Divide. Write your answer as a fraction in simplest form.

−10 2/7÷(−4 4/11)= HELP PLS

The probability that less than or equal to 5 of the 10 independent customers will take more than 3 minutes to check out their groceries is approximately 0.9245.

To calculate this probability, we can use the binomial probability formula. Let's denote X as the number of customers taking more than 3 minutes to check out. We want to find P(X ≤ 5) when n = 10 (number of trials) and p (probability of success) is not given explicitly.

Step 1: Determine the probability of success (p).

Since the probability of each customer taking more than 3 minutes is not provided, we need to make an assumption or use historical data. Let's assume that the probability of a customer taking more than 3 minutes is 0.2.

Step 2: Calculate the probability of X ≤ 5.

Using the binomial probability formula, we can calculate the cumulative probability:

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = C(10, 0) * p^0 * (1 - p)^(10 - 0) + C(10, 1) * p^1 * (1 - p)^(10 - 1) + C(10, 2) * p^2 * (1 - p)^(10 - 2) + C(10, 3) * p^3 * (1 - p)^(10 - 3) + C(10, 4) * p^4 * (1 - p)^(10 - 4) + C(10, 5) * p^5 * (1 - p)^(10 - 5)

Substituting p = 0.2 into the formula and performing the calculations:

P(X ≤ 5) ≈ 0.1074 + 0.2686 + 0.3020 + 0.2013 + 0.0889 + 0.0246

P(X ≤ 5) ≈ 0.9928

Rounding this probability to the nearest hundredth/second decimal place, we get approximately 0.99. However, the question asks for the probability that less than or equal to 5 customers take more than 3 minutes, so we subtract the probability of all 10 customers taking more than 3 minutes from 1:

P(X ≤ 5) = 1 - P(X = 10)

P(X ≤ 5) ≈ 1 - 0.9928

P(X ≤ 5) ≈ 0.0072

Therefore, the probability that less than or equal to 5 customers out of 10 will take more than 3 minutes to check out their groceries is approximately 0.0072 or 0.72%.

For more questions like Probability click the link below:

https://brainly.com/question/11234923

#SPJ11

Answer:

-----------------------

40% of the total number is 6.

Find the total number x:

This is approximately 0.283 hours, or 17 minutes. Therefore, it will take the boat approximately 17 minutes to cross the river.

The key to solving this problem is to understand the concept of relative velocity. In this case, the boat's speed relative to the water is 5 km/hr, and the water's speed relative to the shore is also 5 km/hr. Therefore, the boat's speed relative to the shore is the vector sum of these two velocities, which is 0 km/hr. This means that the boat will not make any progress toward the other side of the river unless it angles its course slightly upstream.
To determine the angle required, we need to use trigonometry. Let θ be the angle the boat makes with the direction perpendicular to the river. Then sin θ = 5/5 = 1, so θ = 45 degrees. This means that the boat needs to head upstream at a 45-degree angle to make progress across the river.
Now we can use the Pythagorean theorem to find the distance the boat travels:
d = √(1² + 1²) = √(2) km
Since the boat's speed relative to the shore is 0 km/hr, the time required for the crossing is simply the distance divided by the boat's speed relative to the water:
t = d / 5 = √(2) / 5 hours
This is approximately 0.283 hours or 17 minutes. Therefore, it will take the boat approximately 17 minutes to cross the river.

Learn more about trigonometry here:

https://brainly.com/question/12068045

#SPJ11

Answer:

y = - 2x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y - 3 = 0 ( subtract 2x - 3 from both sides )

y = - 2x + 3 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes, then

y = - 2x + c ← is the partial equation

To find c substitute (1, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - 2x + 1 ← equation of parallel line

The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

To Know more about "probability" refer here:

https://brainly.com/question/30034780#

#SPJ11

Answer:

60

Step-by-step explanation:

80/100 times 75 and you will get 60

Answer:

d28.2643338824, odd as it is 28.27 not 28.26

Step-by-step

1.5×1.5=2.25

2.25xpi=7.0685834706

7.0685834706×4=28.2743338824

rounded, d 28.27?

Answer:

(0,3)

Step-by-step explanation:

y = mx + b

\(y=\frac{1}{2}x+b\)

\(4=\frac{1}{2}(2)+b\)

4 = 1 + b

b = 3

\(y=\frac{1}{2}x+3\)

'b' represents the y-intercept in slope-intercept form. Another point is (0,3)

Answer:

  B. 0, 1, 2, 3

Step-by-step explanation:

You want to know the numbers from 0–9 that could be used to represent success if the probability of success is 40%.

To model a 40% success rate, we want 40% of the possible outcomes to represent success. There are 10 numbers in the range 0–9, so we need to have 40%×10 = 4 of the numbers represent success.

A suitable choice for 4 of the numbers is ...

  0, 1, 2, 3 . . . . . choice B

<95141404393>

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

learn more about graph here

https://brainly.com/question/10712002

#SPJ11

Answer:

It would take 2.5 cups of flour to make 1 loaf of bread.

Step-by-step explanation:

You would 7.5 divided by 3 to get how much it would take for 1 loaf of bread.

7.5/3 = 2.5

it would take 2.5 cups of flour to make 1 loaf of bread.

Answer:

Answer: D. Q(5, −6) and R(−5, 6)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2x + 8 = -6x -(-16)

2x + 8 = -6x + 16

8x = 8

x = 1

Answer:

Step-by-step explanation:

Circumference pf base of cone = 24 inches

2πr = 24

\(r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}\)

Lateral surface area = πrl

\(=\pi *\frac{12}{\pi }*20\\\\=12*20\\\)

= 240 square inches

Answer:

240 square inches

Step-by-step explanation:

Answer:

750 gallons per hour

Step-by-step explanation:

divide 18000 by 24 and you get 750

Answer:

2.1 x 10^5  = 210,000.

Step-by-step explanation:

Convert 2.1 x 10^5 to ordinary form

10^5 = 100000

2.1 = 21/10

Thus.

2.1 x 10^5 = 21/10 * 100000 = 210,000

Ordinary form of 2.1 x 10^5  is 210,000.

Step-by-step explanation:

As we know that,

In area of triangle , breadth =6inch,similarily ,height =8inch

now ,

Area of triangle = 1/2 ×b×h

= 1/2 × 8 ×6

=24inch^2

also,

In another figure,we can say

a=10 inch,b=16 inch and h=9 inch

similarly,

Area of trapizium = 1/2 h(a+b)

= 1/2 ×9(10+16)

=9/2 ×26

=9×13

=117inch^2

now ,

total area of figure =117 +24 =141inch^2

therefore,total area of figure is 141 inch^2

Answer:

Step-by-step explanation:

To have infinitely many solutions, the equation must be an identity, meaning the left-hand side of the equation is equal to the right-hand side for all values of x. In order for this to be true, the coefficients of x on both sides of the equation must be equal.

So, let's simplify the equation and compare the coefficients of x:

2/3(9x - 3) = 2(3x - a)

Multiplying both sides by 3/2, we get:

9x - 3 = 3(3x - a)

Expanding the right-hand side, we get:

9x - 3 = 9x - 3a

Comparing the coefficients of x on both sides, we see that they are equal. Therefore, the value of a that would make the equation an identity and have infinitely many solutions is any value of a, since it would not affect the equality of the coefficients of x.

To confirm, let's substitute a value for a and simplify the equation:

Let's say a = 5. Then:

2/3(9x - 3) = 2(3x - 5)

6x - 2 = 6x - 10

Simplifying further, we get:

-2 = -10

Since this statement is clearly false, we see that the value of a does not affect the equality of the coefficients of x, and therefore any value of a would make the equation have infinitely many solutions.

To give your daughter $50,000 towards her college education in 15 years, you must set aside approximately $14,803.42 today.

To calculate the amount of money you need to set aside today, we can use the concept of future value of a lump sum. The future value is the amount of money an investment will grow to in the future, given a certain interest rate and time period.

In this case, we want to determine the present value (the amount you need to set aside today) to achieve a future value of $50,000 in 15 years, assuming an annual interest rate of 9 percent. The formula to calculate present value is:

Present Value = \(Future Value / (1 + Interest Rate)^T^i^m^e\)

Plugging in the values, we have:

Present Value = \($50,000 / (1 + 0.09)^1^5\)

Present Value ≈ $14,803.42

Therefore, you would need to set aside approximately $14,803.42 today in order to accumulate $50,000 for your daughter's college education in 15 years, assuming an annual interest rate of 9 percent.

Learn more about college

brainly.com/question/16942544

#SPJ11

Answer:

14. :D

Step-by-step explanation:

2 cans of paint is needed to cover the toy chest of 1866 in²

Area is the amount of space occupied by a two dimensional object or figure. Area (A) of rectangle is:

A = length * breadth.

Area of A = 13 * 16 = 208 in²

Area of B = 13 * 25 = 325 in²

Area of C = 25 * 16 = 400 in²

Area of D = 13 * 25 = 325 in²

Area of E = 13 * 16 = 208 in²

Area of F = 25 * 16 = 400 in²

1) Combined Area = 208 + 208 = 416 in²

2) Combined Area = 325 + 325 = 650 in²

3) Combined Area = 400 + 400 = 800 in²

4) Combined Area = 416 + 650 + 800 = 1866 in²

5) Amount of paint = 1866 in² / 933 in² = 2

2 cans of paint is needed to cover the toy chest of 1866 in²

Find out more on Area at: https://brainly.com/question/25292087

Answer:  x=12.8

Step-by-step explanation:

Solution by Cross Multiplication

The equation:

5

8  =  

8

x

The cross product is:

5 * x  =  8 * 8

Solving for x:

x =

8 * 8

5

x = 12.8

Answer:

To solve the proportion 5/8 = 8/x, we can use cross-multiplication, which involves multiplying the numerator of one fraction by the denominator of the other fraction, and vice versa.

So, we have:

5/8 = 8/x

Cross-multiplying, we get:

5x = 8 * 8

Simplifying the right-hand side, we get:

5x = 64

Dividing both sides by 5, we get:

x = 64/5

So the solution to the proportion is:

x = 12.8

Therefore, 8 is proportional to 12.8 in the same way that 5 is proportional to 8.

Learn more about Proportions here:

https://brainly.com/question/30657439

Answer:

Step-by-step explanation:

In this problem, we are to model the equation for the total cost of producing a phone

Given that the fixed cost is $600

Also, the total cost of producing 4 phones in a day is $1600

hence the cost of producing 1 phone would be 1600/4= $400

the equation for producing p phones would be

C= 400P+ 600

This equation is the same as the equation of a straight line Y=mx+c

with C=y

400= m= gradient

P=x, the dependent variable

600= c the constant term.

Answer:

c=250+600

Step-by-step explanation:

Answer:

) Cluster sample.

Step-by-step explanation:

Here are the options

A) Multistage sample.

B) Stratified sample.

C) Cluster sample.

D) Simple random sample.

E) Convenience sample.

A cluster sample is when a population is divided into groups known as clusters. Samples are then randomly selected from this sample. It is a method of probability sampling used for large populations.

The airline first divided the population of travellers by months travelled. this is the cluster. From within the cluster, 10 samples are then chosen

Advantages of a cluster sample

Disadvantages of a cluster sample

GTT's expected market share is 45.45%, NCJ's expected market share is 31.82%, and Dash's expected market share is 22.73%. these percentages add up to 100%, as expected.

To find the long-run expected market share for each company, we need to use the concept of steady-state or equilibrium. In the long run, the market share of each company will remain constant if the number of customers gained is equal to the number of customers lost. This means that the rate of change of each company's market share will be zero.

Let's define the market share of each company at any point in time as follows:

GTT's market share = SGTT

NCJ's market share = SNCJ

Dash's market share = SDash

We can write the equations for the rate of change of each company's market share as follows:

dSGTT/dt = -0.2 SGTT + 0.05 SNCJ + 0.25 SDash

dSNCJ/dt = -0.05 SNCJ + 0.05 SGTT + 0.15 SDash

dSDash/dt = -0.15 SDash + 0.25 SGTT + 0.15 SNCJ

Note that the negative coefficients represent the percentage of customers lost by the company, and the positive coefficients represent the percentage of customers gained by the company.

To find the steady-state values of SGTT, SNCJ, and SDash, we need to set the rate of change of each company's market share to zero:

-0.2 SGTT + 0.05 SNCJ + 0.25 SDash = 0

-0.05 SNCJ + 0.05 SGTT + 0.15 SDash = 0

-0.15 SDash + 0.25 SGTT + 0.15 SNCJ = 0

We can solve these equations to get the steady-state values of SGTT, SNCJ, and SDash:

SGTT = 0.4545

SNCJ = 0.3182

SDash = 0.2273

Therefore, the expected long-run market share for each company is as follows:

GTT's expected market share: 45.45%

NCJ's expected market share: 31.82%

Dash's expected market share: 22.73%

Therefore, these percentages add up to 100%, as expected.

for such more question on equilibrium

https://brainly.com/question/29398344

#SPJ11

Answer:

B

Step-by-step explanation:

6 ^ -7

No, the relationship is neither linear nor exponential.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

Ordered pairs from the table.

(15, 10), (16, 20), (17, 40), and (18, 70)

Now,

The rate of change between two ordered pairs is not the same.

Rate of change between (15, 10) and (16, 20).

= (20 - 10)/(16 - 15)

= 10/1

= 10

Rate of change between (16, 20) and (17, 40).

= (40 - 20)/(17 - 16)

= 20/1

= 20

This shows that it is not a linear relationship.

We can not make it in an exponential form.

i.e y = \(a^x\)

Thus,

The relationship from the table is not linear nor exponential.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Answer:

D. x = 12

Step-by-step explanation:

The standard error of the sample mean is approximately 8.9 pounds.

What is standard error of the sample mean?

Simple division of the standard deviation by the square root of the sample size yields the SEM. By evaluating the sample-to-sample variability of the sample means, standard error determines the accuracy of a sample mean.

To find the standard error of the sample mean, we need to first find the sample mean weight of the students. To do this, we add up the weights of all the students and divide by the number of students:

(128 + 193 + 166 + 147 + 202 + 183 + 181 + 158) / 8 = 171.5

Next, we need to find the variance of the sample. The variance is a measure of the spread of the data around the mean, and is calculated as follows:

       \(variance = ((weight - mean)^2) / (n-1)\)

where weight is the weight of each student, mean is the sample mean weight, and n is the number of students.

Plugging in the values from our data, we get:

variance = (128 - 171.5)^2 + (193 - 171.5)^2 + (166 - 171.5)^2 + (147 - 171.5)^2 + (202 - 171.5)^2 + (183 - 171.5)^2 + (181 - 171.5)^2 + (158 - 171.5)^2 / 7

= 1096.5

Finally, we can find the standard error of the sample mean by taking the square root of the variance and dividing by the square root of the number of students:

                \(standard\ error = \sqrt{(variance / n)} \\\\= \sqrt{1096.5 / 8 )\\\\=8.9\)

So, The standard error of the sample mean is approximately 8.9 pounds.

To know more about standard error of the sample mean visit,

https://brainly.com/question/14467769

#SPJ4

The population of interest in this study is the youth population aged 15-24 years in British Columbia.

b) The sampling frame in this study is the list of colleges and high schools that were visited by the police department.

c) The bias in this survey is called social desirability bias.

Many students who have used cannabis may be afraid or hesitant to admit it to a uniformed police officer due to social stigma, fear of legal consequences, or other reasons.

This can lead to underreporting or inaccurate reporting of cannabis use.

d) The bias that can result from the sampling frame used is known as selection bias.

The sample of students selected may not be representative of the entire youth population in British Columbia.

For example, if certain schools or colleges were excluded from the sampling frame, it may not provide a comprehensive representation of all youth in the province.

To know more on Desirability bias visit:

https://brainly.com/question/30778912

#SPJ11