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alexdok [17]
3 years ago
6

Bob and Alice are expecting triplets. Assume that the probability of each child being born a boy is 0.4, and the gender of each

of the children is independent of the others. Suppose events A and B are defined as follows. Are A and B independent?
Carry at least 3 decimals in your calculations.

A - Bob and Alice have children of both sexes
B- Bob and Alice have at most one girl (Hint: Use one of the equations for independence to answer the question Calculate the right side, calculate the left side, and see if they are equal)
Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer:

Events A and B are not independent.

Step-by-step explanation:

In order for two events to be independent, the following relationship must be true:

P(A\cap B) = P(A)*P(B)

The intersection between events A and B is the outcome that Bob and Alice have exactly one girl, the probability is:

P(A\cap B) = 0.4*0.4*(1-0.4)\\P(A\cap B) = 0.096

For event A, the possible outcomes are having one or two girls:

P(A) = 0.4*0.4*(1-0.4)+0.4*(1-0.4)*(1-0.4)\\P(A) = 0.240

For event B, the possible outcomes are having none or one girl:

P(B) = 0.4*0.4*(1-0.4)+0.4*0.4*0.4\\P(A) = 0.16

Therefore, P(A) x P(B) is:

P(A) *P(B)= 0.240*0.160=0.0384\\

Since P(A) x P(B) ≠ P(A∩B), events A and B are not independent

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Each brochure is 23 centimetres wide.
RideAnS [48]

Answer:

6  brochures

Step-by-step explanation:

Each brochures is 23 centimeters wide.

The table is 1.5 meters wide.

To know how many brochures can be placed side by side on the table first you have to calculate how many centimeters there are in 1.5 meters wide.

One meter equals 100 centimeters.

Therefore in 1.5 meters there are:

1.5*100 = 150 centimeters.

Now we must calculate in how many parts of 23 cm can be divided 150 cm.

To do this we made the division of 150 between 23

\frac{150}{23}= 6.522

This means that up to 6 brochures of 23 cm can be placed side by side on the table

8 0
4 years ago
Anybody know the answer?
marysya [2.9K]
I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)

y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²

we want to find z so combine the equations by substituting the other variables x,y out.

substitute y² for (x² - 4²) in 1st equation.

(x² - 4²) + 9² = z²

now by rearranging the 2nd equation we can substitute x² for (13² - z²)

(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z

13 goes in the box




































6 0
3 years ago
$248.62 rounded to the nearest dollar
Alecsey [184]

$248.62 rounded to the nearest dollar would be $249.

That is because numbers 1-5 would round a number down and numbers 6-9 would round a number up.

Since the number in the tenth place is 6 it would round up to $249

8 0
4 years ago
Read 2 more answers
Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function D(m)=264m. When he w
ratelena [41]

Answer:

B(m)=A(m)-D(m)

B(m)=176m

Step-by-step explanation:

we are given

Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function

D(m)=264m

When he walks on the moving sidewalk at the airport, the distance, A, in feet, that he can cover in m m minutes is given by the function

A(m)=440m

B is the distance, in feet, that Roberto would travel on the moving sidewalk in  m minutes if he were standing still

moving sidewalk distance = standstill distance + walking distance

A(m)=D(m)+B(m)

so, we get

B(m)=A(m)-D(m)

now, we can plug values

B(m)=440m-264m

B(m)=176m

7 0
3 years ago
PLS HELP ASAP What is the value of x?
Furkat [3]

<u>ANSWER</u>

a. 12 units

<u>EXPLANATION</u>

According to the altitude theorem, RT which is the altitude, is equal to the geometric mean of TQ and TS, the segments created by the foot of the altitude on the hypotenuse.

This implies that:

x =  \sqrt{TQ \times TS}

From the diagram, TQ=16 and TS=9.

We substitute these values and solve for x.

x =  \sqrt{9 \times 16}

x =  \sqrt{144}

x = 12

Therefore x is 12 units.

The correct answer is A

3 0
3 years ago
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