how do i solve this?

The probability of selecting a sample of 5 lightbulbs without any defective bulbs is then given by p^5, where p is the probability of not having a defective bulb.

In this situation, the probability of selecting a sample of 5 lightbulbs without any defective bulbs is calculated using the binomial distribution. The probability of success, p, is the probability that a single lightbulb is not defective, and the probability of failure, q, is the probability that a single lightbulb is defective. The probability of selecting 5 lightbulbs with no defective bulbs is then given by the equation:

P(x=0) = (p^5)*(q^0) = p^5

In this case, p is the probability of not having a defective bulb, and q is the probability of having a defective bulb. The probability of selecting 5 lightbulbs without any defective bulbs is then given by p^5.

For example, if the probability of not having a defective bulb is 0.95 and the probability of having a defective bulb is 0.05, then the probability of selecting a sample of 5 lightbulbs without any defective bulbs is 0.95^5 = 0.7737. This means that there is a 77.37% chance of selecting a sample of 5 lightbulbs without any defective bulbs.

To sum up, the probability of selecting a sample of 5 lightbulbs without any defective bulbs is calculated using the binomial distribution. The probability of success is the probability of not having a defective bulb, and the probability of failure is the probability of having a defective bulb. The probability of selecting a sample of 5 lightbulbs without any defective bulbs is then given by p^5, where p is the probability of not having a defective bulb.

The correct question is:

A box contains 100 bulbs, out of which 10 are defective. If a sample of 5 lightbulbs is selected, find the probability that none in the sample are defective

To know more about probability refer here:

https://brainly.com/question/30034780

#SPJ11

The composite function (f + g)(3) when evaluated from f(x) = −3x² + 3x and g(x) = 2x+5 is -7

Given that

f(x) = −3x² + 3x and

g(x) = 2x+5

To perform the operation (ƒ + g)(3), we need to add the functions ƒ(x) and g(x) first, and then evaluate the sum at x = 3.

ƒ(x) = −3x² + 3x

g(x) = 2x + 5

To add the functions, we simply add their corresponding terms:

(ƒ + g)(x) = ƒ(x) + g(x) = (−3x² + 3x) + (2x + 5)

When the like terms are evaluated, we have

(ƒ + g)(3) = −3x² + 5x + 5

Now, we can evaluate the sum at x = 3:

(ƒ + g)(3) = −3(3)² + 5(3) + 5

So, we have

(ƒ + g)(3) = −27 + 15 + 5

Lastly, we have

(ƒ + g)(3) = -7

Therefore, (ƒ + g)(3) = -7.

Read more about composite function at

https://brainly.com/question/10687170

#SPJ1

The following phrase can be used to calculate the total amount of kilometre that Roland's family travelled: 2 30/100 plus 4 6/10 equals 69/10 kilometres.

The distance from house to the gas station and the distance from the gas station to the store must be added in order to calculate the total number of kilometre driven by Roland's family.

The distance between their house and the petrol station is 4 6/10 kilometres, which can also be expressed using an incorrect fraction as follows:

4 6/10 = (4 × 10 + 6) / 10 = 46/10

The distance between the petrol station and the store can be expressed as 2 30/100 kilometres, which can be written as follows:

2 30/100 = (2 × 100 + 30) / 100 = 230/100

We sum the two distances to get the total distance travelled:

46/10 + 230/100

We must identify a common denominator in order to add these fractions. Both 10 and 100 can be divided into only one single digit, which is 100. Hence, using 100 as the common denominator, we can rewrite the expression as follows:

(46/10) * (10/10) + (230/100) * (1/1)

That amounts to:

460/100 + 230/100 = 690/100

So, by dividing the numerator and denominator by their 10 greatest common factor, we may reduce this fraction:

690/100 = (690 ÷ 10) / (100 ÷ 10) = 69/10

As a result, the following phrase may be used to calculate the total amount of kilometres driven by Roland's family:

2 30/100 plus 4 6/10 equals 69/10 kilometres.

Learn more about kilometer here:

https://brainly.com/question/30581160

#SPJ1

Answer:

The equivalent ratios are 2:5, 4:10, and 10:25

Step-by-step explanation:

2:5 * 2 = 4:10 and 2:5 * 5 = 10:25

In a simple linear regression analysis, the coefficient of correlation (also known as the Pearson correlation coefficient) measures the strength and direction of the linear relationship between the dependent variable and the independent variable.

A value of -0.933 indicates a strong negative correlation, meaning that as one variable increases, the other variable tends to decrease.

To determine the percentage of the total sum of squares that can be explained by using the estimated regression equation, we need to look at the coefficient of determination (R-squared). R-squared is the proportion of the variance in the dependent variable that is explained by the independent variable(s).

The square of the coefficient of correlation (r) gives us the R-squared value. Therefore, in this case, the R-squared value would be:

R-squared = (-0.933)^2 = 0.871

This means that 87.1% of the total sum of squares can be explained by using the estimated regression equation. The remaining 12.9% of the variation in the dependent variable is unexplained and is attributed to other factors that are not included in the model.

For more details about Pearson click here:

https://brainly.com/question/30897203#

#SPJ11

Answer:

y=5x-7

Step-by-step explanation:

The airplane's average rate in calm air is 600 mph.

What is an average?

In mathematics, the average is a measure of the central tendency of a set of numerical values, which is computed by adding all the values in the set and dividing them by the total number of values. The average is also known as the mean, and it is one of the most commonly used measures of central tendency in statistics

Let's denote the airplane's average rate in calm air by x mph.

When the airplane is flying with the jetstream, its ground speed (speed relative to the ground) is x + 300 mph. We know that it can fly 3000 miles in the same amount of time it takes to fly 1000 miles against the jetstream, so we can set up the following equation:

3000 / (x + 300) = 1000 / (x - 300)

We can cross-multiply to simplify:

3000(x - 300) = 1000(x + 300)

Expanding the brackets gives:

3000x - 900000 = 1000x + 300000

Simplifying and rearranging terms gives:

2000x = 1200000

x = 600

Therefore, the airplane's average rate in calm air is 600 mph.

To learn more about averagevisit the link:

https://brainly.com/question/130657

#SPJ9

Proportionately, the cost of the board game without the sales tax is $28.00.

The sales tax is the levy imposed by the government on the consumption and production of certain goods and services.

The purposes of imposing sales taxes are to discourage consumption and to increase governmental revenue.

Proportion refers to the equation of two ratios.

In this situation, we can equate the value of the sales tax with its percentage to determine the cost of the board game.

The sales tax in dollars = $1.54

The sales tax rate = 5.5%

Proportionately, the value of the board game without the sales tax = $28.00 ($1.54/5.5%).

Learn more about the sales tax at https://brainly.com/question/30109497

#SPJ1

How how is the cost?

The sector area of a circle is quadrupled when the radius is doubled. When the radius is doubled, the arc length of a circle is also doubled. This happens because the sector area and arc length are both dependent on the radius of a circle. Therefore, any change in the radius of a circle affects both its sector area and arc length.

Let us understand both these concepts in detail:

Sector area of a circle: A sector is a region of a circle, and the area enclosed by two radii and an arc is known as a sector area. The formula for the sector area of a circle is given by:

Sector Area = (θ/360)πr²

where θ is the central angle in degrees,

r is the radius of the circle,

and is a constant value.

If we double the radius of a circle, the sector area increases by a factor of 4. This is because the sector area is directly proportional to the square of the radius.

Hence, doubling the radius of a circle results in an increase in the sector area by a factor of 22 (four).

Arc length of a circle: The length of an arc is the distance between two points on a circle. The formula for the arc length of a circle is given:

Arc Length = (θ/360)2πr

where θ is the central angle in degrees,

r is the radius of the circle,

and 2pie is a constant value.

If we double the radius of a circle, the arc length also doubles.

This is because the arc length is directly proportional to the radius.

Hence, doubling the radius of a circle results in an increase in the arc length by a factor of 2.

To learn more about “Sector Area” refer to the https://brainly.com/question/22972014

#SPJ11

When a person standing in neutral flexes their right shoulder so that their arm is horizontal with the ground, the center of gravity (mass) will shift towards the left side of the body.

Explanation:

The point at which the weight of a body or an object is concentrated, that is, the point at which the mass of the body or the object is focused is known as the center of gravity. The center of gravity (CG) is the point where the weight of the body is supposed to act, which is the point about which the body remains in balance. The body's center of gravity is important because it affects its balance and stability

                             .When a person is standing in a neutral position, the center of gravity is in the midline of the body. When the person flexes their right shoulder and holds their arm horizontally, the center of gravity will shift towards the left side of the body. This is because the weight of the arm is now being supported by the left side of the body. The shift in the center of gravity will cause the person to adjust their posture to maintain balance and stability.

To know more about center of gravity:

https://brainly.com/question/17409320

#SPJ11

Answer:

i'm pretty sure it's 33

Step-by-step explanation:

6^= 36

36-3= 33

The most precise classification of the quadrilateral with opposite sides having the same slopes and consecutive sides having slopes that are reciprocals is a Rectangle.

1. Opposite sides with the same slopes imply that these sides are parallel.
2. Consecutive sides with slopes that are reciprocals mean that they are perpendicular.
3. Parallel opposite sides make the quadrilateral a parallelogram.
4. Perpendicular consecutive sides make it a rectangle, as all angles are 90 degrees.

So, the quadrilateral is a Rectangle.

More On Quadrilateral:https://brainly.com/question/23935806

#SPJ11

To compute a 90% confidence interval for the population proportion with a margin of error of 0.08 and no prior estimate for the population proportion, a sample size of 181 is needed.

To determine the sample size needed to compute the 90% confidence interval for the population proportion with a margin of error of 0.08, we can use the formula:

n = (z^2 * p * (1 - p)) / E^2

where n is the sample size needed, z is the z-score for the desired confidence level (90% confidence level has a z-score of 1.645), p is the estimated proportion (since no prior estimate is available, we use 0.5 as a conservative estimate), E is the margin of error (0.08)

Substituting the given values, we get:

n = (1.645^2 * 0.5 * (1 - 0.5)) / 0.08^2

n = 180.99

Rounding up to the nearest whole number, we get:

n = 181

Therefore, a sample size of 181 is needed to compute the 90% confidence interval for the population proportion with a margin of error of 0.08, when no prior estimate for the population proportion is available.

To know more about confidence interval:

https://brainly.com/question/30979600

#SPJ4

Answer: answer is 9.9

Step-by-step explanation: becuz 31.2 - 21.3 = 9.9

u have to substract 21.3 from 31.2 . if u subtract 21.3 from 31.2 then it will be 9.9  

but ig u did subtract 31.2 from 21.3....

Answer:

We can solve the inequality by adding 4 to both sides:

2b - 4 + 4 ≥ 3 + 4

2b ≥ 7

b ≥ 7/2

The values in the replacement set that are greater than or equal to 7/2 are {3, 4, 5}. Therefore, the solution set is:

{3, 4, 5}

So the answer is B. {3, 4, 5}.

The scale of proportionality is given as 8 from the table that you have presented

The table here was not properly arranged in the question. I have done so below

64 88 104

8 11 13

lets say that 8p = 64

then p = 64 / 8

p = 8

we would have to determine if the value 8 when multiplied with scaled factor  would be able to give us the original factor

8 * 11 = 88

8 * 13 = 104

Hence the scale of proportionality is given as 8

Read more on scale of proportionality https://brainly.com/question/19952594

#SPJ1

Answer:

Factor 64h^3+216k^9

Step-by-step explanation:

The given expression is a sum of two terms:

[64h^3+216k^9

Notice that each term has a common factor. For the first term, the greatest common factor (GCF) is 64h^3, and for the second term, the GCF is 216k^9. So we can factor out these GCFs to get:

64h^3+216k^9 = 64h^3(1 + 3k^6)

This expression cannot be factored any further, so the final answer is:

64h^3+216k^9 = 64h^3(1 + 3k^6)

If you can, give me brainliest please!

the answer is below with full explanation

1. The quotient in lowest terms of the given rational division is (x+2)/(3x-9).

2. The values of r is A. x=-2 and B. x=0.

Factor is a quantity which when multiplied by another quantity, produces a given product. Factors are used to simplify and solve equations, as well as in other areas of mathematics. Factors can be numbers, variables, and expressions.

To find the lowest terms, we must divide the numerator and denominator by the same number. The largest common factor of the numerator and denominator is 3. Dividing both the numerator and denominator by 3, we get (x+2)/(3x-9) = (x+2)/(x-3).

The values of r that must be excluded from the domains of the expressions are x=0 and x=3. x=0 must be excluded because it will create a zero in the denominator which is not allowed. x=3 must also be excluded because it will create a zero in the numerator, and thus make the entire expression equal to 0. Thus, the correct answer is A. x=-2 and B. x=0.

For more questions related to division

https://brainly.com/question/25289437

#SPJ1

The general solution to the given differential equation is y(t) = C * e^(3t).

To find the general solution to the inhomogeneous first-order linear differential equation y'(t) - 3y(t) = 0, follow these steps:

Step 1: Identify the homogeneous equation, which is y'(t) - 3y(t) = 0.

Step 2: Solve the homogeneous equation by finding the general solution. In this case, it is y_h(t) = C * e^(3t), where C is a constant.

Step 3: Identify the inhomogeneous part of the equation, which is missing in this case. Since the given equation is already homogeneous, there is no need to find a particular solution.

Step 4: Combine the homogeneous solution and the particular solution (if present) to form the general solution. In this case, the general solution is y(t) = y_h(t) = C * e^(3t).

So, the general solution to the given differential equation is y(t) = C * e^(3t).

Learn more about Equation

brainly.com/question/24169758

#SPJ11

The smallest value of x in the Poisson distribution is 0, which means that no cars can pass through the intersection in a given minute.

For explain further, a Poisson distribution is a statistical model that describes the probability of a given number of events occurring in a fixed period of time, such as cars passing through an intersection in a minute.

In a Poisson distribution, the probability of x events occurring in a given minute is given by the equation P(x) = e-λλx/x!, where λ is the average number of events in a given minute. In this case, λ would be the average number of cars that pass through the intersection per minute.

The probability of 0 cars passing through the intersection in a given minute is e-λλ0/0! = 1, which is the highest probability in the distribution. Therefore, the smallest value of x in a Poisson distribution is 0.

To learn more about Poisson distribution here:

https://brainly.com/question/7283210#

#SPJ11

We have 6 red and 1 blue marble thus the probability of drawing blue marble = 1/7

To understand probability as a concept, pay attention to the steps below.

Step 1. Multiply the individual probabilities to obtain the chance of numerous separate events.

Step 2. As there are two separate events in this scenario, double the probabilities of each.

Step 3. Add the individual probabilities to obtain the chance of several events that are mutually exclusive.

In this bag of 7 marbles, there is 1 blue one. Assume that each is marked with a number. Choosing blue-1 has a 1/7 chance of happening. (Why? As there are 7 marbles that may be chosen, each with an equal probability, and since those 7 occurrences are mutually exclusive, the 7 probabilities total up to 1.)

The probability of choosing blue-2 is similarly 1/7; the same goes for blue-3,..., and blue-8. To determine the likelihood of picking a blue, add those up (and blue).

Step 4. Do the same for red next.

Thus the probability of drawing blue marble =  1/7

Learn more about probabilities at

brainly.com/question/30034780

#SPJ4

Option B, The fact that this survey question is a double-barreled question makes it problematic.

A survey question known as a double-barreled question has two questions inside one, making it challenging for respondents to give truthful and insightful responses.

The offered inquiry, in this instance, combines two distinct inquiries: if the phone was acquired within the last two years and whether it has recently had an upgrade.

Inconsistent answers might result from a person who bought their phone more than two years ago but only recently upgraded it, or vice versa. In order to prevent double-barreled questions and guarantee that responders can give precise and complete replies, each question should be isolated and posed independently.

Learn more about the survey at

https://brainly.com/question/17373064

#SPJ4

The question is -

What is the problem with this question item that appeared in a survey? was your phone purchased in the last two years and have you recently updated it?

a. It is a leading question

b. It involves negative wording

c. It is a double-barreled question

d. It is not on a Likert Scale

Answer:

n=106

Step-by-step explanation:

Given  p = 0.5 and 1-p = q = 0.5Margin of error = 0.08  Confidence level = 90%  Z score for 90% confidence level =     1.65As we know -  Margin of error = z * Sqrt (pq/n)Substituting the given value, we get –  0.08 = 1.65 * Sqrt (0.5*0.5/n)Squaring both the sides and solving, we get  n = 1.65^2*0.5^2/0.08^2n = 106.34 = 106

Therefore, the wheel has made 8 complete revolutions after 8 seconds.So, the correct answer is option A) 8.

The given problem is about a wheel that is initially at rest, but then starts to turn with a constant angular acceleration. After four seconds, it has made four complete revolutions. The question asks us to find out how many revolutions it has made after eight seconds.The problem can be solved by using the formula for angular displacement. For a body moving with a constant angular acceleration, the angular displacement, θ can be given as,θ = ω1t + 1/2 α t²Where ω1 is the initial angular velocity and α is the angular acceleration of the body.

Substituting the given values, ω1 = 0 (since the wheel is initially at rest), α is unknown, and t = 4 seconds, we get the equation,[tex]θ = 1/2 α t² = 4 × 2π[/tex]revolutions (since the wheel has made four complete revolutions in four seconds)Solving for α,α = (8π) / (16) = π/2 rad/s²Now, to find out the number of revolutions made after eight seconds, we need to calculate the angular displacement after eight seconds.θ = [tex]ω1t + 1/2 α t²Here, ω1 = 0, α = π/2 rad/s²[/tex], and t = 8 seconds[tex].θ = 0 + 1/2 (π/2) (8)² = 8π[/tex] revolutions

for such more questions on  angular displacement

https://brainly.com/question/31150979

#SPJ11

Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο. ,then ∠SGM = 84°.

Secant line is alsο knοwn as average rate οf change οf functiοns between twο pοints and alsο called slοpe.

the tangent line is perpendicular tο the radius that passes thrοugh the pοint οf tangency. Therefοre, we have:

m∠MGS = 90°

Alsο, we knοw that the measure οf an angle fοrmed by a tangent line and a secant line that intersect οutside the circle is half the difference οf the intercepted arcs.

m∠SGM = 1/2 (mSE - mGE)

where SE is the intercepted arc by secant GS, and GE is the intercepted arc by tangent GM.

Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο.

mSE = 2mGS

mSE = 2(84°) = 168°

m∠SGM = 1/2 (mSE - mGE) = 1/2 (168° - 0°) = 84°

Therefοre, m∠SGM = 84°.

To knοw more about secant line visit,

https://brainly.com/question/14438198

#SPJ1

The average time between fireworks is 4 seconds.

The given problem is a uniform distribution problem.

Uniform distribution is the probability distribution, which states that all outcomes of a random variable are equally likely. The mean or the average of the uniform distribution formula is (a + b) / 2, where a is the lower limit and b is the upper limit of the interval.

The given problem states that the time between fireworks follows uniform distribution between one and seven seconds. Hence, the lower limit (a) is 1 and the upper limit (b) is 7.

The mean or the average time between the fireworks can be calculated using the formula; (a + b) / 2.(a) Average time between fireworks = (1 + 7) / 2 = 4 seconds.

To know more about probability distribution click on below link:

https://brainly.com/question/14210034#

#SPJ11

The measure of the larger acute angle of the triangle can be calculated using trigonometric ratios or by subtracting the measure of the smaller acute angle from 90 degrees. Without further information or given measurements, it is not possible to determine the exact measure of the angle.

Let's consider the general formula for a right triangle where A, B, and C are the angles and a, b, and c are the corresponding sides opposite to each angle:

sin A = a/c, sin B = b/c, and sin C = a/b.

For an acute triangle, we know that the sum of all the angles is equal to 180 degrees, so A + B + C = 180. If the triangle is a right triangle, then one of the angles, say C, is equal to 90 degrees, and A + B = 90 degrees.

In this case, we are only given that the angles of the triangle are acute. Therefore, we can use the formula sin A = a/c, sin B = b/c and sin C = a/b to solve for the angles or use the fact that A + B + C = 180 degrees and A + B = 90 degrees to find the measure of the larger acute angle by subtracting the measure of the smaller acute angle from 90 degrees. However, without specific measurements or additional information, we cannot determine the exact measure of the angle.

for such more question on triangle

https://brainly.com/question/1058720

#SPJ11

The winner of the election got 26320 votes.

Let's first find the total number of votes cast in the election. We know that 2/3 fraction of the electors voted for the first candidate and 1/4 of the electors voted for the second candidate. Therefore, the remaining 1/12 of the electors voted for the third candidate. So, we have:

2/3 + 1/4 + 1/12 = 8/12 + 3/12 + 1/12 = 12/12 = 1

This means that all the electors voted, and the total number of votes cast is equal to the total number of electors.

Now, let's find the number of votes the third candidate got, which is 1/12 of the total number of votes. We know that this is equal to 3290. So, we have

1/12 x Total Number of Votes = 3290

Multiplying both sides by 12, we get:

Total Number of Votes = 3290 x 12 = 39480

Now, we can find the number of votes the first candidate got, which is 2/3 of the total number of votes. We have:

2/3 x Total Number of Votes = 2/3 x 39480 = 26320 votes

Learn more about fraction here

brainly.com/question/8764267

#SPJ4

The nurse will administer 3 tablets of Coreg to meet the prescribed dosage of 9.375 mg PO daily.

The prescription order is for the nurse to administer 9.375mg of Coreg tablets orally each day. The Coreg tablets have a dosage strength of 3.125mg per tablet. To calculate the number of tablets the nurse needs to administer, we can divide the total dosage needed (9.375mg) by the dosage strength per tablet (3.125mg per tablet).

This results in the nurse administering 3 tablets to meet the prescribed dosage. Therefore, the nurse should give 3 tablets of Coreg to the patient each day to ensure they receive the correct amount of medication.

Learn more about division here

brainly.com/question/4933139

#SPJ4

The given question is incomplete, the complete question is:

the pharmacy sends the nurse the following coreg tablets. the order is to administer 9.375 mg po daily. how many tablets will the nurse administer? enter only the numeral (not the unit of measurement) in your answer.