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il63 [147K]
2 years ago
6

Point D is on line segment \overline{CE}

Mathematics
1 answer:
ANTONII [103]2 years ago
5 0

Answer:

DE = 18

Step-by-step explanation:

Given that,

Point D is on line segment CE.

DE = x+10, CD=6 and CE=3x

We need to find the length of DE.

ATQ,

CE = CD + DE

Putting all the values,

3x = 6 + x+10

Taking like terms together

3x-x = 16

2x = 16

x = 8

DE = x+10

= 8+10

= 18

Hence, the length of DE is 18.

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A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on four numbers pays 8 to 1 (that is, if you bet $1 and one of t
Natasha_Volkova [10]

Answer:

Lose $0.05

Step-by-step explanation:

There are 38 possible spots on the roulette wheel (numbers 1 to 36, 0 and 00).

If the player can choose four numbers on single $1 bet, his chances of winning (W) and losing (L) are as follows:

P(W) = \frac{4}{38} \\P(L) = 1-P(W) = 1-\frac{4}{38} \\P(L) = \frac{34}{38}

The expected value of the bet is given by the probability of winning multiplied by the payout ($8), minus the probability of losing multiplied by the bet cost ($1)

EV=\frac{4}{38}*\$8 -\frac{34}{38}*\$1\\EV= -\$0.05

On each bet, the player is expected to lose 5 cents ($0.05).

4 0
3 years ago
The sum of three consecutive number is 633 ,find the numbers
chubhunter [2.5K]

Answer:

210, 211, 212

Step-by-step explanation:

If we denote the first number as x, then the second number can be written as x + 1 and the third number as x + 2.

The equation is:

x + (x + 1) + (x + 2) = 633

3x + 3 = 633

3x = 633 - 3

3x = 630

x = 210

So the three consecutive numbers we're looking for are: 210, 211, 212

8 0
3 years ago
Can you answer these please! I really need help! And I'm so not even joking only 16 17 18 and 19
frozen [14]
16.) 38.25= 4.25h
divide by 4.25 on both sides
       h=9
17.)214= 1/3x
divide by 1/3 on both sides
x= 642
18.)70= 2x
divide by 2 on both sides
x=35
19.)18.69= 5.25+1.68x
subtract 5.25 on both sides
13.44=1.68x
divide by 1.68 on both sides
x=8
4 0
3 years ago
What is the answer to this <br> 25=-7(x+5)+5x
Aleksandr [31]

Answer:

x = -25

Step-by-step explanation:

25 = -7(x + 5) + 5x

25 = -7x - 25 + 5x

5x - 7x - 25 = 25

5x - 7x - 25 + 25 = 25 + 25

5x - 7x = 50

-2x = 50

-2x/-2 = 50/-2

x = -25

3 0
3 years ago
Read 2 more answers
What is the domain of F(x) = 1/x ?
Elenna [48]

Step-by-step explanation:

The domain is the possible x values of a function.

Since our function is a reciprocal function, our denominator can't equal 0. Note x=0, is a vertical asymptote.

So our domain is

All Reals except 0,

or (-oo,0) U (0, oo).

6 0
2 years ago
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