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Lesechka [4]
3 years ago
8

We will flip a balanced coin 3 times and for each toss, record whether we get a Head or a Tail. Write all possible outcomes of t

his experiment to find the probability that we get exactly 1 tail.
a. 2/3
b. 1/8
c. 1/3
d. 3/8
Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

Answer: A- 2/3

Step-by-step explanation:

Possible outcomes when a coin is tossed 3 times is 1/2 + 1/2+ 1/2= 3/2

Probability of getting exactly one tail=

3/2x=1

x=1÷3/2

=1 ×2/3

=2/3

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alex wong basketball after making a half court shot. the display box for his new basketball is in the shape of a cube. alex meas
suter [353]

408.454 cubic inches of air is surrounding the ball in the box

Step-by-step explanation:

When a sphere is inscribed in a cube and touching all of its faces, then

  • The diameter of the sphere = the side of the cube
  • The empty volume of the cube is the difference between the volume of the cube and the volume of the sphere

∵ The basketball is shaped a sphere

∵ The box is shaped a cube

∵ The ball touching every wall of the box

∴ The diameter of the ball = the side of the box

∵ The length of one side of the cube = 9.5 inches

∴ The diameter of the ball = 9.5 inches

∵ The diameter of the ball = 2 r, where r is the radius of the ball

∴ 9.5 = 2 r

- Divide both sides by 2

∴ r = 4.75 inches

∵ The volume of the air that surrounded the ball in the box =

   volume of the box - volume of the ball

∵ Volume box (cube) = s³

∵ s = 9.5 inches

∴ Volume of the box = (9.5)³

∴ Volume of the box = 857.375 inches³

∵ Volume the ball (sphere) =  \frac{4}{3} π r³

∵ r = 4.75

∴ Volume the ball = \frac{4}{3} (π)(4.75)³

∴ Volume the ball = 448.921 inches³

Substitute the values of the volumes of the box and the ball in the rule above

∴ The volume of the air = 857.375 - 448.921

∴ The volume of the air = 408.454 inches³

408.454 cubic inches of air is surrounding the ball in the box

Learn more:

You can learn more about volume of solids in brainly.com/question/12497249

#LearnwithBrainly

6 0
3 years ago
Hey! please help posted picture of question
timama [110]
Since the graph is a straight line, it is a linear function. For a non - linear function the graph is a curved one.

Every function is also a relation as it can be expressed as a set of ordered pairs. But the opposite of this is not true. Not every relation is a function. To test if a relation is a function we use the vertical line test. A vertical line crosses a function only once at a given value of x.

Therefore, the answer to the given question is option D. Linear Function and a Relation
6 0
3 years ago
Five friends picked 7 pounds of apples . how much will each student recieve if they share them equally
Arte-miy333 [17]
All of them would get 7/5 or 1 and 2/5 pounds of the apples. :)
5 0
3 years ago
100 x =7,285 and I didn’t learn this in school
Kamila [148]

Answer: x=72.85

Step-by-step explanation:72.85x100=7285

4 0
3 years ago
If f(x) = (x – 2], then find<br> f(-3).
Mazyrski [523]

Replace x for -3.

f(-3) = -3-2

f(-3) = <u>-5</u>

7 0
3 years ago
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