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3 years ago

What is the probability of flipping a coin and getting tails three times in a row

Mathematics

1 answer:

Artemon [7]3 years ago

7 0

If im not mistaken its a 1/8 probability

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Move two choices to the blanks to correctly complete the sentences.

Pavel [41]

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

$S = \{HH,HT,TH,TT\}$ -- Sample Space

$n(S) = 4$ --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{1}{4}$

Multiply this by the number of tosses

$P(HT) * n= \frac{1}{4} * 20$

$P(HT) * n= 5$

Solving (b); experimental probability of HT

Here, we make use of the table

$P(HT) = \frac{n(HT)}{n(S)}$

$P(HT) = \frac{6}{20}$

$P(HT) = 0.30$ ---- Experimental Probability

In (a), the theoretical probability is:

$P(HT) = \frac{1}{4}$

$P(HT) = 0.25$ ---- Experimental Probability

By comparison;

$0.30 > 0.25$

6 0

3 years ago

36. GEOMETRY Write an algebraic expression to

Stels [109]

Answer:

108 in²

Step-by-step explanation:

Area of a triangle is given as ½*base*height

The base of the given triangle = h + 6

height = h

Algebraic expression for its area = $\frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2}$

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

$\frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2}$

$= \frac{144 + 72}{2}$

$= \frac{216}{2} = 108 in^2$

6 0

3 years ago

How do I solve the equation 2x-5x+6.3=-14.4

Serga [27]

-3x+6.3=-14.4
-6.3=-6.3
-3x=-20.7
-3 -3
x=6.9

7 0

3 years ago

Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove

Galina-37 [17]

Answer: c

Step-by-step explanation:

3 0

3 years ago

You have two cats. Each cat has a litter of K kittens. Write an expression that describes a total number of cats and kittens you

elena-14-01-66 [18.8K]

2xk=24
K=12
Hope that makes sense

3 0

3 years ago