Brad had a small gathering at a local steakhouse. The steakhouse offers three dinner platters which vary by size and price. They ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 2 of the 11-ounce platters.

Steak Platter Prices
• 6-ounce $9.95
• 8-ounce $12.95
• 11-ounce $15.95

If a gratuity of 18% was added to the bill, which of the following is closest to the total of the steak platters and gratuity, ignoring sales tax?

Answer: 1424850

Step-by-step explanation:

2.3 x 10³ = 2300

5.9 x 105 = 619.5

2300 x 619.5 = 1424850

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The probability of having at least one employee not have a college degree is 0.595

Here it is given that the 74% of employees have a college degree.

Hence, the probability of one employee having a college degree is

74/100

= 0.74

The probability that an employee does not have a college degree is

1 - 0.74

= 0.26

Hence

The above problem is clearly a Binomial distribution. with n = 120 and p = 0.26

"success" is when one employee does not have a college degree.

Therefore the probability that at least 1 employee does not have a college degree is

P(X≥1)

= 1 - P(X = 0)

A binomial distribution with sample n and probability p has a PMF

ⁿCₓ  X  pˣ X  (1 - p)ⁿ⁻ˣ

where x is a random variable

Here

n = 3

p = 0.28

x = 0

Hence we get

³C₀  X  0.26⁰ X  (0.74)³

0.405

Therefore,

P(X≥1)

= 1 - 0.405

= 0.595

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Answer:

87.08.

850.08 - 763 = 87.08.

The value of x that is a counterexample to the student's conjecture is (a) x = -1/4

From the question, we have the following statement that can be used in our computation:

x = Non-negative number

Student's conjecture:

x + 4 < x²

Using the options, we have:

(a) x = -1/4

x + 4 < x²

-1/4 + 4 < (-1/4)²

3.75 < 1/16 -- false

(b) x = -4

x + 4 < x²

-4 + 4 < (-4)²

0 < 16 -- true

(c) x = 1

x + 4 < x²

1 + 4 < (1)²

5 < 1 -- false

This cannot be used because x is non-negative

(c) x = 4

x + 4 < x²

4 + 4 < (4)²

8 < 16 -- true

The false statements are the counterexamples

Hence, the value of x is (a) x = -1/4

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Complete question

Given that x is a nonnegative number, a student conjectured that x + 4 < x². Which value of x is a counterexample to the student's conjecture?

Responses

A. ​ x=−1/4 ​

​B. ​ x=−4 ​ ​

C. x = 1

D. x = 4

The statement that describes the x-intercept of the graph is: c. the x-intercept is 60 and it represents the number of monthly payment that is needed to repay the loan.

The x-intercept of a linear relationship between variable x and y can be described as the value of x when the value of y is zero.

On a graph, the x-intercept is the point on the graph where the line intercepts the x-axis. The value of y at this point is 0.

in the graph that shows a linear relationship between the number of monthly payments made and the remaining balance left on a loan, the line intercepts the x-axis at 60.

Therefore, it means: c. the x-intercept is 60 and it represents the number of monthly payment that is needed to repay the loan.

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Answer:

$1097.46

Step-by-step explanation:

Assume P is the finall price.  The markup of 26% can be written in decimal form as 0.26.  This is in additon to the full price paid for the gold ring, so we can add 1.00 to 0.26 to arrive at the factor 1.26.  Multiply 1.26 times the store cost of $871 to find the amount after 26% markup:

 ($871)*(1.26) = $1097.46

Answer:

u=8

Step-by-step explanation:

48+3u=9u

-3u both sides

48=6u

divide by 6 on both sides

8=u

A sampling distribution of the sample proportion with n=15 and p=0. 65 is stimulated here when The probability of tails of a weighted coin is 0. 65. The number of tails is noted each of the 15 times the coin is tossed.

Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. Probability is synonymous with possibility. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.

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There are 52 cards in the deck and so the probability of guessing the card right is 1/52.

Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.

Here,

We can find this probability by seeing that

=1/4×1/13

=1/52

Because there are 52 cards in the deck, the probability of correctly predicting the card is 1/52.

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What is Angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

From the figure, we can tell that a transversal is passing through the two parallel lines which makes corresponding angles.

In the given figure 14x+7 and 10x+5 are the two angles formed by the transversal.

14x+7=10x+5

Now take all the variable terms to one side

14x-10x=5-7

4x=-2

Divide both sides by 4

x=-2/4

Divide numerator and denominator by 4

x=-1/2

Hence the value of x is -1/2

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The function has a maximum value of 30 at x = 3.

Given Function:

f(x) = -3+18x+3

here a = -3 , b = 18 , c = 3

a is negative so it has maximum value

x = -b/2a

= -18/2*(-3)

= -18/-6

= 18/6

= 3

f(x) = -3* + 18*3 + 3

= -3*9+54+3

= -27+54+3

= 27+3

= 30

Therefore the function has a maximum value of 30 at x = 3.

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Answer: zero slope

Step-by-step explanation:

When the slope of a line is zero it creates a horizontal line.

James average pay per hour is $17.40

How to find James average pay per hour

information given in the problem are

Last year, James earned £2,100 per month

This year, he's had a 6% increase in his monthly pay

35 hours per week for 46 weeks in the year

The question is a percentage problem

6% increase a factor of  1.16

2100 * 1.16 = 2436

number of hours in a month

35 hours = 1 week

? hours = 4 weeks

? = 4 * 35

? = 140 hours in 4 weeks = 1 month

James average pay per hour is gotten form the calculation below

if 140 hours pays 2436 then1 hour will pay ?

140 = 2346

1  =  ?

cross multiplying

? * 140 = 2436 * 1

? = 2436 / 140

? = $17.40

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Answer:

k = - 6 , c = 8

Step-by-step explanation:

f(x) = x² + kx + c

given f(2) = 0 , substitute (2, 0 ) into f(x)

0 = 2² + 2k + c

0 = 4 + 2k + c ( subtract 4 from both sides )

- 4 = 2k + c → (1)

given f(- 3) = 35 , substitute (- 3, 35 ) into f(x)

35 = (- 3)² - 3k + c

35 = 9 - 3k + c ( subtract 9 from both sides )

26 = - 3k + c → (2)

subtract (2) from (1) term by term to eliminate c

- 4 - 26 = 2k - (- 3k) + (c - c)

- 30 = 2k + 3k

- 30 = 5k ( divide both sides by 5 )

- 6 = k

substitute k = - 6 into (1) and solve for c

- 4 = 2(- 6) + c

- 4 = - 12 + c ( add 12 to both sides )

8 = c

then

k = - 6 and c = 8

Answer:

(0.5, 1.5 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint M is

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = A (- 4, 4 ) and (x₂, y₂ ) = B (5, - 1 ) ,then

M = ( [tex]\frac{-4+5}{2}[/tex] , [tex]\frac{4-1}{2}[/tex] ) = ( [tex]\frac{1}{2}[/tex] , [tex]\frac{3}{2}[/tex] ) = (0.5, 1.5 )

Answer:

The midpoint is at ( 1/2, 3/2)

Step-by-step explanation:

Midpoint

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

( -4+5)/2 = 1/2

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

( 4+-1)/2 = 3/2

The midpoint is at ( 1/2, 3/2)

Answer:

9:55 a.m.

Step-by-step explanation:

Sothy starts at 8 a.m. and plans for 10,000 steps. At 8:23 a.m., she walked 2000. We are solving for when she reaches 10,000 steps.

This means that she walks 2,000 steps in 23 minutes

If she walks 2,000 steps in 23 minutes, then we can multiply by 5 to get 10,000 steps in 115 minutes.

Now, we need to add 115 minutes to 8 a.m.

we can round 115 minutes to 120 minutes.

If you add 120 minutes to 8 a.m., you get 10 a.m.

Now subtract the 5 minutes you added earlier to get 9:55 a.m.

Answer:

Step-by-step explanation:

Let x be time, in semesters, remaining before Manuel graduates.  We find that Manuel's expenses are:

$1478/semester in tuition, and

$121/semester in fees

1.  x semesters remaining:  fees

  Remaining cost for fees, y, is the product of the fee times the number of semesters, x:

y =($121/semester)*x

y = ($121)*x

2.  x semesters remaining:  tuition

  Remaining cost, y, is the product of the tuition (times the number of semesters, x.  

y = ($1478/semester)*x + ($121/semester)*x

y = ($1599)*x

3.  x semesters remaining:  tuition and fees

  Remaining cost, y, is the sum of the products of the tuition (times the number of semesters, and the fees (tix.  

y = ($1478/semester)*x + ($121/semester)*x

y = ($1599)*x

The distance from B to AC can be constructed as

The distance from G to EF can be constructed as

The distance from Q to SR can be constructed as

What is the distance of a line from a point?

A point-to-line distance is the shortest distance from a point to any point on an infinite line. This is the perpendicular distance from the point to the line and the length of the line segment connecting the point to the nearest point on the line.

For the first figure,

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The monthly payment for a 25-year loan is $150,000 · 0.01115(1 + 0.0115)^300 / (1 + 0.0115)^300 - 1

What is compound interest?

When you earn interest on both the money you've saved and the interest you've earned, this is known as compound interest.

what is the monthly payment?

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original amount borrowed, but also the interest that accrues, must be repaid.

Here,

We know that the monthly payment is given as

MP = [Pr(1 + r)¹²ⁿ] / [(1 + r)¹²ⁿ - 1]

Where MP monthly payment, P is the initial amount, r is the rate of interest, and n is the number of years.

we have

r = 0.0115

P = $150,000

n = 25 * 12

n = 300

Then we have

MP = $150,000 · 0.01115(1 + 0.0115)^300 / (1 + 0.0115)^300 - 1

Hence, the monthly payment for a 25-year loan is $150,000 · 0.01115(1 + 0.0115)^300 / (1 + 0.0115)^300 - 1

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Step-by-step explanation:

Answer: 9.090909090909091

Step-by-step explanation: Knowing this we can solve. We have 7 pounds, and there are 16oz in 1 pound so we multiply the number of pounds by the number of ounces in 1 pound. 7 x 16 = 112 ounces. So there are 112oz total, which costs $12.32. Now we divide $12.32 by 112oz to find the price per ounce which would be roughly 9.09

Using the linear function, the number of minutes Arianna can use a computer if she only has $15.75 available to pay is 7.5 minutes.

In the given question,

Arianna is going to use a computer at an internet cafe.

The cafe charges an initial fee to use the computer and then an additional price per minute of usage.

Let C represent the total cost of using a computer for t minutes at the internet cafe.

We have to determine the number of minutes Arianna can use a computer if she only has $15.75 available to pay.

The additional change per unit = Slope of the linear function

The linear function C(t) given as;

C(t)=mt+b...............(1)

where m=slope and b=vertical intercept

Then, Slope = change in C(t)/change in t

Slope = ∆C(t)/∆t

We taking he given two point to find the slope

C(t) = 9.90 for t=1

C(t) = 15.30 for t=7

∆C(t)=15.30-9.90

∆C(t)=5.40

∆t=7-1

∆t=6

So, The required slope=5.40/6

The required slope=0.9=m

Now finding the value of b.

As we know that,

C(t) = 9.90 for t=1

The equation using this should be

9.90=m×1+b

Now putting the value of m in this equation

9.90=0.9×1+b

9.90=0.9+b

Subtract 0.9 on both side, we get

b=9

Now finding the number of minutes Arianna can use a computer if she only has $15.75 available to pay.

Putting the value in equation (1)

15.75=0.9t+9

Subtract 9 on both side

15.75-9=0.9t+9-9

0.9t=6.75

Divide by 0.9 on both side

0.9/0.9 t=6.75/0.9

t=7.5

Hence, the number of minutes Arianna can use a computer if she only has $15.75 available to pay is 7.5 minutes.

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Step-by-step explanation:

those are the answers if I am wrong you can correct

Systematic random sampling is the sampling method is the auditor using for each salesperson.

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

Given,

The sales force for a publishing company is constantly on the road trying to sell books. as a result, each salesperson accumulates many travel-related expenses that he or she charges to a company-issued credit card. to prevent fraud, management hires an outside company to audit a sample of these expenses. for each salesperson, the auditor prints out the credit card statements for the entire year, randomly chooses one of the first 20 expenses to examine, and then examines every 20th expense from that point on.

Systematic random sampling is the sampling method is the auditor using for each salesperson.

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Answer:

4 tons of its body weight

Step-by-step explanation:

In this situation you must find 2% of 200. This is simply 4.

Answer: 4 tons

Step-by-step explanation:

the whale eats 2% of itself everyday, so it would be x/200= 2/100 and the whale would eat x tons, which equals 4 so it eats 4 tons of krill a day

The equation y = (13 / 4) · x - 19 / 2 represents the perpendicular bisector of the line segment.

In this problem we need to determine the equation of the line perpendicular to a line segment whose endpoints are known. The equation of the line is represented by a first grade polynomial of the form:

y = m · x + b

Where:

And the relationship between the slopes of two perpendicular lines:

m · m' = - 1

Where:

And the slope of the original line can be found by the secant line formula:

m = Δy / Δx

And the midpoint of a line segment between two endpoints is defined below, necessary for the location of the bisector:

M(x, y) = 0.5 · A(x, y) + B(x, y)

Where:

First, find the slope of the line segment by secant line formula:

m = [- 1 - (- 5)] / (- 5 - 9)

m = - 4 / 13

Second, find the slope of the perpendicular bisector by the slope relationship between two perpendicular lines:

m' = - 1 / m

m' = - 1 / (- 4 / 13)

m' = 13 / 4

Third, determine the midpoint of the line segment by the midpoint formula:

M(x, y) = 0.5 · (9, - 5) + 0.5 · (- 5, - 1)

M(x, y) = (4.5, - 2.5) + (- 2.5, - 0.5)

M(x, y) = (2, - 3)

Fourth, find the intercept of the perpendicular bisector by means of the equation of the line:

b = y - m' · x

b = - 3 - (13 / 4) · 2

b = - 3 - 26 / 4

b = - 3 - 13 / 2

b = - 19 / 2

The equation for the perpendicular bisector is y = (13 / 4) · x - 19 / 2.

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Answer:

y = -1.5

Step-by-step explanation:

use the method y2 - y1 / x2 - x1

Answer:

y = 1x + -2

Step-by-step explanation:

Step 1: Calculating Slope (m).

m = y2 - y1 / x2 - x1

m =  -4 - 0 / -2 - 2

m = -4 / -4

m = 1

Now put value of m in equation...

y = 1x + b

Step 2: Calculating Y-intercept (b).

Lets choose the first point, ( 2, 0) for calculating y-intercept:

y = m ( x ) + b

0 = 1 ( 2 ) + b

0 = 2 + b

-2 = b

b = -2

Now put value of b in equation for your final answer...

y = 1x + -2

Hope this helps!

The equation of straight line having

(a) gradient -4 and coordinates (-2,1) is  4x + y [tex]=[/tex] -7

(b) gradient 0 and coordinates (-1,21) is y = 21 .

In the question ,

the gradient and coordinates of the point on the line is given .

we have to find the equation of the straight line .

Part(a)

the gradient of the line [tex]=[/tex] -4 ,

the coordinates of a point on the line = (-2,1)

So , the equation of the line is

(y - 1) = (-4)*(x -(-2))

y - 1 = -4(x + 2)

y - 1 = -4x - 8

4x + y = -8 + 1

4x + y = -7

the equation is 4x + y = -7  .

Part(b)

the gradient of the line = 0 ,

the coordinates of a point on the line = (-1 , 21)

So , the equation of the line is

(y - 21) = 0(x-(-1))

y - 21 = 0

y = 21

the equation of the line is y = 21  .

Therefore , The equation of straight line having  (a) gradient -4 and coordinates (-2,1) is 4x + y [tex]=[/tex] -7  and (b) gradient 0 and coordinates (-1,21) is  y = 21  .

The given question is incomplete , the complete question is

Find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.

(a) -4, (-2 , 1)

(b) 0, (-1, 21)

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Answer:

that is a quadratic function so yes it is a function

Step-by-step explanation:

it is a function becausr you can write an equation with it. Hope I could help!