It's already reduced it remains as 69/80 because the is no greater common factor between the two.
Answer:
x=5
Step-by-step explanation:
You can use the 30-60-90 rule or trigonometry to solve this.
<u>The 30-60-90 rules states...</u>
- the hypotenuse is 2x
- The long leg is
- the short leg is x
Ex: short leg is 7 which means the long leg is and the hypotenuse is 14
Therefore if the hypotenuse is 10 then x (short leg) should be 5
<u>Trigonometry also proves this...</u>
<u>Sine</u>
<u>Opposite</u>
<u>Hypotenuse</u>
Cosine
Adjacent
Hypotenuse
Tangent
Opposite
Adjacent
We will use SINE since we are trying to find the leg opposite to the 30 degree angle and the hypotenuse is already given (10)
(Use a calculator for this)
Answer:
(A) P (D > 0) = 99.38%
(B) P (D > 15) = 10.56%
Step-by-step explanation:
The random variable D = difference, is defined as the difference between the reading test scores after and before the program.
The random variable <em>D </em>follows a normal distribution with mean, and standard deviation, .
(A)
Compute the probability that the children showed any improvement, i.e.
P (D > 0):
Use the standard normal random variable to determine the probability.
The percentage of children showed any improvement is:
0.9938 × 100 = 99.38%
Thus, 99.38% of children showed improvement.
(B)
Compute the probability that the children improved by more than 15 points, i.e. P (D > 15):
Use the standard normal random variable to determine the probability.
The percentage of children improved by more than 15 points is:
0.1056 × 100 = 10.56%
Thus, 10.56% of children showed improvement by more than 15 points.