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2 years ago

6

Steven is starting a baseball hat printing business and plans on selling each hat for $20 with his cost being $8 per hat. The eq

uipment will cost $800. Steven orders 500 hats and determines that the profit for his new business is modeled by the function P = 12x - 800. What is the domain of this function in this situation?

1 answer:

ycow [4]2 years ago

7 0

0 ≤ x ≤ 500 hope this helps

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For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with l

murzikaleks [220]

Answer:

The answer is "0.68".

Step-by-step explanation:

Given value:

$X_i \sim \frac{G_1}{2}$

$E(X_i)=2 \\$

$Var (X_i)= \frac{1- \frac{1}{2}}{(\frac{1}{2})^2}\\$

$= \frac{ \frac{2-1}{2}}{\frac{1}{4}}\\\\= \frac{ \frac{1}{2}}{\frac{1}{4}}\\\\= \frac{1}{2} \times \frac{4}{1}\\\\= \frac{4}{2}\\\\=2$

Now we calculate the $\bar X \sim N(2, \sqrt{\frac{2}{n}})\\$

$\to \frac{\bar X - 2}{\sqrt{\frac{2}{n}}} \sim N(0, 1)\\$

$\to \sum^n_{i=1} \frac{X_i - 2}{n} \times\sqrt{\frac{n}{2}}} \sim N(0, 1)\\\\\to \sum^n_{i=1} \frac{X_i - 2}{\sqrt{2n}} \sim N(0, 1)\\$

$\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\$

$\to P(-1 \leq X_n \leq 2) = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\$

$= 0.92 -0.24\\\\= 0.68$

6 0

2 years ago

The coordinates for three points of a rectangle are (2, 6) (2, 9) and (8, 6). What is the coordinate for the fourth point in the

saw5 [17]

Answer:

(8,9)

Step-by-step explanation:

Given

$A = (2,6)$

$B = (2,9)$

$C = (8,6)$

Required

Determine the 4th point

The coordinate point of a horizontal or a vertical rectangle is given as:

(x1,y1), (x2,y2), (x3,y3), (x4,y4)

Where:

$x_1 = x_2$ $x_3 = x_4$ $y_1 = y_3$ $y_2 = y_4$

So, we have:

$A = (2,6)$ --- $(x_1.y_1)$

$B = (2,9)$ ---- $(x_2.y_2)$

$C = (8,6)$ ---- $(x_3,y_3)$

Using the above equations:

$x_3 = x_4$ $=8$

$y_2 = y_4$ $= 9$

Hence, the coordinate of the 4th point is:

$(x_4,y_4) = (8,9)$

4 0

3 years ago

The price of an item has risen to $ 299 today. Yesterday it was $130.

hoa [83]

Answer:

It has risen by $169

Step-by-step explanation:

299

130

----------

169

7 0

2 years ago

1. (1 pt) Which is a solution to the equation y=3x+1 ?A. (3, 10) B. (2, 6) C. (1, 5) D. (0, 3)

frozen [14]

Answer:

the easy way to figure this out is to just plug in answers.

start with a, (10)=3(3)+1

10=9+1

10=10

this makes this a true statement

feel free to try the other options but this is your answer

A. (3,10)

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2 years ago

Graph a line that contains the point -6,1 and has a slope of 5

Stells [14]

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

1=-30+b

31=b

y=5x+31

(5*-6)+31

-30+31

1

you can also graph a line on desmos

7 0

3 years ago

Read 2 more answers