Answer:
27.3%
Step-by-step explanation:
300/1100 = 0.2727
to get percentage we multiply ^^ by 100
so = 27.27% or rounded to nearest tenth = 27.3
Item 48 A couple has 5 children, all sons. If the woman gives birth to a sixth child, what is the probability that the sixth child will be a son
The probability that the sixth child will be a son is 50%. Each child, regardless of gender, has an equal chance of being born.
What is the probability that the sixth child will be a son?The probability of having a son as the sixth child can be calculated using the binomial formula. The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial.In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated as follows:P(son) = (5 choose 6) x (0.5^6) = 0.015625
The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial. In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated using the binomial formula as follows: P(son) = (5 choose 6) x (0.5^6) = 0.015625.
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how do i classify triangles?
Answer:
By the angles and sides, but if you need more help here is a link to a video that could be pretty helpful.
Step-by-step explanation:
https://www.khanacademy.org/math/cc-fourth-grade-math/plane-figures/imp-classifying-triangles/v/scalene-isosceles-equilateral-acute-right-obtuse#:~:text=Learn%20to%20categorize%20triangles%20as,acute%2C%20right%2C%20or%20obtuse.
Answer:
for equilateral triangle
1.each angle of an equilateral triangle is 60 degree
2.all the sides of equilateral triangle are equal
for isosceles triangle
1.any two sides of isosceles triangle are equal
2.base angles of an isosceles triangle is equal.
for scalene triangle
1.all the sides of scalene triangle are different.
Step-by-step explanation:
Hope this helps u!!
How to find the height of an isosceles triangle when only base is given?
It is not possible to find the height of an isosceles triangle when only the base is given. To find the height, you would need to know at least one other side length, in addition to the base.
The height of an isosceles triangle can be found using the Pythagorean Theorem, which states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the two shorter sides. To use the Pythagorean Theorem, you must first know the length of at least two sides of the triangle. Since only the base is given, it is not possible to calculate the height of the isosceles triangle. In order to find the height, you would need to know either the length of the other two sides, or the angle of one of the two equal sides. Once you have this information, you can use the Pythagorean Theorem to calculate the height of the triangle.
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Please help multiple the 2 binomials and simplify your expression and also make sure you combine like term and write your answers in standard form :(w - 7z) (6w+2z)
1) In your FINAL SOLUTION the first :
2) The second term is
3) The third term is
Step-by-step explanation:
Use the FOIL method
w × 6w =
[tex]6 {w}^{2} [/tex]
w × 2z = 2wz
-7z × 6w = -42wz
-7z × 2z =
[tex] - 14 {z}^{2} [/tex]
this simplified equals
[tex]6 {w}^{2} - 40wz - 14 {z}^{2} [/tex]
first term: 6w^2
second term: -40wz
third term: -14z^2
If you know how to do box and whisker plot pls help cause I forgot how to do it
The interquartile range (IQR) is the box plot showing the middle 50% of scores and can be calculated by subtracting the lower quartile from the upper quartile (e.g. Q3−Q1).
Look at the picture below to get a better understanding:
Answer:
9
Step-by-step explanation:
IQR is the length of the box
To start, take the max of the box (which is 15)
And then subtract the min of the box (which is 6)
15-6=9
9 is the IQR
What is the product of 3p and 4p² 5p 7?
The product of 3p, 4p² and 5p 7 is 120p⁹.
What is product?Product is an item or thing that is created or produced by a business. It can refer to both physical and intangible items, such as machines, food, software, intellectual property, or services. The concept of a product is used in many different industries, including manufacturing, retail, technology, and finance. Products are typically sold in exchange for money, but can also be given away or traded. Products are an essential part of any business, as they are what generate income for a company.
This can be calculated by multiplying 3p (3 x p) with 4p² (4 x p²) and 5p 7 (5 x p x 7). The result of this multiplication is 120p⁹ (3 x 4 x 5 x p x p² x 7).
To understand this calculation better, we can break it down into its component parts.
The 3p component is 3 x p, which gives us 3p. The 4p² component is 4 x p², which gives us 4p². The 5p 7 component is 5 x p x 7, which gives us 5p 7. When these three components are multiplied together we get 3 x 4 x 5 x p x p² x 7,which is equivalent to 120p⁹.
In conclusion, the product of 3p, 4p² and 5p 7 is 120p⁹.
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How do you write log in e form?
Log to exponential form is very useful to easily perform complicated numeric calculations. The logarithmic form
loga N=x
can be easily transformed into the exponential form as:
ax=N
Normally, large astronomical and scientific calculations are written in exponential form, and here we can use the log to exponential form of transformation.
Logarithms are occasionally transformed using antilog tables to normal form, rather than transforming into exponential form.
Log to exponential form required specific formulas of logarithms and exponents. Logarithms help in easily transforming the multiplication and division across numbers into addition and subtraction.
And exponentials help in working across numbers with different bases and different powers.
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What is another name for the mean of a group of numbers?
Answer:
Average \
hope this helped
Step-by-step explanation:
Answer:
the mean is also known as the average
Step-by-step explanation:
have a good day
What is the median for the following set of data?
5, 7, 8, 10, 12, 12
A.12
B.10
C.9
D.7
Answer:
C.)9
Step-by-step explanation:
You add up all your data to get 54 and divide by the amount of numbers you had in the data which was 6. So if you divide 54 by 6 you get 9.
A car that travels 20 miles in 1/2 hour at consent speed travels at the same rate as a car that travels 30 miles in 3/4 hour at a constant speed.
Explain how the Distributive Property can be used to solve the equation 3(x+4)=36. Multiply the first term in the parentheses by 3, then add 3 to the second term in the parentheses. Then solve the equation using inverse operations.
Need help ! Due soon
The table shows the average speed of
the winner of a car race for different
years. About how many miles did the
winner of the car race in 2015 travel
after 2 hours? Round to the nearest
whole number.
The distance traveled after 2 hours will be 324 miles.
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
The table shows the average speed of the winner of a car race for different
years.
year average speed
2005 135.17
2010 137.28
2015 161.94
2020 141.11
In order to find out how many miles the winner of the car race in 2015 traveled after 2 hours, we need to know the average speed at which they were traveling, which is given as 161.94 miles per hour. To find out how far they traveled in 2 hours, we can multiply this speed by the time, measured in hours.
So, if the average speed was 161.94 miles per hour, then the distance traveled in 2 hours is:
161.94 miles/hour × 2 hours = 323.88 miles.
Rounding up to the nearest whole number, the distance traveled after 2 hours is 324 miles.
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The question seems to be incomplete the missing table has been attached below
Denise is comparing a salaried job offer for $1,500 a week to a wage of $55 per hour. Which equation would help her find the "break-even point" where each offer would be equal?
A. 1500 = 55 + 2H
B. 1500÷10 = 55H
C. 1500 = 55H
D. 1500H = 55(40)
E. 1500-H= 55 x 8
Therefore , the solution to the given problem of inequality comes out to be 120d + 1,500 = 110d + 2,500.
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right
Here,
Given : $1,500 a week to a wage
$55 per hour
Thus ,
Taking all the information in concern
We get,
where d is the is he number of hour
120d + 1,500 = 110d + 2,500
Therefore , the solution to the given problem of inequality comes out to br
120d + 1,500 = 110d + 2,500.
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The start of an arithmetic sequence is shown below.
Work out the nth term
Work out the 30th term in this sequence.
4 - 13 - 22 - 31
Therefore , the solution of the given problem of arithmetic mean comes out to be a(30) = 265.
Define arithmetic mean.When all of the values in a set of data have the same unit of measurement, such as when all of the numbers are heights, miles, hours, etc., this technique is utilized. Take the numbers 4, 7, 9, and 10 as an illustration. The count of numerals is 4, and the sum of the numbers is 30. 30 divided by 4 equals 7.5, which is the numbers' arithmetic mean.
Here,
Given that there is a common difference between each word, this is an arithmetic sequence. In this instance, the following term is obtained by adding 9 to the phrase before it in the sequence.
Alternatively put,
=> an=a1+d(n−1)
.Arithmetic Sequence:
d=9
This is the formula of an arithmetic sequence.
=>an=a1+d(n−1)
Substitute in the values of
=> a1 =4 and
d=9
.=>an=4+9(n−1)
Simplify each term.
Tap for more steps...
an=4+9n−9
Subtract 9 from 4
an=9n−5
Thus 30th term :
=> a(30)=9(30)−5
=> a(30) = 265
Therefore , the solution of the given problem of arithmetic mean comes out to be a(30) = 265.
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The principal at a middle school gave a survey to randomly selected students, asking which activity of the after-school program they were attending.
A bar graph matching students with activities
1.
Choose the best answers.
If the middle school had 2,000 students, how many students out of the total student population would she have expected to participate in each of the following activities?
Take a picture of the graph then re- upload the question with the same words from this one. without it i cannot solve the problem and the whole math equation relies on that graph which isn't here
What ordered pair is a solution to the system of linear equations?
Solutions of a system of an equations are given with the values of the variables which make all the equations true in which a solution of a system of given two linear equations is represented in an ordered pair (x, y) as explained with example below:
An example of a system of two linear equations in an ordered pair , in order to show the two equations that are arranged together to form a system of equations in an linear form .
let , 2x + y = 7,
x- 2y = 6
A linear equation which consists of two variables, as 2x + y = 7, has an infinite number of solutions. in which the graph of a equation is a line. we know that every point on the line is a required solution to the equation and every solution of an equation is a point on the line.
To solve a system of two linear equations in an ordered pair , we want to find the values to particular variables that are solutions to both linear equations. In other words, we are expecting for the ordered pairs (x, y) that make both equations valid . These type of equations are known as solutions to a system of equations.
hence , the solutions of a system of equations are the values of the variables that make all the valid and obeyed equations are true. and solution of a system of two linear equations is represented always in an ordered pair (x, y) .
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What is the difference of the polynomials 5x 3 4x 2 )-( 6x 2 2x 9?
The Solving we get the difference of the given polynomials [tex](5x^{3} + 4x^{2} ) - (6x^{2} - 2x - 9)[/tex] as [tex]5x^{3} - 2x^{2} + 2x + 9[/tex] .
What is a Polynomial ?
The polynomial is defined as the expression that is composed of variables, constants and exponents, which are combined by using mathematical operations such as addition, subtraction, multiplication and division .
Based on number of terms present in polynomial , they can be classified as monomial, binomial, and trinomial .
For Example : [tex]3x^{2} +4x[/tex] .
The polynomial is given as : [tex](5x^{3} + 4x^{2} ) - (6x^{2} - 2x - 9)[/tex] ;
On simplifying the above given polynomial ,
we get ,
= [tex]5x^{3} + 4x^{2} - 6x^{2} + 2x + 9[/tex]
On subtracting the like terms together in above equation ,
we get ;
= [tex]5x^{3} - 2x^{2} + 2x + 9[/tex]
Therefore , the difference of the polynomials is (d) [tex]5x^{3} - 2x^{2} + 2x + 9[/tex] .
The given question is incomplete , the complete question is
What is the difference of the polynomials?
[tex](5x^{3} + 4x^{2} ) - (6x^{2} - 2x - 9)[/tex]
A. –x³ + 6x² + 9
B. –x³ + 2x² – 9
C. 5x³ – 2x² – 2x – 9
D. 5x³ – 2x² + 2x + 9
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What is the area of the shaded region in the archery target? Use 3.14 for pi.
Answer:
690.8 in^2
Step-by-step explanation:
First find the area of the three circles, by doing 3.14 r^2
With the innermost circle, 3.14 6^2 --> 113.04
With the second circle, 10 inches + 6 inches (inner circle radius), 3.14 16^2 --> 803.84.
With the outermost circle, you don't need it for the problem.
Then, we do subtraction to find the area of the shaded region, removing the "dount hole".
803.84 - 113.04 = 690.8 in^2
does the point (0,1) satisfy the equation y=5x
Answer:
no
Step-by-step explanation:
Substitute x = 0 into the equation and if the value is 1 ( the y- coordinate ), then it is a solution.
y = 5(0) = 0 ≠ 1
Then (0, 1 ) does not satisfy the equation
Answer:
No. y=5x means that y has to be 5 times x
e.g. (0,0), (1,5), (2,10), (3,15)
Please help..... and how u got the answer
Estimate the product. 313×418=
Select the correct answer.
Which expression is in simplest form?
A. 4x√2xy
B. 3a^2 √4b
C. c^3d √3d^3
D. 14s √st^2
PLEASW HELP MY GRADE IS A 71 IS F PLEASE HELP BRAINLY PLEASE HELP MEE
Answer:
The least value is 2
Q1 is 3
Median is 6
Q3 is 8
Greatest value is 10
IQR is 6
Range is 5
Step-by-step explanation:
Lines A and B are parallel
A
155°
3 4
B.
5 6
7 8
m27 = [ ? 1°
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
URGENT PLEASE HELP
SERIOUS ANSWERS ONLY
verify 2 csc (2x)=1+ tan^2 x / tan x
Step-by-step explanation:
L.H.s.
2csc2x2/sin2x2/(2sinxcosx)1/sinxcosx[sin²x+cos²x]/sinxcosxsin x/cosx +cosx/sinxtanx+cotxR.H.S.
1+ tan²x/tanx1+tanx1+sin x/cosx(cosx+sinx)/cosxpls help!!
solve the inequalities
1. x/-3 >_ 12
2. 2x/9-2>10
given the expression 1/4-3/5 select the addition problem that is equivalent to it
The expression (1/4 - 3/5) is equivalent to the following expressions -
(3/20 - 10/20) (13/20 - 1)(23/20 - 3/2)What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
(1/4 - 3/5)
The given expression is -
(1/4 - 3/5)
1/4 - 3/5
(5 - 12)/20
-7/20
We can write the fraction : -7/20 in many ways as given below -
-7/20 = (3/20 - 10/20) = (1/4 - 3/5)
-7/20 = (13/20 - 1) = (1/4 - 3/5)
-7/20 = (23/20 - 3/2) = 1/4 - 3/5)
Therefore, the expression (1/4 - 3/5) is equivalent to the following expressions -
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The ratio of surfers to swimmers at a beach is 1 to 5. The ratio of female swimmers to the total number of
swimmers is 4 to 15. If there are 60 female swimmers, how many surfers are there?
Answer:
57 surfers
Step-by-step explanation:
Use proportions to find the answer:
4/15 = 60/x to find amount of swimmers:
225 male swimmers
225+60 = 285 total swimmers
Find amount of surfers:
1/5 = x/285
57 surfers
Activity 3 Solve the following problems. Write your solutions on a separate sheet of paper {Show your solution) 1. A rectangular wrapping cloth has a length of 26 inches and a width of 24 inches. Two circular cloth with a diameter of 8 inches will be cut from it. How much cloth will be left? 2. How many square foot of tiles are needed to cover this kitchen floor?
Answer:
The answer is 512.
Step-by-step explanation:
You need to split the parts of the sheet into two parts to be able to multiply it correctly. Then you separately multiply the parts and then add them up in the end.
Someone please help me on this & I promise I’ll make sure you get points
The common factors and the greatest common integer for each pair of numbers are:
Common prime factors Greatest common factor
30, 45 3 and 5 5
40, 70 2 and 5 5
63, 42 3 and 7 7
81, 54 3 3
33, 99 3 and 11 11
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
30 and 45
3 x 5 x 2 = 30
3 x 3 x 5 = 45
Common prime factors = 3 and 5
Greatest common factor = 5
40 and 70
2 x 5 x 4 = 40
2 x 7 x 5 = 70
Common prime factors = 2 and 5
Greatest common factor = 5
63 and 42
3 x 3 x 7 = 63
2 x 3 x 7 = 42
Common prime factors = 3 and 7
Greatest common factor = 7
81 and 54
3 x 3 x 3 x 3 = 81
2 x 3 x 3 x 3 = 54
Common prime factors = 3
Greatest common factor = 3
33 and 99
3 x 11 = 33
3 x 3 x 11 = 99
Common prime factors = 3 and 11
Greatest common factor = 11
Thus,
Common prime factors are given above.
The greatest common factor is given above.
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