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Alinara [238K]
2 years ago
10

Flip a coin 5 times. What is the probability that heads never occurs twice in a row?

Mathematics
1 answer:
N76 [4]2 years ago
6 0

Answer:

\frac{15}{32}

Step-by-step explanation:

Given that a coin is flipped 5 times. Let us assume it is a fair coin with probability for head or tail equally likely and hence 0.50

Sample space would have 2^5 = 32 possibilities

For two heads never occurring in a row favourable outcomes are

HTTTT,HTTHT,HTTTH,  HTHTH,  HTHTT, THTHT, THTTT, THTTH, TTHTH, TTHTT, TTTHT, TTTTH, TTTTT, TTTTH

Hence probability =

Favorable outcomes/Total outcomes=

\frac{15}{32}

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Find the length of a rectangle if its
Alina [70]

Answer: L = 29cm

Step-by-step explanation:

Let's go!!

To find any rectangle area, you have to apply this formula: A = L . w , where L is the length and w is the width.

So, we have w = L - 13 (the width is 13 less than the Length) and then, perimeter is 90 cm.

Well, I hope you remember that the perimeter of rectangle is 2L + 2W. In this case, 2L + 2w = 90

Then, you might to solve this system of equation:

2L + 2w = 90

w = L - 13

Simplifying the first equation, you'll have L + w = 45 (you can divide everything of 2).

Our new system:

L + w = 45

w = L - 13

Using the substituition method:

L + L - 13 = 45

2L = 58

L = 29 cm

the width is 29 - 13 = 16 cm

4 0
3 years ago
Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground
pshichka [43]

Answer:

149.8 feet

Step-by-step explanation:

θ = Angle of elevation = 33°

The length of string Jaden lets out = Hypotenuse = 275 feet.

How high above the ground that the kite is flying = Opposite Side.

We are solving this question using the Trigonometric function of Sine

Sin θ = Opposite Side/Hypotenuse

Sin 33 = Opposite/275 feet

Cross Multiply

Sin 33 × 275 feet = Opposite

Opposite side(Height ) = 149.77573463 feet

Approximately to the nearest tenth = 149.8 feet

8 0
2 years ago
1. A box of fruit has 12 plums and 15 bananas. The
sukhopar [10]

Answer:

12p x (15 x 25) I might not be correct :')

3 0
3 years ago
Read 2 more answers
How do you solve this problem?
Afina-wow [57]

Answer:

x=48

Step-by-step explanation:

x-3              15

------------ = ----------

6                      2

We can use cross products to solve this problem

(x-3) *2 = 6*15

Distribute

2x-6 = 90

Add 6 to each side

2x-6+6 = 90+6

2x=96

Divide by 2

2x/2 = 96/2

x = 48

3 0
3 years ago
How can we classify the following shapes ? Please choose correct answers that apply !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!
liq [111]

Answer:

D

Step-by-step explanation:

Cause a square has all equal sides

5 0
2 years ago
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