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coldgirl [10]
1 year ago
12

a coin is flipped eight times where each flip comes up either heads or tails. how many possible outcomes: 1). are there in total

? 2). contain exactly three heads? 3). contain at least three heads? 4). contain the same number of heads and tails?
Mathematics
1 answer:
Ymorist [56]1 year ago
6 0

There are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are: 2⁸ = 256

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination:

To get exactly 3 heads,

n=8 and r=3

(⁸C₃ ) = 8! / 3!(5!) = 56.

Therefore, there are 256 ways in total and 56 possible outcomes contain exactly three heads. The possible outcomes contain at least three heads is 219.

Read more about Probability here

brainly.com/question/24756209

#SPJ4

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A belt and a pair of pants cost $490 altogether. A bag costs twice as much
m_a_m_a [10]

Answer:

$196

Step-by-step explanation:

Lets assume,

cost of a belt = 'x'

cost of a pair of pants = 'y'

Now, According to the question;

  1. x + y = 490;
  2. cost of a bag = twice the cost of belt = 2x;
  3. cost of a pair of pants = twice the cost of bag

    ⇒ y = 2×2x ⇔ 4x

hence, by subtituting the values in equation' we get;

⇒ x + 4x = 490

⇒ 5x = 490

⇒ x = 98

So, the difference between the cost of the pair of pants and the bag ;

⇒ y - 2x

⇒ 4x - 2x

⇒ 2x = 2×98 = 196.

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Using the z table, find the critical value for a=0.024 in a left tailed test
natita [175]

Answer:

Critical value is -1.98.

Step-by-step explanation:

Given:

The value of alpha is, \alpha=0.024

Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.

The probability of critical value is given as:

P(critical)=1-\alpha=1-0.024=0.976

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