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2 years ago

How many things can happen if you spin the spinner three times and flip the coin three times?

Mathematics

1 answer:

vladimir2022 [97]2 years ago

7 0

Answer:

Step-by-step explanation:

8 possible outcomes

We can now extend this thinking. If we toss three coins, we have a total of 2 × 2 × 2 = 8 possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.

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The market and Stock J have the following probability distributions:

denis-greek [22]

Answer:

1) $E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

2) $E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

3) $E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

4) $E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

Step-by-step explanation:

For this case we have the following distributions given:

Probability M J

0.3 14% 22%

0.4 10% 4%

0.3 19% 12%

Part 1

The expected value is given by this formula:

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

And replacing we got:

$E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%$

Part 2

$E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%$

Part 3

We can calculate the second moment first with the following formula:

$E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1$

And the variance would be given by:

$Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89$

And the deviation would be:

$Sd(M) = \sqrt{13.89}= 3.73$

Part 4

We can calculate the second moment first with the following formula:

$E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8$

And the variance would be given by:

$Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56$

And the deviation would be:

$Sd(M) = \sqrt{55.56}= 7.45$

8 0

2 years ago

Help me please. mad confused lol

SCORPION-xisa [38]

Answer:

P = 30 degrees, PQ = 6.93, PN = 8

Step-by-step explanation:

For the angle, just subtract the angles you already know from 180, so 180 - 90 - 60= P. P = 30 degrees.

For PQ, use tan60 = x/4, or 4tan(60), which equals 6.93.

For PN, use cos60 = 4/x, or 4/cos60, which equals 8.

Hopefully this helps- let me know if you have any questions!

7 0

2 years ago

In a certain clothing store, 4 shirts and 6 ties cost $70, and 2 shirts and 4 ties cost $42. What is the cost of each tie?

Oksanka [162]

Answer:

Step-by-step explanation:

Your two equations are ...

4s +6t = 70
2s +4t = 42

Double the second equation and subtract the first:

2(2s +4t) -(4s +6t) = 2(42) -(70)

2t = 14 . . . . . simplify

t = 7 . . . . . . . divide by 2

The cost of each tie is $7.

3 0

3 years ago

Sum points lol. I'm being generous :)

denis23 [38]

Thannnnnnnnk yooooooouuuuuuu

4 0

2 years ago

The vertices of a triangle are P(-1, 3), Q(2, -1), and R(5, 3).

Morgarella [4.7K]

Ok so to find which sides are congruent we need to know their lengths.

To find the length we need the distance formula between two point ->

√(X2-X1)∧2 +(Y2-Y1)∧2

Ok lets find the first side PQ

P(-1,3) Q(2,-1)
X1 Y1 X2 Y2

√(2-(-1)∧2 + (-1-3)∧2 = 5

Now PR

P (-1,3) R (5,3)
X1 Y1 X2 Y2

√(5-(-1))∧2 + (3-3)∧2) = 6

Now the last side QR

Q (2, -1) R (5,3)
X1 Y1 X2 Y2

√(5-2)∧2 + (3-(-1))∧2 = 5

From the above work we see that PQ and QR are congruent becuase they are equal PQ=QR

Also the opposite angles of these sides are congruent. Hope this helps :).

8 0

3 years ago

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