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jek_recluse [69]
3 years ago
8

2. If AD= 2x – 1 and BC = 5x – 13, then AD= BC= AB= DC =

Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0

Answer:

the question is missing a relation between AD AND BC

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In the game of​ roulette, a wheel consists of 38 slots numbered​ 0, 00,​ 1, 2,..., 36. To play the​ game, a metal ball is spun a
Oxana [17]

Answer:

E(X)=-0.0526

Sd(X)=5.763

Step-by-step explanation:

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.  

Let X be a random variable which denotes the money you may win or lose on each spin.

In the game of roulette, a wheel consists of 38 slots. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, we win $35; otherwise we lose $1.  So we have just one possibility to win and 37 of lose on an individual game.

___________________________

X            P(X)

___________________________

35           1/38

-1            37/38

___________________________

In order to calculate the expected value we can use the following formula:

E(X)=\sum_{i=1}^n X_i P(X_i)

And if we use the values obtained we got:

E(X)=(35)*(\frac{1}{38})+(-1)(\frac{37}{38})=-0.0526

In order to find the standard deviation we need to find first the second moment, given by :

E(X^2)=\sum_{i=1}^n X^2_i P(X_i)

And using the formula we got:

E(X^2)=(35^2)*(\frac{1}{38})+((-1)^2)(\frac{37}{38})=33.211

Then we can find the variance with the following formula:

Var(X)=E(X^2)-[E(X)]^2 =33.211-(-0.0526)^2 =33.208

And then the standard deviation would be given by:

Sd(X)=\sqrt{Var(X)}=\sqrt{33.208}=5.763

4 0
2 years ago
How can this product be simplified 8p(-2p^2+6p-2)
Nikitich [7]

Answer:

-16p³ + 48p² - 16p

Explanation:

In order to simplify the given expression, we need to multiplied 8p with (-2p²+6p-2)

8p*(-2p²+6p-2)

we need to distribute 8p over the brackets or parenthesis.

=8p*(-2p²) + 8p*(6p) + 8p*(-2)

= 8*(-2)*p*p² + 8*6p*p + 8*(-2)* p

= -16p³ + 48p² - 16p

We can't simplify it more, so that's the final answer.

I hope it's help.





8 0
3 years ago
Read 2 more answers
An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base
kirill115 [55]

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

6 0
2 years ago
Plz help me thank you
d1i1m1o1n [39]

Answer:

I think and sorry if I am wrong but it is 780 ounces

5 0
2 years ago
What is $75.00 to spend at the mall. You want to buy a hoodie that costs $80.00. The store is having a 20%-off sale. (There is n
Arisa [49]
The total of the hoodie would be $64 dollars & you will have $16 dollars remaining.
7 0
2 years ago
Read 2 more answers
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