Answer: 0.1334
Step-by-step explanation:
Given
There are seven trails with a probability of success is 

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

Answer: 19 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.
Replacing with the values given:
tan40 = 16/x
Solving for x
x =16/tan40
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.
<h3>What are qualitative and quantitative variables?</h3>
- Qualitative variables: Assumes labels or ranks.
- Quantitative variables: Assume numerical values.
In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.
Hence, since the variable assumes labels and not numbers, it is classified as qualitative.
More can be learned about quantitative and qualitative variables at brainly.com/question/20598475
Answer:
1/2a-19=-13
Step-by-step explanation:
One half of a number represents the phrase "1/2a" (in this case the variable/number is 'a'". Then because it says "nineteen less than", that means you subtract 19 from one half of the variable.