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2 years ago

An American roulette wheel contains 38 slots. Eighteen of the slots are colored red and eighteen are

Mathematics

1 answer:

masha68 [24]2 years ago

7 0

Answer:

- $0.053

Step-by-step explanation:

Bet fee = $1

Probability of red = 18 / 38

Probability of black = 18/38

Probability of green = 2 / 38

x : ____1 _____ - 1 _____ - 1

P(x) : __ 18/38___ 18/38____ 2/38

Mean or expected value, E(X) = Σx*p(x) = (18/38) * * (-18/38) * (-2/38)

E(X) = - 0.052631

E(X) = - $0.053

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What is the slope of the line passes through the points (3,-2) and (9,-2)?

elena-14-01-66 [18.8K]

I recommend to read whatever the person above said

8 0

2 years ago

During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the

mars1129 [50]

Answer:

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

$T = 0.005x^2 + 0.45x + 125$

Suppose T = 141°F,

$\implies 141 = 0.005x^2 + 0.45x + 125$

$\implies 0.005x^2 + 0.45x + 125 - 141 =0$

$\implies 0.005x^2 + 0.45x - 16=0$

Since, a quadratic equation $ax^2 + bx + c =0$ has,

Real roots,

If Discriminant, $D = b^2 - 4ac \geq 0$

Imaginary roots,

If D < 0,

Since, $0.45^2 - 4\times 0.005\times -16 = 0.2025 + 32 > 0$

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

6 0

3 years ago

The equation P = 21 + 2w can be used to find the perimeter of a rectangle. A 1 point rectangular shaped playground is enclosed b

nalin [4]

Answer:

130 m

Step-by-step explanation:

<u>Given:</u>

P = 2l + 2w
P = 500 m

<u>Length is:</u>

l = 120 m

<u>Substitute values and solve for w:</u>

500 = 2*120 + 2w
2w = 500 - 240
2w = 260
w = 260/2
w = 130 m

5 0

3 years ago

Mrs. Magdalino kept records on how much she spent on gasoline and the maintenance of her car. She found that it cost $485 to dri

algol [13]

Answer:

C = 0.97m
$1164 for 1200 miles
845 miles for $820

Step-by-step explanation:

Given a car's cost of operation is $485 for 500 miles, you want an equation relating cost for m miles, and solutions to that equation for 1200 miles, and for a cost of $820.

The cost per mile is found by dividing the cost by the associated number of miles:

$485/(500 mi) = $0.97 /mi

<h3>Equation</h3>

The equation for the cost will show the cost as the cost per mile multiplied by the number of miles:

C = 0.97m . . . . . where C is cost in dollars for m miles driven

<h3>1200 miles</h3>

The cost for driving $1200 miles will be ...

C = 0.97(1200) = $1164

The cost of driving 1200 miles is $1164.

The number of miles that can be driven for a cost of $820 is ...

820 = 0.97m

m = 820/0.97 = 845.36

About 845 miles are driven for a cost of $820.

3 0

10 months ago

Find the 20th term in the sequence, where the first term is -2 and the common ratio is-2.

geniusboy [140]

Answer:

Step-by-step explanation:

(1)

a1=-2

r=-2

$a_{20}=(-2)(-2)^{20-1}=-2(-2)^{19}=2^{20}=1048576\\(2)\\a_{1}=1000\\r=\frac{200}{1000} =\frac{1}{5} \\a_{8}=1000(\frac{1}{5} )^{8-1}=1000(.2)^7=0.0128\\(3)\\a_{1}=2\\a_{3}=50\\a_{2}=\sqrt{2*50} =10\\r=\frac{10}{2} =5$

6 0

2 years ago