Every product manufactured by a company goes through 6 different tests before being shipped out. It is known that the probability that a product passes any single test is 0.9 and the tests are independent. Only those products that pass the first three tests and also pass at least one of the three remaining tests are shipped out. Find the probability that a manufactured product is shipped out.

Answers

Answer 1

Answer:

The Probability that the product is shipped out is 0.7283

Step-by-step explanation:

Here, we are given that, a product passes through 6 tests before it is shipped out and a product is shipped out only if it passes all the first 3 tests and at least 1 of the remaining 3 tests.

We have P(pass)= 0.9, is the Probability of passing any test.

Which implies, P(fail)= 1- 0.9= 0.1

We have to find the Probability that the product is shipped out.

P(product is shipped out) = P(it passes first 3 tests )*P(passes at least 1 of the remaining 3 tests) •••••••••••(i)

We can take the product as the tests are Independent.

Now, let us obtain

P(it passes first 3 tests ) = P(pass)*P(pass)*P(pass)

=P(pass)]^3 = (0.9)^3 = 0.729

Hence, P( it passes first 3 tests)= 0.729 •••••••(ii)

Now,

P(passes at least 1 of the remaining 3 tests)

= 1-P(fails all the 3 remaining tests)

= 1-(0.1)^3 = 1 - 0.001 = 0.999

Hence,

P(passes atleast 1 of the remaining 3 tests)=0.999 ••••••••(iii)

Now, substituting the 2nd and 3rd equations in the first equation, we have;

P(product is shipped out) = P(it passes first 3 tests )*P(passes at least 1 of the remaining 3 tests)

= (0.729)*(0.999)

= 0.728271

= 0.7283


Related Questions

1. An LG Dishwasher, which costs $800, has a 20% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warrantee costs $112.10 on a dishwasher. What is the expected value of the extended warranty assuming it is replaced in the first 2 years?
2. Approximately 10% of all people are left-handed. Consider a grouping of fifteen (15) people.
a. State the random variable.
b. Write the probability distribution.
c. Draw a histogram.
d. Describe the shape of the histogram.
e. Find the mean.
f. Find the variance.
g. Find the standard deviation.

Answers

Step-by-step explanation:

The expected value of the extended warrant is calculated as follow.

Value of Waranty

= 800 x 20% − 112.10

= 800 x 20/100 − 112.10

= 47.9

The expected value of the extended warranty assuming it is replaced in the first 2 years is given as follow.

Expected value=800-112.10=>687.90

Therefore, required expected value of extended warranty is 687.90

2.

Given information:

Number of Trials (n) = 15

Probability of Success (p) = 0.10

a) Let X represents the number of left-handed people.

b) The probability distribution follows binomial distribution.

X ∼ Binomial distribution

The probability distribution is given as follow.

P(X = x) = ^nCx(p)^x(1 − p)^n − x

c)The histogram is given as follow. (See attachment)

d) The shape of histogram is skewed right.

e) The mean is calculated as follow.

Mean

=n x p

= 15 x 0.10

= 1.5

f) The variance is calculated as follow.

Variance

= n x p x q

= 15 x 0.10 x 0.90

= 1.35

g) The standard deviation is calculated as follow.

Standard deviation

=√n x p x q

=√15 x 0.10 x 0.90

= 1.162

in the formula C=5/9(F-32),If C=35, then F=?​

Answers

Step-by-step explanation:

Hope this helps

Hope this is correct

Answer:

F = 95°

Step-by-step explanation:

[tex]C=\frac{5}{9}(F-32)[/tex] is the formula to convert Fahrenheit to Celsius

If we have C = 35, we just need to plug in this number to its corresponding variable and then solve for F

[tex]35=\frac{5}{9}(F-32)[/tex] then we need to multiply both sides of the equation by 9 to get rid of the fraction on the right side[tex]35(9)=[\frac{5}{9}(F-32)](9)[/tex] then simplifies to [tex]315=(5)(F-32)[/tex] Now we can distribute the 5 on the right side to the (F - 32) to get 315 = 5F - 160Adding 160 to both sides we get 475 = 5FDividing both sides by 5 we get 95 = F

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

a

Step-by-step explanation:

because as absolute value gets smaller the line gets steeper

r

!Please help!
When representing a frequency distribution with a bar chart, which of these bars will be the shortest?
A. A bar representing a frequency of 24
B. A bar representing a frequency of 48
C. A bar representing a frequency of 36
D. A bar representing a frequency of 12

Answers

Answer:

D

Step-by-step explanation:

12 is lowest.

A bar chart is one of the most commonly used representations or visually translate groups of data.

We have given that,

When representing a frequency distribution with a bar chart.

What is the frequency distribution?

frequency distribution, a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times.

It is drawn in such a way that the x-axis of the graph would represent the items and the y-axis will be for the frequency.

Out of the choices given, the shortest among the bars will be that would frequency is only 36.

Hence, the answer to this item is the letter C.

To learn more about the frequency distribution visit:

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Determine whether the study depicts an observational study or an experiment.

A study is conducted to determine if there is a relationship between stomach cancer and alcohol consumption.alcohol consumption. Everyone treated at a hospital for stomach cancer was asked Everyone treated at a hospital for stomach cancer was asked about their alcohol consumption.

a. The study is an experiment because the researchers control one variable to determine the effect on the response variable.
b. The study is an observational study because the researchers control one variable to determine the effect on the response variable.
c. The study is an observational study because the study examines individuals in a sample, but does not try to influence the response variable.
d. The study is an experiment because the study examines individuals in a sample, but does not try to influence the variable of interest.

Answers

Answer:

Option c

Step-by-step explanation:

The study is an observational study. An observational study is made when the researchers collect data based on what they see, hear or observe without any form of manipulation or treatment plan from the researchers. Thus, in this case, the study is an observational study because the study examines individuals in a sample, but does not try to influence the response variable/influence their responses.

The width of the rectangle is 2 more than the length. The area of the rectangle is 63 square inches. How long is the width?

Answers

Answer:

9 inches

Step-by-step explanation:

Area of rectangle= length ×width

Let the length of the rectangle be x inches.

Width of rectangle= (x +2) inches

since the width is 2 more than the length.

63= x(x+2)

63= x(x) +2x

Bringing constant to one side,

x² +2x -63= 0

(x +9)(x-7) = 0 (factorise)

x+9= 0 or x-7= 0

x= -9 or x= 7

(reject)

width of rectangle

= 7+2

= 9 inches

*We reject x= -9 since the length of the rectangle cannot be a negative number.

You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building. At a certain instant the elevator is 500 feet away from you, and its distance from you is decreasing at a rate of 16 ft/sec. How fast is the elevator descending at that instant?

Answers

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

[tex]h=\sqrt{x^2+y^2}[/tex]

The rate of change for the distance between you and the elevator is given by:

[tex]\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}[/tex]

[tex]-16=\frac{dh}{dy}*\frac{dy}{dt}[/tex]

[tex]\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\[/tex]

Applying the chain rule:

[tex]u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}[/tex]

Therefore, at x=300 and y = 500, dy/dt is:

[tex]-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s[/tex]

The elevator is descending at 18.66 ft/s.

Given f(xl=x-7 and g(x)=x^2 find g(f(4))

Answers

Answer:

So we first need to solve for f(4) because thats what's inside g(_)

It should be 4-7 because I think its f(x)=x-7 you weren't very clear on it.

so that means that we need to solve for g(-3)

-3^2 = 9 because -3*-3 = 9

9 is answer

Solve for a.
ab + c = d

Answers

Answer:

a=(d-c)/d

Step-by-step explanation:

ab+c=d

ab=d-c

a= (d-c)/b

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

D. It would be less steep

Step-by-step explanation:

The first graph moves at a rate of 5/1 which is a greater fraction than 3/4

The second graph is shallow due to the close points in x and y that are able to be conducted The first Graph rapidly increases at a way higher rate making it VERY steepWhile both are linear the second strays away in terms of plot lines

3/11 ÷ 3/11
and
9/10 ÷ 3/5

PLZ HELP ME

Answers

Answer:

3/11 divided by 3/11 is 1

9/10 divided by 3/5 is 1 1/2 (1.5)

Step-by-step explanation:

Answer:

1

1.5

Step-by-step explanation:

3/11 ÷ 3/11 = 1

9/10 ÷ 3/5 = 3/2 ≈ 1.5

What is the distance between the following points?

Answers

Answer:

square root of 72

Step-by-step explanation:

Answer:

(c) square root of 72

Step-by-step explanation:

khan academy answer :)

SL Part 1: Function Families > 01: Graphs and Functions
22. Find the constant of variation k for the direct variation.
х
f(x)
2
-1
7
-3.5
Ok= -2
Ok=0
Ok=0.5
Ok= -0.5​

Answers

The answer is the first one

A triangular plate with base 3 m and height 5 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m3.)

Answers

Answer:

The hydro-static force [tex]F=245000N[/tex]

Step-by-step explanation:

given data

base = 3 m

height = 5 m

density of water = 1000 kg/m3

Acceleration due to gravity = 9.8

The area if the strip needs to be calculated using similar triangular formula as well as the hydrostatic force

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLANATION

Each bag of Skittles is supposed to have at least 30 Skittles. A machine that fills bags has a 0.005 probability of under filling a bag. For every thousand bags, what is the standard deviation for the number of bags (out of a thousand) that are under-filled. Assume the Poisson distribution.

Answers

Answer:

The standard deviation for the number of bags that are underfilled is 2.236.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval. The variance is the same as the mean, which mean that the standard deviation is the square root of the mean.

In this question:

Expected number of underfilled bags in a sample of n bags is:

[tex]\mu = 0.005*n[/tex]

1000 bags, so

[tex]\mu = 0.005*1000 = 5[/tex]

Standard deviation [tex]S = \sqrt{5} = 2.236[/tex]

The standard deviation for the number of bags that are underfilled is 2.236.

the average mark of candidates in an aptitude test was 138.5 with a standard deviation of 10.6. three scores extracted from the test are 178,122,100.what is the average of the extracted scores that are extreme value

Answers

Answer:

The average of the extracted scores  = 133.33

Step-by-step explanation:

Given data the average mark of candidates in an aptitude test was 138.5 with a standard deviation of 10.6

mean of the aptitude test = 138.5

Standard deviation of the  aptitude test = 10.6

Given three scores extracted from the test are 178,122,100

The average of the extracted scores = ∑x / n

The average of the extracted scores

                                        = [tex]\frac{178 +122 +100}{3}[/tex]

                                        = 133.33

Final answer:-

The average of the extracted scores  = 133.33

What is the simplest form of this expression?
4(y + 2) - 2

Answers

the simplest form is 4y+6?


you distribute the 4 to everything in the parentheses and then combine like terms so you would combine the 8 and -2

Answer & Step-by-step explanation:

4(y + 2) - 2

Distribute 4 to (y + 2)

4y + 8 - 2

Combine like terms

4y + 6

So, your answer in the simplest form is 4y + 6

A city has 5 new houses for every 7 old houses. If there are 45 new houses in the city, how many old houses are there?

Answers

Answer:

63

Step-by-step explanation:

Make a ratio:

5 : 7 = 45 : x

x = 63

The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacement vector from Houston, Texas to Akron, Ohio. Use the vectors ~v and w~ to answer the following questions:

a. What is the displacement vector Of a plane which flies from Akron, Ohio to Houston, Texas?
b. In order to fly home from Portland to Akron I have a layover in Houston. Find a vector which describes my total displacement over the whole trip.
c. It is approximately 3000 km from Portland to Houston. It is approximately 5500 km from Anchorage, Alaska to Houston. A plane flies in a straight line from Houston to Anchorage and during the flight it passes directly over Portland. Find a vector which describes the displacement of the plane.

Answers

Answer:

a

the displacement of the plane is  [tex]- \= w[/tex]

b

The displacement of plane  from Portland to Akron with layover at Houston is  

       [tex]\= v + \= w[/tex]

c

  the vector which defines this displacement is  [tex]\= v + \= w =- 2500 \ km[/tex]

Step-by-step explanation:

From the question we are the

   The displacement from Portland, Oregon to Houston, Texas. is  [tex]\= v[/tex]

    The displacement  from Houston, Texas to Akron, Ohio.  is [tex]\= w[/tex]a

a

   The motion of the plane in question a is in the opposite direction to vector [tex]\= w[/tex]

So the displacement of the plane is  [tex]- \= w[/tex]

b

The motion of Portland to Houston to Akron is in the direction of both vector [tex]\= v[/tex] and  [tex]\= w[/tex]  so

The displacement of plane  from Portland to Akron with layover at Houston is  

       [tex]d = \= v + \= w[/tex]

c

From the question we are told that the plane flies over Portland to get to  Anchorage, Alaska which implies that it is moving in opposite direction to the vector [tex]\= v[/tex]

   Give that distance from Portland to Houston is  [tex]\= v = 3000 km[/tex]

           and the distance from Portland to  Anchorage is [tex]\= w = - 5500[/tex]km

Then the vector which defines this displacement is mathematically represented as

   [tex]\= v + \= w = 3000 -5500[/tex]

    [tex]\= v + \= w =- 2500 \ km[/tex]

       

The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs at minimum number of swimmers to sign up in order to be cost effective. Last year's data showed that during 8 swim sessions the average number of entry-level swimmers attending was 15. Suppose the instructor wants to conduct a hypothesis test. The alternative hypothesis for this hypothesis test is: "the population mean is less than 15". The sample size is 8, LaTeX: \sigmaσ is known, and alpha =.05, the critical value of z is _______. Group of answer choices

Answers

Answer:

The signficance level is 0.05 and then based in the alternative hypothesis we can find a critical value who accumulates 0.05 of the area in the normal standard curve in the left and we got:

[tex] z_{\alpha/2}= -1.64[/tex]

Step-by-step explanation:

[tex]n=8[/tex] the same size given

[te]\sigma[/tex] the population deviation is known

For this case we want to test if the population mean is less than 15 and that represent the alternative hypothesis and the complement would be the null hypothesis. So then the system of hypothesis are:

Null hypothesis: [tex]\mu \geq 15[/tex]

Alternative hypothesis:  [tex]\mu <15[/tex]

The signficance level is 0.05 and then based in the alternative hypothesis we can find a critical value who accumulates 0.05 of the area in the normal standard curve in the left and we got:

[tex] z_{\alpha/2}= -1.64[/tex]

Please help! Will mark brainliest ! Thank you! Please explain so I can actually understand the question too :)

Answers

Answer:

A

Step-by-step explanation:

They are congruent because of the SSS theorem.  The chords are congruent because the angles are congruent (angles are congruent because they are vertical angles).  Congruent central angles have congruent chords.  The other two sides are congruent because they are all radii of the circle and radius are always congruent.

Answer:

A

Step-by-step explanation:

The triangles are isosceles and congruent  too. ( both have 2  sides congruent  as  radius and the angles between them are congruent- SAS)

Please answer this correctly

Answers

Answer:

10 players

Step-by-step explanation:

If you count the x’s, there are 10.

Why ask this question? You could have just counted

Answer:

22 players

Step-by-step explanation:

It specifically says 'at least 3 runs' so you would have to count all the x's in the columns 3, 4, and 5.

There are 10 x's in the 3 column

There are 3 x's in the 4 column

There are 9 x's in the 5 column

Hope this helps!

An observer at the top of a 532 foot cliff measures the angle of depression from the top of the cliff to a point on the ground to be 4 degrees. What is the distance from the base of the cliff to the point on the ground? Round to the nearest foot.

Answers

Answer:

Distance from the base of the cliff to the point on the ground = 7608 feet

Step-by-step explanation:

Given: Height of the cliff is 532 feet, angle of depression from the top of the cliff to a point on the ground is equal to 4 degrees.

To find: distance from the base of the cliff to the point on the ground

Solution:

In ΔABC,

[tex]\angle ACB=4^{\circ}[/tex]  (Alternate interior angles)

For any angle [tex]\theta[/tex], [tex]\tan \theta =[/tex] side opposite to angle/side adjacent to angle

[tex]\tan C=\frac{AB}{BC}[/tex]

Put [tex]AB=532\,,\,\angle C=4^{\circ}[/tex]

[tex]\tan 4^{\circ}=\frac{532}{BC}\\\\BC=\frac{532}{\tan 4^{\circ}}\\\\=7607.95\\\\\approx 7608\,\,feet[/tex]

Distance from the base of the cliff to the point on the ground = 7608 feet

find the perimeter of of the shaded figure. ? units

Answers

Answer:

38 Units

Step-by-step explanation:

7 each down each side

10 each across top and bottom

2 more for each indent on bottom

7+7+10+10+2+2

14+20+4

38

Which expession is equivalent to -3(6c + 2) + 5c

Answers

Answer:

-13c-6

Step-by-step explanation:

-3(6c + 2) + 5c

Distribute

-18c -6 +5c

Combine like terms

-13c-6

Answer:

-13c -6

Step-by-step explanation:

-3 (6c) -3x2+5c

multiply 6 by -3

-18c-3x2+5c

multiply -3 by 2

-18c -6+ 5c

add 18c and 5c

-13c -6

A ball travels on a parabolic path in which the height (in feet) is given by the expression $-25t^2+75t+24$, where $t$ is the time after launch. At what time is the height of the ball at its maximum?

Answers

Answer:

The height of the ball is at it's maximum 1.5 units of time after launch.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

[tex]h(t) = at^{2} + bt + c[/tex]

If t is negative, the maximu value of h(t) will happen at the point

[tex]t_{MAX} = -\frac{b}{2a}[/tex]

In this question:

[tex]h(t) = -25t^{2} + 75t + 24[/tex]

So

[tex]a = -25, b = 75, c = 24[/tex]

Then

[tex]t_{MAX} = -\frac{b}{2a} = -\frac{75}{2*(-25)} = 1.5[/tex]

The height of the ball is at it's maximum 1.5 units of time after launch.

J.D. Power and Associates conducts vehicle quality surveys to provide automobile manufacturers with consumer satisfaction information about their products (Vehicle Quality Survey, January 2010 ). Using a sample of vehicle owners from recent vehicle purchase records, the survey asks the owners a variety of questions about their new vehicles, such as those shown below. For each question, state whether the data collected are categorical or quantitative and indicate the measurement scale being used.
a. What price did you pay for the vehicle?
b. How did you pay for the vehicle? (Cash, Lease, or Finance)
c. How likely would you be to recommend this vehicle to a friend? (Definitely Not, Probably Not, Probably Will, and Definitely Will)
d. What is the current mileage?
e. What is your overall rating of your new vehicle? A 110 -point scale, ranging from I for
unacceptable to 10 for truly exceptional, was used.

Answers

Answer:

Categorical data includes

b. How did you pay for the vehicle? (Cash, Lease, or Finance)

c. How likely would you be to recommend this vehicle to a friend? (Definitely Not, Probably Not, Probably Will, and Definitely Will)

e. What is your overall rating of your new vehicle? A 1 to 10 point scale, ranging from I for unacceptable to 10 for truly exceptional, was used.

Quantitative data includes

a. What price did you pay for the vehicle?

d. What is the current mileage?

Step-by-step explanation:

Categorical data refers to the kind of data in which the variables are grouped based on a particular quality, ticking a particular box or satisfying some specific requirements.

It uses one or more qualitative property/properties to assign variables into a limited, usually fixed groups or categories. Note that the qualitative property might be a grouped data of numerical values. As long as there are easily separable and recognizable groups, it is categorical data.

This is also called qualitative data.

Quantitative data is a data that is strictly about numerical values. A dataset that consists of numerical values of the members of the dataset. Deals almost exclusively with numbers, usually ungrouped.

So, examining the given datasets one at a time

a. What price did you pay for the vehicle?

The answer to this question is a numerical value and for various customers, it builds up a dataset of strictly numerical values. Hence, this resulting data is a quantitative data.

b. How did you pay for the vehicle? (Cash, Lease, or Finance)

The answers to this question can only take 3 forms; Cash, Lease or Finance, indicating that all the variables in the dataset can only take on limited, fixed number of groups/categories. Hence, this dataset is a categorical data.

c. How likely would you be to recommend this vehicle to a friend? (Definitely Not, Probably Not, Probably Will, and Definitely Will)

The answers to this question too can take on 4 limited, fixed categories or groups, Hence, it's easy to see that this dataset is also categorical data.

d. What is the current mileage?

The answer to this question is a numerical value. Various answers from numerous persons would lead to a data of numbers. Hence, this is a quantitative data.

e. What is your overall rating of your new vehicle? A 1 to 10 point scale, ranging from I for unacceptable to 10 for truly exceptional, was used.

Limited, fixed categories or groups (10 groups) are also available for this data, hence, it is easily a categorical data.

Hope this Helps!!!

Consider the following.x = t − 2 sin(t), y = 1 − 2 cos(t), 0 ≤ t ≤ 8πSet up an integral that represents the length of the curve.8π0 dtUse your calculator to find the length correct to four decimal places.

Answers

The length of the parametric curve (call it C ) is given by

[tex]\displaystyle\int_C\mathrm ds=\int_0^{8\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt[/tex]

We have

[tex]x=t-2\sin t\implies\dfrac{\mathrm dx}{\mathrm dt}=1-2\cos t[/tex]

[tex]y=1-2\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=2\sin t[/tex]

Now,

[tex]\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2=5-4\cos t[/tex]

so that the arc length integral reduces to

[tex]\displaystyle\int_0^{8\pi}\sqrt{5-4\cos t}\,\mathrm dt[/tex]

which has an approximate value of 53.4596.

Which of the following best forms the figure shown

Answers

Answer:

2 rays that meet at an endpoint

Step-by-step explanation: A ray starts with a dot, or point and continues on forever with an arrow. There are two rays in that drawing that start at the same endpoint.

Answer:

2 rays that meet at an endpoint.

Step-by-step explanation:

A ray is straight but has one endpoint and the other end go on infinitely.

A line is straight and goes on infinitely.

A line segment is straight and has two endpoints.

The picture shows two rays meeting at an endpoint.

Venera sent a chain letter to her friends, asking them to forward the letter to more friends.
The relationship between the elapsed time t, in months, since Venera sent the letter, and the number of
people, P(t), who receive the email is modeled by the following function:
3t+7
P(t) = 2
Complete the following sentence about the monthly rate of change in the number of people who receive
the email.
Round your answer to two decimal places.
Every month, the number of people who receive the email is multiplied by a factor of

Answers

Answer:

It is multiplied by a factor of 8

Step-by-step explanation:

Every month, the number of people who receive the email is multiplied by a factor of 8.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

Venera sent a chain letter to her friends, asking them to forward the letter to more friends.

The relationship between the elapsed time t, in months, since Venera sent the letter, and the number of people, P(t), who receive the email is modeled by the following function:

[tex]\rm P(t) = 2^{3t+7}[/tex]

Every month, the number of people who receive the email is multiplied by a factor will be

For t = 2, we have

P(2) = 2³⁽²⁾⁺⁷

P(2) = 2¹³

For t = 3, we have

P(3) = 2³⁽³⁾⁺⁷

P(3) = 2¹⁶

Then the factor will be

⇒ P(3) / P(2)

⇒ 2¹⁶ / 2¹³

⇒ 2³

⇒ 8

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LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS13. Which is not a pair of congruent sides in the diagram below?A) KJ AND JHB) EF AND JHC) KJ AND FGD) EK AND GH Hopewell Corporation Balance Sheet As of December 31, 2019 (amounts in thousands) Cash 21,000 Liabilities 20,000 Other Assets 26,000 Equity 27,000 Total Assets 47,000 Total Liabilities & Equity 47,000 Hopewell Corporation Income Statement January 1 to March 31, 2020 (amounts in thousands) Revenue 5,500 Expenses 2,600 Net Income 2,900 Between January 1 and March 31, 2020: 1. Cash decreases by $100,000 2. Liabilities decrease by $300,000 3. Paid-In Capital does not change 4. Dividends paid of $300,000 What is the value for Other Assets on March 31, 2020? Anoche ella ________ paella en el restaurante espaol. A pidi B peda C pedi D ped Figure ABC is to be translated to Figure A'B'C' using the rule (x, y) (x2, y+3).Triangle ABC on the coordinate plane with the ordered pairs for A as 1,1, B as 2,5, and C as 3,2.Which coordinates will best represent point B'? (4 points)Image(4, 2)(0, 8)(1, 7)(5, 3) What big change occurred in the Electoral College during this era?The Electoral College was eliminated, allowing people to vote directly for the president.People voted for members of the Electoral College, giving them a say in who would be president.State legislatures voted for members of the Electoral College, who then chose the president. Compton Associates is an architectural firm that has been in practice only a few years. Because it is a relatively new firm, the market for the firm's services is very competitive. To compete successfully, Compton must deliver quality services at a low cost. Compton presents the following data for 2016 and 2017.Compton Associates is an architectural firm that has been inArchitect labor-hour costs are variable costs. Architect support costs for each year depend on the Architect support capacity that Compton chooses to maintain each year (that is, the number of jobs it can do each year). Architect support costs do not vary with the actual number of jobs done that year.Required1. Is Compton Associate's strategy one of product differentiation or cost leadership? Explain briefly.2. Describe key measures you would include in Compton's balanced scorecard and your reasons for doing so. The mean of the data set(9,5,y,2,x) is twice the data set(8,x,4,1,3).what is (y-x) A student is given a small object that is hanging from a ring stand on a nylon thread. The student attempts to charge the object electrically in several ways. Based upon his results, he concludes the object is made of an insulating material. Which set of results must he have collected?A. The object could be charged only by contact.B. The object could be charged by either contact or induction.C. The object could be charged by either contact or polarization.D. The object could be charged only by polarization. Becky is overweight and has decided to live an active lifestyle and start eating healthy. What is she currently experiencing? A. emotional health B. good health C. social health D. wellness Which group contained the Muslim rebels who fought against the Soviet invasion of Afghanistan in the 1980s? a. Taliban b. mujahideen c. al-Qaeda d. Muslim Brotherhood Stomach upset or rashes are examples of unwantedfrom some medicines, what is an example of a soultion ABC is similar to APQ. Find x and y. Which of the following are true?1. Random Fertilization means that any one sperm may fertilize any one egg as a chance event.II. Random fertilization allows for a lot of diversity in offspring.III. Crossing over and independent assortment do NOT affect the diversity of offspring producedby random fertilization.Select one:oa. I and IIIb. II and IIIc. I, II, and IIId. I and II I need help on #5 on my summer packet my teacher never taught me this and I need help. What is a salesperson's commission on a $1000 sale if the commission rate is 20%? What is the discriminant of the quadratic equation 0 = 2x + 3x - 5?-37-314349 how did the bill of rights become part of the constituion if p=7,q=5,r=3 find value of p2+q2-r2 1) Do you think there is/are any action(s) by Jessops Group Limited, that can be considered as a Corporate Social Responsibility (CSR) activity? 2) If yes, can you identify and explain a benefit of the CSR activity to Jessops Group Limited?