Asha bought 60 fruit baskets.

25% of the fruit baskets have 12 pieces of fruit in each basket.

The remaining 75% of the baskets have 15 pieces of fruits in each basket.

Answer:

\(f(x)=|x+5|-1\)

Step-by-step explanation:

The graph depicted is moved 5 left and 1 down from the parent function.

When the graph is horizontally moved(x axis), it is inside the absolute value signs. So it cannot be \(f(x)=|x-1|-5\) or \(f(x)=|x+1|-5\)

You ask, why is it not \(f(x)=|x-5|-1\) ? The graph is moved left by 5 after all.

Because when the graph is moved right by 5, it is |x-5| and when its moved left by 5, it is |x+5|

Answer:

Average rate of change = 5

Step-by-step explanation:

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

Option A.) 1055.66 lbs

Step-by-step explanation:

Answer:

9 years

Step-by-step explanation:

Losing 15 % means 85% remains

  so multiply each year's value by .85 to find the current value

       after 'n'  years it will be  24300 * .85^n

when will it be 5600 ?

    5600 = 24300 * .85^n

     5600/24300  = .85^n  

             now you need to take the log of both sides and solve for 'n'  years

  log ( 5600/24300) / log(.85) = n = 9.031 = ~~ 9 years

The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

To know more about nominal, visit:

https://brainly.com/question/27994820

#SPJ11

Data from a voluntary response sample, which is not representative of the population, are included in the histogram.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. Each column's data count or percentage of occurrences are shown on the vertical y-axis. Data distribution patterns can be seen visually using columns.

A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.

Histograms show numerical or quantitative data, whereas bar charts show categorical factors.

Therefore, the correct answer is option b) The histogram includes data from a voluntary response sample which is not representative of the population.

To learn more about histogram refer to:

https://brainly.com/question/25983327

#SPJ1

Answer:

30.807

Step-by-step explanation:

$4.89 x $6.3= 30.807

Answer:

(x+3)=10+2

x=12-3

x=9

Answer:

-2x-6=-10

-2x=-10+6

-2x=-4

x=-4/-2

x=2

Step-by-step explanation:

Probably a cylinder would work best

volume of a cylinder = pi r^2 h

The probability p that exactly two of the n people in the party will have the same birthday is given by the expression:

\($p=1 - \frac{(365!)}{(365-n)!365^n\times(n-1)!}$\)

where n represents the number of people at a party, and the probability of each person having the same birthday is considered to be 1/365 for each person.

Let's see how to derive the above expression using the concept of probability.

If n is the total number of people at the party, then the probability that none of them have the same birthday is given by:

\($\frac{365}{365} \times \frac{364}{365} \times \frac{363}{365} \times ...\times\frac{(365-n+1)}{365}$\)

$= \frac{_{365}P_{n}}{365^n}$where $_{365}P_{n}$ \($= \frac{_{365}P_{n}}{365^n}$where $_{365}P_{n}$\) denotes the number of permutations of n distinct objects chosen from a set of 365 distinct objects.

Now, let's calculate the probability that at least two people will have the same birthday. We can do this by subtracting the probability that no two people have the same birthday from 1.

\($p = 1 - \frac{_{365}P_{n}}{365^n}$\)

Next, we can simplify this expression further by using the formula for n-1 objects to be distributed among r bins:

\($\frac{(n-1)!}{(r-1)!(n-r)!}$\\\)

In this case, we want to distribute n people into 365 bins (each representing a unique birthday). Since we only care about the case where exactly 2 people share the same birthday, we can choose the 2 people first in \($^nC_{2}$\) ways, and then distribute the remaining n-2 people into 365 bins in \($365^{n-2}$\) ways.

Therefore, the probability that exactly 2 people will have the same birthday is given by:

\($p = \ ^{n}C_{2} \times \frac{(365^{n-2})}{365^n}$\)

\($= \frac{n!}{2!(n-2)!} \times \frac{1}{365^2}$\)

\($= \frac{n(n-1)}{2} \times \frac{1}{365^2}$\)

Substituting this value in the previous expression, we get:

\($p = 1 - \frac{(365!)}{(365-n)!365^n\times(n-1)!}$\)

Therefore, the probability p that exactly two of the n people in the party will have the same birthday is given by:

\($p=1 - \frac{(365!)}{(365-n)!365^n\times(n-1)!}$\)

To know more about the "probability": https://brainly.com/question/25870256

#SPJ11

Answer:

108 and 150

Step-by-step explanation:

108/3=36

150/3=50

Answer:

$14

Step-by-step explanation:

Let Joe have $x

Then Nate would have $(x-5)

They both have $(x + (x-5)  which is equal to $43

                           $(x + x -5) = $43

                           $2x - $5 = $43

                            $2x = $(43 - 5)

                           $2x = $38

Divide both sides by $2

                               x = 19 (Joe has $19)

:. Nate has $(19 - 5) = $14.

Nate have 24 dollars.

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Suppose that Jo has x dollars of amount, and

Nate has y dollars of the amount

Given that Jo had $5 more than Nate and together they had $43

x + 5 = y  ,

x + y = 43,

Substitute the value of y in the equation x + y = 43,

x + 5 + x = 43

2x = 43 - 5

2x = 38

Divide both sides by 2

x = 19

Now substitute the value of y = 19 in the equation x = y +5,

So, y = 19 + 5

y = 24

Hence, Nate have 24 dollars.

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Answer:

2,130

Step-by-step explanation:

get 3% of 1500 then multiply by 14 and add 1500.

Answer:

Standard Deviation = 3.22

Variance = 10.36

Step-by-step explanation:

x          P(x)           x × P(x)              x²             x² × P(x)

19         0.20           3.8                  361               72.2

10         0.20             2                   100                20

11          0.30           3.3                   121                36.3

12         0.20           2.4                   144               28.8

13          0.10            1.3                   169                16.9

____________________________________________

                            12.8                                         174.2            => Total

Mean Formula

\(\mu_x = \sum(x \times P(x))\) \(= 12.8\)

\(\mu_x^2 = 163.84\)

Variance Formula

\(\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2\)      

   \(= 174.2- 163.84\\\\=10.36\)

Standard Deviation Formula

\(Standard\ deviation, \ \sigma_x = \sqrt{Variance}\)

                                   \(=\sqrt{10.36}\\\\=3.218\)      

Answer:

x=-5

Step-by-step explanation:

6x+4=5x-1

x+4=-1

x=-5

Answer:

First box:

1/8 of 5, 5 x 1/8, 5 divided by 8

Second Box:

8 divided by 5, 1/5 of 8,

Third Box:

5 x 8

Step-by-step explanation:

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

Learn more about the range at https://brainly.com/question/24326172.

#SPJ1

Hector and Gabrielle will have $638.45 in their savings account after two years of earning 13% interest compounded annually. They will be able to spend up to this amount on their trip.

To solve this problem, we need to use the formula for compound interest:

A = \(P(1 + r/n)^{(nt)\)

where:

A = the final amount

P = the initial deposit

r = the annual interest rate as a decimal

n = the number of times interest is compounded per year

t = the time in years

In this case, we have:

P = $500.00

r = 13% = 0.13 (as a decimal)

n = 1 (compounded annually)

t = 2 years

So, we can plug these values into the formula:

A = $500.00(1 + 0.13/1)²

A = $500.00(1.13)²

A = $500.00(1.2769)

A = $638.45

To learn more about interest click on,

https://brainly.com/question/29142044

#SPJ1

The probability that the spinner is multiple of 4 or multiple of 7 is 1/3

Probability is the likelihood or chance that an event will occur, Mathematically;

Probability = expected/total

If a game has a spinner with 15 equal sectors labeled 1 through 15, the total outcome is 15

P(multiple of 4) = 3/15 =1/5

Pr(multiple of 7 )= 2/15

p(multiple of 4 or multiple of 7) = 1/5 + 2/15
p(multiple of 4 or multiple of 7) = 5/15 =1 /3

Hence the probability that the spinner is multiple of 4 or multiple of 7 is 1/3

Learn more on probability here: https://brainly.com/question/25870256

#SPJ4

The correct sequence of steps that Mark must take to manage his time, tasks, and resources optimally in order to complete the project is as follows: Define project goals and objectives, Break down the project into tasks, Set deadlines and milestones, Prioritize tasks, Allocate resources, Create a project schedule, Communicate and delegate, Monitor progress, Manage risks, and Review and adapt.

To ensure that Mark manages his time, tasks, and resources optimally in order to complete the project, he should follow these steps in the correct sequence:

Define project goals and objectives:

Clearly establish what needs to be achieved with the project, including specific goals and objectives that align with the overall project vision.

Break down the project into tasks:

Identify all the necessary tasks and activities required to complete the project.

This helps in creating a structured plan and understanding the scope of work.

Set deadlines and milestones:

Determine key deadlines and milestones for different phases of the project to ensure progress tracking and timely completion.

Prioritize tasks:

Assess the importance and urgency of each task and prioritize them accordingly.

This helps in focusing on critical activities and managing time effectively.

Allocate resources:

Identify and allocate the necessary resources such as budget, manpower, and materials to each task.

Ensure that resources are available when needed and properly utilized.

Create a project schedule:

Develop a detailed schedule that outlines the start and end dates of each task, dependencies, and the overall project timeline.

This facilitates better time management and coordination.

Communicate and delegate:

Maintain open communication with team members, stakeholders, and clients to share project updates, clarify expectations, and delegate tasks effectively.

This ensures everyone is aligned and working towards the project's success.

Monitor progress:

Regularly track and monitor the progress of tasks and milestones against the project schedule.

This allows for early identification of potential issues and enables timely adjustments or corrective actions.

Manage risks:

Identify potential risks and develop contingency plans to mitigate their impact.

Regularly assess and manage risks throughout the project lifecycle.

Review and adapt:

Conduct periodic project reviews to evaluate progress, identify lessons learned, and make necessary adjustments to optimize performance and outcomes.

By following these steps in the correct sequence, Mark can effectively manage his time, tasks, and resources, leading to a successful project completion.

For similar question on objectives.

https://brainly.com/question/28108447  

#SPJ8

Answer:

36x + 125 =?

40x + 90 =?

Step-by-step explanation:

Answer: \(54\dfrac1{20}\text{ inches}\)

Step-by-step explanation:

Given:  Height of Louise  = \(56\dfrac34 \text{ inches }=\dfrac{4\times56+3}{4}=\dfrac{227}{4}\text{ inches}\)

Then , height of Theresa = Height of Louise  \(-1\dfrac{1}{2}\text{ inches}\)

\(=\dfrac{227}{4}-\dfrac{3}{2}\text{ inches}\\\\=\dfrac{227-6}{4}=\dfrac{221}{4}\text{ inches}\)

Height of jane = height of Theresa - \(1\dfrac15\) inches

\(=\dfrac{221}{4}-1\dfrac15\text{ inches}\\\\=\dfrac{221}{4}-\dfrac{6}{5}\text{ inches}\\\\=\dfrac{5\times221-6\times4}{20}\text{ inches}\\\\=\dfrac{1105-24}{20}=\dfrac{1081}{20}\text{ inches}\\\\= 54\dfrac1{20}\text{ inches}\)

Hence,  Jane is  \(54\dfrac1{20}\text{ inches}\) tall.

The length of the base edge of the square pyramid is 6 feet.

The surface area of a square pyramid is 96 square feet. The height is two thirds of the length of the base edge.

The length of the base edge can be found as follows:

Hence,

surface area of square pyramid = a² + 2al

where

Therefore,

using Pythagoras's theorem, let find the slant height of the pyramid.

c² = a² + b²

where

Hence,

height = 2 / 3 a

Therefore,

l² = (2 / 3 a)² + (1 / 2a )²

l² = 4 / 9 a² + 1 / 4 a²

l² = 25 / 36 a²

square root both sides

l = 5 / 6 a

Hence,

surface area of square pyramid = a² + 2a(5 / 6 a)

surface area of square pyramid = a² + 10 / 6 a²

surface area of square pyramid = 16 / 6 a²

96 = 16 / 6 a²

96 = 8 / 3 a²

cross multiply

96 × 3 = 8a²

288 / 8 = a²

a² = 36

a = √36

a = 6 feet

Therefore, the base length is 6 feet.

learn more on square pyramid here: https://brainly.com/question/29330401

#SPJ1

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:   C

Step-by-step explanation:

hope this helped

Answer:  1:7

Step-by-step explanation:

Given,

A : B = 2 : 3

B : C = 5 : 7

C : D = 3 : 10

To Find : A : D = ?

Step 1 : Find Value of B using A : B = 2 : 3

Step 2 : Substitute value of B in equation number 1 to find value of A:C ?

Step 3 : Get Value of C from equation C : D = 3 : 10

Step 4 : Substitute value of C in equation (iii)

This Gives as value of A:D = 1:7

The present ages of Raj and his daughter are respectively: 42 years and 12 years.

Present Age of Raj =y years

Present Age of daughter =x years

According to Question :

7 Years ago,

y − 7 = 7(x − 7)

⇒ 7x − y − 42 = 0.............(1)

And 3 Years from now

y + 3 = 3(x + 3)

⇒ 3x − y + 6 = 0............(2)

From eq (1) and eq (2)

Subtract eq 2 from eq 1 to get:

7x − 3x − y + y − 42 − 6 = 0

⇒ 4x = 48

⇒ x = 12

Putting x = 12 in Equation (2). we get,

(3 × 12) − y + 6 = 0

⇒ y = 42

Read more about Algebra Word Problems at: https://brainly.com/question/21405634

#SPJ1