Suppose X is a binomial random variable with n = 200 and p =
0.03. Use the Poisson distribution to approximate P(X > 3).
Compute your answer to 4 decimal places.

Answer:

To find out by how much the price was reduced, we can use the following equation:

price reduction = original price * reduction percentage

We know that the price reduction is £264 and the reduction percentage is 17.5%, so we can plug those values into the equation to get:

price reduction = £264 / 17.5%

To solve this equation, we need to express the percentage as a decimal. We can do this by dividing the percentage by 100:

price reduction = £264 / (17.5 / 100)

This simplifies to:

price reduction = £264 / 0.175

Solving this equation gives us a price reduction of £1512.

So, the original price was reduced by £1512.

Step-by-step explanation:

Scenario 1A:

Coinsurance amount is $90

Medicare payment is $360

Provider write-off is $290

Scenario 1B:

Remaining amount for Insurance and patient to pay is $350

Coinsurance amount is $70

Total paid by patient is $170

Medicare payment is $280

Provider write-off is $370

Scenario 1A:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Coinsurance amount (20% paid by patient): $

Medicare payment (80% of the PFS): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Coinsurance amount (20% paid by patient):

Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)

Coinsurance amount = 0.2 * $450 = $90

Medicare payment (80% of the PFS):

Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)

Medicare payment = 0.8 * $450 = $360

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $360 = $290

Scenario 1B:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Patient pays $100 remaining on their deductible

Remaining amount for Insurance and patient to pay: $

Coinsurance amount (20% of remaining amount): $

Total paid by patient (deductible & 20% of remaining): $

Medicare payment (80% of the remaining amount): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Remaining amount for Insurance and patient to pay:

Remaining amount for Insurance and patient to pay = PFS - remaining deductible

Remaining amount for Insurance and patient to pay = $450 - $100 = $350

Coinsurance amount (20% of remaining amount):

Coinsurance amount = 20% of the remaining amount

Coinsurance amount = 0.2 * $350 = $70

Total paid by patient (deductible & 20% of remaining):

Total paid by patient = remaining deductible + coinsurance amount

Total paid by patient = $100 + $70 = $170

Medicare payment (80% of the remaining amount):

Medicare payment = 80% of the remaining amount

Medicare payment = 0.8 * $350 = $280

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $280 = $370

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Answer:

Yes

Step-by-step explanation:

This is already tough due to 33 being an odd number of people. And obviously, an amount of people can't be a decimal.

So in order to do this, simply divide 33/3 which is 11. This would mean there would be 3 people per classroom.

3 people in each of the 11 classrooms!

That's it, solved!

Thank you,

Eddie

A federal study reported that 7.5% of the u.s. workforce has a drug problem

a-1. You would expect 1.5 of the 20 employed workers in the sample to have a drug problem.

a-2. The standard deviation for this problem would be 1.1180.

b. The likelihood that none of the workers sampled has a drug problem is 0.3679.

c. The likelihood that at least one of the workers sampled has a drug problem is 1 - 0.3679 = 0.6321.

Using drugs may result in dependency and addiction, as well as physical and mental health concerns, difficulties sleeping, and other negative outcomes. Your usage of drugs has an effect not just on you but also on the people around you.

a-1. It is reasonable to anticipate that 1.5 of the 20 employed people in the sample will have a problem with drugs.

a-2: The value of 1.1180 would be used to represent the standard deviation for this situation.

a. The probability that any of the employees who were surveyed struggle with substance abuse is 0.3679.

c. The probability that at least one of the employees who have sampled struggles with substance abuse is 1 less than 0.3679, which equals 0.6321.

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The company should use a warranty period that is equal to 67,467.5 miles.

To determine the warranty period, we need to find the value of the tire life that corresponds to 95% of the tires. We can use the standard normal distribution table to find the value of the z-score that corresponds to the 95th percentile. This value is approximately 1.645.

Now, we can use the formula for the normal distribution to find the tire life value that corresponds to the z-score of 1.645. This formula is:

X = μ + zσ

Where X is the tire life value, μ is the mean of the distribution (65,000 miles), z is the z-score (1.645), and σ is the standard deviation of the distribution (1500 miles).

Plugging in the values, we get:

X = 65,000 + 1.645(1500)

X = 67,467.5

This means that 95% of the tires will have a life of at least 67,467.5 miles.

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The maximum area of the surfboard correct to 2 places is 0.67 m².

Given that a surfboard is in the shape of a rectangle and a semicircle, and its perimeter is to be 4m. We need to find the maximum area of the surfboard, correct to 2 decimal places.

Let the radius of the semicircle be 'r' and the length and breadth of the rectangle be 'l' and 'b' respectively. Perimeter of the surfboard = \(4m => l + 2r + b + 2r = 4 => l + b = 4 - 4r\) -----(1)

Area of surfboard = Area of rectangle + Area of semicircle Area of rectangle = l × b Area of semicircle = πr²/2 + 2r²/2 = (π + 2)r²/2Area of surfboard = l × b + (π + 2)r²/2 -----(2)

We have to maximize the area of the surfboard. So, we have to find the value of 'l', 'b', and 'r' such that the area of the surfboard is maximum .From equation (1), we have l + b = 4 - 4r => l = 4 - 4r - bWe will substitute this value of 'l' in equation (2)

Area of surfboard = l × b + (π + 2)r²/2 = (4 - 4r - b) × b + (π + 2)r²/2 = -2b² + (4 - 4r) b + (π + 2)r²/2Now, we have to maximize the area of the surfboard, that is, we need to find the maximum value of the above equation.

To find the maximum value of the equation, we can differentiate the above equation with respect to 'b' and equate it to zero. d(Area of surfboard)/db = -4b + 4 - 4r = 0 => b = 1 - r Substitute the value of 'b' in equation (1),

we get l = 3r - 3Now, we can substitute the values of 'l' and 'b' in the equation for the area of the surfboard.

Area of surfboard =

\(l × b + (π + 2)r²/2 = (3r - 3)(1 - r) + (π + 2)r²/2 = -r³ + (π/2 - 1)r² + 3r - 3\)

\(-r³ + (π/2 - 1)r² + 3r - 3 = -0.6685 m² \\\)

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Answer:

-7

Step-by-step explanation:

x + 5 = -2

a

we have (-5-1;-3-2) so answer is A

To determine which vitamin leads to weight gain, a hypothesis test can be conducted using SPSS with a level of significance of 5%. The group with the significantly higher mean weight gain would indicate which vitamin leads to weight gain.

To determine which vitamin leads to weight gain at a level of significance of 5%, a hypothesis test needs to be conducted. The null hypothesis would be that there is no significant difference in weight gain between the three groups, and the alternative hypothesis would be that there is a significant difference.

To conduct the test in SPSS, the first step would be to input the data for each group and calculate the mean weight gain for each group. Then, a one-way ANOVA test can be conducted to determine if there is a significant difference between the means. The level of significance is set at 5%.

If the p-value is less than 0.05, the null hypothesis can be rejected, indicating that there is a significant difference between the means. Further post-hoc tests can then be conducted to determine which specific groups differ significantly.

In conclusion, to determine which vitamin leads to weight gain, a hypothesis test can be conducted using SPSS with a level of significance of 5%. The group with the significantly higher mean weight gain would indicate which vitamin leads to weight gain.

To determine which vitamin leads to weight gain in the specific population, you can perform an analysis using SPSS at a 5% level of significance. First, input the weight gain data for the three vitamin groups into SPSS. Then, conduct an ANOVA (Analysis of Variance) test to compare the means of the three groups. If the p-value obtained from the test is less than the level of significance (0.05), it indicates a significant difference between the groups. Further post-hoc tests (such as Tukey's HSD) can then be conducted to identify which vitamin group leads to a significant weight gain compared to the others.

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Answer:

15

Step-by-step explanation:

By the diagram, you can see the sum of segment AB and segment BC is segment AC. Adding the given expressions for AB and B is \(3x-6\). Simplifying the equation \(3x-6=2x+1\), gives \(x=7\). Substituting \(x=7\) in the equation for segment AC gives 15.

Answer:

minimum of 5100 mm^2

Step-by-step explanation:

Surface area   2 * ( 70 * 30 + 70 * 4.5 + 30* 4.5) = 5100 mm^2

The correct statement are:

Based on the given information, we can make the following conclusions:

A. The interquartile range for high school students is smaller than college students.

The statement is False

B. The mean for high school students is smaller than college students.

The statement is False because the mean of College is 25.28 and mean for High school is 30.4.

C. The range for high school students is larger than college students.

The statement is True .

D. The college median is equal to the high school median.

The statement is True because the median for both is 24..

E. The mean absolute deviation is larger for college students than high school students.

The statement is False.

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Answer:

i think that the answer is y = 3x- 1

Answer:

The bike will travel about 75 feet when the wheel makes 15 complete rotation

The wheel will make 8 rotations if Noha rides 40 feet

Step-by-step explanation:

The distance that a wheel can make in one rotation equal the circumference of the wheel

D = C × n, where

Let us use this fact to solve the question

∵ The circumference of the wheel  C = 5 feet

∵ The wheel makes 15 complete rotation

→ Substitute them in the rule above to find the distance

∵ D = 5 × 15

∴ D = 75 feet

The bike will travel about 75 feet when the wheel makes 15 complete rotation

∵ Noha rides for 40 feet

∴ D = 40

∵ C = 5 feet

→ Substitute them in the rule above to find the number of the rotation

∵ 40 = 5 × n

∴ 40 = 5n

→ Divide both sides by 5 to find n

∴ \(\frac{40}{5}=\frac{5n}{5}\)

∴ 8 = n

The wheel will make 8 rotations if Noha rides 40 feet

Answer:

x = -2, y = -4

Step-by-step explanation:

Take the first equation-   -2y = 2 - 3x
Arrange it first-
-3x + 2y = -2

Multiply is by 5 on both sides
5(-3x + 2y) = 5(-2)
-15x + 10y = -10

Take the second equation-    -5y = 10 - 5x
Arrange it-
-5x + 5y = -10

Multiply is by 2 on both sides
2(-5x + 5y) = 2(-10)
-10x + 10y = -20

Subtract second equation from the first one-

  -15x + 10y = -10
-  -10x + 10y = -20
= -5x = 10

-5x = 10
x = 10/(-5)
x = -2

Substitute the value of x in Equation 1
-2y = 2 - 3(-2)
-2y = 2 + 6
-2y = 8
y = 8/(-2)
y = -4

Hope it helps ;)

Answer:

OB

Step-by-step explanation:

-2+7=-9

negative plus positive equal negative.

I hope this helps a bit

Answer:

Step-by-step explanation:

This is a probability question and we have to calculate the sample size.

given the sample size S= 30

3 rode a bike

7 drove a car

20 rode bus

The probability of selecting a person that will take a bus is

\(Pr(bus)= 20/30= 2/3\)

Answer:

I think it may be the answer C

Answer:

The two numbers are 8 and -2

Step-by-step explanation:

a=b+10

2(a+b)=12

you then substitute the first equation's value for a into the second equation.

2(b+10+b)=12

2(2b+10)=12

4b+20=12

b+5=3

b=-2

Then you substitute this value for b back into the first equation.

a=b+10

a=-2+10

a=8

Answer:

(4m - 5m) (4m + 5m)

16m + 20m - 20m - 25m

36 m -45m

=-9m

Answer: cos^2 (t)

Step-by-step explanation:

1/2[1-sin2t] is the simplified form of cos(t)cos(t) to a single trig function or constant with no fractions.

To simplify cos(t)cos(t) to a single trig function or constant with no fractions, we have to use the identity cos2θ=1/2[1+cos(2θ)] that gives the square of the cosine function.

Let's substitute θ=t in the above identity to get cos2t=1/2[1+cos(2t)]

We want to simplify cos(t)cos(t) to a single trig function or constant with no fractions. Cosine function squared

i.e. cos2t can be written as (cos t)2: (cos t)2 = 1/2[1+cos(2t)]

Now, let's replace the 2cos(t)2cos(t) with (cos t)2:2cos(t)2cos(t) = 2(cos t)2= 2/2[1+cos(2t)]

Using the identity sin2θ=1/2[1-cos(2θ)] and substituting θ=t in the above identity we get: sin2t=1/2[1-cos(2t)]2(cos t)2 = 1/2[1-sin2t]

So, cos(t)cos(t) can be written as:cos(t)cos(t) = 1/2[1-sin2t]

Hence, the simplified form of cos(t)cos(t) to a single trig function or constant with no fractions is:cos(t)cos(t) = 1/2[1-sin2t] Answer: 1/2[1-sin2t]

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Answer:

c) k = - 2

Step-by-step explanation:

Equação de Segundo Grau:

Uma equação de segundo grau tem o seguinte formato:

\(ax^2 + bx + c = 0\)

Em que \(a \neq 0\)

Caso tenham potências de x maiores que dois, o termo que multiplica essas potências deve ser 0.

Neste exercício:

Tem-se a seguinte equação:

\((k^2 - 4)x^3 + (k-2)x^2 + 7x - 8 = 0\)

Para ser do segundo grau, necessita-se que:

\(k^2 - 4 = 0\)

\(k^2 = 4\)

\(k = \pm \sqrt{4}\)

\(k = \pm 2\)

E também

\(k - 2 \neq 0\)

\(k \neq 2\)

A intersecção entre \(k = \pm 2\) e \(k \neq 2\) é \(k = -2\), e portanto a resposta é dada pela alternativa c.

O valor de k que torna a equação uma equação de segundo grau para a equação considerada é dado por: Opção C: k = -2

For a single variable equation, degree of an equation is the highest power the variable possess, such that its coefficient is non-zero.

A second degree equation is that equation where the maximum power involved in that equation is 2 (such that its coefficient is non-zero).

For this case, the considered equation is:

(k² – 4) x³ + ( k – 2 )x² + 7x - 8 = 0

For making it second degree, we would have to vanish the coefficient of x³, and by vanish, we mean we would like to make it 0, but simultaneously, we'd have to take care that coefficient of x² doesn't become 0 as we need it to be non-zero.

So we get two mathematical statements:

or

\((k^2 - 4) = 0\\k - 2 \neq 0\)

Taking first equation, we get:

\(k^2 -4 = 0\\k^2 = 4\\k = \pm \sqrt{4} = \pm 2\)
Thus, k = 2 or k = -2

From second statement, we get:

\(k -2 \neq 0\\\text{adding 2 on both the sides}\\k \neq 2\)

Thus, from both the results, we conclude that k = -2 is correct choice.

Thus, the value of k that makes the equation a second degree equation for the considered equation is given by: Option C: k = -2

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he would have to practice 20 minutes on friday

18 + 23 + 16 + 13 = 70

1.5 hours = 90 minutes

90-70 = 20 minutes

2/9

Answer:

10%

Step-by-step explanation:

He had to payback 40 more than he borrowed.

440-400=40

40 is 10% of 400, what he borrowed.

400÷10=40

Answer:

10%

Step-by-step explanation:

That year, he paid $40 in interest, which is 10% of the original loan.

The Probability of spinning an odd number both times is \(\dfrac{1}{2}\).

Probability is calculated by the ratio of favourable outcomes and the total number of outcomes.

The total number of outcomes of spinning numbers will be 4 that is 1,2,3,4.

And in which the odd numbers are 1,3.

Therefore the favourable outcome of spinning an odd number both the times will be 2.

Then, the probability will be

\(P=\dfrac{2}{4} \\P=\dfrac{1}{2}\)

So, the probability of spinning an odd number both times will be \(\dfrac{1}{2}\).

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We get: v - h + k - s = Ce^(-s/2) or y - x - (h - k) = Ce^(-(x-h-s)/2).

This is the general solution to the original differential equation, in terms of h, k, and C.

To solve the differential equation

dy/dx = (x-y-1)/(x+y+1)

       dy/dx = dv/ds + k

       x - y - 1 = h + s - v - k - 1 = s - v + (h - k - 1)

        x + y + 1 = h + s + v + k + 1 = s + v + (h + k + 1)

        dv/ds + k = [(h + s - v - k - 1) - (s - v + (h - k - 1))] / [(h + s + v + k + 1) -

        (s + v + (h + k + 1))]

       dv/ds + k = [(2h - 2k - 2)s - 2v] / [-2]

       or

       dv/ds = (v - h + k - s) / 2

        dv/ds = du/ds

        and the equation becomes:

        du/ds = -u/2

        v - h + k - s = Ce^(-s/2)

        or

        y - x - (h - k) = Ce^(-(x-h-s)/2)

This is the general solution to the original differential equation, in terms of h, k, and C.

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Answer:

3 = x

Step-by-step explanation:

because 3 is y and 9 is x so

The solution of the inequality x³ + 4x² > x + 4 will be -4 < x < -1 or x > 1. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

x³ + 4x² > x + 4

Then the inequality can be written as

x³ + 4x² – x – 4 > 0

Then the factor will be

x²(x + 4) – 1(x + 4) > 0

       (x² – 1)(x + 4) > 0

(x – 1)(x + 1)(x + 4) > 0

Then the solution will be

x – 1 > 0

     x > 1

x + 1 < 0

    x < -1

x + 4 > 0

     x > -4

Then the correct option is C.

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