the flour joanna busy comes in 5 pound bags. one cup of flour weights about 3/10 pound. howe many cups are in each bag of flour? show your work.

Mark's football team has scored about 24 points each game. They played 12 games this season. The best estimate for the total number of points they scored in the season is 288.

There are various types of questions that can be solved with the help of estimation, such as population estimation, test score estimation, estimation of the number of litres of paint needed to paint a room, or how many points a football team scored in a season.

Estimation is an educated guess based on prior knowledge, experience, and reasoning about how much something should be. It's an essential tool for simplifying math problems and assisting in quick calculations.

As per the question, the football team scored about 24 points per game, and the total number of games played in the season was 12.

To find the best estimate of the total number of points scored by the team in the season, we will have to multiply the points scored per game (24) by the total number of games played (12). This can be represented as:

24 × 12 = 288

Thus, Mark's football team scored an estimated 288 points in the season.

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The function f(x) = -5x^2 is not a linear transformation.

To determine if f(x) is a linear transformation, we need to check two conditions:

f(x + y) = f(x) + f(y)

f(cx) = c(f(x))

Let's evaluate these conditions for the given function:

f(x + y) = -5(x + y)^2 = -5(x^2 + 2xy + y^2) = -5x^2 - 10xy - 5y^2

f(x) + f(y) = -5x^2 + (-5y^2) = -5x^2 - 5y^2

The two expressions -5x^2 - 10xy - 5y^2 and -5x^2 - 5y^2 are not equal, so f(x + y) is not equal to f(x) + f(y). Therefore, the condition f(x + y) = f(x) + f(y) is not satisfied, indicating that f(x) is not a linear transformation.

f(cx) = -5(cx)^2 = -5c^2x^2

c(f(x)) = c(-5x^2) = -5cx^2

The two expressions -5c^2x^2 and -5cx^2 are not equal, so f(cx) is not equal to c(f(x)). Thus, the condition f(cx) = c(f(x)) is also not satisfied.

Since both conditions for a linear transformation are not fulfilled, we can conclude that f(x) = -5x^2 is not a linear transformation.

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Answer: 2,002 different 5-member committees of juniors

Step-by-step explanation:

       We can solve this question with the given formula for combinations (since all juniors have an equal chance of being selected):

➜ n is the number of juniors

➜ r is the number of juniors in the committee

\(\displaystyle _nC_r=\frac{n!}{r!(n-r)!}\)

       We will substitute our known values and solve. This formula is quite simple if you substitute all the known values and compute, however, I have written out each step below so you can see how this formula works.

\(\displaystyle _nC_r=\frac{n!}{r!(n-r)!}\)

\(\displaystyle _nC_r=\frac{14!}{5!(14-5)!}\)

\(\displaystyle _nC_r=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{5!(9)!}\)

\(\displaystyle _nC_r=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(5*4*3*2*1)(9*8*7*6*5*4*3*2*1)}\)

\(\displaystyle _nC_r=\frac{87,178,291,200}{(120)(362,880)}\)

\(\displaystyle _nC_r=\frac{87,178,291,200}{43,545,600}\)

\(\displaystyle _nC_r=2,002\;\text{\;\;different\;\;committees}\)

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P(A) = P(6) = 0.003

answer: 0.003

Centralized training means that training and development programs, resources, and professionals are primarily housed in a single location and that decisions about training investment, programs, and delivery methods are made from that department.

The term that describes the situation where training and development programs, resources, and professionals are primarily housed in a single location and decisions about training investment, programs, and delivery methods are made from that department is Centralized training is leverages one corporate training function that usually reports to one person, such as a chief learning officer. Centralized training functions assume accountability for managing learning and development throughout the organization.

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Answer:

1000xm

Step-by-step explanation:

1 meter = 3.2808 feet, hence. 9.8424 x 10^8 feet in 1 second. 1 foot in x seconds. hence it takes 1 / (9.8424 x 10^8) = 0.10168 x 10^(-8) seconds. ➡️1km = 1000xm⬅️

It will take light approximately 3.0 x 10⁻⁵ seconds to travel one meter.

To find out how long it will take light to travel one meter, we need to convert the given distance of 10,000 km to meters and the time of 3.0 x 10² seconds to seconds.

Given:

Distance traveled by light = 10,000 km

Time taken by light = 3.0 x 10² seconds

To convert km to meters, we know that 1 km = 1 x 10³ m, so:

10,000 km = 10,000 x 1 x 10³ m = 1 x 10⁷ m

Now, we can find the time taken to travel one meter by dividing the total time by the total distance:

Time taken to travel one meter = Total time / Total distance

Time taken to travel one meter = (3.0 x 10² seconds) / (1 x 10⁷ m)

To simplify the expression, we can cancel out one factor of 10 from the numerator and denominator:

Time taken to travel one meter = (3.0 x 10) / (1 x 10⁶ m)

Now, we get the final answer:

Time taken to travel one meter = 3.0 x 10⁻⁵ seconds

So, it will take light approximately 3.0 x 10⁻⁵ seconds to travel one meter.

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If baskets B and C are on the same indifference curve and preferences satisfy all four of the basic assumptions in economics, it means that the individual considers both baskets equally preferable and is indifferent between them.

In economics, an indifference curve represents a set of combinations of goods or baskets that provide the same level of utility or satisfaction to an individual. If baskets B and C are on the same indifference curve, it means that the individual derives the same level of satisfaction from both baskets.

The four basic assumptions in economics regarding preferences are completeness, transitivity, more is better, and diminishing marginal rate of substitution. Completeness assumes that individuals can rank any two baskets in terms of preference. Transitivity suggests that if an individual prefers basket A to B and basket B to C, then the individual also prefers basket A to C. The assumption of "more is better" implies that individuals prefer more of a good to less. Diminishing marginal rate of substitution posits that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.

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The complete question is:

Consider the following three market baskets:

Food Clothing

A 6 3

B 8 5

C 5 8

If preferences satisfy all four of the basic assumptions:

A. A is on the same indifference curve as B.

B. B is on the same indifference curve as C.

C. A is preferred to C.

D. B is preferred to A.

E. Both A. and B. are correct.

Answer:

y=5x

Step-by-step explanation:

Because it has the same slope, both equations must have 5x as their slope. The 2 equations are not going to have the same y intercept, so the +3 can be ignored and replaced with b. You want to plug in (1,5) into you new equation of y=5x+b, to get 5=5(1)+b. Multiply 5 by 1 to get 5, and then subtract 5 from both sides, which gives you 0=b. This means that the y intercept is the origin, so your new equation is y=5x

Answer:

the answer is 6

Answer:

2/5 off = 40% off

Step-by-step explanation:

Answer:

It would be 40%.

Step-by-step explanation:

Think of it like a 5 question test. 5/5 would be 100%, 4/5 would be 80%, 3/5 would be 60%, 2/5 is 40%.

Answer:

Step-by-step explanation:

The probability of a continuous random variable taking any specific value is always zero, so the statement p(x = 15) = 0.05 is false.

Answer:

84 m^2

Step-by-step explanation:

SA = πr^2 + πrs

r = 4.42 rounding to the nearest whole number = 4

s = 2.61 rounding to the nearest whole number = 3

pi = 3.14 rounding to the nearest whole number = 3

SA = 3 * 4^2 + 3 * 4*3

     = 3 *16+ 12*3

     = 48+ 36

     = 84 m^2

Answer:

84 m squared

Step-by-step explanation:

I took the quiz on T4L

we have the following:

Answer: x=1, y=2

Step-by-step explanIation:

I hope this is right  :)

The kernel of the linear transformation T consists of all polynomials of the form: p(x) = a0 + a1(x - x²) + a3x² where a0, a1, and a3 are any real numbers.

To find the kernel of the linear transformation T, we must find all the polynomials in P3 that, when T is applied to them, result in zero (the zero vector in R). In other words, we need to find all polynomials p(x) = a0 + a1x + a2x² + a3x³ such that T(p(x)) = 0.

Given the transformation T(a0 + a1x + a2x² + a3x³) = a1 + a2, we can set the transformation equal to 0 and solve for the coefficients:

a1 + a2 = 0

Now, we can rewrite this equation in terms of a2:

a2 = -a1

Now, let's express p(x) using this relationship:

p(x) = a0 + a1x - a1x² + a3x³

Since a0 and a3 are not involved in the transformation, they can be any real numbers. Therefore, the kernel of the linear transformation T consists of all polynomials of the form:

p(x) = a0 + a1(x - x²) + a3x³

where a0, a1, and a3 are any real numbers.

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= -15 - 4 × (-3)

= - 15 + 12

= -3

======================================================

Work Shown:

f ''' (x) = cos(x) .... third derivative

f '' (x) = sin(x)+C ... integrate both sides to get second derivative. Don't forget the +C at the end

We are given f '' (0) = 9, so we'll make use of this to find C

f '' (x) = sin(x)+C

f '' (0) = sin(0)+C

9 = sin(0) + C

9 = 0 + C

9 = C

C = 9

Therefore, f '' (x) = sin(x)+C turns into f '' (x) = sin(x)+9

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

Integrate both sides of the second derivative to get the first derivative function

f '' (x) = sin(x)+9

f ' (x) = -cos(x)+9x+D ... D is some constant

Make use of f ' (0) = 4 to find D

f ' (x) = -cos(x)+9x+D

f ' (0) = -cos(0)+9(0)+D

4 = -1 + 0 + D

D = 5

So we have f ' (x) = -cos(x)+9x+D turn into f ' (x) = -cos(x)+9x+5

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

Lastly, apply another round of integrals and substitutions to find the f(x) function. We'll use f(0) = 8.

f ' (x) = -cos(x)+9x+5

f(x) = -sin(x) + (9/2)x^2 + 5x + E .... E is some constant

f(0) = -sin(0) + (9/2)(0)^2 + 5(0) + E

8 = 0 + 0 + 0 = E

E = 8

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

We have

f(x) = -sin(x) + (9/2)x^2 + 5x + E

turn into

f(x) = -sin(x) + (9/2)x^2 + 5x + 8

Answer:

A. R180 degree rotation

Step-by-step explanation:

if you think about a graph, it has four quadrants, so imagine each of the quadtrants, being an add on of 90 degrees from the one you started on, so if you started in the double negative quatrant in the bottom left, it would take two quadrants to go in a circle to get to the full positive quadrant, making this, a 180 degree rotation

Answer:

For two linear equations : a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0;

To determine if two such straight lines are parallel, then you should check for the following conditions :

a₁/a₂ = b₁/b₂ ≠ c₁/c₂ , where a,b are coefficients of x and y for each line.

if this condition is true for the coefficients of x,y, and the intercept of lines (c₁ and c₂) then they are parallel.

for instance,

let's say we have two lines :

x + 2y - 4 = 0,

2x + 4y - 12 = 0;

Now to check if they are parallel you simply check if the condition for parallel lines is met or not.

for these two lines :

a₁ = 1 , b₁ = 2, and c₁ = -4;

a₂ = 2, b₂ = 4, and c₂ = -12;

evaluating the values in the condition we have :

\(\frac{1}{2}\) = \(\frac{2}{4}\) ≠\(\frac{-4}{-12}\) ;

since the condition for parallel is true for these two lines, we can conclude they are parallel.

(a) To find the percentage of college presidents receiving an annual housing provision exceeding $45,000 per year, we need to calculate the probability of a value greater than $45,000 based on the given normal distribution with a mean of $50,000 and a standard deviation of $5,000.

(b) To find the percentage of college presidents receiving an annual housing provision between $39,500 and $47,200 per year, we calculate the probability of a value falling within this range based on the normal distribution.

(c) To determine the housing provision such that 17.36% of college presidents receive an amount exceeding this figure, we find the corresponding value of the housing provision using the cumulative distribution function (CDF) of the normal distribution.

(a) Using the normal distribution, we can calculate the probability of a value exceeding $45,000 by finding the area under the curve to the right of $45,000. This can be done by standardizing the value using the formula z = (x - μ) / σ, where x is the value ($45,000), μ is the mean ($50,000), and σ is the standard deviation ($5,000). Then, we can look up the corresponding z-score in the standard normal distribution table to find the probability.

(b) To calculate the percentage of college presidents receiving an annual housing provision between $39,500 and $47,200 per year, we need to find the probabilities of values falling below $47,200 and $39,500 separately and then subtract the two probabilities. Similar to (a), we standardize the values and use the standard normal distribution table to find the probabilities.

(c) To find the housing provision such that 17.36% of college presidents receive an amount exceeding this figure, we need to find the value that corresponds to the 17.36th percentile of the normal distribution. This can be done by finding the z-score that corresponds to the desired percentile using the standard normal distribution table, and then converting it back to the original scale using the formula x = μ + zσ, where x is the desired value, μ is the mean, z is the z-score, and σ is the standard deviation.

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Answer:

8

Step-by-step explanation:

Let the number be n

6*n = 16 + 4*n

6n = 16 + 4n

6n - 4n = 16

2n = 16

2n/2 = 16/2

n = 8

If buses arrive at stop at "15-minute" intervals, then the probability that he waits more than 10 minutes for a bus is "1/3".

Let us denote the arrival-time of the passenger by X, where X is uniformly distributed between 7am and 7:30am. hence, the probability-density-function (pdf) of "X" is written as :

f(x) = 1/30, for 7am ≤ x ≤ 7:30am

f(x) = 0, otherwise

We observe that, the passenger will wait for more than 10 minutes for a bus only if he arrives between 7:00 a.m. and 7:05 a.m. , or between 7:15 a.m. and 7:20 a.m.

So, the probability for waiting time can be written as ;

⇒ \(\int\limits^5_0 {\frac{1}{30} } \, dx\) + \(\int\limits^{20}_{15} {\frac{1}{30} } \, dx\),

⇒ (1/30)(5 - 0) + (1/30)(20 - 15);

⇒ 1/3.

Therefore, the required probability is 1/3.

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The given question is incomplete, the complete question is

Buses arrive at a specified stop at 15-minute intervals starting at 7am. If a passenger arrives at the stop at a time that is uniformly distributed between 7am and 7:30am, find the probability that he waits more than 10 minutes.

Answer:

its c.7

Step-by-step explanation:

I took the quiz

Answer:

c. 7

Step-by-step explanation:

i had this quiz also

The simplified expression for sin x/csc x + cos x/sec x is 1.

Trigonometric expression in terms of sine and cosine, and then simplify Cot theta/csc theta - sin theta:

Expression in terms of sine and cosine:

Cot theta / csc theta - sin theta= (cos theta/sin theta) / (1 / sin theta) - sin theta

Cot theta / csc theta - sin theta = cos theta - sin^2theta / sin theta

Given, Cot theta/csc theta - sin theta

We know that Cot(theta) = Cos(theta)/Sin(theta), and Cosec(theta) = 1/Sin(theta)

Using these identities, we can write the expression as follows:

Cot(theta)/Cosec(theta) - Sin(theta) = Cos(theta)/Sin(theta) / (1/Sin(theta)) - Sin(theta)

Cot(theta)/Cosec(theta) - Sin(theta) = Cos(theta) - Sin^2(theta) / Sin(theta)

Therefore, the simplified expression is (Cos(theta) - Sin^2(theta))/Sin(theta).cos^3x + sin^2x x cosx

We know that sin^2x = 1 - cos^2x

Therefore, the given expression becomes cos^3x + (1 - cos^2x) x cosx= cos^3x + cosx - cos^3x= cosx

Therefore, the simplified expression is cosx.

Sin x/csc x + cos x/sec x

We know that csc x = 1/sin x and sec x = 1/cos x

Therefore, the given expression becomes Sin x/(1/sin x) + cos x/(1/cos x)= sin x^2 + cos x^2= 1

Therefore, the simplified expression is 1.

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The function, g(x), has a constant rate of change and will increase at a faster rate than the function f(x) for all the values of x.  

Given:

g(x) = 5/2 x -3 ..... (1)

f(x) = - 3.5 at x = 0

So, putting the value of x=0 in equation (1) for comparison. We get,

g(x) at x = 0

=> g(x) = 5/2 x (0) - 3

=> g(x) = -3

In this value of x function g(x) is faster than function f(x) having a value equal to -3.5.

Similarly, put x = 1 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (1) - 3

=> g(x) = (5-6)/2

=> g(x) = -1/2

In this value of x function g(x) is faster than function f(x) having a value equal to -1.

Similarly, put x = 2 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (2) - 3

=> g(x) = (5-3)

=> g(x) = 2

In this value of x function g(x) is faster than function f(x) having a value equal to 1.5.

Similarly, put x = 3 in equation (1) for comparison. We get,

=> g(x) = 5/2 x (3) - 3

=> g(x) = (15/2 - 3)

=> g(x) = 7.5 - 3

=> g(x) = 4.5

In this value of x function g(x) is faster than function f(x) having a value equal to 4.

Therefore, for all values of x function g(x) is faster than function f(x).

function f(x).

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Answer:

Are also equal

Step-by-step explanation:

Say triangle A has the angles 30 and 60. triangle b also has those angles. Total angle of any triangle is 180 so 180-60-30 = 90 for triangle A and it is also the same for triangle b. Thus 90 = 90 angles are the same.

Answer:

-5/12 and -7/17

Step-by-step explanation:

Change -3/4 so that the denominator is 12 and then you can subtract

Answer:

C.x+8=3x

hope it helps.