Please follow me on twitch: tiger1961

A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, w

blsea [12.9K]

Answer:

The sample space would be infinite

{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}

1/8

Step-by-step explanation:

The sample space would be infinite

{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}.

This is because the number of times the coin would be flipped is not specified. So, you can keep flipping the coin forever.

If the coin is tossed four times then the sample space would be

{HHHH HTHH THHH HTHT

HHHT HTTH TTHH THTH

HHTT HHTH TTTH THHT

HTTT TTTT TTHT THTT}

HTHH and TTHH are the only two cases where two consecutive tosses will result in two heads

Probability that the coin will be tossed four times is 2/16 = 1/8

6 0

3 years ago

Joaquin has a grade of 81 and 70 on her first two algebra test if she wants an average of 73 what possible score can she get on

Anvisha [2.4K]

81 + 70 + x = 3(73)
first multiply 3(73)

81 + 70 + x = 219
combine like terms

151 + x = 219
subtract 151 from both sides

x = 68

Joaquin needs to score a 68 on her next test to maintain an average of 73.

4 0

2 years ago

1. Caroline drove 350 miles to the beach. The

Svetlanka [38]

Answer:

about 6 miles per hour

Step-by-step explanation:

divide 350 by 57 to get your answer ;)

7 0

2 years ago

Read 2 more answers

119. Beatrice decides to deposit $100 per month at the end of every month in a bank with an annual interest rate of 5.5% compoun

sveta [45]

Answer:

Beatrice will accumulate $1230.72 at the end of the year.

Step-by-step explanation:

We can write:

$(1+\frac{0.055}{12})=z$

$100=C$ for deposits

The first month would have only the deposit reflected in her balance, then, expanding some steps of the calculation would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

A geometric series is given by:

$1+x+...+x^{m}=\frac{x^{m+1}-1}{x-1}$

Translating our series to the short form:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

plugin in the values for the 12 month gives:

$S_{12}=100(\frac{(1+\frac{0.055}{12})^{12} -1}{\frac{0.055}{12}})=1230.7169$

3 0

3 years ago

Lara needs to split 4 square yards of fabric into 7 equal sections. Three of these expressions give the amount of fabric each se

Serggg [28]

Answer:

See below.

Step-by-step explanation:

To find the amount in each section, divide the number of yards by the number of sections.

4/7 is the 4/7 yards per 1 section.

4/7 = 0.57 yards per 1 section.

etc.

Choose the option which DOES not represent these values.

5 0

3 years ago

Read 2 more answers