Answer:
a) P(X≥143)=0
b) This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
Step-by-step explanation:
If we use the normal approximation to the binomial distribution we have the following parameters (mean and standard deviation):
Then, we can calculate the probability of X being equal or more than 143 using the z-score:
This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
Answer:
Step-by-step explanation:
Ok so T = 69
Answer: B) 46
<u>Step-by-step explanation:</u>
We are looking for the sum of terms 2 through 5. One option is to find each term and then add them up.
