Answer: 100
5
Step-by-step explanation:
a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...
... 100 students will have grades above 70%.
b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.
... about 5 students will have grades above 84%.
Answer:
Tan C = 3/4
Step-by-step explanation:
Given-
∠ A = 90°, sin C = 3 / 5
<u>METHOD - I</u>
<u><em>Sin² C + Cos² C = 1</em></u>
Cos² C = 1 - Sin² C
Cos² C =
Cos² C =
Cos² C =
Cos C =
Cos C =
As we know that
Tan C =
<em>Tan C = </em>
<em>Tan C = </em>
<u>METHOD - II</u>
Given Sin C =
therefore,
AB ( Height ) = 3; BC ( Hypotenuse) = 5
<em>∵ ΔABC is Right triangle.</em>
<em>∴ By Pythagorean Theorem-</em>
<em>AB² + AC² = BC²</em>
<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>
<em>AC² = 5² - 3²</em>
<em>AC² = 25 - 9</em>
<em>AC² = 16</em>
<em>AC ( Base) = 4</em>
<em>Since, </em>
<em>Tan C = </em>
<em>Tan C = </em>
<em>Hence Tan C = </em>
<em />
Answer:
Given the expression:
1.
we know:
then;
Therefore, the value of expression is -16 i.e negative.
2.
we know:
then;
Therefore, the expression is 16 i.e Positive.
3.
we know:
then;
Therefore, the expression is 16 i.e Positive.
A) 2x + 10 equals 2x + 10
B) 7x + 3 does NOT equal 7x + 15
C) 4y - 8 doe NOT equal 4y - 2
D) 2y + 12 does NOT equal 2y - 12
Thus, A is the appropriate answer.
Hope that helped!