Daniel works at least 28 hours a week. He works as a math tutor
and as a teacher. The number of hours Daniel works as a tutor (y) is at least twice
the number he works as a teacher (x).
Write the set of inequalities that represents the constraints of the situation
and state a point (x, y) that is the feasible region.

At least 10 people or guests could go to a party and the second caterer is $250 cheaper to hire.

In the question we can use the equation :

  Y = mx + b ,  which is the slope-intercept form of the equation of a straight line. Here, m is the slope of the line and b is the intercept, x and y represent the distance of the line from the x-axis and y-axis, respectively.

For caterer A, the cost per guest is $15. This is the m value. The b value is the additional fee for setting up the tables, $100.

Here, the equation will be  y = 15x + 100     -------------------------(1)

For Caterer B, the cost per guest is $20. The b value is the additional fee for setting up the tables $50.

For this the equation will be : Y = 20X + 50.  --------------------- (2)

To find the number of guests that will result in an equal cost, set the equations equal to one another. Solve for x.

                    15x + 100 = 20x + 50        ---------------------- (3)

solving the equation (3),

   15x - 20x = 50 - 100

⇒ -5x = - 50

⇒ x = 10

Putting x = 10 in equation (1),

   15 × 10 + $100 = $250

Therefore, the cost of 10 people or guest will attend the party and the second caterer is $250 cheaper then the first caterer.  

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Answer:

we do not know the shape so we cannot tell what the different dimensions are referring to sorry

Answer:

0.5 as a fraction is written as 1/2.

Step-by-step explanation:

Answer:

Y=5

Step-by-step explanation:

A shop is open 9 am - 7 pm. the function r(t), graphed above, gives the rate at which customers arrive (in people/hour) at time t, the line will vanish at 9 am + 2.5 hours = 11:30 am.

Since the salespeople can serve customers at a rate of 75 people per hour, the net rate at which customers are added to the line is given by:

Net rate = R(t) - 75

where R(t) is the rate at which customers arrive.

The line will vanish when the net rate becomes zero, which means that the rate at which customers are added to the line is equal to the rate at which they are served. Thus, we have:

R(t) - 75 = 0

Solving for t, we get:

R(t) = 75

Looking at the graph, we can see that R(t) is equal to 75 at approximately 2.5 hours after 9 am. Therefore, the line will vanish at 9 am + 2.5 hours = 11:30 am.

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Answer:

B. A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework.

Step-by-step explanation:

1.25 ≤ x ≤ 1.5 means x = 1.25 or more than 1.25

and x < 1.5 or x = 1.5.

{ 1.25 and  1.5 are contained }

_______________________

Option A: " Less than $1.50 " : doesn't contain 1.5

Option C: " 25% " = 0.25, " 50% " = 0.5

D:  " More than 1.25 and less than 1.5 " doesn't contain 1.25 and 1.5.

B: 1 hour 15 min = 1 hour + 15/60 hour 1 hour + 1/4 hour = 1.25 hour

1 hour 30 min = 1.5 hour

Answer:

B

Step-by-step explanation:

Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.

With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.

As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:

z = (1.5 - 1) / 0.2 = 2.5

We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.

Therefore, the correct answer is option d. Yes. Clear my choice.

The complete question is;

American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:

a. No, because the population distribution is skewed.

b. No, because the sample size is less than 30.

c. No, because the empirical rule is violated.

d. Yes. Clear my choice

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Answer:

the answer is 1470

Step-by-step explanation:

157+376+413+524

=1470

Answer: hahaha. yes.

The expression for the 12 more than half of the postcard will be written as:- P/2+12=P

The expression is defined as the relationship between the numbers and variables and is arranged in the form of an equation.

here we have the words in the question to convert it into an expression that is 12 more than half of the postcard.

The expression will be written as:-

P/2+12=P

Hence expression for the 12 more than half of the postcard will be written as:- P/2+12=P

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Answer:

X=24

Step-by-step explanation:

55-31 is 24

Answer:

x+31°=55°[alternate angle]

x=55°-31°

x=24°

answer

The Multiplication table that comes in the number 64 is 1, 2, 4, 8, 16, 32, and 64.

Multiples are numbers that are multiplied by another number to get a particular number.

In mathematics, multiples are the results of multiplying an integer by a given number.

Multiples of 5 include, for instance, 10, 15, 20, 25, 30, etc.

Numerous 7s include 14, 21, 28, 35, 42, 49, etc.

A multiple in mathematics refers to the outcome of multiplying two numbers together.

Here, the number 7 is multiple by 56.

Because the result of multiplying 0 by any number is 0, 0 is a multiple of all numbers.

So, in order to know what tables come in 64, we need to check that what numbers multiples ae 64:

64/1 = 64

64/2 = 32

64/4 = 16

64/8 = 8

64/16 = 4

64/32 = 2

64/64 = 1

Therefore, the Multiplication table that comes in the number 64 is 1, 2, 4, 8, 16, 32, and 64.

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Answer:

7n^3 + 6

Step-by-step explanation:

(4 + 2n^3) + (5n^3 + 2) =

= 2n^3 + 5n^3 + 4 + 2

= 7n^3 + 6

Answer:

7n^3 + 6

Step-by-step explanation:

(4 + 2n^3) + (5n^3 + 2)

4 + 2n^3 + 5n^3 + 2

7n^3 + 6

If you increase the confidence level, the confidence interval increases. therefore the correct answer is option D. increases

When you increase the confidence level, the confidence interval increases as well. The confidence level represents the degree of certainty or level of confidence that the true population parameter lies within the calculated interval.

A confidence interval is constructed based on sample data and is influenced by two main factors: the level of confidence desired and the variability within the data.

By increasing the confidence level, you are requesting a higher level of certainty that the population parameter falls within the interval.To achieve a higher level of confidence, the interval needs to widen to encompass a larger range of possible values. This increase in the width of the interval reflects the increased level of certainty desired, allowing for a larger margin of error and a wider range of plausible values for the population parameter.

Therefore, when you increase the confidence level, the confidence interval increases in width.

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Answer: The other person eats 5/6ths of a pizza

Step-by-step explanation:

put it into sixths

Answer:

5 /6

Step-by-step explanation:

may be 5/ 6 is the correct one

The line of best fit can be used to make predictions about the response variable based on the predictor variables. It can also be used to identify correlations between variables, as well as to estimate the strength of those correlations.

A. Line of Best Fit

A regression line is a statistical tool used to predict the value of a response variable based on the value of one or more predictor variables. It is also known as a line of best fit because it is used to show the best fit of a given data set. The line of best fit is a straight line that best represents the data by minimizing the sum of the squared distances between the observed data points and the line. The line of best fit can be used to make predictions about the response variable based on the predictor variables. It can also be used to identify correlations between variables, as well as to estimate the strength of those correlations.

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Answer:

1st: 0 solutions

2nd: infinitely many solutions

3rd: 1 solution

Step-by-step explanation:

1st: add both equations and the result is 0 = 4 ⇒ inconsistent, no solution

2nd: add both equations and the result is 0 = 0 ⇒ it's true, for all x and y values

3rd: add both equations and obtain: 16x = 32 ⇒ x = 2,

then if you want to obtain y, replace x in any of both equations.

Conclusion is that only 1 solution (x = 2 and a unnique value for y) is obtained.

The labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option a. 0.05%.

To calculate the labor cost percentage for next Friday at the Fawlty Towers, we need to consider the number of rooms, the time required to clean each room, the number of working hours, the labor rate, and the occupancy rate. Here are the steps to determine the labor cost percentage:

Calculate the number of rooms to be cleaned. If the hotel has 1000 rooms and the occupancy rate for next Friday is 80%, then the number of occupied rooms would be 1000 * 0.8 = 800 rooms.

Calculate the total time required to clean the rooms. Since each room attendant is allocated 30 minutes per room, the total time required would be 800 rooms * 30 minutes = 24,000 minutes.

Convert the total cleaning time to hours. Since there are 60 minutes in an hour, the total cleaning time would be 24,000 minutes / 60 = 400 hours.

Calculate the total labor cost. Each room attendant works 8 hours per day, so for 400 hours, the hotel would require 400 hours / 8 hours = 50 room attendants. Considering their hourly rate of $15, the total labor cost would be 50 room attendants * $15/hour = $750.

Calculate the total revenue. The Average Daily Rate (ADR) is expected to be $150, and with an occupancy rate of 80%, the total revenue would be 800 rooms * $150/room = $120,000.

Calculate the labor cost percentage. Divide the total labor cost ($750) by the total revenue ($120,000) and multiply by 100 to get the percentage: ($750 / $120,000) * 100 = 0.625%.

Therefore, the labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option 0.05%.

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The Fawlty Towers is a Nuxury 1000 room hotel catering to business executives. The occupancy for nad Friday is expected to be 80% Room attendants are allocated 30 minutes to clean each room Room attendants work 8 hours per day at a rate of $15/hour. ADR is expected to be $150 What would the labour cost percentage be for next Friday assuming everything stays the same?

a. 0.05%

b. 5.00%

c. 20.00%

d. 0.20%

Answer:

800,000,000

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

it is a because its -9 down and 7 to the right

Answer:

An equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

\(y=mx+b\)

where

Given the line

y = -13x+4

comparing with the slope-intercept form of the line equation

The slope of the line = m = -13

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -13

Thus, the slope of the the new perpendicular line = – 1/m = -1/-13 = 1/13

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where

substituting the values of the slope m = 1/13 and the point (4, 3)

\(y-y_1=m\left(x-x_1\right)\)

\(y-3=\frac{1}{13}\left(x-4\right)\)

Add 3 to both sides

\(y-3+3=\frac{1}{13}\left(x-4\right)+3\)

\(y=\frac{1}{13}x-\frac{4}{13}+3\)

\(y=\frac{1}{13}x+\frac{35}{13}\)

Therefore, an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

The null we are interested in testing here is that the coefficients on age and age^2 are jointly zero. So, we would need to run a restricted version of the regression above where these two variables are omitted and calculate.

Given:

what other regression do you need to run to test the null hypothesis that, holding other factors fixed, age has no effect on sleeping.

The null we are interested in testing here is that the coefficients on age and age^2 are jointly zero.

\(F = R^2_{ur}-R^2_r / q / 1-R^2_{ur} (n-k-1)\)

Therefore the null we are interested in testing here is that the coefficients on age and age^2 are jointly zero. So, we would need to run a restricted version of the regression above where these two variables are omitted and calculate.

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Answer:

c=2

Step-by-step explanation:

the sides of a 30-60-90 right triangle are in the ratio 1:\(\sqrt{3}\):2

The length of the side c of the right-angled triangle is equal to 6.5 to the nearest tenth using the trigonometric ratio of sine of angle 50°.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the right-angled triangle ABC, we shall calculate for the length c by application of the trigonometric ratio of sine for the angle 50°.

sin 50° = 5/c {opposite/hypotenuse}

by cross multiplication

c = 5/sin 50°

c = 6.5270

Therefore, the length of the side c of the right-angled triangle is equal to 6.5 to the nearest tenth using the trigonometric ratio of sine of angle 50°.

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The solutions to the equations are

1. x = 4

2. x = -12

3. x = 0 and x = 4

The solutions to the inequalities are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

From the question, we have the following equations

1. 4x + 6 = 8x - 10

2. -3/4x - 2 = -1/2x + 1

3. |4 - 2x| + 5 = 9

Next, we split the equations to 2

So, we have

1. y = 4x + 6 and y = 8x - 10

2. y = -3/4x - 2 and y = -1/2x + 1

3. y = |4 - 2x| + 5 and y = 9

Next, we plot the system of equations (see attachment) and write out the solutions

The solutions are

1. x = 4

2. x = -12

3. x = 0 and x = 4

From the question, we have the following inequalities

4. x² + 4x - 5 < 0

5. x² - x - 12 ≥ 0

Next, we plot the system of inequalities (see attachment) and write out the solutions

The solutions are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

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Answer:

the answer is \(\frac{25}{15}\\\) Hope this helps :}

Step-by-step explanation:

Here are 2 bowls. One of them has 25 gems and the other has 15 gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?

The number of possible ways to choose a pair of socks, then, is 18 x 2 = 36.

Pair is a set of two related items, usually of the same type. For example, a pair of shoes, a pair of gloves, a pair of socks, a pair of jeans, a pair of scissors, or a pair of sunglasses. Pairs are often used in mathematics and statistics, where the two elements are usually referred to as X and Y.

There are 18 possible ways to choose a pair of socks from your drawer: 8 possibilities for choosing a pair of white socks, 6 for brown, and 4 for blue. Given that you have to choose two socks of the same color, you can only choose a pair of socks from one of the three colors, so the total number of ways to choose a pair of socks is 8 + 6 + 4 = 18.

In each case, you have two options to choose from: either choose a matching pair of socks, or choose two different socks of the same color. The number of possible ways to choose a pair of socks, then, is 18 x 2 = 36.

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Answer:

No

Step-by-step explanation:

Answer:

Why... Um... ok

Step-by-step explanation: