The number of girl child per family was recorded for 1000 families with 3 children. The data obtained was as follows: [2] Number of Girls 0 1 2 3 Number of Families 112 314 382 192 Suppose a family is chosen at random, find the probability that it has: (a). At most one girl (b). More girls than boys

Answers

Answer 1

Answer:

[tex]a.\ Probability = 0.426[/tex]

[tex]b.\ Probability = 0.574[/tex]

Step-by-step explanation:

Given

[tex]Total\ Families = 1000[/tex]

Number of Girls :      0 ---->  1 -----> 2   ------->3

Number of Families: 112 -> 314 --> 382 ---> 192

Solving (a): At most one girl

From the table, the number of families with at most one girl is: 112 + 314

i.e.

Number of Girls :      0 ---->  1

Number of Families: 112 -> 314

So, we have:

[tex]At\ Most\ One\ Girl = 112 + 314[/tex]

[tex]At\ Most\ One\ Girl = 426[/tex]

The probability is then calculated as:

[tex]Probability = \frac{At\ Most\ One\ Girl}{Total}[/tex]

[tex]Probability = \frac{426}{1000}[/tex]

[tex]Probability = 0.426[/tex]

Solving (b): More girls

From the table, the number of families with more girl is: 382 + 192

i.e.

Number of Girls :      -----> 2   ------->3

Number of Families: --> 382 ---> 192

So, we have:

[tex]More\ Girls = 382 + 192[/tex]

[tex]More\ Girls = 574[/tex]

The probability is then calculated as:

[tex]Probability = \frac{More\ Girls}{Total}[/tex]

[tex]Probability = \frac{574}{1000}[/tex]

[tex]Probability = 0.574[/tex]


Related Questions

Anybody know the answer

Answers

Answer:

10) 15,794

11) 20,306

Step-by-step explanation:

10) Sin(33) = x÷29

Multiply with 29 on both sides.

x = Sin(33) × 29 = 15,794

11) Tan(55) = 29÷x

Multiply with x on both sides.

xTan(55) = 29

Divide with Tan(55) on both sides.

x = 29 ÷ Tan(55) = 20,306

Round 382,713 to the neartst ten thosand

Answers

Step-by-step explanation:

it would be 380,000 I believe

Answer:

382710

Step-by-step explanation:

Given the figure below, find the values of x and z.

Answers

Answer:

x=9 z=108

Step-by-step explanation:

72+9=81

81/9=9

x=9

72+72=144

360-144=216

216/2=108

z=108

Ms. Semuskie is buying bagels for her family. How many bagels can she buy for 50$

Answers

Answer:

40 bagels

Step-by-step explanation:

Let us assume that the cost of each bagel is $1.25

We need to find how many bagels she can buy for $50.

Let she can buy x bagels.

[tex]1.25\times x=50\\\\x=\dfrac{50}{1.25}\\\\x=40[/tex]

Hence, she can buy 40 bagels for $50.

In below diagrams, line BC is parallel to DE.

Answers

Answer:

DAF= 73

Step-by-step explanation:

To find opposite angles like BAC and DAF take 180 minus the given angle. For example to solve this, 180-107= 73. Hope this helps <3.

Are you in the mood to save a life? if your answer is yes you are in the right place. PLSSSSSSSSSSS HELP
Could a design be both translational and glide reflectional symmetry? Explain why or why not.

Answers

Answer:

yes why

?

Step-by-step explanation:

Find the x-intercept of the equation
y= x + 3.
a) (-3,0)
b) (0, 3)
c) (0,0)
d) (3, 0)​

Answers

I would say either A or B because -3+3=0 and 0+3=3

Hope this helps

Answer:

A (-3,0)

Step-by-step explanation:

By the way, there's this website called Desmos. I find it's very helpful.

Which of the following statements are true of 12 and -12?
They are the same distance from zero.
They are a zero pair.
They are equivalent.
They are opposites.

Answers

Answer:

your answer would be A.

Step-by-step explanation:

They are the same distance from zero.

Answer:

They are the same distance from zero

zero pairs

and opposites

What is the solution of -2x +5+ x = 3 + 2x - 7
x = 3
x = -1
x=1
x=3

Answers

Answer
X=3
Explanation I used the maths app from Microsoft

Here's a graph of a linear function. write the equation that describes that function.

Answers

Answer:

y = 1/4x + 5

Step-by-step explanation:

Here, we want to write the equation of the function

Generally we can have the equation of a straight line as;

y = mx + b

m is slope, b is the y-intercept

From the graph we have the y-intercept as 5

To get the slope, we select any two points and apply the slope formula

Let us have the points;

(8,7) and (4,6)

the slope will be;

m = (y2-y1)/(x2-x1) = (6-7)/(4-8) = 1/4

So the equation of the line is;

y = 1/4x + 5

A shirt is priced at $12. What is the price after a 15% discount and 7% sales tax?

Answers

$10.91 is the price of the shirt after the discount and tax

the total, end price is $10.91

15% of 12 = 1.8 which makes it 10.2

7% of 10.2 = 0.714 which makes 10.91

the end price is $10.91

May I have brainliest please? :)


What is the slope of the equation 3x - 4y = 32?
-3/4
-8
3/4
8

Answers

Answer:

y=34x−8

Step-by-step explanation:

Rewrite the equation
3x-32=4y —> y= 3/4x -8
So the slope is 3/4

Hope it is useful ;)

#2: Given the geometric sequence 200, 100, 50, 25... (This one is tricky)
Write the explicit formula.
• Determine the 15th term of the sequence?

Answers

# 2: 200, 100, 50, 25 ... geometrik dizisi göz önüne alındığında (Bu biraz zor)
Açık formülü yazın.
• Dizinin 15. terimini belirleyin?

Answer:

see explanation

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 200 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{100}{200}[/tex] = [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 200 [tex](\frac{1}{2}) ^{n-1}[/tex] ← explicit formula

The 15 th term is then

a₁₅ = 200 × [tex](\frac{1}{2}) ^{14}[/tex]

     = 200 × [tex]\frac{1}{16384}[/tex]

     = [tex]\frac{200}{16384}[/tex] ← divide numerator/ denominator by 8

     = [tex]\frac{25}{2048}[/tex]

What is the slope of the line through (-5,10) and (1,24(

Answers

Answer:7/3

Step-by-step explanation:

i went on a website and got the answer

Ms. Buback is competing in a race in which she both runs and rides a bike. She runs 5 kilometers in 0.5 hours and rides her bike 20 kilometers in 0.8 hours. At the rate given, how many kilometers can she bike in one hour?

Answers

Answer:

25.02 km/h

Step-by-step explanation:

60 min × 0.8 = 48 min

20 km÷48 = 0.417 km/min

0.417 × 60 = 25.02 km

chuck was chopping wood.when he was done he had 25 kg of firewood what was most likely the weight of the wood before he chopped it

Answers

Answer:

The weight of the wood before he chopped it is 245 N

Step-by-step explanation:

The law of conservation of mass states that for a given isolated system, mass (or matter) can not be created neither can it be destroyed, but it can be transformed into different forms

Therefore, whereby all the wood Chuck chops is taken as firewood, (wood which is dry is about 100% consumable as firewood) the mass of the wool before he chopped the wood = The mass of the firewood he had after chopping the wood = 25 kg

Weight = Mass × The acceleration due to gravity, g

g = Constant = 9.8 m/s²

The weight of the wood before he chopped it = 25 kg × 98 m/s² = 245 N.

Answer:

as much as it wants

Step-by-step explanation:

Plssss helpppp!!!!!!!

Answers

Answer:

The answer is 7600 because in order to reach negative coordinates you have to travel the length to 0 then down the scale to -1, -2, -3, and so on and vice versa to get to positive coordinates.

a coin is tossed 100 times. Which is the best estimate for the number of times the coin will land heads up?

Answers

Answer:

50

Step-by-step explanation:

There is a 50-50 chance the coin lands heads up. Of course, if you flip a coin 100 times, it will not be exactly 50, but it will be pretty close.

Answer:  

It is 50% likely because there is a 50/50 chance on both heads and tails

Step-by-step explanation:

i hope this helps sorry if im incorrect

if ordered pair (k, -3) lies on the graph of 5x - 2y = -24 then what is the value of k​

Answers

Answer:

given,

(x y)= (k -3)

so ,

5x- 2y= -24

or, 5k +6 =-24

or,5k =-24 - 6

or,5k= -30

therefore,

k=-6

what type of triangle is this?

Answers

It’s a right triangle

A teacher starts on a salary of $25000. each year the teacher gets a pay rise of $1500. the teacher is employed for 30 years.
a)Find their salary in their final year
b)Find the total they have earned during their teaching career.
c)If the inflation rate is on average 1.5% each year, find the real value of their final salary at the end of their final year in terms of the value at the beginning of their career, giving your answer to the nearest $100.

Answers

Answer:

A bachelor's degree with a licensure in your state is enough to be a teacher, but it is also the most basic qualification and will earn you the most basic salary. Teachers looking to increase their salary may benefit from a ...

PLEASE EXPLAIN 16a⁴-25???

Answers

Is this algebra? Or what

The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.

Answers

Answer:

486 centimeters³

Step-by-step explanation:

Surface area of a cube = 6s²

Where,

s = side length

Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.

s = 9 centimeters

Surface area of a cube = 6s²

= 6 × 9²

= 6 × 81

= 486 centimeters³

Surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters 486 centimeters³

The base angle theorem is written as a conjecture,"if two sides of a triangle are congruent, then the angles opposite of them are congruent". Write the converse of the conjecture and determine if it is true.

Answers

Step-by-step explanation:

Statement:

"If two sides of a triangle are congruent, then the angles opposite of them are congruent"

Converse:

If two angles of a triangle are congruent, then the two sides opposite them are congruent.

The converse of the statement is true and can be proven true using a two-column proof. In fact it is a theorem.

In the year 2010, a person bought a new car for $26000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2014, to the nearest hundred dollars?

Answers

Answer:

$17,100

Step-by-step explanation:

Set up an equation where y is the worth of the car and t is the number of years since 2010:

y = 26000(0.9)^t

Plug in 4 as t, since it is asking about 2014:

y = 26000(0.9)^t

y = 26000(0.9)^4

y = 17058.6

Round to the nearest hundred dollars:

17058.6

= 17,100

So, the car will be worth approximately $17,100

Simplify this expression.
2(10) + 2(x – 4)
O 2x + 16
O x + 12
0 2x + 12
O
*226

Answers

Given:

The expression is

[tex]2(10)+2(x-4)[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]2(10)+2(x-4)[/tex]

Using distributive property, we get

[tex]=20+2(x)+2(-4)[/tex]

[tex]=20+2x+(-8)[/tex]

[tex]=20+2x-8[/tex]

On combining like terms, we get

[tex]=2x+(20-8)[/tex]

[tex]=2x+16[/tex]

Therefore, the correct option is A.

how do you solve this equation k=4L-7

Answers

Answer:

l=k/4+7/4

Step-by-step explanation:

Solve for X-B(5,0.85), for x = 3.

Answers

Answer:

Solve for X-B(5,0.85), for x = 3.*25*

delete my question if it's wrong

The value of the expression is,

X = 0.138

We have to give that,

An expression is,

⇒ X ~ B (5, 0.85)

for, x = 3

Now, simplify the expression for x = 3 as,

X = ⁵C₃ (0.85)³ (1 - 0.85)³⁻¹

X = (5!/3!2!) (0.85)³ (1 - 0.85)²

X = 10 × (0.85)³ (0.15)²

X = 0.138

Hence, The value of the expression is,

X = 0.138

To learn more about the equation visit:

brainly.com/question/28871326

#SPJ6

Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?

Answers

Answer:

The answer is 59.5.

Step-by-step explanation:

Add 35+70%.

3/4 divided by 1/5
Please answer soon

Answers

Answer:

15

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!


3.75
forgive me if i’m wrong but i’m positive it’s correct
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