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2 years ago

Define the variables for the situation. Then enter an equation.

Mathematics

1 answer:

svp [43]2 years ago

8 0

Answer:

Definitions of the variables in the situation:

J = Jana's age

S = Sister's age

The Equation:

J + 8 = S

Step-by-step explanation:

Explanation:

In the equation we will use the variable J for Jana and S for Janna's sister. Since we know Jana's age plus 8 equals her sister's age, the equation will be J + 8 = S

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Stephen Gather data about the average rainfall in two cities who organizes data in the given

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Answer:

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Step-by-step explanation:

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2 years ago

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The point P(5, −4) lies on the curve y = 4/(4 − x).

dalvyx [7]

Answer:

Step-by-step explanation:

Slope refers to the steepness of the line.

Slope is equal to change in value of y divided by change in value of x.

The slope of the secant line is given by $\frac{f(x)-f(a)}{x-a}$ .

Given points are $P\left ( 5,-4 \right )\,,\,Q\left ( x,\frac{4}{4-x} \right )$

So, slope of the secant line is $\frac{\frac{4}{4-x}+4}{x-5}=\frac{4+4(4-x)}{(x-5)(4-x)}=\frac{20-4x}{(x-5)(4-x)}=\frac{-4(x-5)}{(x-5)(4-x)}=\frac{-4}{4-x}=\frac{4}{x-4}$

(i) At x = 4.9,

$\frac{4}{4.9-4}=\frac{4}{0.9}=4.444444$

(ii) At x = 4.99,

$\frac{4}{4.99-4}=\frac{4}{0.99}=4.040404$

(iii) At x = 4.999,

$\frac{4}{4.999-4}=\frac{4}{0.999}=4.004004$

(iv) At x = 4.9999,

$\frac{4}{4.9999-4}=\frac{4}{0.9999}=4.0004$

(v) At x =5.1,

$\frac{4}{5.1-4}=\frac{4}{1.1}=3.636364$

(vi)

At x = 5.01,

$\frac{4}{5.01-4}=\frac{4}{1.01}=3.960396$

(vii) At x = 5.001,

$\frac{4}{5.001-4}=\frac{4}{1.001}=3.996004$

(viii) At x = 5.0001,

$\frac{4}{5.0001-4}=\frac{4}{1.0001}=3.9996$

(b)

Slope of the tangent line is 4.

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3 years ago

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans

Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753$

P(sample mean hardness for a random sample of 12 pins is at least 51)

$P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)$

$= 1 - P(z < 2.6645)$

Calculation the value from standard normal z table, we have,

$P(x \geq 51) = 1 - 0.9961= 0.0039$

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

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3 years ago

Which of the following statements will always hold true?

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Answer:

<h2>The constant growth valuation formula is not appropriate to use unless the company’s growth rate is expected to remain constant in the future.</h2>

Step-by-step explanation:

The value of a stock can be calculated with the constant growth valuation formula, but it's mandatory that the stock has to have a constant growth, because it depends on this rate. Actually, the present value of a stock is calculated with this formula when it can be assumed that its growth is constant.

On the other hand, if the stock value is zero, if it has no growth at all, then, this formula can't be applied, because this variable will be missing.

If you see the image attached, you're gonna look for 'g', which represents the growth rate.

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2 years ago

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TEA [102]

Answer:

6^3=6×6×6=216. So, the answer is 6x6x6 and 216.

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