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3 years ago

5

Normal probability Density Function Use a graphing utility to graph the model probability density function with ð = 1 and µ = 2,

1, and 3
in the same viewing window.What effect does the mean µ have on the function?Explain your reasoning.

1 answer:

denpristay [2]3 years ago

7 0

Answer:

Step-by-step explanation:

Hello!

The population mean (μ) is a measure of central tendency, this means, it shows you the position of the distribution. Changing the value of the mean changes the position of the bell over the axis but there is no change in its shape. The three normal distribution have the same standard deviation (δ), so they will have the same shape and only their positions vary.

Graph attached.

I hope it helps!

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A certain university has 10 vehicles available for use by faculty and staff. four of these are vans and 6 are cars. on a particu

REY [17]

<span>There are 4 vans. So we have that probability that the first vehicle is a van p (e) = 4/10 = 0.4. P(e|f) = P( f and e) / p (f) p(e) = 0.4 and p(f) = 3/9 P (f and e) = 0.40 * 0.33 = 0.132 So p(e|f) = 0.4 * 0.33/ 0.33 = 0.4 P(f and e) p(f) * p(e) = 0.4 * 0.33 = 0.132</span>

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3 years ago

While going on a field trip, a busload od 54 students will have to be split up into three groups. Two thirds will go into lunch

Helen [10]

Number of students on the bus = 54

Students who will go to lunch first are = $\frac{2}{3}$ of 54

= $\frac{2}{3}\times54=36$

Hence, 36 students will go first for lunch.

7 0

3 years ago

The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

andrey2020 [161]

Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

$2=36a+6b$

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

$-15=-12a-6b$

$2=36a+6b$

Now adding the equations results in:

$-13=24a$

Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

$5=4a+2b$ with $a=\frac{-13}{24}$

$5=4\frac{-13}{24}+2b$

$5=\frac{-13}{6}+2b$

Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

$\frac{30+13}{6}=2b$

$\frac{43}{6}=2b$

Divide both sides by 2:

$\frac{43}{2(6)}=b$

$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

Let's evaluate $a+b+c$ now:

$\frac{-13}{24}+\frac{43}{12}+3$

$\frac{-13+86+72}{24}$

$\frac{73+72}{24}$

$\frac{145}{24}$

4 0

4 years ago

Enter a formula in cell B3 using the Vlookup function to find the meaning for thr medical abbrevation listed in cell A3. use the

NeX [460]

Formulas tab > in the Function Library group, click Lookup & Reference button, select VLOOKUP. Type A3 in the Lookup_value argument box. Type Abbreviation in the Table_array argument box. Type 2 in the Col_num argument box. Type False in the Rang_lookup box. Click OK, is this what you were looking for?

8 0

3 years ago

A batch of snack mix made of dried fruit and nuts contain 744G of nuts the ratio of nuts to dried fruit by weight is 12 to 13 ho

Bezzdna [24]

In a bag of snack mix:

n = nuts d = dried fruit

n = 744g d = ???g

Ratio Nuts/Dried fruit = 12/13

This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits

If 744 is 12 parts then 744/12 is 1 part

744/12 = 62

1 part = 62g

there are 13 parts of dried fruit

13 x 62 = 806

744g of nuts + 806g of dreid fruit = 1550g

Answer: A batch of snack mix weigh 1550g, or 1.55kg

hope it helps :)

6 0

3 years ago