Use an integer to express the number representing a change.
From 2011 to 2012, attendance at a sports game went from 49,552 to 47,186, a decrease of 2,366
The integer is ?

Answer:

X has an infinite number of solutions

or

0 = 0

Step-by-step explanation:

Hey there!

Given,

523x = 523x

Simplify

523x = 523x

-523x to both sides

0 = 0

So x has an infinite number of solutions.

Hope this helps :)

Complete Question

The complete question is shown on the uploaded image  

Answer:

1 ) The correct option B

2) The correct option is  C

3)  The correct option is  C

4)  The correct option is  C

Step-by-step explanation:

From the question we are told that

   The proportion that own a cell phone  is  [tex]p = 0.90[/tex]

    The  sample  size is  n =  15

Generally the appropriate distribution for X is mathematically  represented as

      [tex]X \ is \ B( n , p )[/tex]

So  

       [tex]X \ is \ B( 15 , 0.90 )[/tex]

Generally the number students that  own a cell phone in a simple random sample of 15 students is mathematically represented as

              [tex]\mu = n * p[/tex]

              [tex]\mu = 15 * 0.90[/tex]

              [tex]\mu = 13.5[/tex]

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

                [tex]\sigma = \sqrt{ n * p * q }[/tex]

Where  q is mathematically evaluated as

          [tex]q = 1- p[/tex]

           [tex]q = 1- 0.90[/tex]

           [tex]q = 0.10[/tex]

            [tex]\sigma = \sqrt{ 15 * 0.90 * 0.10 }[/tex]

            [tex]\sigma = 1.16[/tex]

Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as

   [tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * p^{15} * q^{15 - 15}[/tex]    

     [tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}[/tex]

From the combination calculator  is      [tex]\left 15} \atop {}} \right.C_{15} = 1[/tex]

     [tex]P(X = 15) = 1 * 0.205891 * 1[/tex]

      [tex]P(X = 15) = 0.206[/tex]

The appropriate distribution for X is M(15, 0.9).

On average 1.345 students will own a cell phone in a simple random sample of 15 students.

The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.

The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.

Given that,

The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years.

It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university.

Assume that the proportion of students who own a cell phone at this university is the same as nationwide.

According to the question,

Let X = the number of students in the sample of 15 who own a cell phone.

1. The appropriate distribution for X is,

the sample size is n equals 15 and the proportion of the cell phone is 90% = 0.9.

The appropriate distribution for X is M(15, 0.9).

2. On average students will own a cell phone in a simple random sample of 15 students is,

[tex]\mu = n \times p\\\\\mu = 15 \times 0.9\\\\\mu = 1.345[/tex]

On average 1.345 students will own a cell phone in a simple random sample of 15 students.

3. The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is,

[tex]\rm \sigma = \sqrt{n \times p \times q}\\\\\sigma = \sqrt{n \times p \times (1-q)}\\\\\sigma = \sqrt{15 \times 0.9 \times (1-0.9)}\\\\\sigma = \sqrt{15 \times 0.9 \times 0.1}\\\\\sigma = 1.16[/tex]

The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.

4. The probability that all students in a simple random sample of 15 students own a cell phone is,

[tex]\rm P(X=15) = 15_C_{15} \times p^{15} \times q^{15-15}\\\\P(X=15) = 1 \times (0.90)^{15 }\times (0.10)^0\\\\P(X=15) = 1 \times 0.206\times 1\\\\P(X=15) = 0.206[/tex]

The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.

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Answer:

1/3 of the gas.

Step-by-step explanation:

1 - 1/2 = 1/2

1/3 - 3/3 = 2/3

2/3 ( 1/2 ) = 1/3

The amount of gas left with Jess is given by the equation A = 1/6 of the total gas

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of the gas be represented as A

Now , the equation will be

The amount of gas utilized by Jess on Friday = 1/2 of the initial gas

So , The amount of gas left on Friday = A - ( 1/2 ) A

On simplifying the equation , we get

The amount of gas left on Friday = ( 1/2 )A

Now ,

Amount of gas utilized by Jess on Saturday = ( 1/3 ) of the remaining gas

On simplifying the equation , we get

The remaining gas = ( 1/2 ) A - ( 1/3 ) A

So , the remaining amount of gas with Jess = ( 1/6 ) of the total gas

Hence , the equation is ( 1/6 ) of the total gas is remaining

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Evaluate f(9) + f(5)= 14f If I didn't answer Your Question fully than tell me please!

Answer:

Option C : P = $1040

Step-by-step explanation:

Using formula for continuous compounding, we have;

FV = Pe^(rt)

Where;

FV is the future value

P is the starting principal

r is the interest rate

t is time period

Now, from the question;

After 9 years, value is 1,866.79

Hence;

Pe^(9r) = 1,866.79 - - - eq1

Also, after 18 years;

Pe^(18r) = $3,350.87

Now, from exponential functions,

e^(4) can be written as (e^(2))²

Thus,in our case, e^(18r) can simply be written as (e^(9r))²

Thus, we can write Pe^(18r) = $3,350.87 as;

P(e^(9r))² = 3,350.87 - - - eq3

Thus, dividing eq 1 by eq 3 gives;

P(e^(9r))²/Pe^(9r) = 3350.87/1866.79

e^(9r) = 1.794990331

So;

In 1.794990331 = 9r

r = 0.585/9

r = 0.065

Putting this for r in equation 1 gives;

Pe^(9 × 0.065) = 1,866.79

1.795P = 1,866.79

P = 1866.79/1.795

P = $1040

Answer:

-8

Step-by-step explanation:

+-8 = -8

+-6 = -6

then:

4 + 2 + -8 + -6 = 4 + 2 - 8 - 6  =  6 - 14

= -8

Answer:

-8

Step-by-step explanation:

Therefore, the answer is -8.

Answer:

The answer is No, he's incorrect

Step-by-step explanation:

Because -5.0 is still -5 so therefore it makes -5.0 an integer

Answer:

Step-by-step explanation:

f(x) = 2x + 4

g(x) = 4x² + 1

In order to find (g ∘ f)(0) we must first find

(g ° f )(x)

To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

We have

Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)

We have

We have the final answer as

Hope this helps you

Answer:

47/21

Step-by-step explanation:

[tex]\frac{1}{3} + \frac{4}{7} \div \frac{3}{10} \\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{1}{3}+\frac{4}{7}\times \frac{10}{3}\\\\\frac{4}{7}\times \frac{10}{3}=\frac{40}{21}\\=\frac{1}{3}+\frac{40}{21}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}3,\:21:\quad 21\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{7}{21}+\frac{40}{21}\\\\=\frac{7+40}{21}\\\\=\frac{47}{21}[/tex]

Answer:

Cost price= Rs. 15

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Qualitative variable.

See explanation below.

Step-by-step explanation:

In research we have two types of variables: the quantitative and the qualitative variables.

In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.

Answer:

8

Step-by-step explanation:

So we have the expression:

[tex](-\frac{11}{2}x+3)-2(-\frac{11}{4}x-\frac{5}{2})[/tex]

First, distribute the right:

[tex]=(-\frac{11}{2}x+3)+(\frac{11}{2}x+5)[/tex]

Combine like terms:

[tex]=(-\frac{11}{2}x+\frac{11}{2}x)+(3+5)[/tex]

The fractions will cancel:

[tex]=3+5[/tex]

Add:

[tex]=8[/tex]

Our answer is 8 :)

Answer:

8

Step-by-step explanation:

Answer:

afdgdfdf

Step-by-step explanation:

Answer:

its going up by 1 each time theres a new number so next youll multiply 4 by 120 which is 480

Step-by-step explanation:

Answer:

Step-by-step explanation:

Actually, -13 can be classified as any and all of these.

Answer:-13 would be considered a rational number :)

Step-by-step explanation:

Only positive numbers are considered as whole numbers, so we know that that is not a correct option, and an integer is any number that is not either a decimal or a fraction. Hope this helps :)

Answer:

B.  2x² + x² + x = 30

D.  9x + 3x² = 14 + x - 1

Step-by-step explanation:

2x² + x² + x = 30

simplify

3x² + x - 30 = 0

x can be solve using quadratic equations

x = 3    and x = -10/3

so the answer is B

9x + 3x² = 14 + x - 1

simplify

3x² + 8x - 13 =0

x can be solve using quadratic equations

so the answer is D

Note: options A and C do not qualify for quadratic equation

The solution is Option B , Option D.

The set of quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

a)

2x² + x² + x = 30   be equation (1)

On simplifying the equation , we get

3x² + x = 30

Subtracting 30 on both sides of the equation , we get

3x² + x - 30 = 0

Now , on factorizing the equation , we get

x = 3 and x = -10/3

b)

9x + 3x² = 14 + x -1   be equation (1)

On simplifying the equation , we get

Subtracting x on both sides of the equation , we get

3x² + 8x = 13

Subtracting 13 on both sides of the equation , we get

3x² + 8x - 13 = 0

Now , on factorizing the equation , we get

x = ( -4/3 ) ± ( √55/3 )

Hence ,

The quadratic equations are 2x² + x² + x = 30 and 9x + 3x² = 14 + x -1

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Answer:

Square: 484 Square root: 4.690

Answer:

a+b=C

Step-by-step explanation:

because a b c  

Answer:

(1/2)(3v+28)

Step-by-step explanation:

of= multiply

sum= add

Could it be (3v +28)/2

Answer:

60 maths books

Step-by-step explanation:

Let the following be:

And we have ratios and sum:

From the ratios we get:

Considering the above in the sum of books:

Number of maths books:

Answer:

5,267

Step-by-step explanation:

Five thousand: 5,000

Two hundred: 200

Sixty: 60

Seven: 7

Put them together: 5,267

Five thousand two hundred sixty-seven in standard form is 5,267.

Standard form is the way of written down number in simplest form.

Five thousand=5,000

Two hundred=200

Sixty=60

Seven=7

Hence:

Standard form=5,000+200+60+7

Standard form=5,267

Inconclusion five thousand two hundred sixty-seven in standard form is 5,267.

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Answer:

Kathy = J - 5 cm

Step-by-step explanation:

Jo = 5 + Kathy

Jo = J

Kathy = K

=> J = 5 + K

=> J - 5 = 5 - 5 + K

=> J - 5 = K

=> K = J - 5

So, Kathy's height is J - 5 cm

Answer:

True

Step-by-step explanation:

1000 grams = 1 kilogram

Answer:

1,249 cm or 12.49

Whichever one it asks for

Step-by-step explanation:

First, we need to convert all of the m to cm.

4.04 m = 404 cm

1.6 m = 160 cm

2.87 m = 287 cm

Next, add them all up.

325 + 404 + 73 + 160 + 287 =

1,249 cm

If it asks to convert to m again, then the answer would be 12.49 m

Hope this helps!!!

Answer:

1,249 cm (or) 12.49 m

Step-by-step explanation:

1m = 100cm

4.04m = 404cm

1.6m = 160 cm

2.87m = 287 cm

So, 325 + 404 + 73 + 160 + 287 = 1,249 cm

If u want the answer in meters, [tex]\frac{1249}{100}[/tex]

So, it will be 12.49 m

Making the value of 'a' smaller, but still positive, will make the graph be compressed vertically.

Let's say a = 1 is the initial value. If we update it to a = 0.5, then the graph will be half as tall as it used to be, so it's compressed by a factor of 1/0.5 = 2.

The value of b determines the period of the sinusoidal function.

Answer:

Factor to this equation out, the easiest way is to solve for the two x values that add up to -1 but when multiplied is equal to -6. It should look like this: (x +- ?)(x +- ?).

The factored out form is then (x - 3)(x +2), because -3 + 2 = -1 and when multiplied together gives -6.

x - 3 = 0

x = 3

x + 2 = 0

x = -2

The two solutions are therefore, x = 3 and x = -2.

Answer:

w = p/2 - l

Step-by-step explanation:

When a question asks to be solved by a variable it means to get that variable on one side.

To do this lets first divide each side by 2 making the equation now ...

(l + w) = p/2

Now all we have to do is subtract l on both sides. Now we know that

w = p/2 - l

Answer:

1) [tex]50=2(x+5)+2(x)[/tex]

2) [tex]x=10[/tex]

3) [tex]15\text{ units}[/tex]

Step-by-step explanation:

So we know that the perimeter of the rectangle is 50.

The formula for the perimeter of a rectangle is given by:

[tex]P=2l+2w[/tex]

Where l is the length and w is the width.

The length is (x+5) and the width is (x).

Thus, substitute (x+5) for l and (x) for w. Also substitute 50 for P. Therefore:

[tex]50=2(x+5)+2(x)[/tex]

And that's our equation.

To solve, first distribute:

[tex]50=2x+10+2x[/tex]

Combine like terms:

[tex]50=4x+10[/tex]

Subtract 10 from both sides:

[tex]40=4x[/tex]

Divide everything by 4:

[tex]x=10[/tex]

So, the value of x is 10.

The length is the longer side. Thus, it is (x+5).

We now know that x is 10, substitute:

[tex]x+5\\=(10)+5\\=15[/tex]

So, the length is 15 units.

Answer:

Below

Step-by-step explanation:

The perimeter of a rectangle is the sum of its 4 sides.

Let P be the perimeter

● P = x + (x+5) + x + (x+5)

● P = x+x+x+x+5+5

The perimeter is 50 units

● 50 = 4x +10

So this the equation that would model how to find x.

Let's solve it

● 4x + 10 = 50

Substract 10 from both sides

● 4x + 10 - 10 = 50-10

● 4x = 40

Divide both sides by 4

● 4x/4 = 40/4

● x = 10

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's find the length.

The length is x+5

Replace x by 10 to find the value of the length.

● 10 + 5 = 15

So the length is 15 units