Is the value of 8 in 345,802 ten times greater or smaller than the value of 8 in 758,910

Answer: x=-9

Step-by-step explanation:

I was wrong originally looked again and here we are me questioning my existence as human being and the other person is right of x= -9. I used desmos took m advice and just plugged in the \(\sqrt[5]{32}x^{5}\) and made it equal to \(\sqrt[5]{(3x+9)^5}\) by writing them as seperate equation on desmos and they collide on the point  (-9, -18) which proves the other person work

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the following :

Single policy holders (n1) = 900

Number making claims (x1) = 135

Married Policy holders (n2) = 400

Number making claims (x2) = 24

α = 0.05

a. Use a level of significance α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.

Null: p1 - p2 = 0

Alternative : p1 - p2 ≠ 0

p = (n1p1 + n2p2) / n1 + n2 ;

p1 = x1/n1 = 135 / 900 = 0.15

p2 = x2/n2 = 24 / 400 = 0.06

p = (900*0.15 + 400*0.06) / (900 + 400)

p = 0.1223076

Test statistic (z):

(p1 - p2) / √p(1-p)(1/n1 + 1/n2)

(0.15 - 0.06) / √0.12231(1-0.12231)(1/900 + 1/400)

= 4.5710979

Decision:

Reject Null if P < α

Obtaining p value from z score using calculator :

P value = 0.0001

0.0001 < 0.05

Hence,

Reject Null

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reason:

1 pound = 0.45 kg approximately

12*(1 pound) = 12*(0.45 kg)

12 pounds = 5.4 kg approximately

The baby weighs about 5.4 kg while the watermelon weighs 7.5 kg. The watermelon weighs more.

Answer:

(48, 3), (80, 5), (160, 10)

well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.

now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)

Answer:

a) 2x + y =12, x = 9-2y. Solution: x=5 and y=2

b) x + 3y=16, 2x - y = 11

Solution: x = 7 and y= 3

c) 2x+ y = 11, x - 2y = - 7. Solution: x = 3 and y=5

d) y=11-2x, 4x - 3y=-11

Solution: x=2 and y=7

Step-by-step explanation:

a) 2x + y = 12

b) x = 9-2y

Substitution:

a) 2(9-2y)+y = 12

18 - 4y + y = 12

18-12 = 4y -y

6 = 3y

6/3 = y

y = 2 and

X = 9 - 2(2) = 5

Answer:

a) $299.60

b) $337.05

c) Nicole would pay more at the store

Step-by-step explanation:

a) 10% of $749 = $74.90

60% = ($74.90 x 6) = $449.40

$749 - $449.40 = $299.60

b) 10% = $74.90

50% = $374.50

$749 - $374.50 = $374.50

10% of $374.50 = $37.45

$374.50 - $37.45 = $337.05

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

Answer:

The picture attached shows the graph. The y-intercept is -2 and it increases by 2. Hope this helps.

Step-by-step explanation:

The incircle centered at point P has a radius of 7 units.

Here given that,

PA = 12 units.

PZ = 7 units

The complete question is :

"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

The radius of the incircle centered at point P is ? units."

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2 hours=160

1 hours=160÷2=80

30 minutes=80÷2=40

Answer:She can paste 40 stamps in 30 minutes

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Wouldn't the answer be any number which has the hundredths place as a 5? For example, 23,521.

As 50 x 10 = 500 and the 5 in 23,521 represents 500.

The interest rate of $9000 and $6000 investment are 3.5% and 3% respectively.

let's assume the interest rates X and Y on $9,000 and $6,000 investments.

The $9000 is invested at an interest rate that is 0.5% higher than the $6000.

Therefore,

9000(X) = 6000(Y) + 135

X = Y + 0.005

In canonical form:

9000X - 6000Y = 135

X - Y = 0.005

or X = 0.005 + Y

Then,

9000( 0.005 + Y) - 6000Y = 135

Then Y = 0.3 , therefore X = 0.3

So, X = 3.5% (the rate on $9,000 investment) and;

Y = 3% (the rate on $6,000 investment).

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Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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Answer:

It would be C

Step-by-step explanation:

I have done this before!

Therefore, a sharpening costs Dollar 1.85.

The US, Canada, Australia, and some nations in the Pacific, Caribbean, Southeast Asia, Africa, and South America all use the dollar as their primary unit of exchange. The word "$" is used to denote it.

Let's use $a for the sharpener's price. We can state that the price of a book is $a + 1.95 because it costs $1.95 more than a sharpening.

We are aware of the $26.10 total cost of 10 sharpeners and 2 books. This can be expressed as an equation:

10a + 2(a + 1.95) = 26.10

If we simplify this equation, we get:

12a + 3.90 = 26.10

3.90 less from each side results in:

12a = 22.20

By multiplying both sides by 12, you get:

a = 1.85

Therefore, a sharpening costs $1.85.

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Answer:

16 11/20

Step-by-step explanation:

5 3/4 = (4 x 5 + 3)/4 = 23/4 kg

3 1/5 = (5 x 3 + 1)/5 = 16/5 kg

7 3/5 = (5 x 7 + 3)/5 = 38/5 kg

23/4 + 16/5 + 38/5

23/4 = (23/4) x (5/5) = 115/20

16/5 = (16/5) x (4/4) = 64/20

38/5 = (38/5) x (4/4) = 152/20

115/20 + 64/20 + 152/20 = 331/20 kg

331/20 = 16 11/20

Answer:

(x + 5) and (x -1)

Step-by-step explanation:

Given

The attached graph

Required

The \(factors\) of the graph

The x \(values\) are where the \(curve\) \(touches\) the x-axis

The first is at:

\(x = -5\)

Add 5 to both sides

\(x +5= -5+5\)

\(x +5= 0\)

This implies that the first factor is: (x + 5)

The second is at:

\(x =1\)

Subtract 1 from both sides

\(x - 1 = 1 - 1\)

\(x - 1 = 0\)

This implies that the other factor is: (x - 1)

The equation relating temperature and time is given by 3y = -10x + 130

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the temperature be represented as y

Let the time be represented as x

Now , let the first point be P = P ( 1 , 40 )

Let the second point be represented as Q = Q ( 7 , 20 )

The slope of the line between the points m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 40 - 20 ) / ( 1 - 7 )

On simplifying the equation , we get

Slope m = -20/6

Slope m = -10/3

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 40 = ( -10/3 ) ( x - 1 )

On simplifying the equation , we get

y - 40 = ( -10/3 )x + 10/3

Adding 40 on both sides of the equation , we get

y = ( -10/3 )x + 130/3

Multiply by 3 on both sides of the equation , we get

3y = -10x + 130

when x = 1 am

3y = -10 + 130

3y = 120

y = 40 degrees

when x = 7am

3y = -70 + 130

3y = 60

y = 20 degrees

Hence , equation representing temperature and time is 3y = -10x + 130

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Answer:

x^2+4x

Step-by-step explanation:

(3x^2+10x+20)-(6x+11) = 3x^2+4x+9

(3x^2+4x+9)-(2x^2+9) = x^2+4x

The polynomial that represents the measure of the third side of the plot of land is x² + 4x.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given two sides of a triangular plot of land.

6x + 11

2x² + 9

Perimeter = 3x² + 10x + 20

Perimeter of a triangle = Sum of the three sides

Let A represents the third side.

6x + 11 + 2x² + 9 + A = 3x² + 10x + 20

2x² + 6x + 20 + A = 3x² + 10x + 20

A = 3x² + 10x + 20 - (2x² + 6x + 20)

A = x² + 4x

Hence the measure of the third side is x² + 4x.

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Answer:

The correct answer is 25% increase

Step-by-step explanation:

Hope This Helps!

Answer: The correct answer would be 71.

step-by-step explanation:

9^2 - 10 =

Calculate the exponents: 9^2 : 81

Then subtract 81 by 10

81 - 10 = 71

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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