Answer: 45
Step-by-step explanation:
To calculate the probability of the number of times a 1 we appear , we have
number of times a 1 appeared / Total number of times the die is rolled.
Let x represent the number of times a 1 is gotten
And we have been given the probability of getting a 1 and also the total number of times the die is being rolled , substituting this inside the formula above , we have
0.3 = x / 150
x = 150 x 0.3
x = 45
The value of tan theta from the given. expression is 7/√51
<h3>Trigonometry identity</h3>
Trigonometry identity are expressions written in terms of sine, cosine and tangents.
Given the following trigonometry values as shown:
sin(theta)=0.7
Convert the decimal to fractions
sin(theta)= 7/10
According to SOH CAH TOA;
sin theta = opp/hyp
Determine the adjacent
adj = √hyp²-opp²
Substitute the values;
adj = √10²-7²
adj = √100-49
adj = √51
Determine the value of tan theta
tan(theta) = opp/adj
Substitute
tan(theta) = 7/√51
Hence the value of tan theta from the given. expression is 7/√51
Learn more on trig identity here: brainly.com/question/20094605
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Answer:
Step-by-step explanation:
The given data is 11, 77, 35, 5, 76, 34, 89, 92, 22
The total number of items in the data is 9. The width of each class interval would be gotten by dividing the difference between the minimum and maximum items in the data by the number of class intervals. From the information given,
Minimum item = 5
Maximum item = 92
Difference = 92 - 5 = 7
Class width = 87/10 = 8.7
By approximation, it is closest to 10
Therefore, the appropriate class group is 0 to 10
