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Ivenika [448]
3 years ago
7

Assume that you select two 3-digit numbers at random from the set of consecutive integers from 000 through 999. The selections a

re made with replacement and are independent of one another. If the two numbers are the same, you make $700. If they are different, you lose $2. A random variable XX is defined as your gain or loss.
How many different values are possible for the random variable XX
Mathematics
2 answers:
MrRa [10]3 years ago
6 0

Answer:

the answer is: 2

Step-by-step explanation:

from 000 to 999 makes a total of 1000 numbers from which we are selecting two numbers with replacement. This means that the possible combinations will be double of 1000.

1000 * 1000 = 1000000

to have the same number twice means that the possible combinations will be only 1000. (As there are only 1000 numbers).

But whether they are same or not there will be only two possible values of XX , 2 dollars or 700 dollars which will be the loss or gain for one trial, as the numbers picked will either be same or different.

bulgar [2K]3 years ago
5 0
I could be wrong but i think it is 1998
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a

Step-by-step explanation:

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At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are fi
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The two answers are the one selected and the choice |x-5| ≤ 1. The steps to solve the other equation are:
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7 0
3 years ago
What are the solutions of the quadratic equation? 4x^2+9x-9=0
vagabundo [1.1K]

Answer:

x=3/4

x=-3

Step-by-step explanation:

we have

4x^2+9x-9=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

4x^2+9x-9=0

so

a=4\\b=9\\c=-9

substitute in the formula

x=\frac{-9(+/-)\sqrt{9^{2}-4(4)(-9)}} {2(4)}

x=\frac{-9(+/-)\sqrt{225}} {8}

x=\frac{-9(+/-)15} {8}

x=\frac{-9+15} {8}=3/4

x=\frac{-9-15} {8}=-3

5 0
3 years ago
Read 2 more answers
An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answ
jenyasd209 [6]
 The volume of the cone is 20.95in³
5 0
3 years ago
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Find the equation of line b described below, in slope-intercept form
Serjik [45]

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

m=\dfrac{y_2-y_1}{x_2-x_1}

m_a=\dfrac{-12-(-8)}{9-1}

m_a=\dfrac{-12+8}{8}

m_a=\dfrac{-4}{8}

m_a=-\dfrac{1}{2}

Product of slopes of two perpendicular lines is -1.

m_a\times a_b=-1

-\dfrac{1}{2}\times a_b=-1

b=2

Slope of line b is 2.

If a line passing through a point (x_1,y_1) with slope m, then equation of line is

y-y_1=m(x-x_1)

Line b passing through (-8,-16) with slope 2. So, equation of line b is

y-(-16)=2(x-(-8))

y+16=2(x+8)

y+16=2x+16

Subtract 16  from both sides.

y=2x

Therefore, the equation of line b is y=2x.

7 0
3 years ago
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