if there are 12 eggs per carton, then how many eggs do we have in 5 catons

Answer:

21cm, 24cm and 27cm

Step-by-step explanation:

7+8+9=24

72/24 = 3

7X3 =21

8x3 = 24

9x3 = 27

Assuming that the events of each executive receiving a pay raise are independent, we can use the multiplication rule for independent events to find the probability that all four received a raise.

Let's denote the event that an executive receives a raise by "R". Then, the probability that an executive receives a raise is P(R) = 0.78, and the probability that an executive does not receive a raise is P(not R) = 1 - P(R) = 0.22.

The probability that all four executives receive a raise is:

P(R and R and R and R) = P(R) x P(R) x P(R) x P(R)

= 0.78 x 0.78 x 0.78 x 0.78

= 0.37 or 0.0037 (rounded to 4 decimal places)

Therefore, the probability that all four executives received a raise when they asked for one is approximately 0.0037 or 0.37%.

To learn more about probability refer below:

https://brainly.com/question/32004014

#SPJ11

The standard form of the equation Y=(x-2)² + 4 is written as y=x²-4x+6.

A standard form serves as a gauge for how widely scattered the data is in comparison to the mean.

The data are grouped around the mean when the standard deviation is low.

A parabola with the point at its vertex represents this equation (2,4). On a coordinate plane, the equation can be graphed, revealing a parabola that extends upwards and has a minimum value of 4 at the point (2,4).

The factored version of the equation

Y=(x-2)² + 4 is y =  (x-2) (x-2) + 4

This representation of the equation demonstrates that it is the result of two binomials. When the common element is eliminated, the equation can be made simpler (x-2).

The equation is now more easily expressed as

y = (x-2) (x-2) + 4 = (x-2)² + 4.

Expanded form of the equation

Y=(x-2)² + 4 is expressed as y = x² - 4x + 6.

This representation of the equation demonstrates that it is the outcome of expanding (x-2)².

You may use this equation to determine the vertex of the parabola, which is (2,4). The vertex is the location where the parabola's value is at its lowest.

To know more about standard form click-

brainly.com/question/525947

#SPJ1

Here, we are required to determine how long after the first car accelerates will the cars be side by side.

The cars will be side by side at Time, t = 9.11seconds after the first car accelerates.

The position of each car is given by the function of its distance, i.e C1 and C2.

At the point when the cars are side by side;

C^1(t) must be equal to C^2(t).

Mathematically;

Therefore, we have;

By solving quadratically;

We have ; Time, t = 9.11 seconds. (to the nearest hundredth).

Read more:

https://brainly.com/question/18920363

Mr. Patrick instructs 15 students in math. He discovered that Payton had received a 95 on the test while grading them from average.

There are 15 kids in Mr. Patrick's class. The average score on his most recent exam was 80 for 14 candidates (not including Payton).

I'm going to use x to represent the unknowable sum of the 14 test scores. Average is computed by adding all the numbers in the set (whose average you're trying to get) together, then dividing by the total number of numbers in that set.

This was the total of their scores: x=1120.

Adding Payton's score now (I'll use the letter p to stand in for her score):

1120+p /15=81→ Her test score was included in the fifteen students' average, which was 81 1120+p=1215

P=95.

Learn more about average here

https://brainly.com/question/12322912

#SPJ4

The monthly take-home pay is $2240.83.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To calculate the monthly take-home pay, we need to first find the annual take-home pay and then divide by 12 (since there are 12 months in a year).

We are given that the take-home pay is $1034.65 every two weeks, which means the total take-home pay for a year can be calculated as follows:

annual take-home pay = 1034.65 * 26 = 26889.9

Next, we divide the annual take-home pay by 12 to get the monthly take-home pay:

monthly take-home pay = 26889.9 / 12 = 2240.825

Rounding this to the nearest cent, we get:

monthly take-home pay = $2240.83

Therefore, the monthly take-home pay is $2240.83.

To learn more about Algebraic expression from given link.

brainly.com/question/28884894

#SPJ1

The relative risk of smoking on bronchitis in adults over the age of 40 is 9.

Relative risk is a ratio that is calculated by dividing the probability of an event occurring in an exposed group by the probability of the event occurring in a non-exposed group. The relative risk is used to determine whether an exposure is associated with an increased or decreased risk of disease.

Here, in this question, bronchitis is an event occurring in smokers and non-smokers. Since the event can occur in both smokers and non-smokers, the ratio of the probabilities of event occurrence between smokers and non-smokers can be calculated as follows:

Relative Risk = Frequency of event occurrence in smokers / Frequency of event occurrence in non-smokers

Substituting the given values in the above formula,

Relative Risk = 27 / 3

Relative Risk = 9

Learn more about Relative risk here: https://brainly.com/question/31457458

#SPJ11

Answer:

Infinitely Many Solutions.

Step-by-step explanation:

x+2y=0

6y=-3x

y=-3/6x

y=-1/2x

x+2(-1/2x)=0

x-2/2x=0

x-x=0

0=0

infinitely many solutions

Answer:

53.6°

Step-by-step explanation:

Pretty much just add all the (y)s together then divide by 10.

50+52+51+54+53+57+54+54+55+56=536

536/10 =53.6

the average temperature is 53.6°

Answer:

a. 8 y/s; divide 40(distance) by 5(time)

b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on

c. 80 yards; multiply time and distance 8×10

Answer:

(4, -1)

Step-by-step explanation:

xB = -2+(-2-(-8)) = -2 +6 = 4

yB = 1+(1-3)=1+(-2) = -1

so, the coordinates of point B => (4, -1)

Answer

1

Explanation

4-3=1

Answer:

The answer is 1

I recommend using Symbolab it'll give you your answers a lot faster.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. The value of (cd)(x) is equal to the product of c(x) and d(x) which is equal to,

                                        5(x + 3) / (x - 2)

The function can take all real numbers except 2 because that would make the denominator 0.

2. To answer, substitute first 5 to the given functions,

                     f(x) = 7 + 4x = 7 + 4(5) = 27

                     g(x) = 1/2x = 1 / (2)(5) = 1/10

Dividing 27 by 1/10 is 270.

Answer:

20km/hr East

Step-by-step explanation:

Answer:

Explanation:

solve:

1.

y = 44 - 5 - 3x

y = 39 - 3x

2.

y = 39 - 3x

y = 39 - 3(5)

y = 39 - 15

y = 24

3.

y = 39 - 3x

0 = 39 - 3x

-39 = -3x

x = 13

He can total ride 13 rides before he runs out of money.

Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

\( \frac{x}{5.30} = \frac{70}{100} \)

\(100(x) = 70(5.30)\)

\(100(x) = 371\)

\( \frac{100(x)}{100} = \frac{371}{100} \)

\(x = 3.71\)

\(70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71\)

\(5.30 - 3.71 = 1.59\)

Answer:

$4

Step-by-step explanation:

Because we know that Nancy bought a drink for 2 dollars, and we are just trying to find the cost of the candy bars, we can subtract 2 dollars from the drink from the total cost:

38 - 2 = 36

Now, the 9 candy bars cost 36 dollars, so to find the individual price of each candy bar, we divide 36 by 9:

36 / 9 = 4

So, each candy bar costs 4 dollars

Hope this helps :)

Answer:

4 dollars

Step-by-step explanation:

38 - 2

= 36

36÷9 ( candy bars)

= 4 dollars

Answer:

What do you mean.....???

ex.....0.444444.......

Remove point.... and Write 9 as denominator

that is 4/9

The remainder would be 12 as per the remainder theorem if the function P is defined by P(x) = x³ +7x² - 26x - 72.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

Let   P(x) = x³ +7x² - 26x - 72  ...(i)

Divisor = (x+9)

Apply remainder theorem,

x + 9 = 0

x = -9

Substitute the value of x = -9 in equation (i),

⇒ P(-9) = (-9)³ +7(-9)² - 26(-9) - 72

⇒ P(-9) = (-729) +7(81) - 234 - 72

⇒ P(-9) = -729 + 567 - 234 - 72

⇒ P(-9) = -468

Therefore, the remainder would be -468.

Learn more about the polynomials here:

brainly.com/question/11536910

#SPJ1

When buying shoes for his store, Bob should consider the concept of "demand" as a crucial statistical term.

Demand refers to the quantity of a particular product or service that consumers are willing and able to purchase at a given cost and within a specific time period.

For a shoe store owner like Bob, understanding the demand for different types, styles, and sizes of shoes is essential for making informed buying decisions. By analyzing demand patterns, Bob can identify which shoes are in high demand and ensure he stocks an appropriate quantity to meet customer needs.

This statistical term helps Bob optimize his inventory management, anticipate customer preferences, and make strategic purchasing decisions to maximize sales and minimize excess stock or shortages.

Additionally, Bob may also consider other statistical terms related to the shoe industry, such as "market trends," "customer preferences," "sales forecasting," or "market research."

To know more about cost click here

brainly.com/question/19075809

#SPJ11

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

For similar question on population proportion.

https://brainly.com/question/29516589  

#SPJ8

The second column of the transition matrix is [2, -1].

let's first clarify the given bases:b = {u1, u2} = {[1, 0], [0, 1]}

b' = {uj, u} = {[1, 3], [1, 2]}(a) to find the transition matrix from b' to b, we need to express the vectors in b' as linear combinations of the vectors in b. we can set up the following equation:

[1, 3] = α1 * [1, 0] + α2 * [0, 1]solving this equation, we find α1 = 1 and α2 = 3. , the first column of the transition matrix is [α1, α2] = [1, 3].

next,[1, 2] = β1 * [1, 0] + β2 * [0, 1]

solving this equation, we find β1 = 1 and β2 = 2. , the second column of the transition matrix is [β1, β2] = [1, 2].thus, the transition matrix from b' to b is:

| 1  1 || 3  2 |(b) to find the transition matrix from b to b', we need to express the vectors in b as linear combinations of the vectors in b'. following a similar process as above, we find:

[1, 0] = γ1 * [1, 3] + γ2 * [1, 2]

solving this equation, we find γ1 = -1 and γ2 = 1. , the first column of the transition matrix is [-1, 1].similarly,

[0, 1] = δ1 * [1, 3] + δ2 * [1, 2]solving this equation, we find δ1 = 2 and δ2 = -1. thus, the transition matrix from b to b' is:| -1  2 ||  1 -1 |

(c) the composition of two transition matrices is the product of the matrices. to find the composition, we multiply the transition matrix from b to b' with the transition matrix from b' to b. let's denote the transition matrix from b to b' as t and the transition matrix from b' to b as t'.t = | -1  2 |

   |  1 -1 |t' = | 1  1 |     | 3  2 |

the composition matrix c is given by c = t * t'. calculating the product, we have:c = | (-1*1) + (2*3)   (-1*1) + (2*2) |

   | (1*1) + (-1*3)   (1*1) + (-1*2) |simplifying, we get:

c = | 5  0 |    | -2 -1 |thus, the composition matrix c represents the transition from b to b'.

Learn more about linear here:

https://brainly.com/question/31510530

#SPJ11

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

Learn more about the area of the trapezoidal here:

https://brainly.com/question/1463152

#SPJ4

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

To know more about probability  click on below link :

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

#SPJ11

Answer:

X=3

Step-by-step explanation:

5x - 2 = 13

5x = 15

x = 3

Hope this helps. Pls give brainliest.

Answer:

3

Step-by-step explanation:

5x-2=13

5x=13+2

5x=15

x=15/5

x=3

A 6 pack of bouncy ball costs 2.76$ and the unit price of a bouncy ball is $0.46

To find the unit price of the bouncy balls, we need to divide the total cost by the number of bouncy balls in the pack. Since there are 6 bouncy balls in the pack and the cost is $2.76, we can calculate the unit price as follows: Unit price = total cost ÷ number of units

Unit price = $2.76 ÷ 6

Unit price = $0.46

Therefore, the unit price of a bouncy ball is $0.46.

Unit price is a measure of the cost of a single unit of a product. It is calculated by dividing the total cost of a product by the number of units in the package. The unit price is helpful when comparing the costs of different package sizes or brands of the same product. It allows consumers to make informed decisions about their purchases based on the value they receive for their money. Unit pricing is required by law in some countries, including the United States, to ensure transparency in pricing and to protect consumers from deceptive marketing practices. Overall, knowing the unit price of a product can help consumers save money and make more informed purchasing decisions.

To learn more about unit price click here

brainly.com/question/11383428

#SPJ4

Answer:

es la  

A

Step-by-step explanation:

The length of the legs are 20 cm and 21 cm

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

We know that from the Pythagoras theorem;

\(c^2 = a^2 + b^2\)

Let the hypotenuse be c and the other two sides be a and b

We have that;

\(29^2 = x^2 + (x -1)^2\\841 = x^2 + x^2 - 2x + 1\\841 = 2x^2 - 2x + 1\\2x^2 - 2x + 1 - 841 = 0\\2x^2 - 2x - 840 = 0\\x = -20 or 21\)

Since length can not be negative, x = 21 cm

Thus the other leg is 20 cm

Learn more about hypotenuse:https://brainly.com/question/29407794

#SPJ4

Answer:

$4.25 tax

Step-by-step explanation:

\(85 \times 1.09 + x = 96.90\)

\(x = 4.25\)

a. The standard error of the mean can be determined using the formula:

Standard error of the mean = population standard deviation / square root of sample size

Plugging in the given values, we get:

Standard error of the mean = 25 / square root of 250
Standard error of the mean = 25 / 15.8114
Standard error of the mean = 1.579 (rounded to 3 decimal places)


The standard error of the mean measures the amount of variability or error that is expected in the sample mean when compared to the true population mean. It is calculated by dividing the population

by the square root of the sample size. In this case, the standard error of the mean is 1.579, indicating that the sample mean of 20 is expected to be off by around 1.579 units from the true population mean.

c. To determine the 95% confidence interval for the population mean, we can use the formula:

Confidence interval = sample mean +/- (critical value) x (standard error of the mean)

The critical value can be obtained from a t-distribution table with n-1 degrees of freedom, where n is the sample size. For a 95% confidence interval and 249 degrees of freedom, the critical value is 1.96.

Plugging in the given values, we get:

Confidence interval = 20 +/- (1.96) x (1.579)
Confidence interval = 20 +/- 3.095
Confidence interval = (16.905, 23.095) (rounded to 3 decimal places)


The confidence interval is a range of values that is expected to contain the true population mean with a certain degree of confidence. In this case, we are 95% confident that the true population mean falls within the range of 16.905 to 23.095. This means that if we were to repeat this sampling process many times, 95% of the resulting confidence intervals would contain the true population mean.

To know more about   standard deviation visit:

brainly.com/question/13498201

#SPJ11