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3 years ago

15

SALE

1 answer:

RUDIKE [14]3 years ago

5 0

Answer:

$15

Step-by-step explanation:

60x75%

60x0.75

45

60-45=15

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Find the expected value of the random variable. Round to the nearest cent unless stated otherwise. Suppose you buy 1 ticket for

QveST [7]

Answer:

Expected Value = - 0.5

Step-by-step explanation:

Expected Value [ E(X) ] = Σ {X. Probability (X)} = Σ [ (X).P(X) ]

Case 1 : Lottery Won

Probability = 1 / 1000

X Value = 500 - 1 = 499

Case 2 : Lottery Lost

Probability = 1 - Probability Winning = 999 / 1000

X Value = -1

Expected Value :

(1 / 1000) (499) + (999 / 1000) (-1)

0.499 - 0.999

= - 0.5

5 0

3 years ago

The next day, you charge $3.50 for each bracelet. You have a supply of 30 bracelets, and exactly 30 customers demand them. At th

Veronika [31]

The next day, you charge $3.50 for each bracelet. You have a supply of 30 bracelets, and exactly 30 customers demand them. At the end of the day, there is no excess demand or excess supply. So, $3.50 must be the <u>equilibrium price</u>

the correct answer is the bolded, underlined words. I hope this helps, have a great day, chao!!

5 0

3 years ago

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

Stella [2.4K]

A parabola is a mirror-symmetrical U-shape.

The equation of the parabola is $\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}$
The focus is $\mathbf{Focus = (80, -1760)}$
The directrix is $\mathbf{y = \frac{1}{640}}$
The axis of the symmetry of parabola is: $\mathbf{x = 80}$

From the question, we have:

$\mathbf{Vertex: (h,k) = (80,10)}$

$\mathbf{Origin: (x,y) = (0,0)}$

The equation of a parabola is:

$\mathbf{y = a(x - h)^2 + k}$

Substitute the values of origin and vertex in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{0 = a(0 - 80)^2 + 10}$

$\mathbf{0 = a(- 80)^2 + 10}$

$\mathbf{0 = 6400a + 10}$

Collect like terms

$\mathbf{6400a =- 10}$

Solve for a

$\mathbf{a =- \frac{1}{640}}$

Substitute the values of a and the vertex in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}$

The focus of a parabola is:

$\mathbf{Focus = (h, \frac{k+1}{4a})}$

Substitute the values of a and the vertex in $\mathbf{Focus = (h, \frac{k+1}{4a})}$

$\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}$

$\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}$

$\mathbf{Focus = (80, -11\times 160)}$

$\mathbf{Focus = (80, -1760)}$

The equation of the directrix is:

$\mathbf{y = -a}$

So, we have:

$\mathbf{y = \frac{1}{640}}$ ----- the directrix

The axis of symmetry is:

$\mathbf{x = -\frac{b}{2a}}$

We have:

$\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}$

Expand

$\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}$

Expand

$\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}$

$\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }$

A quadratic function is represented as:

$\mathbf{y = ax^2 + bx + c}$

So, we have:

$\mathbf{a = -\frac{1}{640}}$

$\mathbf{b = \frac{1}{4}}$

Recall that:

$\mathbf{x = -\frac{b}{2a}}$

So, we have:

$\mathbf{x = -\frac{1/4}{2 \times -1/640}}$

$\mathbf{x = \frac{1/4}{1/320}}$

This gives

$\mathbf{x = \frac{320}{4}}$

$\mathbf{x = 80}$

Hence, the axis of the symmetry of parabola is: $\mathbf{x = 80}$

Read more about parabola at:

brainly.com/question/21685473

6 0

3 years ago

What is the slope of the line y = -2?

Verdich [7]

Answer:

0

Step-by-step explanation:

There is no x, therefore there is no slope.

4 0

3 years ago

Quadrilateral ABCD is a a square and the length of BE is 6 cm.<br><br>What is the length of AC?

Aloiza [94]

The answer is: 12 centimeters.

The explanation is shown below:

1. By definition, all four sides of the square are equal and the diagonals are equal too.

2. Keeping the information above on mind, you know that AC and BD are equal:

$AC=BD$

3. Then, the length of BD is twice BE. So, you can calculate it as following:

$BD=2BE$

$BD=2(6cm)\\BD=12cm$

4. Therefore, the lenght of AC is:

$AC=12cm$

5 0

3 years ago