Solve y = x + 6 for x.
Ox = y + 6
Ox= -y + 6
O x = y - 6
Ox= -y-6

Let x,y be the two numbers.

Given that one number is 8 greater than another.

Let x be the smaller number ans y be the greater number.

That is y=x+8. Let this be the first equation.

And also given that product of the two numbers is 84.

That is x × y = 84, let us plugin y=x+8 here.

x × (x+8) = 84

x²+ 8x -84 = 0.

x²+12x-4x-84 = 0

x(x+12)-4(x+12) =0

(x-4)(x+12)=0

That is x= 4 or -12.

Hence two positive numbers corresponding to given conditions are 4,12.

And two negative numbers corresponding to given conditions are -12,-4.

Step-by-step explanation:

hope it may help you!!

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Answer:

A) P ( chicken is small ) = 0.3085,  P ( chicken is medium ) = 0.6621

   P (chicken is large ) = 0.0294

B) C = 3.9233

C) 0.1404

Step-by-step explanation:

A) Probabilities

i) P ( chicken is small )

 P( w ≤ 3.5 ) = Fw ( 3 .5 )

                    = F ( 3.5 - 3.8 / 0.6 )

                    = F ( -0.5 ) = 1 - F( 0.5 ) [∵ F(-x) 1 - F(x) ]

                    = 1 - 0.6915 ( from Table )

                    = 0.3085

ii) P ( chicken is medium )

  P ( 3.5 < w < 4.9 )

  P ( w < 4.9 ) - P ( w < 3.5 )

= Fw ( 4.9 ) - Fw ( 3.5 )

= F ( 4.9 - 3.8 / 0.6 ) - 0.3085

= 0.9706 - 0.3085 = 0.6621  

iii) P (chicken is large )

= P ( w > 4.9 )

= 1 - P ( w < 4.9 )

= 1 - Fw ( 4.9 ) = 1 - 0.9706 = 0.0294

B) Find c

Given:  P( w < c ) = 0.6

Fw ( c ) = 0.6

F ( c - 3.8 / 0.6 ) = 0.6

c - 3.8 / 0.6 = 0.2055 ( from table )

∴C = 3.9233

C) P ( 3 out of 5 = small )

P ( 3 of 5 = small ) = 0.1404

attached below is a detailed solution

Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

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Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.

While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.

What is an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

What is an example of an exponential equation?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.

Answer:

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]

What is the probability that a household in Maryland has an annual income of X or more?

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.

Answer:

There was a 45% increase in furniture sales.

Furniture sales rose by 9 percentage points.

Step-by-step explanation:

absolute difference = new - old

29-20= 9 percentage points

absolute difference / initial value = 9/20 = .45 * 100 = 45%

Two statements which are true about furniture sales are  [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and  [tex](f)[/tex]  Furniture sales rose by [tex]9[/tex] percentage points.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage [tex]=\frac{Obtained\ number}{Total\ number}\ * 100[/tex]

We have,

Sales of furniture in [tex]2015=20\%[/tex]

Sales of furniture in [tex]2016=29\%[/tex],

So,

Change in Percentage [tex]=29-20=9\%[/tex]

i.e.

Sales rise by [tex]9\%[/tex] points,

And,

Increase in Percentage [tex]=\frac{9}{20}\ *100=45\%[/tex]

Hence, we can say that Two statements which are true about furniture sales are [tex](a)[/tex] There was a [tex]45\%[/tex] increase in furniture sales and [tex](f)[/tex] Furniture sales rose by [tex]9[/tex] percentage points.

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Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful...

Answer:

C

Step-by-step explanation:

Try it.

Answer:Its B or C

Step-by-step explanation:I expain it so A is wrong ebcause 3 times 20 is 60 and since x is 14 that measn 14 times 3 is 42 so 60 minus 42 is not 44 but 18.C is wrong becasue 2 times 14 is 28 and 2 times 3 is 6 so if u subract you get 22 and D is worng because 14 minus 3 isnt 22.

Answer:

18

Step-by-step explanation:

make 11 1/4 into improper fraction > 45/4

multiply by 2 so it has same denominator > 90/8

90/8 divided by 5/8 = 18

Answer:

18 binder clips

Step-by-step explanation:

The question basically asks, how many 5/8 inch binder clips can you add to get 11 1/4 inches.

To get the answer, you simply divide 5/8 by 11 1/4.

To divide first convert 11 1/4 to an improper fraction. To get an improper fraction you multiply the denominator by the whole number and then add the numerator. Here it would be (11*4)+1= 45 so 11 1/4 as a mixed fraction would be 45/4.

Now you can divide.

[tex]\frac{45}{4} / \frac{5}{8}[/tex]

To divide, use the chant, "keep, change, flip". Keep the 45/4, change the division to multiplication, and flip the 5/8.

You would get this:

[tex]\frac{45}{4} *\frac{8}{5}[/tex]

There are multiple ways to solve now. You can just multiply the numerator and then the denominators to get 360/20 and simplify to get 18 OR you can cross multiply and change the 45 to 9 because 45/5 is 9 and change the 8 to 2 because 8/4 is 2 and then multiply 9 by 2 to also get 18.

I hope it helps!

Answer:

12

Step-by-step explanation:

Just substitute 3 for n and solve.

Solve the expression [tex]2+(3-1)5\\[/tex]

Use PEMDAS and solve.

(3-1) = 2 so it becomes 2 + (2)5

Then multiply 2 and 5 to get 10.

Then add 2 so you get 12.

[tex]a_{3}[/tex]=12

Answer:

60 square meters

Step-by-step explanation:

Answer:

equation: y = 4x-12

slope: 4

y-intercept: -12

Step-by-step explanation:

3 points across an x-axis is +1 x-axis difference and +4 y-axis away from origin, so you have to subtract 3 by 1 andsubtract y by 4. until x is 0, you get -12 on y-axis

Answer:

The answer is option A.

:)))))))

Answer:

D

Step-by-step explanation:

you just add it all up 10+6+8

Answer:

volume of the prism=8×6×10

=480 in²

Answer:

Exponent form

[tex] {6}^{5} [/tex]

Answer:

6^5

Step-by-step explanation:

6 x 6 x 6 x 6 x 6

There are 5 6's multiplied together

The base is 6 and the power is 5

6^5

Answer: x = 9

Step-by-step explanation: your welcome

Answer:

x=9

Step-by-step explanation:

9-3(x-6)=2(x-4)-10

9-3x+18=2x-8-10

9-3x+18=2x-18

9+3x+18=+3x-18

9+18=5x-18

9+18=5x+18

45=5x/5

45/5 = x

9=x

9514 1404 393

Answer:

  a) MBE; b) EBY; c) MBY; d) MBE; e) YME; f) XEW; g) EBM, EBY; h) EBY, EBM

Step-by-step explanation:

There are many choices here. We'll use choices that make as much use as possible of the same points and segments.

a) ∠MBE is an acute angle

b) ∠EBY is an obtuse angle

c) ∠MBY is a straight angle

d) ∠MBE is an angle with vertex B

e) ∠YME is an angle with side MY

f) ∠XEW is another name for ∠BER

g) ∠EBM and ∠EBY are adjacent angles

h) ∠EBY and ∠EBM are supplementary angles

__

Additional comments

An acute angle measures less than 90°; an obtuse angle measures more than 90°. A straight angle measures exactly 180°. A linear pair is a pair of adjacent angles that together measure 180°. That is, they are supplementary and combine to make a straight angle. (Supplementary angles only need to have a sum that is 180°. They do not need to be a linear pair. However, in a figure like this, where angle measures are not marked, angles are guaranteed to be supplementary only if they are a linear pair.)

serian 144 apretones de manos en total

Answer:

66

Step-by-step explanation:

hope it helps :)

Answer:

60%

Step-by-step explanation:

is it FLVS right?

i hope this is right

enjoy

Answer:

a) 2/3

b) 1/2

c) 1/6

Step-by-step explanation:

2 white balls + 3 red balls + 1 black ball = 6 balls all together so then you do the number of balls over 6

Answer:

P( not white )  =2/3

P ( red)= 1/2

P( black)  = 1/6

Step-by-step explanation:

2 white balls, 3 red balls and a black ball. = 6 balls

P( not white )  = number of balls not white / total = 4/6 =2/3

P ( red) = number of balls that are red/ total = 3/6 = 1/2

P( black) = number of balls that are black/ total = 1/6

_________

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Using grammatical signals in developing patterns of ideas can be like a zipper because it zips our ideas or combined some information.

Grammatical signals are writing devices that serve to maintain text coherence. The short story is one of the written mediums where we can find these signals.

Important's of Grammatical signals

Grammatical signals are important because they signal relationships between sentences using backreference through the use of pronominal forms, determiners, repetition of keywords, synonyms, and superordination.

In short, they signal the relationship between new sentences and the one before them and they are also important writing devices in text construction.

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Answer:

x=1

y=-1

Step-by-step explanation:

Answer:

x = 1

y = -1

Step-by-step explanation:

[tex]x = 2x - 1 \\ 1 = 2x - x \\ 1 = x \\ x = 1 \\ [/tex]

[tex]y = 3y + 2 \\ - 2 = 3y - y \\ - 2 = 2y \\ \frac{ - 2}{2} = y \\ - 1 = y \\ y = - 1 \\ [/tex]

Answer:

In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.

bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.

but,

Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.

Answer:

a=g/q2+m

Step-by-step explanation:Let's solve for a.

ma+q2a=g

Step 1: Factor out variable a.

a(q2+m)=g

Step 2: Divide both sides by q^2+m.

a(q2+m)

q2+m

=

g

q2+m

a=

g

q2+m

Answer:

16%

Step-by-step explanation:

100%-45%=55%

60%-21%=39%

55%-39%=16%

the total Centerville population are males who do NOT commute to work daily is 16%.

The percentage of Centerville population of males do not commute to work is 16%.

Given that, in Centerville, 45% of the population is female, and 60% of the population commutes to work daily.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The total Centerville population, 21% are females who commute to work daily.

Now, the percentage of Centerville population of males commute to work = 60 - 21

= 39%

Total percentage of male = 100 - 45 =55

The percentage of Centerville population of males do not commute to work

= 55 - 39 = 16%

Therefore, the percentage of Centerville population of males do not commute to work is 16%.

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Given:

Consider the given function:

[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}[/tex]

To prove:

[tex]f(a)+f(b)=f(a+b)[/tex]

Solution:

We have,

[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}[/tex]

Substituting [tex]x=a[/tex], we get

[tex]f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}[/tex]

[tex]f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}[/tex]

[tex]f(a)=0+a[/tex]

[tex]f(a)=a[/tex]

Substituting [tex]x=b[/tex], we get

[tex]f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}[/tex]

[tex]f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}[/tex]

[tex]f(b)=b+0[/tex]

[tex]f(b)=b[/tex]

Substituting [tex]x=a+b[/tex], we get

[tex]f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}[/tex]

[tex]f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}[/tex]

[tex]f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}[/tex]

[tex]f(a+b)=\dfrac{b^2-a^2}{b-a}[/tex]

Using the algebraic formula, we get

[tex]f(a+b)=\dfrac{(b-a)(b+a)}{b-a}[/tex]          [tex][\because b^2-a^2=(b-a)(b+a)][/tex]

[tex]f(a+b)=b+a[/tex]

[tex]f(a+b)=a+b[/tex]               [Commutative property of addition]

Now,

[tex]LHS=f(a)+f(b)[/tex]

[tex]LHS=a+b[/tex]

[tex]LHS=f(a+b)[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

Answer:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

hope this helps

have a good day :)

Step-by-step explanation: