Answer: the above stated equation is a quadratic equation
Step-by-step explanation:
Given the following equations
y = x^2 + 5x - 3....equation 1
y-x = 2
y = x + 2........equation 2
Let equation 1 equal equation 2
x^2 + 5x -3 = x + 2
Bringing the equation to one side and equating to zero
X^2 +5x - 3 -x -2 = 0
X2 + 5x -x -3 -2 = 0
X^2 + 4x -5
Solving the aquatic equation
(x + 5)(x -1) = 0
X + 5 = 0
X1 = -5
X- 1 = 0
X2 = 1
To prove:
Substitute the values for x1and x2 into the equation x^2 + 4x - 5 = 0
Answer:
6 3/4 ounces
Step-by-step explanation:
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:
the chance that the population mean will either be less than $1,500 or above $2,100 is 10%
Step-by-step explanation:
We are 90% confident that the true population mean willl be between $1,500 and $2,100
This means that there is a 90% probability that the true population mean will be between $1,500 and $2,100.
So 100-90 = 10% probability that it is outside of this interval, that is, either be less than $1,500 or above $2,100.
So the correct answer is:
the chance that the population mean will either be less than $1,500 or above $2,100 is 10%