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2 years ago

If you were to plot y versus m using the equation y = (g/k) m yo, how would you calculate the value for k?

Mathematics

1 answer:

Zanzabum2 years ago

3 0

Equation is given as;

y = (g/k) yo

To find the value of “k”, divide both sides of the equation with yo;

y/yo = (g/k)yo/yo

it implies that;

y/yo = (g/k)

Now following steps will obtain the value of “k” as;

ky/yo = g

ky = gyo

k = gy0/y

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The expected number of typographical errors on any page of a certain magazine is 0.2. What is the probability that a certain pag

zhuklara [117]

Answer:

The probability of 2 or more errors is 0.018.

Step-by-step explanation:

Let X = number of typographical errors on a page of a certain magazine.

The expected number of errors is, λ = 0.2.

The random variable X follows a Poisson distribution with parameter λ = 0.2.

The probability mass function of X is:

$P(X=x)=\frac{e^{-0.2}0.2^{x}}{x!};\ x=0,1,2,3...$

Compute the probability of 2 or more errors as follows:

P (X ≥ 2) = 1 - P (X < 2)

= 1 - P (X = 0) - P (X = 1)

$=1-\frac{e^{-0.2}0.2^{0}}{0!}-\frac{e^{-0.2}0.2^{1}}{1!}\\=1-0.81873-0.16375\\=0.01752\\\approx0.018$

Thus, the probability of 2 or more errors is 0.018.

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2 years ago

Parabola Skate Rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc of Hawk Skate Rental rents skate board

NNADVOKAT [17]

Answer: $\bold{13\dfrac{1}{3}\ \text{hours}}$

Step-by-step explanation:

Parabola Skate Rental: 4.50x + 35

Arc Hawk Skate Rental: 5.25x + 25

If you want to know when their cost will be the same, set the equations equal to each other.

5.25x + 25 = 4.50x + 35

0.75x + 25 = 35 subtracted 4.50x from both sides

0.75x = 10 subtracted 25 from both sides

$x=\dfrac{1000}{75}$ divided both sides by 0.75

x = $13\dfrac{1}{3}$ simplified the fraction

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2 years ago

Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep

DENIUS [597]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

I = (x × 1.8 × 1)/100 = 0.018y

if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

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2 years ago

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-Dominant- [34]

The error rate has decreased after changing the painting process.

Step-by-step explanation:

Abdulla knows that 20 percent of the parts have an error in their painting. After suggesting changes in painting process, he wants to know whether the error rate has changed.

Number of parts in the random sample=400400400

Number of parts that had an error=606060

We have to determine what percentage of 400400400 is 606060

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After changing the painting process 0.15% of parts have error.

The previous percentage was 20.Hence the error rate has clearly changed.

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2 years ago

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Blababa [14]

Step-by-step explanation:

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2 years ago