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2 years ago

A fair coin is used to simulate the gender of each child in a family with three children.

Mathematics

2 answers:

vlada-n [284]2 years ago

6 0

Answer:

Step-by-step explanation:

Let heads be the number of males

Let tails be the number of females.

There are 8 ways a family of 3 could be described.

H H H

H H T

H T H

H T T

T H H

T H T

T T H

T T T

So H T H means the oldest child is a male the middle child is a female and the youngest child is H which is a male.

Misha Larkins [42]2 years ago

5 0

50/50 chance for all 3 children

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I’m not sure how to complete this if anyone can solve it for me

finlep [7]

Answer: AD = 108

BD = 105

ADB = 213

ABC = 182

Step-by-step explanation:

If no radius is given, assume it is length 1.

Then, the length of the arc is equal to the central angle.

Reminder that a circle is 360°

$\bold{\underline{\stackrel\frown{AD}:}}$

The central angle = 108°, so the arc length = 108

$\bold{\underline{\stackrel\frown{BD}:}}$

BD = BC + CD

= 35° + 70°

= 105°

The central angle = 105°, so the arc length = 105

$\bold{\underline{\stackrel\frown{ADB}:}}$

ADB = AD + CD + BC

= 108° + 70° + 35°

= 213°

The central angle = 213°, so the arc length = 213

$\bold{\underline{\stackrel\frown{ABC}:}}$

First, find the angle of AB.

AB = 360° - ADB

= 360° - 213°

= 147°

ABC = AB + BC

= 147° + 35°

= 182°

The central angle = 182°, so the arc length = 182

5 0

3 years ago

HELP FAST I'LL MARK YOU BRAINLIEST What is an equation of the line that passes through the point (−2, 3) and is perpendicular to

igomit [66]

Answer: y = -2/3x + 5/3

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal --> -2/3
Using point given (-2, 3), find b.
3 = -2(-2/3) + b
3 = 4/3 +b
5/3 = b

5 0

2 years ago

An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The el

CaHeK987 [17]

Let's take this problem step-by-step:

Let's first set up some variables:

c: # of children
a: # of adults

Let's examine the information given:

Elevator can hold a maximum of 1500 pounds

⇒ average child is 75 pounds

⇒ average adult is 150 pounds

⇒ therefore: $75c + 150a\leq 1500$

Elevator can fit no more than 14 people

⇒ therefore: $c + a \leq 14$

Let's graph the equations:

$75c+150a\leq 1500\\c+a\leq 14$

⇒ look at the image attached

The point at which the two graphs intersect:

⇒ is the solution that represents the amount of children and adults and

their combine weight

With the horizontal axis being the # of children and vertical axis being the # of adults:

⇒ the solution is 8 children and 6 adults

Answer: 8 children and 6 adults

Hope that helped!

7 0

1 year ago

When mindy went to China, she exchanged $1.00 for 6.589 yuan . What digit is in the tenths place and the hundredth place of 6.58

jenyasd209 [6]

Answer:

tenth place= 5

hundredth= 8

Step-by-step explanation:

tenth is 5 since 5÷10=0.5

6 0

3 years ago

Alegebra liner equations.

luda_lava [24]

1. The answer would be (D). This is because you will plug is the (x) of the ordered pair into the equation(y=-2x), so first off would be (y=-2(-2)). since your multiplying a negative time a negative, you will get your (y) which is 4. Now you do this with the rest. -2(1)=-2 and -2(3)=-6.
2. This would be (A). This answer is simple. First you will take one of the equations (y=-x-1) and plug x into it's place so, y=-3-1, getting your answer(y) as being -4. Now you do the same with the other pair. y=-5-1, getting -6, showing (A) as your answer.
3.The answer will be (A)y is 2 times x. this is because you wou would make out the equation from the answer (y=2x). Now knowing your equation, all thats left is plugging in your (x) factors. so y=2(1), getting your (y) value of 2 and you would do this with the rest of your x factors.
4. y=5+x
y=5+(2)= 7
y=5+(3)= 8
y=5+(4)= 9
5. (B)y is 3 times x
y=3(x)
y=3(3)=9
y=3(4)=12
y=3(5)=15
6. (C)y is 6 less than x
y=6-(x)
y=6-(8)=2
y=6-(9)=3
y=6-(10)=4

5 0

2 years ago