MATHEMATICS HIGH SCHOOL

Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%. Find the probability of each event. P(at least one boy anf one girl)

P(two boys and one girl)

P(at least two girls)

I don't care if you cab only answer one, I would very much appreciate it if you still answered that one instead of nothing.

Answers

Answer 1
Answer:

Answer:

1) \text{P(at least one boy and one girl)}=(3)/(4)

2) \text{P(at least one boy and one girl)}=(3)/(8)

3) \text{P(at least two girls)}=(1)/(2)

Step-by-step explanation:

Given : Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%.

To  Find : The probability of each event.  

1) P(at least one boy and one girl)

2) P(two boys and one girl)

3) P(at least two girls)        

Solution :

Let's represent a boy with B and a girl with G

Mr. and Mrs. Romero are expecting triplets.

The possibility of having triplet is

BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG

Total outcome = 8

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}

1) P(at least one boy and one girl)

Favorable outcome =  BBG, BGB, BGG, GBB, GBG, GGB=6

\text{P(at least one boy and one girl)}=(6)/(8)

\text{P(at least one boy and one girl)}=(3)/(4)

2) P(at least one boy and one girl)

Favorable outcome =  BBG, BGB, GBB=3

\text{P(at least one boy and one girl)}=(3)/(8)

3) P(at least two girls)

Favorable outcome = BGG, GBG, GGB, GGG=4

\text{P(at least two girls)}=(4)/(8)

\text{P(at least two girls)}=(1)/(2)
Answer 2
Answer:  

Let's represent a boy with B and a girl with G

For example BBB is three boys and BGB is two boys and one girl.

These are all the possibilities

1) BBB

2) BBG

3) BGB

4) BGG

5) GBB

6) GBG


7) GGB

8) GGG

There is in total 8 different possibilities.

Now let's analyze the conditions

p (at least one boy and one girl)

That excludes only BBB and GGG so they are 6 possibilities out of 8

p = 6/8 = 3/4

p (two boys and one girl).

Those are 3 out of 8

p = 3/8

p (at least two girls)

Those are 3 (two girls) + 1(three girls) = 4

P = 4/8 = 1/2

Please, let me know if this was satisfactory for you.

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What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?

Solve for x.

25x=65


1225

125

3

6

Answers

Option C is the correct answer.

Step-by-step explanation:

We need to find 25 x = 65

Dividing both sides by 25

We will get

                25x=65\n\n(25x)/(25)=(65)/(25)\n\nx=(13* 5)/(5* 5)\n\nx=(13)/(5)\n\nx=2.6\n\nx\approx 3

Option C is the correct answer.

The calculated value of x in the equation 2/5x = 6/5 is (c) 3

How to calculate the value of x in the equation

From the question, we have the following parameters that can be used in our computation:

2/5x = 6/5

Divide through the equation by 2/5

So, we have the following representation

(2x/5)/(2/5) = (6/5)/(2/5)

Evaluate the quotient on the right hand side

(2x/5)/(2/5) = 3

Lastly, we have

x = 3

Hence, the value of x in the equtaion is x = 3

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How many ways can the letters in the word poster be arranged

Answers

Answer:

720

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

WILL GET BRAINLIEST The scatterplot shows the weight and miles per gallon of the nation's 40 best-selling cars.Vehicle Weights and Miles
Per Gallon
Miles Per Gallon
Vehicle Weight
Which statement is most strongly supported by the scatterplot?

Answers

The last one as we can see that as the wight increases, the miles per gallon decreases.

Jason jumped of a cliff into the ocean . His height as a function off time could be models as h(t)=16tsquared + 16t + 480 where t is the time in seconds and h is height in feet. How long did it take Jason to reach his maximum height

Answers


I see that you are in high school, and I'm hoping that you've been introduced
to differential calculus, because I don't know how to answer this question without
using it.

We're told that Jason's height above the water is  H(t) = -16t² + 16t + 480 .
We can observe many things from this equation:
-- Up is the positive direction; down is the negative direction.
-- The acceleration of gravity is 32 ft/sec² .
-- Jason jumps upward from the cliff, at 16 ft/sec .
-- The cliff is 480-ft above the water.
(This tells us why the question is only concerned with his maximum height,
and then it ends ... 480-ft is one serious cliff, and what happens after the
peak of his arc is too gruesome to contemplate.)

In any case, his vertical velocity is the first derivative, with respect to time,
of his height above the water.

         V = -32 t + 16

At the peak of his arc, where gravity takes over, his velocity changes from
upward to downward, and it's momentarily zero.

                                           0 = -32t + 16

Add  32t  to each side:    32t = 16

Divide each side by  32:      t = 1/2 second

His height at that instant is     H(0.5) = -16(0.5)² + 16(0.5) + 480 =

                                           4-ft above the cliff,  484-ft above the water,

and then he begins falling from that altitude.

The duration of his dive is      484 = 16 t²
                                                   t = √(484/16) = 5.5 seconds

and he hits the water at      V = a t = (32) x (5.5) = 176 ft/sec = exactly 120 mph

Jason was good man ... a good student, and always kind to everyone he met.
He will certainly be missed.

A parachutist falls at a speed of about 12 miles per hour. Find this speed in feet per second

Answers

so in 1 hour, the parachutist will fall 12 miles or
12 mi/1hour

convert
1 hour=60 mins
1 min=60 seconds
1 hour=60 times 60 seconds=360 seconds
12 miles per 360 seconds


convert miles to feet
5280 feet per mile
12 miles times 5280=63360 feet

63360/360
do the math and simplify
63360/360=6336/36=176

176 feet per second

Final answer:

The parachutist's speed of 12 miles per hour can be converted to feet per second by using conversion factors (1 mile equals 5280 feet, and 1 hour equals 3600 seconds).

The resultant speed is approximately 17.6 feet per second.

Explanation:

To convert the parachutist's speed from miles per hour to feet per second, utilize the known conversion factors for miles to feet and hours to seconds. Bread down the problem into two conversions: first, convert miles to feet (1 mile is equivalent to 5280 feet).

Next, convert hours to seconds (1 hour is equivalent to 3600 seconds). The given speed is 12 miles per hour: start the conversion by multiplying it by the number of feet in a mile, then dividing that result by the number of seconds in an hour.

Step 1: Convert miles to feet: 12 miles * 5280 feet/mile = 63360 feet

Step 2: Convert hours to seconds: 1 hour/3600 seconds

From Step 1&2, combine the results to find the speed in feet per second:

63360 feet ÷ 3600 seconds = 17.6 feet per second

So, the parachutist is falling at a speed of 17.6 feet per second.

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The monthly utility bills in a city are normally distributed with a mean of $121 and a standard deviation of $23. Find the probability that a randomly selected utility bill is between $110 and $130.

Answers

Answer:

Step-by-step explanation:

Applying the formula for normal distribution,

z = (x - u)/s

Where u = mean

s = standard deviation

x = the monthly utility bill in dollars

From the information given,

s = 23

u = 121

The probability that a randomly selected utility bill is between $110 and $130 is expressed as

P(110 lesser than or equal to x lesser than or equal to 130)

For 110

z1 = (110 - 121)/23 = - 11/23

z1 = - 0.4783

Looking at the normal distribution table,

The corresponding z score is 0.3192

For 130

z2 = (130 - 121)/23 = 9/23

z2 = 0.391

Looking at the normal distribution table,

The corresponding z score is 0.65173

P(110 lesser than or equal to x lesser than or equal to 130) = 0.65173 - 0.3192 = 0.33253
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