What are 2 numbers that add up to 14 and multiply to 45?

Answers

Answer 1

Answer: 9+5=14 and 9*5=45 Hope that helps:) Probably other numbers too.

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A recent study indicates that the annual cost of maintaining and repairing a car in a town in Ontario averages 200 with a variance of 260. A tax of 20% is introduced on all items associated with the maintenance and repair of cars (i.e., everything is made 20% more expensive). Calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced.

Answers

Answer:

374.4

Step-by-step explanation:

All items related to the maintenance are 20% more expensive, it means that each datum is 20% bigger including the average.

The variance its a dispersion measurof the data and its calculated of this way:

$\sigma^(2) =(1)/(n) \sum\limits^n_(i=1) (x_(i)-\var{x})^2\n$

Here n is the number of data, $\var{x}$ is the average and $x_(i)$ represent each datum. The increment in 20% in each parameter can be represented multiplying for 1.2, of this way

$\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1) (1.2x_(i)-1.2\var{x})^2\n$

Factorizing the 1.2 we have:

$\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1) (1.2(x_(i)-\var{x}))^2$

$\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1)1.2^(2) (x_(i)-\var{x})^2$

$\sigma_(20\%)^(2) =(1.2^(2))/(n) \sum\limits^n_(i=1) (x_(i)-\var{x})^2\n$

That is:

$1.2^(2)\sigma^(2)=\sigma_(20\%)^(2)$

The new variance is $1.2^(2) \sigma^(2) =1.44*260=374.4$

Final answer:

To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.

Explanation:

To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.

Learn more about variance of annual cost here:

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One-fifth of the population of a midwest city is 8466. What is the número?

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Answer:

42330

Step-by-step explanation:

1/5 of x is 8466

multiply is by 5 to cancel out the 1/5

5 times 6466 is 42330

What is the value of x in the equation (x + 12) = (x + 14) – 3?

Answers

Answer: There is NO value of 'x' in the given equation.

Step-by-step explanation: We are given to find the value of 'x' in the equation below:

$(x+12)=(x+14)-3~~~~~~~~~~~~~~~~~~~~(i)$

Finding the value of 'x' in equation (i) means to find the value of 'x' for which the equation is TRUE.

The solution is as follows:

$(x+12)=(x+14)-3\n\n\Rightarrow x+12=x+14-3\n\n\Rightarrow x+12=x+11\n\n\Rightarrow x-x=11-12\n\n\Rightarrow 0=-1,$

which can NEVER be true.

So, the given equation has NO solution.

Thus, there is NO value of 'x' in the given equation.

(x + 12) = (x + 14) - 3

subtract 12 from each side

x = x + 14 - 3 - 12

Now if we subtract x from each side we see that x - x = 0. Combine the terms left over and we have -1, so

0 = -1

The answer is NO SOLUTION

What is the common ratio of the following sequence?
80, 20, 5,

Answers

The value of the common ratio of the sequence is,

⇒ 1 / 4

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The sequence is,

⇒ 80, 20, 5,...

Now, We can find as;

The value of the common ratio of the sequence is,

⇒ 20 / 80

⇒ 1 / 4

Thus, The value of the common ratio of the sequence is,

⇒ 1 / 4

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5 times 4 = 20, 20 times 4 = 80. The ratio is declining by one fourth 1/4

At 60 days the height of a sunflower is 205 cm. If the growth rate is 2 cm per day after the first 60 days, write an expression to represent the sunflower's

Answers

h=205+2*d
(h=height of sunflower/d=number of days passed)

Solve the proportion $(X+1)/(3)$ = $(X)/(2)$ A).5
B).1
C).10
D).2

Answers

d.) 2 is the answer

i think

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