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tatiyna
3 years ago
15

As captain of his football team, Jamal gets to call heads or tails for the toss of a fair coin at the beginning of each game. At

the last five games, the coin has landed with heads up. What is the probability that the coin will land with tails up at the next game? Explain your answer
Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer: the probability is 0.5

Step-by-step explanation:

A fair coin has the same probability for each result, so the probability of landing in tails is the same that landing in heads (0.5 for each of them)

Now, each flip of the coin is an independent event.

This means that the previous flips do not affect the next flip, so the fact that the previous 5 flips landed in heads has no impact in the probability of future flips.

Then the probability that in the next flip, the coin will land in tails up is 0.5

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The bank agrees to give you a loan of
dusya [7]
<h3>Answer: Monthly Payment = $12,083.34</h3>

========================================================

Explanation:

i = P*r*t ... simple interest formula

i = (1,500,000)*(0.03)*(15)

i = 675,000

The amount of interest you need to pay is $675,000

The total amount to pay back is 1,500,000+675,000 = 2,175,000 dollars.

Divide this over 180 months (since 15 years = 15*12 = 180 months) to get

(2,175,000)/180 = 12,083.3333333333

This rounds up to the nearest cent to get 12,083.34

I rounded up to make sure to clear the hurdle. Note how

180*(12,083.33) = 2,174,999.4

which is a bit short of the 2,175,000 mark we're after

6 0
3 years ago
To gather information on customer satisfaction, a researcher randomly selects four store locations and interviews all the custom
Schach [20]

Answer:

This sampling technique is called cluster

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

The population is divided into groups(by stores), and all elements of the groups(all customers at the stores are sampled), which is the characteristic of a cluster sampling.

6 0
3 years ago
Solve the equation: c + 4c = -90
Liono4ka [1.6K]

Answer:

c= -18

Step-by-step explanation:

c+4c= -90

combine like terms

5c= -90

Divide by 5 on both sides

c= -18

6 0
3 years ago
Read 2 more answers
A rectangular field has the area equal to that of a square field of side 60m.if the breadth of the rectangular field is 32m, fin
V125BC [204]

<u>Given</u> -

  • Area of rectangular field = Area of square field
  • side of square = 60m
  • breadth of the rectangular field = 32m

<u>To find</u> -

  • length of the rectangular field

<u>Solution</u> -

Area of square = side × side = (60 × 60)m² =

Area of square =3600m²

Hence,

Area of rectangular field = Area of square field = 3600m²

Area of rectangular field = l × b = 3600m²

=> l × 32m = 3600m²

=> l = \sf{\frac{3600}{32}\:m}

=> l = 112.5m

so, the length = 112.5m

5 0
3 years ago
Lina spent 1/3 of her money. She now has $20 left. How much money did she have originally
PSYCHO15rus [73]

Answer:

60

Step-by-step explanation:

1/3 of 60 is 20

in other words

20 x 3 = 60

8 0
3 years ago
Read 2 more answers
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