4224 Inches3................................
Answer:
b) 36
Step-by-step explanation:
ratio of angles = 3:5:7
The angles are 3x, 5x , 7x
Sum of all the three angles of triangle = 180
3x + 5x + 7x = 180
15x = 180
x = 180/15
x = 12
Measure of smallest angle = 3x = 3*12 = 36
Answer: a. (x-6) + 5x = 90 b. Angle One = 10° Angle Two = 80°
Step-by-step explanation:
A. Since angle 1 plus angle 2 is a right angle, then their sum is 90 degrees. The equation form angle 1 is x-6 and the equation for angle 2 is 5x, so (x-6) + 5x = 90
B. To find x,
x - 6 + 5x = 90
x + 5x = 96
6x = 96
x = 16
So, angle one = (16) - 6 = 10° and angle two = 16 * 5 = 80°
Part a)
It was given that 3% of patients gained weight as a side effect.
This means


The mean is


The standard deviation is



We want to find the probability that exactly 24 patients will gain weight as side effect.
P(X=24)
We apply the Continuity Correction Factor(CCF)
P(24-0.5<X<24+0.5)=P(23.5<X<24.5)
We convert to z-scores.

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.
P(X≤24)
We apply the continuity correction factor to get;
P(X<24+0.5)=P(X<24.5)
We convert to z-scores to get:

Part c)
We want to find the probability that
11 or more patients will gain weight as a side effect.
P(X≥11)
Apply correction factor to get:
P(X>11-0.5)=P(X>10.5)
We convert to z-scores:


Part d)
We want to find the probability that:
between 24 and 28, inclusive, will gain weight as a side effect.
P(24≤X≤28)=
P(23.5≤X≤28.5)
Convert to z-scores:

The probability is 0.337.
The probability that more than 3 prefer brand c is the same as finding the probability that 4 or 5 prefer brand c. Using a binomial distribution,