When ringing up a customer, a cashier needs 30 seconds to process payment as well as 3 seconds to scan each item being purchased. How long does it take to ring up a customer with 24 items? Write and solve an equation to find the answer.

Answer:

is this ur homework?

Step-by-step explanation:

i need to know

Answer:

1,1. 4,4. 5,5 and. 6,6

Step-by-step explanation:

Because they are all the same numbers :)

If a student answered exactly one question correctly, there is a 93.7% probability that they were well-prepared for the quiz.

Let A be the event that a student is well-prepared and B be the event that a student answered 1 question correctly. We want to find P(A|B), the probability that a student was well-prepared given that they answered 1 question correctly. Using Bayes’ Theorem, we have:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B|A) is the probability of answering 1 question correctly given that the student is well-prepared, P(A) is the prior probability of being well-prepared (0.8), and P(B) is the total probability of answering 1 question correctly.

To compute P(B|A), we note that a well-prepared student has a 85% chance of answering each question correctly. Therefore, the probability of answering exactly 1 question correctly is:

\(P(1 correct | A) = (5 choose 1) * (0.85)^1 * (0.15)^4\) = 0.385

To compute P(B), we use the Law of Total Probability:

P(B) = P(B|A) * P(A) + P(B|A’) * P(A’)

where A’ is the complement of A (i.e., the event that a student is not well-prepared). Since 20% of students are not well-prepared, we have:

\(P(B|A’) = (5 choose 1) * (0.5)^1 * (0.5)^4\) = 0.15625

Therefore,

P(B) = P(B|A) * P(A) + P(B|A’) * P(A’) = 0.385 * 0.8 + 0.15625 * 0.2 = 0.3285

Finally, we can compute P(A|B):

P(A|B) = P(B|A) * P(A) / P(B) = 0.385 * 0.8 / 0.3285 ≈ 0.937

Therefore, if a student answered exactly one question correctly, there is a 93.7% chance that they were well-prepared for the quiz.

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Answer:

\(adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} \)

\( \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} \)

Base

Now

If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

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Answer:I think it is (B)

Step-by-step explanation:

A. Cost Variance:

The Cost Variance (CV) measures the difference between the actual cost incurred and the expected cost for the work completed.

CV = Earned Value (EV) - Actual Cost (AC)

CV = EV - AC

= $1,500 - $1,200

= $300

The Cost Variance (CV) is $300.

B. Cost Performance Index:

The Cost Performance Index (CPI) represents the efficiency of the project in terms of cost.

CPI = EV / AC

Using the given values, we can calculate the CPI.

CPI = EV / AC

= $1,500 / $1,200

≈ 1.25

The Cost Performance Index (CPI) is approximately 1.25.

C. Schedule Variance:

The Schedule Variance (SV) indicates the difference between the work completed and the work that was planned to be completed by this time.

SV = EV - Planned Value (PV)

Planned Value (PV) = Planned Cost × Percentage of Work Completed

= $1,500 × (4/5)

= $1,200

SV = EV - PV

= $1,500 - $1,200

= $300

The Schedule Variance (SV) is $300.

D. Schedule Performance Index:

The Schedule Performance Index (SPI) represents the efficiency of the project in terms of schedule.

SPI = EV / PV

SPI = EV / PV

= $1,500 / $1,200

≈ 1.25

The Schedule Performance Index (SPI) is approximately 1.25.

E. Budget Status:

To determine if the project is over budget or under budget, we compare the Cost Variance (CV) to zero. If CV is positive, it indicates being under budget; if CV is negative, it indicates being over budget.

In this case, CV = $300, which is positive. Therefore, the project is under budget.

F. Schedule Status:

To determine if the project is behind schedule or ahead of schedule, we compare the Schedule Variance (SV) to zero. If SV is positive, it indicates being ahead of schedule; if SV is negative, it indicates being behind schedule.

In this case, SV = $300, which is positive. Therefore, the project is ahead of schedule.

Therefore,

A. The Cost Variance (CV) is $300.

B. The Cost Performance Index (CPI) is approximately 1.25.

C. The Schedule Variance (SV) is $300.

D. The Schedule Performance Index (SPI) is approximately 1.25.

E. The project is under budget.

F. The project is ahead of schedule.

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The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

SINCE YOU WROTE ANYTHING ON MINES IM DOING THE SAME  Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

10-n≤4+3n

-10    -10

-n≤-6+3n

-3n    -3n

-4n≤-6

/-4   /-4

n≥1.5

-hope it helps

Answer:

63.8

Step-by-step explanation:

63.77 so you look at the hundredths 5 or higher round up

63.8 is the required answer

The given number is 63.7786879082, we have to round to the nearest tenth

How to round nearest 10th?

To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value.

63.7786879082

We can see that 100th number i. e 7 is greater than 5, so add 1 to the tenth value

So we get 63.8

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There are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

To find the number of acres in a lot, you can use the following formula:

Number of acres = (length in feet) x (width in feet) / 43,560

First, convert the length and width from miles to feet. There are 5,280 feet in a mile, so:

Length in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Width in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet

Next, plug these values into the formula:

Number of acres = (2,640 feet) x (2,640 feet) / 43,560 = 174,240,000 / 43,560 = 160 acres

Therefore, there are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

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The speed of the man's shadow's tip at a distance of 10 feet from the light's base is given by dy/dt = 10 ft/s.

AB is equal to 15 feet in height.

Man's height in CD is 6 feet.

From the diagram attached, if BE = y, we may use the ratio of related triangles to obtain,

15/y = 6/(y - x) (y - x)

to obtain, cross-multiply;

15(y - x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

To get, multiply both sides by 3.

3y = 5x

separating the two sides according to t provides;

dy = dt + dx = 3.

(5/3)(dx/dt dy/dt)

putting yields for dx/dt at 6 ft/s;

dy/dt = (5/3)(6) (6)

dy/dt equals 10 ft/s

One of the many real-world applications of trigonometry is the study of heights and distance. The terms height and distance are frequently used while discussing the applications of trigonometry.

The following ideas are incorporated in the trigonometry application for height and distance:

Measurement of the separation between two heavenly bodies

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Answer:

16.8

Step-by-step explanation:

Answer:

16.8

Step-by-step explanation:

-3 (-5.6)

= -3 × (-5.6)

= (-5.6) × (-3)

= 16.8

Answer:

X=20 degree

Step-by-step explanation:

∆A+∆D+∆O=180

2x+10+2x+90=180

collect like terms

2x+2x=180-100

4x=80

(4x)/4=(80)/4

x=20 degree

Answer:

\(angles \: of \: triangle \: add \: up \: to \: {180}^{0} \\ {(2x + 10})^{0} + {(2x)}^{0} + {90}^{0} = {180}^{0} \\ 4x = {(180 - 90 - 10)}^{0} \\ 4x = {80}^{0} \\ x = {20}^{0} \)

Answer:

45 maybe

Step-by-step explanation:

it is a right angle . just divide by 2

Answer:

-14x+4x+11y-13y=-10x-2y

-2(5x+y)

Thank give branlist please

Answer:

–10x – 2y

in factorise form

–2(5x + y)

Step-by-step explanation:

–14x + 11y + 4x –13y

= –14x + 4x + 11y –13y

= –10x –2y

i hope this helps

Answer:

yoooo how you guys doing?

We know that an arc is a part of the entire perimeter of a circle.

Radian is defined as a unit of plane angular measurement that is equal to the angle subtended by the circle at the center by an arc that is of the length equal to the radius

We also know that the circle as a whole contains 2π radians

Now first we are required to find the perimeter of the circle

Perimeter of the circle is given by the formula 2πr

Hence, perimeter of the circle = 2πr= 2π x 10 =20π=62.851cm

Hence value of arc in radians = 40/62.851 x 2π =0.636 x 2 π =1.272π

Radian can be converted to degree by multiplying the radian measure by 180/π

Therefore, angle subtended by arc in degrees =1.272 π x 180 /π =229.1 °

Hence the angle subtended by arc is 229.1°

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The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

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Answer:

15

Step-by-step explanation:

Answer:

Esto es igual a igual a 0,6% m

Step-by-step explanation:

3÷100•20

Answer:

C) B>A

Step-by-step explanation:

if it doesn't make sense think of it like the number in between A and B is .5. You can visibly see that A is less than or below .5 and B is above or greater than .5, so B is greater than A.

The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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Answer:

the remaining mass is 7.3 g

Step-by-step explanation:

a=30g

t=200 years

h=98 years

f(98)=a(\((\frac{1}{2})^ \frac{t}{h}\)

f(98)=30(\((\frac{1}{2})^ \frac{200}{98}\)

f(98)=7.3

Answer:

My answer will be 3.

Step-by-step explanation:

The Taylor series for f centered at 4 is f(x) = ∑ (-1)^n/((n!)3^n(n+1)) * (x-4)^n. The radius of convergence r is 3. Since we know f(n)(4) = (-1)^n * n! * 3^n * (n+2), we can use the formula for the Taylor series coefficients to find the Taylor series for f centered at 4:

f(x) = ∑ [f(n)(4) / n!] * (x-4)^n

= ∑ [(-1)^n * 3^n * (n+2)] / n! * (x-4)^n

= ∑ (-1)^n/((n!)3^n(n+1)) * (x-4)^n

Therefore, the Taylor series for f centered at 4 is given by f(x) = ∑ (-1)^n/((n!)3^n(n+1)) * (x-4)^n.

To find the radius of convergence, we can use the ratio test:

lim |(-1)^n/((n!)3^n(n+1)) / (-1)^(n+1)/(((n+1)!)3^(n+1)(n+2))| * |x-4|

= lim (n+2)/(3(n+1)) * |x-4|

= 1/3 * |x-4|

Since the limit is less than 1 when |x-4| < 3, we have convergence within this interval. Therefore, the radius of convergence r is 3.

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The Taylor series for f centered at 4 is f(x) = ∑ (-1)^n/((n!)3^n(n+1)) * (x-4)^n. The radius of convergence r is 3. Since we know f(n)(4) = (-1)^n * n! * 3^n * (n+2), we can use the formula for the Taylor series coefficients to find the Taylor series for f centered at 4:

f(x) = ∑ [f(n)(4) / n!] * (x-4)^n

= ∑ [(-1)^n * 3^n * (n+2)] / n! * (x-4)^n

= ∑ (-1)^n/((n!)3^n(n+1)) * (x-4)^n

Therefore, the Taylor series for f centered at 4 is given by f(x) = ∑ (-1)^n/((n!)3^n(n+1)) * (x-4)^n.

To find the radius of convergence, we can use the ratio test:

lim |(-1)^n/((n!)3^n(n+1)) / (-1)^(n+1)/(((n+1)!)3^(n+1)(n+2))| * |x-4|

= lim (n+2)/(3(n+1)) * |x-4|

= 1/3 * |x-4|

Since the limit is less than 1 when |x-4| < 3, we have convergence within this interval. Therefore, the radius of convergence r is 3.

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Answer:

5/18

Step-by-step explanation:

first you want to flip 2/5 to 5/2 and change the division sign to multiplication so it would look like 1/9 x 5/2

then multiply 1 and 5 then 9 and 2 so the top and bottom to get 5/18

side note: but if it were 1/9 x 3/7 you would change the 3 to a 1 and the 9 to a 3 because they multiply so ask yourself how many times does three go into 9 so it would be 1/3 x 1/7= 1/21

hope this helped :) also what math are you taking bc if it is under algebra 1 or something i can help with any questions you have just message me and ill be happy to help :)

Therefore, the value of "s" that satisfies the given equation three more than the difference of 6s and 5s is equal to the sum of 12 and 6. is 15/4.

A linear equation is one where the variable's maximum power is 1. To put it another way, a linear equation is one that has the form axe + b = 0, where a and b are constants and x is the variable.

The speed of an item travelling straight forward or the pace at which a population is increasing are two examples of real-world scenarios that are equal to the frequently modelled using linear equations. They are rather easy to resolve, and the answers may be obtained by applying fundamental algebraic strategies such isolating the variable and running calculations on both sides of the problem.

In several disciplines, including physics, engineering, and economics, linear equations are used extensively.

How to solve?

Let "s" be the unknown value that we are trying to find.

3 + (6s - 5s) = 12 + 6

3 + (6s - 5s) = 12 + 6

3 + 1s = 18

4s = 15

s = 15/4

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To test the effectiveness and efficiency of the new drug, the drug company will most likely conduct a randomized controlled trial (RCT).

In an RCT, participants are randomly assigned to different groups. In this case, the drug company will randomly select patients from the large group to take the new drug. The purpose of random assignment is to create comparable groups and minimize bias, ensuring that any observed differences between the groups can be attributed to the treatment being tested.

The drug company will likely have two groups in the trial: the experimental group and the control group. The experimental group will receive the new drug being tested, while the control group will receive the approved drug that clears up the infection in five days. This setup allows for a direct comparison between the two drugs.

By randomly assigning patients to either the experimental or control group, the drug company can control for potential confounding variables that may affect the results. This helps ensure that any differences in outcomes between the two groups can be attributed to the specific drug being administered.

During the trial, the drug company will monitor the patients' responses and compare the effectiveness and speed of the new drug to the approved drug. They will collect data on the time it takes for the infection to clear up for each group of patients.

By using a randomized controlled trial, the drug company can gather rigorous scientific evidence on the efficacy of the new drug and determine if it works faster than the approved drug. This type of study design allows for a more reliable evaluation of the new drug's effectiveness, providing valuable information for regulatory authorities, healthcare professionals, and patients.

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Answer:x intercept is where the line is crossing the x axis or where y=0

y intercept is where the line crosses the y axis or where x=0

to find them, set other ting to zero

3/5x+1/3y=1/15

xintercept, set y=0

3/5x+1/3(0)=1/15

3/5x+0=1/15

3/5x=1/15

times 5/3 both sides

x=1/9

xintercept is x=1/9

yintercet

set x=0

3/5(0)+1/3y=1/15

0+1/3y=1/15

1/3y=1/15

times 3/1 both sides

y=1/5

yintercept is y=1/5

xint is x=1/9

yint is y=1/5

Step-by-step explanation:

The equation of line is ( 3/5 )x+ ( 1/3)y = ( 1/15 ) , where x-intercept of the line is ( 1/9 , 0 ) and the y-intercept of the line is ( 0 , 1/5 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

( 3/5 )x+ ( 1/3)y = ( 1/15 )

To find the x-intercept of the line, we set y = 0 and solve for x:

3/5x + 1/3(0) = 1/15

3/5x = 1/15

x = (1/15) ÷ (3/5) = 1/9

So the x-intercept of the line is (1/9, 0)

To find the y-intercept of the line, we set x = 0 and solve for y:

3/5(0) + 1/3y = 1/15

1/3y = 1/15

y = (1/15) ÷ (1/3) = 1/5

So the y-intercept of the line is (0, 1/5)

Hence , the equation of line is solved

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