8,998.1 The 9 in the hundreds place is _____ the value of the 9 in the tens place.
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"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.

Since x represents the smaller of the two numbers,

Thus the larger number will be 26 - x

The expression asked above will be:

=> 5 + larger number - 2 * smaller number

=> 5 + 26 - x - 2 * x

=> 31 -3x

therefore,  "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

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Answer:

125

Step-by-step explanation:

All the work is in picture attat

The scatter plot shows a [positive linear] association.

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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Angle 4 and angle 6 are supplementary to each other.

Given : the two line r and s are parallel to each other and there are two transversals

And thus angle 6 and angle 4 are equal because angles corresponding angles are equal. This is because of a theorem which states that angles on the same side of the two parallel lines are equal .

And this further implies that the angle adjacent to angle 4 and angle form will form an angle whose sum would be equal to 180 degree. That is they will form a supplementary angle .

And this angle and angle 1 are equal because these two angles are corresponding angles and as mentioned above because of that theorem they are equal.

Thus from these two above mentioned arguments it is clear that angle 4 and angle 6 are supplementary angles .

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Answer:

It is true that the ladders would reach the top of the building.

Step-by-step explanation:

295 x 12 = 3540

3540 > 1453

The correct equation of the circle is (x - 2)² + (y + 1)² = 37,

Which is not given in the option .

In the given circle,

The coordinate of center is at (2, -1)

And X intercept of circle is at (8,0)

Since we know that,

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ [(x₂ - x₁)² + (y₂ - y₁)²]

Since the distance between the center and the x intercept is nothing but radius of circle,

Therefore,

Radius = r = √ [(8 - 2)² + (0 + 1)²]

                = √ [(8 - 2)² + (0 + 1)]²

                =  √37

Since we know that,

Equation of circle having center (a, b) and radius r.

(x - a)² + (y - b)² = r²

Hence the equation of  circle be,

⇒ (x - 2)² + (y + 1)² = (√37)²

⇒ (x - 2)² + (y + 1)² = 37

This is the equation of circle.

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Answer:

From the graph,

it is clear that the slope and y-intercept  have been changed.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the equation of a line

y = 7x + 3

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 7

y-intercept  = b = 3

Now, the equation changed to y = 2x + 6

y = 2x + 6

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 2

y-intercept  = b = 6

Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.

The lines of both equations is also attached.

From the graph,

it is clear that the slope and y-intercept  have been changed.

The given figure is a parallelogram. The formula for determining the area of a parallelogram is expressed as

Area = base * height

From the diagram,

base = 9 inches

height = 3 inches

Area = 9 * 3 = 27 in^2

The correct option is D

Answer:

i) Mean = 1933.1817

ii) Range = 5684

iii) Third quartile = 6054

Step-by-step explanation:

Given data :

currency exchange rate : 1 AUD = 5.8 HKD

cost of each ounce = 2 AUD

Fixed shipping cost for each carton = 80 HKD

number of cartons = 20

next determine the total cost of the 20 cartons in HKD

= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost

= ∑ ( 160*2*5.8 + 80 )  + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )

= 81756 HKD

i) find the mean value ( X )

= Total cost / number of cartons

= 81756 / 20 = 4087.8

ii) Find the standard deviation

= \(\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }\)      note: std =  √∑(xi-X )^2 / (n-1)

= 1933.1817

iii) Find the range

Range = highest cost - lowest cost   ( values gotten from equation 1 )

           = 7650 - 1936

           = 5684

iv) Determine the third quartile

third quartile = 6054

attached below is the detailed solution

(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.

(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:

P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5

Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.

(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:

f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1

Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).

(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:

P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)

We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:

∫[0,1/8] 24xy dx = 27/128

To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:

∫[0,1/4] 24xy dx = 3

Thusly, the contingent Probability is:

P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128

(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:

P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx

= 7/36

Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36

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The complete question is:

A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.

The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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The power 2 (or exponent 2) is the inverse of the square root:

√x*√x = (√x)² = x

The square root of a number X, gives a number Y such that the product between Y and itself is equal to X, this means that:

if:

√x = y

Then:

y*y  = x

So we could write:

√x*√x = (√x)² = x

So the exponent 2 is the inverse of the square root.

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

The table representing the exact values of y from the function is attached below.

In mathematics, a function from a set X to a set Y assigns each element of X exactly one element of Y. The sets X and Y are referred to as the function's domain and codomain, respectively.

The given function is of the form y = 2x .

Now let us find the respective values of y for the given values of x.

At x = -2

y = 2x = 2 × (-2) = -4

At x = -1

y = 2x = 2 × (-1) = -2

At x = 0

y = 2x = 2 × (0) = 0

At x = 1

y = 2x = 2 × (1) = 2

At x = -2

y = 2x = 2 × (2) = 4

Therefore the table to represent this y-values of the function is \(\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}\)\(\begin{table}[]\begin{tabular}{ll} & \\ & \\ & \\ & \\ & \end{tabular}\end{table}\)attached below.

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Therefore, x³ must be even. Therefore, if -z is irrational, then z must also be irrational.

In mathematics, an integer is a whole number that can be either positive, negative, or zero. It can be written without a fractional or decimal component. Some examples of integers are -3, -2, -1, 0, 1, 2, 3. Integers are used in many different areas of mathematics, including number theory, algebra, and geometry. They are a fundamental concept in mathematics and have many important properties, such as the ability to add, subtract, and multiply them.

Here,

Proof of "x³ is even if and only if x is even":

First, assume that x is even. Then x can be written as x = 2k for some integer k. Substituting this into x³, we get:

x³ = (2k)³ = 8k³ = 2(4k³)

Since 4k³ is an integer, this shows that x³ is even.

Now, assume that x³ is even. This means that x³ is divisible by 2. We can write x³ as x³ = 2m for some integer m. Taking the cube root of both sides, we get:

x = (2m)*(1/3)

If x is an integer, then (2m)*(1/3) must also be an integer. However, the only way for the cube root of an even number to be an integer is if the original number is even. Therefore, x must be even.

Proof of "z is irrational if and only if -z is irrational":

First, assume that z is irrational. By definition, this means that z cannot be expressed as the ratio of two integers. Now suppose that -z is rational. This means that -z can be expressed as the ratio of two integers, say -z = p/q, where p and q are integers and q is not equal to 0. Multiplying both sides of the equation by -1, we get:

z = -p/q

This shows that z can be expressed as the ratio of two integers, which contradicts our assumption that z is irrational. Therefore, if z is irrational, then -z must also be irrational.

Now, assume that -z is irrational. By definition, this means that -z cannot be expressed as the ratio of two integers. We can rewrite this as z = (-1)(-z), which means that z is the product of -1 and a number that is not the ratio of two integers. Multiplying a number by -1 does not change its irrationality, so z must also be irrational. Therefore, if -z is irrational, then z must also be irrational.

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Answer:

-26042

Step-by-step explanation:

sum of a finite geometric series =

\(\frac{a_1(1-r^n)}{1-r}\)

here, a1 is the first term, r is the common ratio, and n is the number of terms

a1 = -2

r = -5

n = 7

\(\frac{a_1(1-r^n)}{1-r} = \frac{-2(1-(-5)^7)}{1-(-5)} = -26042\)

Answer:

34

Step-by-step explanation:

8 x 5 is 40

2 x 3 is 6

40-6 is 34

isnt that right?

Answer:

Answer below

Step-by-step explanation:

1/8 is correct

in pic

_________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer: yes

Step-by-step explanation:

The principal if the bank manager also wants to advertise that one can earn $10 the first month is $4000.

From the information, the simple interest is $10 and the rate is illustrated as 3%.

The formula for the simple interest in a month is illustrated as:

S = (p × r × t/12 / 100)

r = rate

t = time

S = interest

Place the values in the formula:

10 = p × 3 × 1 / 100 × 12

10 = 3p/1200

Cross multiply

3p = 12000

Divide

p = 12000/3

p = 4000

The principal is $4000.

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Explanation:

This problem is a simple percent chage problem. The absoluge change in price was $12−$8=$4. Relative to the original price, it was 412, which is 0.3333 or 33.33%.

Answer:

y=-1.5x-10

Step-by-step explanation:

standard form is y=mx+b m here is -1.5 -1.5*-4=6 6-10=-4

y=-1.5x-10

Answer:

x = 7, y = 45

Step-by-step explanation:

\(7x+13=6x+20\)

\(x=20-13\\x=7\)

Angle

\(7(7)+13=49+13=62^{0}\)

supplementary angle

180 - 62 = 118°

\(3y-17=118\)

\(y=\frac{118+17}{3} =135/3=45\)

Hope this helps

Answer:

i think it's -1 / -1

nut i'm not sure so if its wrong then sorry , and don't thank's me...

Answer:

yesss

Step-by-step explanation: