Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6
1 answer:
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Answer:
The quadratic function whose graph contains these points is
Step-by-step explanation:
We know that a quadratic function is a function of the form . The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.
We can solve these system of equations by substitution
- Substitute
- Isolate a for the first equation
- Substitute
into the second equation
- Find the value of b
- Find the value of a
The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is
As you can corroborate with the graph of this function.
Answer:
527.6 cubic inches
Step-by-step explanation:
The volume of a cylinder is represented by the formula , where r represents the radius of the base and h represents the height.
In this question, the diameter is given as 9 inches. Since the radius is half the diameter, the radius will be 4.5 inches.
Substituting in the values and solving, we get:
The Volume will be 527.6 cubic inches
You can extract two balls of the same colour in two different way: either you pick two black balls or two red balls. Let's write the probabilities of each pick in each case.
Case 1: two black balls
The probability of picking the first black ball is 2/5, because there are two black balls, and 5 balls in total in the urn.
The probability of picking the second black ball is 1/4, because there is one black ball remaining in the urn, and 4 balls in total (we just picked the other black one!)
So, the probability of picking two black balls is
Case 2: two red balls
The probability of picking the first black ball is 3/5, because there are three red balls, and 5 balls in total in the urn.
The probability of picking the second red ball is 2/4=1/2, because there are two red balls remaining in the urn, and 4 balls in total (we just picked the other red one!)
So, the probability of picking two red balls is
Finally, the probability of picking two balls of the same colour is