Approximately 50% of babies born are boys. Five coins are tossed 60 times and the coins showed two tails out of the five coins 40 times. Determine the experimental probability of a woman having 2 boys out of 5 children.

Answers

Answer 1

The experimental probability that a woman will have two boys out of five children is equal to 0.4 or 40%.

Related Questions

If male and female college students work an average of 15 hours per week during the school year and the standard deviation is 5.4 for male students and 2.3 for female students, what may we conclude?

Answers

The variance of hours males spend working is almost two times as large as females. 60% of those females are more likely to work between 12.7 to 17.3 hours while 60% of the males work between 9.6 to 20.3 hours based on one standard deviation.

Answer: the male sample is more spread than the female sample

Step-by-step explanation:

The mean is the same for both genres, but the standard deviation form males is bigger than the one for females.

This means that the data of the male students is more spread than the female data (so there are more male students that study more hours, but there also are more male students that study less hours).

So the general conclusion is that the male sample is more spread than the female sample

To stay healthy, Kevin’s doctor says he should try to consume at most 2000 inequality to show the amount of calories Kevin should consume

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x greater than or equal to sign 2000

[tex]c \leqslant 2000[/tex]
c stands for calories kevin should consume

Find a ⋅ b. a = 4i - 4j, b = 4i + 5j

Answers

a=<4,-4>
b=<4,5>

a.b =4*4-4*5=16-20=-4

For this case we have the following vectors:

[tex]a = 4i - 4j\\b = 4i + 5j[/tex]

We must find the product point of both vectors.

To do this, we multiply component by component and add the results.

We have then:

[tex]a.b = (4) (4) + (-4) (5)\\a.b = 16 -20\\a.b = -4[/tex]

Answer:

The point product of both vectors is given by:

[tex]a.b = -4[/tex]

Of the members of a student choir, 60% are boys. If there are 21 boys in the choir, how many members does the choir have in total?

Answers

Suppose there are x number of members in all.

Now we are given that 60% of these are boys.

So number of members who are boys = 0.6x

We are also given that there are 21 boys in the choir.

So making an equation ,

[tex] 0.6x =21 [/tex]

dividing both sides by 0.6,

x= 35

So there are total 35 members in the choir.

What are the zeros of the polynomial function f(x) = x3 – 4x2 – 12x

Answers

fx=x3−4x2−12x.‌fx/x‌=‌x3−4x2−12x/x‌

f=x2−4x−12

x³ - 4x² - 12x
x(x² - 4x - 12)
x(x - 6)(x + 2)
x = 0
x = 6
x = -2
The zeros are 0, 6, and -2

Which of the following are the coordinates of the vertex of y=-x^2+2x+1

Answers

y=-x²+2x+1
way 1:
common equation of parabola is y=ax²+bx+c.
rule: x₀=-b/(2a), y₀=-D/(4a), where x₀ and y₀ are coordinates of the vertex.
According to the described rule above x₀=(-2)/(-2)=1, y₀=8/4=2.
The vertex is (1;2).
way 2:
re-write the given equation into the form y=(x+m)²+n.
y=-(x-1)²+2.
Rule: point (-m;n) is vertex of the parabola.
According to the described rule the vertex is (1;2).

Divide 3x^2 -2x^2 -61x -20 by x -5

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Synthetic division shows the quotient to be
.. (3x^3 -2x^2 -61x -20)/(x -5) = 3x^2 +13x +4

Solve each equation f over 28=24

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I need a letter sorry I could not help

Given the information below, match the following items.

Given statement: If two angles add to 180°, then they are supplementary.

1.converse
2.inverse
3. contrapositive

If two angles are supplementary, then they add to 180°

If two angles do not add to 180°, then they are not supplementary. 3.contrapositive

If two angles are not supplementary, then they do not add to 180°.

Answers

Let this be the guide in dealing with conditional statement.

Statement = if p, then q
Converse = if q, then p
Inverse = if NOT p, then NOT q
Contrapositive = if NOT q, then NOT P.

Statement:
If two angles add to 180°, then they are supplementary.

Converse:
If two angles are supplementary, then they add to 180°

Inverse:
If two angles do not add to 180°, then they are not supplementary.

Contrapositive:
If two angles are not supplementary, then they do not add to 180°

Answer:

Converse- If two angles are supplementary, then they add to 180°

Inverse- If two angles do not add to 180°, then they are not supplementary.

Contrapositive- If two angles are not supplementary, then they do not add to 180°

Step-by-step explanation:

how many prime numbers are there between 0 and 25

Answers

10

hope this helps<3

A prime number is a number which is only divideable by 1 or the number itself.

The prime numbers between 0 and 25 are:
2
3
5
7
11
13
17
19
23.
This are 9 numbers, so the answer is 9.

Solve the equation x2 = 10.

Answers

Answer:

[tex]\large\boxed{x=-\sqrt{10}\ or\ x=\sqrt{10}}[/tex]

Step-by-step explanation:

[tex]x^2=10\iff x=\pm\sqrt{10}[/tex]

The solution of the equation is x = ±3. 162.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.

Given:

x² = 10

Now to solve the above equation we have to take the square root on both side, we get

√x² = √10

x= ±√10

x= ±3. 162 ( because root provides two values one is positive and other is negative)

Hence, the value of x is ±3. 162.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ6

the sum of two numbers is -12 one number is 3 less than twice the other what is the bigger number

Answers

STEP 1:
x= one number
2x-3= other number

x + (2x-3)= -12
combine like terms

3x - 3= -12
add 3 to both sides

3x= -9
divide both sides by 3

x= -3 one number

STEP 2:
substitute x= -3 to find other number
2x-3= 2(-3)-3= -6-3= -9 other number

CHECK:
-3 -9= -12
-12= -12

ANSWER: One #= -3, Other #= -9

Hope this helps! :)

Crystal charges a flat fee of $10 plus an additional $5 per hour to babysit given the situation what is the range

Answers

Answer:

perhaps $10 to $10,810

Step-by-step explanation:

We assume Crystal may be willing to babysit for a period of up to 3 months (90 days), so 90×24 = 2160 hours. Her hourly fee for that period will be ...

... (2160 hours) × ($5/hour) = $10,800

That amount added her $10 initial charge may represent the upper limit of her pay. The lower limit will be the $10 initial charge.

_____

Comment on the question

Since no upper limit on hours is given, we conclude the problem is not well-specified.

We can make a variety of different assumptions regarding the upper limit of babysitting time.

We might choose to consider this a daily charge, so the upper limit is $130 per day. We might consider that Crystal is willing to babysit while the child's parents are on a 2-week vacation. We might consider that Crystal is willing to babysit for the duration of her summer vacation from school (about 3 months). This is the assumption we use here.

what is the measure of C?

Answers

60 degrees
If its an equilateral all angles are equal

I think the answer is 60

Ivan was given two data sets, one without an outlier and one with an outlier.

Data without an outlier: 108, 113, 105, 118, 124, 121, 109
Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 61

How is the median affected by the outlier?

Answers

It make it 121 instead of 118 because there is an extra number and median is the middle of a data set so the number of numbers is important.

Answer:

Median is decreased by the outlier or Outlier made median lower.

Step-by-step explanation:

First we calculate median of the data without an outlier:

Data in Ascending or increasing order ,

105 , 108 , 109 , 113 , 118 , 121 , 124

Now there are 7 terms so

Median = [tex]\frac{7+1}{2}^{th}\:term[/tex] = 4th term = 113

Now we find median of the data with outlier:

Data in ascending or descending order,

61 , 105 , 108 , 109 , 113 , 118 , 121 , 124

here no of terms are 8.

So, Median = [tex]\frac{(\frac{8}{2})^{th}+(\frac{8}{2}+1)^{th}}{2}[/tex]

= [tex]\frac{4^{th}+5^{th}}{2}=\frac{109+113}{2}[/tex]

= 111

So, Median is decreased by the outlier or Outlier made median lower.

If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? how many if each school must receive at least 1 black- board?

Answers

We usually distribute smartboards instead of blackboards these days!

We have a stars and bars problem.

We represent the blackboards by n=8 stars, and divide into k=4 schools (A,B, C & D) using three bars. Two consecutive bars or a bar at the end means that school has no blackboards.

For example,
*|***|*|***
Means there are two schools with 1 blackboard, and two other ones with three blackboards. Another example:
|*||*******
will mean there are two schools (A &C) with no boards, and B will have one, while school D will have 7.

So the problem reduces to counting the number of ways we can put the three identical bars.

If there is no minimum number of boards for each school, then we can place the k=4 bars at n+1=8+1=9 locations each.
Using combination notation, there are
C(n+1, k-1)=C(8+1,4-1)=C(9,3)=9!/(3!(9-3)!)=84 ways of distributing 8 blackboards to 4 schools.

On the other hand, if there is a minimum of one board for each school, then each school will get one, leaving 4 to be distributed as above, in
C(4+1,4-1)=C(5,3)=5!/(3!(5-3)!)=10 ways.

Can anyone please help me I will give you 13 points and make your answer the brainliest.Please help.

Answers

The true statements are ...

2. All squares are rectangles.

3. Not all parallelograms are rectangles.

_____

The attached diagram shows the relationships between various quadrilataral types. The line connecting a lower box to a higher box means "all of the lower box is a higher box." For example, all square are rectangles, and all rectangles are parallelograms.

However, it is typical for a higher box to have several different lower boxes. That is "a higher box may be any of the list of lower boxes or none of them" For example, a parallelogram may be a rhombus or a rectangle or neither.

What is the diameter of a circle that has an area of 452.16 mm 2? 144 mm 12 mm 24 mm 6 mm

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\quad \begin{cases} r=radius\\ -----\\ A=452.16 \end{cases}\implies 452.16=\pi r^2 \\\\\\ \cfrac{452.16}{\pi }=r^2\implies \sqrt{\cfrac{452.16}{\pi }}=r\implies 11.99695787\approx r[/tex]

now, that's the radius of the circle, recall that the diameter is twice the radius.

Answer:

the diameter is 24

Step-by-step explanation:

A box contains 3 cherry frozen treats and 2 grape frozen treats. Maggie takes a treat from the box without looking, gives it to her brother, and then selects another treat. What is the probability that her brother gets a grape treat and she gets a cherry treat?

Answers

Answer:

6/20 = 3/10

Step-by-step explanation:

Her brother gets the first treat. There are 2 grape treats out of 3+2 = 5 total; this is a probability of 2/5.

Maggie gets the second treat. There will still be 3 cherry treats left, but only 5-1 = 4 treats remaining; this is a probability of 3/4.

Together this gives us 2/5(3/4) = (2*3)/(5*4) = 6/20 = 3/10

Answer:

3/10 or 6/20

Step-by-step explanation:

Which statements are true?

Choose all answers that are correct.

A.

All quadrilaterals can be classified as either parallelograms or trapezoids.

B.

All rhombuses are parallelograms.

C.

Some trapezoids are parallelograms.

D.

Some parallelograms are squares.

Answers

Answer:

Step-by-step explanation:

B, C and D

Camelle manages her soccer team. She needs to order 4 practice jerseys for each player. There are y players. How many total practice jerseys does she need to order?

Answers

T= total # of jerseys to order
y= # of players

T= 4*y
Total equals 4 times # of players

T= 4y

Hope this helps! :)

Answer:

The required number of total practice jerseys does she need to order is '4y'.

Step-by-step explanation:

Given : Camelle manages her soccer team. She needs to order 4 practice jerseys for each player. There are y players.

To find : How many total practice jerseys does she need to order?

Solution :

Let the total practice jerseys does she need to order be 'x'.

According to question,

She needs to order 4 practice jerseys for each player.

Number of players are y.

So, Total jerseys she needs is

[tex]x=4\times y[/tex]

[tex]x=4y[/tex]

Therefore, The required number of total practice jerseys does she need to order is '4y'.

the number 0.4 can be written as 4/10 so it is a rational number

Answers

this is correct because 4/10 is .4

Answer: yes it's correct

Step-by-step explanation: yes it's correct

Express the complex number in trigonometric form. 3

Answers

The complex number 3, in trig form, would be 3 cos 0 degrees. This is a ray from the center, right, along the x-axis, for a distance of 3 units.

Answer:

Step-by-step explanation:

3(cos(0)+isin(0))

what is the least common denominator of the rational expressions below?
6/x^2+7x - 8/x^2+10x+21
a. x(x+7)(x+3)
b. x+7
c. x(x+7)^2(x+3)
d. x(x+3)

Answers

The first thing we need to do is factor the denominators in the rational expressions.
Notice that in the denominator of the first rational expression we have a common factor [tex]x[/tex], so we can factor x out:
[tex] x^{2} +7x=x(x+7)[/tex]
Now, the denominator of the second rational expression is a quadratic polynomial, we can factor it by finding tow numbers whose product will 21 and its sum will be 10. Those numbers are 7 and 3, (7x3=21 and 7+3=10):
[tex] x^{2} +10x+21=(x+7)(x+3)[/tex]

Lets rewrite our rational expression with our factored denominators:
[tex] \frac{6}{ x(x+7)} - \frac{8}{(x+7)(x+3)} [/tex]

Now, to find the least common denominator we are going to take one of the common factors (x+7) and all the non-common factors: x and (x+3):
[tex]x(x+7)(x+3)[/tex]

We can conclude that the correct answer is a. x(x+7)(x+3)

Explanation of finding the least common denominator of rational expressions.

The least common denominator of the rational expressions provided is option (d): x(x+3).

To find the LCD, first factor each denominator completely. Then, identify the unique factors and their highest powers. The LCD will be the product of these unique factors raised to their highest powers.

Find an equation for the nth term of the arithmetic sequence.

9, 11, 13, 15, ...

Answer Choices
A) an = 9 + 2(n - 1)
B) an = 9 + 2(n + 1)
C) an = 9 + 2
D) an = 9 + 2(n)

Answers

The first term is 9. The common difference is 11 -9 = 13 -11 = 2. The general term has the formula
an = a1 + d(n-1)

Substituting the values above, you have ...
A) an = 9 + 2(n - 1)

A bus travels 36 miles in 45 minutes enter the number of miles the bus travels in 60 minutes at this rate

Answers

Write a proportion
36/45=x/60
Cross multiply
45x=36*60
45x=2160
x=48 miles

48 miles.
36 divided by 45 is .8, that is for one minute. So .8 miles times 60 minutes is 48 miles.

A line and a plane are considered parallel if they have no points in common. True or False?

Answers

True Bc they both have two lines that are point in the same direction

Find the 29th term of the following sequence. 21, 15, 9, 3, . . .

Answers

BEST ANSWER IS -153......

Answer:

The correct answer would be -147

Step-by-step explanation:

Jeremy goes to the store where he buys 18 bananas. After two days, he notices that there are only 10 bananas that are left. Which equation below would Jeremy use to find the percent of bananas that he has left?

A. 10/18 = 100/x
B. 18/10 = x/100
C. 5/9 = x/100
D. 10/18 = x/55.5

Answers

Total number of Bananas = 18
Number of Bananas that are left = 10

Percentage of Bananas that are left = x

Mathematically, x can be expressed as:

[tex]x= \frac{10}{18} * 100 \\ \\ \frac{x}{100}= \frac{10}{18} \\ \\ \frac{x}{100}= \frac{5}{9} [/tex]

Thus the correct percentage of number of bananas that are left is expressed by option c.

If 12 is replaced with 3 in the following set, what will happen to the value of the range?

28, 45, 12, 34, 36, 45, 19, 20

It will increase.
It will decrease.
It will stay the same.

Answers

Since the range of a set of numbers is based entirely on the smallest number and the largest number (the largest number minus the smallest), and since 12 is the smallest number, the value of the range will decrease.

Your correct answer is A: it will increase.

Hope this helps. :)

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