

We are to select the correct statement.

Let F(x) = p(x)  and  G(x) = p(x) + c, c - constant.

Then, we get

F'(x)=p'(x)~~~\textup{and}~~~G'(x)=p'(x).

Therefore,

F'(x)=G'(x)\\\\\Rightarrow f(x)=g(x)\\\\\Rightarrow f=g.

Thus, if F and G differ by a constant, then f = g.

Option (A) is CORRECT.

7 0
3 years ago
What is the value of the expression f(-3) + 2f(-1) - f (4)<br><br> PLEASE HELP NO LINKS
Bas_tet [7]

Answer:

22

Step-by-step explanation:

Find f(-3) :

f(x) = x² + 2x for x ≤ -3

That means for those values of x, less than or equal to -3, this is the function.

So, f(-3) = (-3)² + 2(-3) = 9 - 6 = 3

Now, f(-1) :

From the given data, we see it is: f(x) = 2 (\frac{1}{3} )^{2x}

We take this because -1 lies between -3 and 4.

Now, f(-1) = 2 (\frac{1}{3} )^{2(-1)}

 => f = (-1) = 2(3)^{2} = 2 (9) = 18

For f(4) :

Clearly, the function is: f (x) = \frac{2x - 5}{x-7}

f (4) = \frac{2(4)-5}{4-7} = \frac{3}{-3} = -1

Therefore, <u>f(-3) + f(-1) - f(4) = 3 + 18 - (-1) = 3 + 18 + 1 = 22.</u>

5 0
3 years ago
Can someone write the slope-intercept form of the graph below
abruzzese [7]

Answer:

y = -2x + 2 i think

Step-by-step explanation:

5 0
3 years ago
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