What is the experimental probability that at least one of the coins landed on heads? Express the probability as a decimal.

Mathematics

2 answers:

DaniilM [7]3 years ago

7 0

Answer with explanation:

It is given that number cube that is having number from (1 to 6) is rolled hundred times.

From the table it can be seen that,

→2 = 18 times

→ 4= 11 times

→6 = 21 times

→P = Probability

$P(2)=\frac{18}{100}\\\\P(4)=\frac{11}{100}\\\\P(6)=\frac{21}{100}$

⇒ P(Even Number)

$=P(2) + P(4) +P(6)\\\\=\frac{18}{100}+\frac{11}{100}+\frac{21}{100}\\\\=\frac{50}{100}\\\\=\frac{1}{2}$

Required Probability in terms of Percentage

$=\frac{1}{2} \times 100\\\\=50$

= 50%

Option A

frosja888 [35]3 years ago

4 0

The answer is 50% because to find the probability of 3/6 which is the even numbers that add up to 50 so 3/6 is equal to 1/2 and 1/2 of 100 is 50

so your answer is 50%

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A support wire is attached to the top of a tower that is 65 feet tall as shown. If the wire makes an angle of 34 degree with the

Maru [420]

Answer:
length of wire = 116 ft

Explanation:
The attached image shows a diagram on the scenario given.

Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find

Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft

Hope this helps :)