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vesna_86 [32]
3 years ago
12

Given that there were 4 Heads in the first 7 tosses, find the probability that the 2nd Heads occurred at the 4th toss. Give a nu

merical answer.
Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

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4 0
3 years ago
The value pi/24 is a solution for the equation 4 cos^4 (4x)-3
MatroZZZ [7]

Answer:

False

Step-by-step explanation:

4 cos^4 (4x)-3 = 0

Substitute into the equation

4 cos^4 (4pi/24)-3 = 0

4 cos^4 (pi/6)-3 = 0

Take the cos pi/6

4 ( sqrt(3)/2) ^4 -3 =0

Take it to the 4th power

4 ( 9/16) -3 =0

9/4 -3 =0

9/4 - 12/4 = 0

-3/4 =0

False

8 0
3 years ago
2. Which of the following are terms of the series with nth term T-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566
pishuonlain [190]

Answer:

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

T_n=3n+17

Subtract 17 from both the sides.

T_n-17=3n

Divide both sides by 3.

\frac{T_n-17}{3}=n

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

n=\frac{80-17}{3}=21

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

n=\frac{170-17}{3}=51

Since n is a positive integer, therefore 170 is a term of given series.

(c) The given term is 217.

n=\frac{217-17}{3}=66.67

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

n=\frac{312-17}{3}=98.33

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

n=\frac{278-17}{3}=87

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

n=\frac{3566-17}{3}=1183

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

7 0
3 years ago
Which of the following ordered pairs is a solution of x + 1/2 y = 1?
ololo11 [35]
X+y/2=1
-2+6/2=1

-2 + 3 =1   true

⇒ ( -2, 6) is the solution
6 0
3 years ago
Determine if the given lines are parallel, perpendicular, or neither.
Leni [432]

Answer:

The lines are parallel.

Step-by-step explanation:

Given the lines

-2x-3y=9

4x+6y=24

Writing the equations in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

-2x-3y=9

y=-\frac{2}{3}x-3

Thus, the slope = m₁ = -2/3

also

4x+6y=24

  • y=-\frac{2}{3}x+4

Thus, the slope = m₂ = -2/3

  • We know that parallel lines have equal slopes

As

m₁ = m₂

Thus, the lines are parallel.

4 0
3 years ago
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