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2 years ago

A couple has six children what is the probability that they have all boys

1 answer:

4 0

For any birth we have only two possible outcomes either boy or girl. So the chance of getting boy or girl on birth same which is 1/2.

The probability of getting baby boy or baby girl on any birth is

P(Boy) = P(Girl) = 0.5

If a couple has six children then probability that all are boys is

P( all six are boy) = (0.5)^6

= 0.015

The probability that all six are boy is 0.015

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

What is the corrct answer

Mademuasel [1]

D is the right answer

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3 years ago

I'll give brainliest<br><br><br> -4n(5n+6)-5(3+3n)

motikmotik

Answer:

-20n^2-39n-15

Step-by-step explanation:

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2 years ago

Write each ratio in simplest form

vitfil [10]

Answer: The Answer is 1/2.

Step-by-step explanation: You divide both numbers by 7 to get 4/8. Then you divide that down to 2/4, and then you divide that down to 1/2.

7 0

2 years ago

What is 69/8 as mixed number?

Dafna1 [17]

There you go
..............

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2 years ago