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3 years ago

Susan claims. "If a family has already got four boys, then the next baby is more likely to be a girl than a boy."

Mathematics

1 answer:

Zinaida [17]3 years ago

6 0

Answer:

Assuming that for every baby the probability of being a girl or a boy is the same (50% for each of them)

We could then think in this situation as a coin flip.

Suppose that you flip a coin 4 times, and the four times you get heads.

Does this imply that in the 5th flip the probability of getting tails increments?

Well, not, each flip is an individual event, and it's outcome does not depend on the outcome of the previous flips.

The same is for the new baby, the gender does not depend on the gender of the previous babies, is an independent event, then Susan's statement is false.

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JUST ANSWER PLEASE!!! QUICK

jeka57 [31]

Answer:

Options 1 and 3

Step-by-step explanation:

We should know that, the system of linear equations can be treated as matrices, i.e: we can modify or make any operations provide that we must apply the same operation for all terms of each equation.

Given: the solution for the following system is (2,9)

Px + Qy = R ⇒(1)

Tx + Uy = V ⇒(2)

We will check which system of equation has the same solution.

System A) Px + Qy = R

(P+T)x + (Q+U)y = R+V ⇒(3)

So, By summing (1) and (2) we will get the equation (3)

So, system A has the same solution (2,9)

System B) Px + Qy = R

(P+2T)x + (Q+2U)y = R-2V ⇒(4)

By multiplying equation (2) by 2 and add with equation (1), we will get:

(P+2T)x + (Q+2U)y = R+2V

Which is not the same as equation (4)

So, system B has not the same solution (2,9)

System C) (T-P)x + (U-Q)y = V-R ⇒(5)

Tx + Uy = V

By multiplying equation (1) by -1 and add with equation (2), we will get the equation (5)

So, system C has the same solution of (2,9)

System D) (T-P)x + (Q+U)y = V-R ⇒(6)

Tx + Uy = V

We cannot get equation (6) by the same operation over equation (1)

Note the coefficient of x and y⇒ (T-P) and (Q+U)

They must be (T+P) and (Q+U) OR (T-P) and (Q-U)

So, system D has not the same solution of (2,9)

System E) (5T-P)x + (5U-Q)y = V-5R ⇒ (6)

Tx + Uy = V

By subtract equation (1) from 5 times equation (2), we will get:

(5T-P)x + (5U-Q)y = 5V-R

Which is not the same as equation (6)

So, system E has not the same solution (2,9)

As a conclusion, the systems which have the same solution are:

Options 1 and 3

5 0

2 years ago

What is the slope of the line shown in the graph? A coordinate plane is shown. Points are graphed at negative 3 comma 2 and nega

Dmitry_Shevchenko [17]

The best and most correct answer among the choices provided by your question is the the first choice. We can conclude from the figure you specified that the "Points are graphed at negative 3 comma 2 and negative 1 comma negative 1". I hope my answer has come to your help. God bless and have a nice day ahead.

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3 years ago

Read 2 more answers

I need to know a system of equations to solve this please

Snowcat [4.5K]

3.That BC are congruent and that AB and AC are congruent as well

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3 years ago

HELP ME!!!! ASAP!!!!! Thank you so much!!!!

likoan [24]

3/2x + 1/5 >= -1
3/2x >= - 6/5
x >= -12/15
x >= -4/5

-1/2x - 7/3 >= 5

-1/2x >= 22/3
x <= -44/3

Its D

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