Deposit = $1900
Amount After interest = $3875.79
% interest = 4%
Interest = 1975.79
Time For Interest Period
4/100 × 1900 × t = 1975.79
76 t = 1975.79
=26 years
Answer = 26years
Using the hypergeometric distribution, it is found that there is a 0.7568 = 75.68% probability that neither can wiggle his or her ears.
The people are chosen from the sample without replacement, which is why the <u>hypergeometric distribution</u> is used to solve this question.
Hypergeometric distribution:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- 1000 people means that

- 130 can wiggle their ears, thus

- Two are selected, thus
.
The probability that neither can wiggle his or her ears is P(X = 0), thus:


0.7568 = 75.68% probability that neither can wiggle his or her ears.
A similar problem is given at brainly.com/question/24826394
Answer:
3 pi.
Step-by-step explanation:
Answer:
$30.50
Step-by-step explanation:
b = bagels
c = cream cheese
<u>Given</u>
b = 30
c = 2
<u>Work:</u>
0.85b+2.5c
0.85(30) + 2.5(2)
25.5 + 5
30.5
Given:
The height of a golf ball is represented by the equation:

To find:
The maximum height of of Anna's golf ball.
Solution:
We have,

Differentiate with respect to x.


For critical values,
.




Differentiate y' with respect to x.


Since double derivative is negative, the function is maximum at
.
Substitute
in the given equation to get the maximum height.




Therefore, the maximum height of of Anna's golf ball is 6.25 units.