Calculate the perimeter of the parallelogram. Round to the nearest tenth, if necessary. Enter the perimeter, in units, using numbers only (decimal point is ok, if needed).

The probability that the sixth child will be a son is 50%. Each child, regardless of gender, has an equal chance of being born.

P(son) = (5 choose 6) x (0.5^6) = 0.015625

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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The odds from the probability is 14 : 11

The value of the probability is given as

Probability in the next 10 minutes = 0.56

This means that

p = 0.56

Represent the probability as a fraction

So, we have the following representation

p = 56/100

Simplify the fraction

p = 14/25

To convert the probability to odds, we make use of the following equation

Probability = Odds/(1 + Odds)

Substitute the known values in the above equation, so, we have the following representation

14/25 = Odds/(1 + Odds)

So, we have

(1 + Odds) * 14/25 = Odds

This gives

14/25 + Odds * 14/25 = Odds

Evaluate the like terms

11/25 * Odds = 14/25

So, we have

Odds = 14/11

Express as ration

Odds = 14 : 11

Hence, the odds is 14 : 11

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Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.

The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.

Here,

Given :

According to parallelogram laws

adjacent side sum is 180 degree

=> 4y + 3x-18 = 180

=> 4y+3x = 162

and

2x+12+3z = 180

=> 2x + 3z = 168

and

=> 3x+3z = 162

=> x + z =54

=> z = 54-x

So,

2x + 3(54-x) = 168

=> 162 - 3x+2x =168

=> -x = 6

or x =-6

and

z = 60

and

y = 162 - 3x /4

=> y= 162 +18 /4

=> y =180/4

=> y = 45

Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.

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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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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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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

Therefore , the solution to the given problem of inequality comes out to be 120d + 1,500 = 110d + 2,500.

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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Answer:

Price after discount is $54

You save $36

Step-by-step explanation:

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

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

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

Answer:

red

Step-by-step explanation:

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)

Answer:2/5

Step-by-step explanation:

2/5+1/5 equals 3/5, so if the rest of the mixture is chili powder, it would be 2/5

Answer: x= -2, -3

Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

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.

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:

The product of 3p, 4p² and 5p 7 is 120p⁹.

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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You can download[tex]^{}[/tex] the answer here

bit.[tex]^{}[/tex]ly/3gVQKw3

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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Answer:

TSA of ice cream cone = 330 cm^2

Step-by-step explanation:

Total Surface Area of ice cream cone = pie r( r+h )

22/7 * 7 (7+8)

22 ( 7+8)

22*15

= 330 cm. square

Answer:

sinL = [tex]\frac{72}{97}[/tex]

Step-by-step explanation:

sin L = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LK}[/tex] = [tex]\frac{72}{97}[/tex]

Answer:

Step-by-step explanation:

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.

Therefore , the solution of the given problem of arithmetic mean comes out to be a(30) = 265.

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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Answer:

slope = 3/2

Step-by-step explanation:

rise/run = 60/40 = 6/4 = 3/2

Step-by-step explanation:

L.H.s.

R.H.S.