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ioda
3 years ago
11

A fair coin is a coin whose head and tail appears in an equal probability of 50% each. what is the probability of obtaining eith

er 5 heads or 6 heads in 10 tosses of a fair coin?
Mathematics
1 answer:
Sergio [31]3 years ago
7 0
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An experienced landscaper thought it would be funny to play a joke on some rookie landscapers. The rookies were given the measur
pashok25 [27]

Answer:

48∛9 ft²

Step-by-step explanation:

The length (L) and width (W) are given by:

L = 4\sqrt[3]{24}\\ W= 6\sqrt[3]{3}

Since this is a rectangular region, the area is given by:

A=L*W=L \\A=4\sqrt[3]{24}* 6\sqrt[3]{3}\\A=24\sqrt[3]{72}\ ft^2

The answer can be further simplified by factoring as follows:

A=24\sqrt[3]{72} = \\A=24\sqrt[3]{2*2*2*3*3}= 24\sqrt[3]{2^3*9}\\A=48\sqrt[3]{9}\ ft^2

The exact area is its simplest form is 48∛9 ft²

6 0
3 years ago
A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population
NikAS [45]

Answer:

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

8 0
2 years ago
5. Ana's age is twice the age of Lorna. If the sum of their ages is no more than 72, find the age of
ExtremeBDS [4]

Answer:

Ana:48

Lorna:24

Together they are a total of 72 yrs old

4 0
3 years ago
Read 2 more answers
1 + 1 + 23 + 77 +109 + 4568+ 32?
Bond [772]

Answer:

4811?

Step-by-step explanation:

sorry if incorrect

7 0
2 years ago
Read 2 more answers
Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 450 cubic centimeters of liquid. the length
schepotkina [342]
<span>So, the volume of a container can also be thought of as the amount of liquid that the container is capable of holding. It follows that 450=(length)(width)(height). The constraints of the problem say that the length of the box must be twice as large as the width, so it follows that j(height)=(2w)(w)(height)-450. This then implies that j(height)=(2w^2)(height)-450. In simpler terms, the height is defined as 450/(2w^2), or j(w)=450/(2w^2).</span>
5 0
3 years ago
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