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Afina-wow [57]
3 years ago
13

A fair coin is tossed three times. What is the probability of getting at least two heads?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0
The answer is 50%

if you list out the possibilities, you get

(H being heads, T being tails)

HHH <- 3 heads
HHT <- 2 heads
HTH <- 2 heads
HTT
THH <- 2 heads
THT
TTH
TTT

we counted 4 of them to have at least 2 heads out of the 8 possibilities

4/8 = 1/2 which is 50%
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Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex
andrezito [222]

Answer:

g(x) = (x -3 )^2 + 2

Step-by-step explanation:

f(x) = (x + 2)^2 + 2

We want to shift this 5 units to the right

The parabola is written in the form

y = a(x-h) ^2 +k  where (h,k) is the vertex

The vertex is at ( -2, 2)

We want to shift it 5 units to the right

-2+5 = 3

g(x) = (x -3 )^2 + 2

7 0
3 years ago
25 Points ! Write a paragraph proof.<br> Given: ∠T and ∠V are right angles.<br> Prove: ∆TUW ∆VWU
vladimir2022 [97]

Answer:

Δ TUW ≅ ΔVWU ⇒ by AAS case

Step-by-step explanation:

* Lets revise the cases of congruent for triangles

- SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  

 including angle in the 2nd Δ  

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  

 ≅ 2 angles and the side whose joining them in the 2nd Δ  

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

 and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

 leg of the 2nd right angle Δ

* Lets solve the problem

- There are two triangles TUW and VWU

- ∠T and ∠V are right angles

- LINE TW is parallel to line VU

∵ TW // VU and UW is a transversal

∴ m∠VUW = m∠TWU ⇒ alternate angles (Z shape)

- Now we have in the two triangles two pairs of angle equal each

 other and one common side, so we can use the case AAS

- In Δ TUW and ΔVWU

∵ m∠T = m∠V ⇒ given (right angles)

∵ m∠TWU = m∠VUW ⇒ proved

∵ UW = WU ⇒ (common side in the 2 Δ)

∴ Δ TUW ≅ ΔVWU ⇒ by AAS case

7 0
3 years ago
Read 2 more answers
What is the degree of the polynomial?
noname [10]
2 because it's the highest exponent in the expression
8 0
3 years ago
(GIVING BRAINLIEST!! Pls help answer the problem and not just the equation!)
Damm [24]

Answer:

1/8

1/2 divided by 4 = 1/8

Step-by-step explanation:

3 0
2 years ago
Write an inequality for the given statement: The sum of x and 25 is less than 75.
Kaylis [27]
That statement would be best express by " x + 25 < 75 ". Since the statement says the sum of x and 25, thus, it will be x + 25. Then it also states that the sum is less than 75, so the best expression would be " < 75".
4 0
3 years ago
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