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EastWind [94]
3 years ago
15

If an unfair coin comes up heads​ 60% of the time and tails​ 40% of the​ time, what is the expectation if heads is valued at 1 a

nd tails is valued at​ -1?
Mathematics
1 answer:
monitta3 years ago
5 0
I would think the value would be .2 cause if you had 100 tosses you would expect 60 value for heads and -40 value for tails. giving you 20/100
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Can someone please help with this i don’t know that answer and I want to pass
Nataliya [291]

¹¹/48 of the full cup

Step-by-step explanation:

We add the two fraction first to determine the total ratio

¹/4 + ²/3 = ¹¹/12

She uses ¼ cup grape juice for ¹¹/12 cup full of diluted grape juice

Therefore;

¼ : ¹¹/12

How How much grape juice does Sarah use for each full cup of water, i.e ¹²/12

? (x) : ¹²/12

We cross multiply the ratios;

¹²/12 * ¼ = ¹¹/12 * x

³/12 = ¹¹/12 x

³/12 * ¹²/11 = x

¹¹/48 = x

5 0
2 years ago
If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
7nadin3 [17]
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter

Hope this helped!
4 0
3 years ago
True or false is a relation in which each y value has only 1 x value
boyakko [2]

Answer:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

Step-by-step explanation:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

The reason is very clear that we can not have the repeated x-values (two same x-values).

For example, given the set of the ordered pairs of a relation

{(3, a), (6, b), (6, c)}

As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.

In order to be a function, a relation must have only 1 x-value for each y-value.

Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.

5 0
3 years ago
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is
Vladimir79 [104]

Answer:

Step-by-step explanation:

Since the distance travelled on 1 gallon of fuel is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the distance travelled.

µ = mean distance

σ = standard deviation

From the information given,

µ = 50 miles

σ = 8 miles

A) P(x > 53) = 1 - P(x ≤ 53)

For x = 53,

z = (53 - 50)/8 = 0.38

Looking at the normal distribution table, the probability value corresponding to the z score is 0.648

B) P(x < 42)

For x = 42

z = (42 - 50)/8 = - 1

Looking at the normal distribution table, the probability value corresponding to the z score is 0.1587

C) P(44 ≤ x ≤ 53)

For x = 44

z = (44 - 50)/8 = - 0.75

Looking at the normal distribution table, the probability value corresponding to the z score is 0.2266

For x = 55,

z = (55 - 50)/8 = 0.63

Looking at the normal distribution table, the probability value corresponding to the z score is 0.7357

Therefore,

P(44 ≤ x ≤ 53) = 0.7357 - 0.2266 = 0.5091

8 0
2 years ago
A}20<br>b}28<br>C}23<br>D}26<br>i need some help asap
DaniilM [7]
The answer would be 26 due to the fact that it’s just nearly above the 25 mark
3 0
3 years ago
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