Please help!!!!! Find the value of the variables
1 answer:
Answer:
x = 24
y = 8√3
Step-by-step explanation:
This is a special right triangle with angle measures 30° 60° 90°
The side length that sees 90° is represented by 2a, the side length that sees angle 60° is represented by a√3 , and the side length that sees angle 30° is represented by a
16√3 ÷ 2 = 8√3 this is the value of y
8√3 × √3 = 24 this is the value of x
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Answer:
$5,909.97
Step-by-step explanation:
We will use the compound interest formula for this problem as shown below:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
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First, change 3.6% into a decimal:
3.6% -> -> 0.036
Now plug in the values:
After 2 years, the balance would be $5,909.97
Answer:
3.33% probability that both pens are defective.
Step-by-step explanation:
The pens are chosen without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
2 defective, so x = 2.
25 pens, so N = 25.
Two pens will be selected, so n = 2.
5 are defective, so k = 5.
3.33% probability that both pens are defective.