A researcher calculates the expected value for the number of girls in three births. He gets a result of 1.5. He then rounds the result to 2, saying that it is not possible to get 1.5 girls when three babies are born. Is this reasoning correct? Explain.

Answers

Answer 1

Answer: yes his reasoning is correct because you can not cut a person in half. you can not be born with half of a body so you would have to round your result to the nearest whole number which in this case is 2 so he would technically be correct

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What are the vertex, focus, and directrix of the parabola with the given equation?12y = x^2 –6x + 45 (1 point)

Answers

Answer:

Vertex is (3,3)

Focus (3,6)

Directrix y=0

Step-by-step explanation:

We are given that an equation of parabola

$12y=x^2-6x+45$

Subtract 45 on bot sides then we get

$12y-45=x^2-6x$

To make complete square on right side

We add 9 on both sides

$12y-45+9=x^2-6y+9$

$12y-36=(x-3)^2$ ( $(a-b)^2=a^2+b^2-2ab,(x-3)^2=x^2-6x+9)$

$12(y-3)=(x-3)^2$

Compare it with the equation of parabola along y- axis

$(x-h)^2=4p(y-k)$

Then, we get h=3,k= $3$

$4p=12$

$p=(12)/(4)=3$

Vertex of parabola =(h,k)=(3,3)

Focus of parabola=(x,p+k)=(3,3+3)=(3,6)

Equation of directrix of parabola ,y=k-p=3-3=0

y=(((x^2)-(6*x)+45)/12)

If a company sells red, blue, and white tents at a ratio of 5:3:1 and they sell 1,350 tents in one month, how many of each color tent were sold?A. 125 red, 825 blue, 400 white
B. 475 red, 125 blue, 750 white
C. 750 red, 450 blue, 150 white
D. 480 red, 720 blue, 150 white

Answers

5x=number of red tents
3x=number of blue tents
x=number of white tens

we can suggest this equation:

5x+3x+x=1350
9x=1350
x=1350/9=150

number of red tents=5x=5(150)=750
number of blue tents=3x=3(150)=450
number of white tents=x=150

answer: C. 750 red, 450 blue, 150 white.

If you add four numbers together and then divide the sum by 4, you find the.

Answers

You find the Average.

A healthy human heart beats about 1,533,000 times in a year. A sparrow's heart beats about 241,776,000 times in a year. About how many times faster does the sparrow's heart beat compared to the human heart? Estimate using a single digit times a power of 10.

Answers

Answer:

2 * 10^2 times

Step-by-step explanation:

To get the number of times faster the Sparrow’s heart beat compared to the human heart, we divide the number of times the Sparrow’s heart beat compared to a human’s

That will be;

(241,776,000)/(1,533,000) = 157.7142857142857

Now, we want to use a single digit times a power of 10

That will be 1.577 * 10^2

Since it is a single digit, it will be 2 * 10^2

Final answer:

The sparrow's heart beats about 158 times faster compared to the human heart.

Explanation:

A healthy human heart beats about 1,533,000 times in a year, while a sparrow's heart beats about 241,776,000 times in a year.

To find the ratio, we divide the number of times the sparrow's heart beats by the number of times the human heart beats, which gives us:

Ratio = Sparrow's Heart Beats / Human Heart Beats

Ratio = 241,776,000 / 1,533,000

Ratio = 158

Therefore, the sparrow's heart beats about 158 times faster compared to the human heart.

Learn more about Heart rate here:

brainly.com/question/1155838

#SPJ12

3.) Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Check all that apply.The vertex form of the function is f(x) = (x – 2)2 + 2.
The vertex of the function is (–3, –13).
The axis of symmetry for the function is x = 3.
The graph increases over the interval (–3, infinity symbol).
The function does not cross the x-axis.

Answers

Find the vertex of the parabola given by the formula $f(x) = 6x - 4 + x^2$ :

$f(x) = 6x - 4 + x^2=x^2+2\cdot x\cdot 3-4=x^2+2\cdot x\cdot 3+3^2-3^2-4=(x+3)^2-9-4=(x+3)^2-13.$

1. As you can see this vertex form differ from the vertex form in option A, then A is incorrect.

2. When x=-3, f(-3)=-13 and the vertex has coordinates (-3,-13) - option B is true.

3. From the attached graph you can see that the axe of symmetry is line x=-3 that passes through the vertex. This means that choice C is incorrect.

4. From the attached graph you can see that the function is increasing for x>-3 and decreasing for x<-3. Option D is correct.

5. The graph intersects x-axis at two points (see attached diagram). Option E is incorrect.

It is clear from the information given that Both Options B and Option D are correct. While options A and C are incorrect.

What is the Graph of a Function?

The set of all points in the plane of the form (x, f(x)) is known as the graph of a function f(x).

In order words, it is the collection of all ordered pairs of the function. Examples of real-life applications of GraphFunctions are:

Recommendation Engines
Path Optimization Algorithms
Social Graphs
Knowledge Graphs
Scientific Computations

Learn more about the Graph of a Function at:

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Which angle is complementary to COD

Answers

Answer:

90° - COD

Step-by-step explanation:

Because if it's complementary, the mystery angle and COD add up to 90°

Answer:

My imaginary angle "in mah mind" is complimentary to COD, hence 90 degree since it's "COMPLIMENTARY"

Step-by-step explanation:

Hehehehe

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