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Dmitriy789 [7]
3 years ago
14

A coin is tossed 20 times. It lands on heads 9 times. What is the P(H) according to your experiment? Write your answer as a frac

tion, decimal, and percent.
Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

\frac{9}{20}=0.45=45%

Step-by-step explanation:

Probability is found by first forming a fraction where the numerator represents the number of desired outcomes and the denominator represents the total number of outcomes.  In this case, the desired outcomes is the amount of times the coin lands on heads (9) and the total outcomes is the number of times the coin is tossed (20):

\frac{9}{20}

Divide numerator by denominator to get a decimal: 9÷20= 0.45

Multiply the decimal by 100 to get a percent: 0.45 x 100 = 45%

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Answer:

  • Mistake in step1

Step-by-step explanation:

<u>Given</u>

  • z + (-0.72) = -2.5

<u>Solving in steps</u>

  • 1. ⇒ z + (-0.72) - (-0.72) = -2.5 - (-0.72)
  • 2. ⇒ z = - (2.5 - 0.72)
  • 3. ⇒ z = - 1.78

The student's mistake was adding (-0.72) instead of - (-0.72) or 0.72

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divide 64.4 and 8

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64.4÷8=8.05

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Mr. Johnson lost 15 pounds over the summer by jogging each week. By
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Let y = y1(t) be a solution of y' + p(t)y = 0 (1)
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Answer:

a) See proof below

b)The result does not violate uniqueness of solutions.

Step-by-step explanation:

a)

Suppose y_1(t) is a solution of  

y'+p(t)y=0

then

y'_1+p(t)y_1=0

If y_2(t) is a solution of  

y'+p(t)y=g(t)

then

y'_2+p(t)y_2=g(t)

To show that y_1+y_2 is a solution of equation (2) we have to show  that

(y_1+y_2)'+p(t)(y_1+y_2)=g(t)

But

(y_1+y_2)'+p(t)(y_1+y_2)=(y'_1+y'_2)+(p(t)y_1+p(t)y_2)=(y'_1+p(t)y_1)+(y'_2+p(t)y_2)=0+g(t)=g(t)

which is what we wanted to show.

b)

The results of the above problem does not violate uniqueness of solutions, because the solution is unique for each specific given initial condition, but there are no initial conditions stated.

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