To make 5 dinner rolls 1/3 cup of flour is used. how much flour is needed to make one dinner roll?

Solve for x: x-5/-2 = x-1/-3

zhannawk [14.2K]

Answer:

0=−13/6

Step-by-step explanation:

6 0

3 years ago

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Given a circle in the complex plane with a diameter that has endpoints at: -12 − i and 18 + 15i Find the center of the circle. +

azamat

Answer: The center of the circle is 3+7i

Explanation: Let z1 and z1 be the two end points and c be the center to be determined. The center lies half of the difference between z1 and z1, measured from z1:

$z_1=-12-i\\z_2=18+15i\\c=z_1+\frac{z_2-z_1}{2}=-12-i +15+8i=3+7i$

4 0

3 years ago

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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

The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-

lbvjy [14]

The diagonal of the tv screen is given by:
d = root ((w) ^ 2 + (h) ^ 2)
Where,
w: width
h: height
In addition we have the following relationship:
h / w = 8/15
Thus,
For the width:
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
For the high:
d = root (((15/8) h) ^ 2 + (h) ^ 2)
Answer:
The expressions for the width and height of a wide-screen tv in terms of the length of its diagonal are:
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
d = root (((15/8) h) ^ 2 + (h) ^ 2)

5 0

3 years ago

You are planning to email to two lists. the first list has 1,200 names. the second list has 900 names. there are 150 names that

Snezhnost [94]

Answer: There are 1800 unique names from both the lists.

Explanation:

Since we have given that

there are two lists :

In First list, number of names = 1200

In Second list, number of names = 900

According to question , we have also given that

there are 150 names that appear on both lists,