a varies inversely as the square of b. If a is 1 when b is 4, find a when b is 4.
with solution

switch the variables

x = -y + 6

x - 6 = -y

-x + 6 = y

The expression "negative 1.7 divided by negative 10.06" or -1.7 ÷ -10.06 has a positive quotient.

Quotient is defined as the value resulting from dividing two numbers. When dividing two signed numbers (positive or negative), divide their absolute values and follow these rules:

(+) divided by (+) equals (+)

(-) divided by (-) equals (+)

(+) divided by (-) equals (-)

(-) divided by (+) equals (-)

To have a positive quotient, both the numerator and the denominator should have the same signs, either both (+) or both (-).

2.5 divided by negative 9.56 : +/- = -

negative 1.7 divided by negative 10.06 : -/- = +

negative 9.34 divided by 0.55 : -/+ = -

negative 0.3 divided by 9.44 : -/+ = -

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The probability of observing three shooting stars in 30 minutes is approximately 0.2139 or 21.39%.

Step-by-step explanation:

Let X be the number of shooting stars observed in 30 minutes. Since the shooting stars are observed at a Poisson rate of one every 12 minutes, the expected number of shooting stars observed in 30 minutes is:

λ = (30 minutes) / (12 minutes per shooting star) = 2.5

Using the Poisson distribution, the probability of observing three shooting stars in 30 minutes is:

P(X = 3) = (e^(-λ) * λ^3) / 3!

= (e^(-2.5) * 2.5^3) / 6

= 0.2139

Therefore, the probability of observing three shooting stars in 30 minutes is approximately 0.2139 or 21.39%.

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Answer:

1/2

Step-by-step explanation:

It will be either heads of tails equally likely.

It’s still 1/2. Flipping a coin is an independent event. In other words, the outcome of the next flip is uninfluenced by what has happened previously. It’s as if it were the first time you ever flipped the coin. The probability is unaltered.

The Epmo metric is 0.075.

Given in the Question:

We have given there are a sample of 1000 applicants

So, total number of applicants = 1000

In which 75 fail to meet the requirement

So the number of applicants who fail to meet the requirement = 75

Now, we will find the epmo metric.

We will use the formula of epmo metric:

epmo metric = number of applicant to fail to meet the requirements/

                         total number of applicants

epmo metric = 75/1000

= 0.075

Hence, the epmo metric is 0.075.

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Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.

Each chart has the following three components:

1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.

2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.

3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.

These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.

In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.

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Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

Answer: B

Step-by-step explanation:

Substituting in the coordinates into the lines which they lie on,

\(r=p+b\\\\5r=4p+b\)

Subtracting the equations,

\(-4r=-3p \implies \frac{r}{p}=\frac{3}{4}\)

Answer:

20d+5

Step-by-step explanation:

5(3d + 1) + 5d

Expand the brackets,

15d+5+5d

Collect like terms;

20d+5

A cheerful teen willing to help,

listening to "Rise up"

stay salty...

No, the maximum demand for bracelets will not be met if the store produces the optimal number of bracelets and necklaces. This is because the optimal solution is determined by the store’s profit, which is contingent on the cost of production and the demand for the product.

The optimal number of bracelets and necklaces produced is the point where the cost of production is minimized while the demand for the product is maximized. In this case, the optimal solution will not be enough to meet the maximum demand for bracelets.

If the store does not produce any bracelets, the resulting profit from the necklaces will depend on the demand for necklaces. If the demand is high enough, the store could make a higher profit from necklaces than if it were to produce bracelets.

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Answer:

Step-by-step explanation:

7.5% less than 120

Answer:

50 cents

Step-by-step explanation:

1.80 multiplied by 2.5lb of cherries = $4.50

The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is wider than one other.

Confidence interval:

In statistics, confidence interval means  the probability that a population parameter will fall between two set values.

Given,

Here we need to find the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean.

According to the given question, the given confidence interval values are 90% and 95 %.

When we convert this percentage value into decimal, then we get the value as,

90% = 0.9

95% = 0.95

Here a 95 percent confidence interval, you have a 5 percent chance of being wrong.

And with a 90 percent confidence interval, you have a 10 percent chance of being wrong.

Therefore, 90 percent confidence interval would be wider than a 95 percent confidence interval.

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Answer:

x is 2 1/6

Step-by-step explanation:

2/9x+5=2/3

times 3/2 both sides

3x+7.5=1

minus 1 both sides

3x +6.5=0

move 6.5 to other side

3x=-6.5

divide by 3 both sides

x= 2 and 1/6

Answer:

(2,4)

Step-by-step explanation:

The point that's on the origin (0,0) goes to the right by 2 which is your x-axis and goes up 4 which is your y-axis.

Answer:

Translation: (2,4)

Step-by-step explanation:

The dot/point that's in the middle which is always (0,0) goes to the right by 2 (x-axis) meaning that the first coordinate would be 2. It then goes up 4   (y-axis) meaning that the second coordinate would be 4.

Answer:

43.98 or about 44

Step-by-step explanation:

The quadratic equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

The roots are given as:

x = 6 and x = 2

Rewrite as:

x - 6 = 0 and x - 2 = 0

Multiply both equations

(x - 6)(x - 2) = 0 * 0

Evaluate the product

x^2 - 6x - 2x + 12 = 0

Evaluate the difference

x^2 - 8x + 12 = 0

Hence, the equation that has a root of 6 and 2 is x^2 - 8x + 12 = 0

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Answer:  15.59 or 9√3

Step-by-step explanation:

We can use the Pythagorean Theorem to calculate the third side.

c² = a² + b²   In a 30 60 90 Triangle, the hypotenuse is twice the length of the short leg of the right angle.

c is the hypotenuse. a is the short leg

18² = 9² + b²

324 = 81 + b²  Subtract 81 from both sides.

324 - 81 = b²  becomes b² = 243   Take the square root of both sides

b = 15.5884 . This can  be rounded to 15.59 or 15.6 depending on significant digits or amount of precision required.

The proportions of the sides of the 30 60 90 triangle can also be used:

2² = 1² + b²

4 = 1 + b²

3 = b²

√3 = b

You can always multiply the length of the short leg by √3 to get the length of the side opposite the 60° angle

The differentiation of the expression a (t) = t² - 7t + 9

s (0) = 2 × 0 - 7 = -7

s (1) = 2× 1 - 7 = -5

The position of the particle can be given by

a (t) = t² - 7t + 9

To find s (t) we need to find the differentiation of the given function

thus the differentiation of the given expression is

s = \(\frac{da(t)}{dt}\) = 2t - 7

thus s = 2t - 7

To find ; s (0) and s (1)

s (0) = 2 × 0 - 7 = -7

s (1) = 2× 1 - 7 = -5

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Given:

Surveyed Sample = 500 students

Number of students who listen to music = 300

The probability of students that listens to music is given by the formula:

In a sample of 1500 students, to find the probable number of students that will listen to music

we will multiply the probability we obtained initially by the sample space

=>

It is likely that 900 students will listen to music while studying

Answer:

45??!

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

If there were 15 bunnies 5 were females so there is 10 men and if each female had 5 babies each then that would be 25 babies plus the 10 men should be 35

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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The ratio of heads to tails in the probability test is 2:1 or (D) 2/1.

A ratio is a relationship or comparison between two numbers belonging to the same unit in order to determine how much larger one number is than the other.

For instance, if a test result is 7 out of 10, the ratio of the number of points earned to the total number of points is 7:10.

So, we know that the coin is flipped 36 times in the probability test:

Head = 24

Tails = 36 - 24 = 12

The ratio of heads to Tails:

Heads:Tails
24:12

24/12

2/1

2:1

Therefore, the ratio of heads to tails in the probability test is 2:1 or (D) 2/1.

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Complete question:
In a probability, experiment Eric flip a coin 36 times. The coin landed on the head 24 times. What is the ratio of heads to tails in this experiment?

A.3/2

B.1/2

C.2/3

D.2/1

Answer:

D

Step-by-step explanation:

A company has total profit function P(x) = -2x² + 3003 - 22331, where is the number of items (or production level.)

The break-even production level(s). 7532.07 items

Now, let's dive into the question at hand. The company's total profit function is given as P(x) = -2x² + 3003x - 22331, where x is the number of items produced. To find the break-even production level, we need to find the value of x that makes the profit equal to zero.

In other words, we need to solve the equation -2x² + 3003x - 22331 = 0 for x. There are a few ways to do this, but one common method is to use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = -2, b = 3003, and c = -22331, so we have:

x = (-3003 ± √(3003² - 4(-2)(-22331))) / 2(-2) x ≈ 1492.93 or x ≈ 7532.07

These are the two break-even production levels, rounded to two decimal places. What this means is that the company needs to produce at least 1492.93 items or at most 7532.07 items to cover all its costs and make a profit of zero.

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Answer:

B

Step-by-step explanation:

I'm sorry if I'm wrong

Answer:

5

Step-by-step explanation:

meant b haha