Answer:
The numbers of boys in one grade are 60 .
Step-by-step explanation:
As given
In one grade of 150 students .
The ratio of boys to girls is 2:3.
Let us assume that the scalar multiple of boys and girls be x.
Thus number of boys = 2x
Number of girls = 3x
Than the equations becomes
2x + 3x = 150
5x = 150

x = 30
Thus number of boys = 2 × 30
= 60
Therefore the numbers of boys in one grade are 60 .
............................
Answer:
0.4060
Step-by-step explanation:
To calculate the sample proportion, phat, we take the ratio of the number of preferred outcome to the total number of trials ;
Phat = number of times coin lands on head (preferred outcome), x / total number of trials (total coin flips), n
x = 406
n = 1000
Phat = x / n = 406/ 1000 = 0.4060
Answer: D) 0.392
Step-by-step explanation:
0.300
0.090
0.002
__________
0.392
Using relations in a right triangle, it is found that:
tan(A) = 3/4 = 0.75.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this triangle:
- The adjacent side to A has length 40.
- The opposite side to A has length 30.
Hence the tangent of A is:
tan(A) = 30/40 = 3/4 = 0.75.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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