Which graph shows y=3⌊x⌋−4? Responses Graph of the function f open argument x close argument equals greatest integer on a coordinate plane. The horizontal x axis ranges from negative 10 to 10. The vertical f of x axis ranges from negative 10 to 10. The graph is a step function with 7 vertical line segments. Each line segment is one unit long, with a closed point on the left side and an open point on the right side. Moving left to right, each line segment is shifted to the right one unit and up one unit, compared to the line segment before it. The endpoints of the first three line segments are as follows. Segment one. Begin ordered pair negative 2 comma negative 10 end ordered pair and begin ordered pair negative 1 comma negative 10. Segment two. Begin ordered pair negative 1 comma negative 7 end ordered pair and begin ordered pair 0 comma negative 7 end ordered pair. Segment three. Begin ordered pair 0 comma negative 4 end ordered and 1 comma negative 4 end ordered pair. The pattern continues with the last line segment at an endpoint. Image with alt text: Graph of the function f open argument x close argument equals greatest integer on a coordinate plane. The horizontal x axis ranges from negative 10 to 10. The vertical f of x axis ranges from negative 10 to 10. The graph is a step function with 7 vertical line segments. Each line segment is one unit long, with a closed point on the left side and an open point on the right side. Moving left to right, each line segment is shifted to the right one unit and up one unit, compared to the line segment before it. The endpoints of the first three line segments are as follows. Segment one. Begin ordered pair negative 2 comma negative 10 end ordered pair and begin ordered pair negative 1 comma negative 10. Segment two. Begin ordered pair negative 1 comma negative 7 end ordered pair and begin ordered pair 0 comma negative 7 end ordered pair. Segment three. Begin ordered pair 0 comma negative 4 end ordered and 1 comma negative 4 end ordered pair.

Answer:

20 times 4

Step-by-step explanation:

suricce area

Answer:

The meal cost $14.51 per person.

Step by step explanation:

Meal cost: 46.72

Sales tax: 8%

Then.

then we take out 8% of the value

Tip : 15% (meal and sales tax)

There are 4 people.

The maximum length of each prism is equal to 7.99 centimeter.

First of all, we would determine the maximum surface area of this regular hexagonal prism by using this mathematical expression:

Maximum surface area (quantity) = Cost/unit price

Maximum surface area (quantity) = $11/$0.04

Maximum surface area (quantity) = 275 square centimeter (cm²).

Mathematically, the surface area of a regular hexagonal prism can be calculated by using this formula:

A = 6al + 3√3a²

Where:

Substituting the given parameters into the formula, we have;

275 = 6 × 4l + (3√3 × 4²)

275 = 24l + 48√3

24l = 275 - 48√3

24l = 191.8616

l = 191.8616/24

Length, l = 7.99 centimeter.

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Given the right triangle:

The Pythagorean theorem states that:

From the problem, we identify:

And a is our missing value. Using the Pythagorean theorem:

A. 7658.8 hr/year

B. 4.082 hr/year

C. 99206 kwh

Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.

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The end behavior of the polynomial function is as shown in the attached picture.

Polynomial functions refers to equation that consists of variables that have non negative exponents or powers. The when there is only one term in the equation it is referred to as monomial

The end behavior refers to the behavior of the function at the extremes of the x direction.

The end behavior of a polynomial function is controlled by the term that has the leading terms

In the given question,

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Answer:

x25 - 24.1x square would be your answer

Step-by-step explanation:

The statement p is: Saturn is a planet.

The statement q is: Hong Kong is a city.

Now the first part of our composite proposition is:

This means that we have to negate the statement q, this would be: Hong Kong is not a city.

Now we make the disjunction between the statement p and the negation of q, then we have:

The second part of our composite porposition is:

This means that we have to negate the statement p, then we have: Saturn is not a planet. Then we make the conjunction between the negation of p and q, then we have:

Finally we make the disjunction between the statements discussed so far, hence the statament

means:

Saturs is a planet or Hon kong is not a city OR Saturn is not a planet and Hong Kong is not a city.

Now, to determine the truth value of the composite proposition we have to remember that a disjunction is TRUE if one of the statements that make it is true and that the conjunction is TRUE only if both stataments that make it are true.

The first statement is: Saturn is a planet or Hong kong is not a city. Since this is a disjunction and the statement Saturn is a planet is TRUE, then the proposition is true.

The second statement is: Saturn is not a planet and Hong Kong is not a city. Since this is a conjunction and the statement Saturs is not a planet is FALSE, the the second statement is FALSE.

Now since the composite statemtent is made of a TRUE and a FALSE statement and it is a disjunction we conclude that the truth value of the statement given is TRUE.

Fabric bought by Paul and Rita to make a shirt was 1 7/8 m and 1 3/4 m respectively , Paul bought 1/8 m more than Rita.

As given in the question,

Length of fabric bought by Paul to make his shirt = 1 7/8 m

Length of fabric bought by Rita to make his shirt = 1 3/4 m

Convert length of fabric into proper fraction

Paul fabric = 1 7/8 m

                 = 15 /8 m

Rita fabric = 1 3/4 m

                = 7 /4 m

Length of Paul fabric more than Rita

Length of more fabric bought by Paul than Rita = (15 /8) - ( 7/4)

                                                                          = (15/8) - (14/8)

                                                                          = 1/8 m

Therefore, fabric bought by Paul and Rita to make a shirt was 1 7/8 m and 1 3/4 m respectively , Paul bought 1/8 m more than Rita.

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Using the information of the factors f ( x ) are

The term function as used n math refers to a relation consisting of variables. the variables are of two major types which include

The given function is substituted in the several equations given but the equations that yielded the desirable result of f ( x ) = 0 are:

Therefore they are the correct choice

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Answer:

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

The triangle is isosceles as marked.

The two opposite angles of equal sides are equal, one of them is x and the angle in between them is 28°.

Use angle sum of the triangle:

Same as previous question, we have an isosceles triangle. Equal sides are:

Find the perimeter by substituting the value of x:

When two lines and a transversal form comparable angles that are congruent, the lines are parallel, which is the converse of the corresponding angles theorem's flow proof. Which means that line c ║ to line d.

The two different lines that meet at an angle of 90 degrees are called perpendicular lines. Do your walls' connecting corners—or the letter "L"—share any similarities? They are the straight lines, referred to as perpendicular lines, that intersect at the proper angle. An angle of 90 degrees between two straight lines is known as a perpendicular. The illustration depicts a little square in between two perpendicular lines to indicate the 90° angle, which is also known as a right angle. Here, a right angle between the two lines Two lines that cross each other at a 90° angle are referred to as perpendicular lines in mathematics. I

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Step 1

Given

Required: To arrange them from smallest to largest.

Note: 0.5 = 1/2

Step 2

Find the lowest common multiple of the numbers in the denominator : 3,8,2 and 5

Hence, the lowest common multiple will be

Step 3

Use the LCM to arrange the numbers as seen below

From the numbers gotten from using the LCM, we can now conclude

Step 4

Arrange them from smallest to largest

We can arrange them as follows

4)  the distribution of the sample proportion of the 125 taxpayers that used the computer software to do their taxes is n(0.34, 0.0424) - option A

5)  the probability that between 28% and 40% of the taxpayers from the sample of 125 used computer software to do their taxes is pnorm(0.4,0.34,0.0424) - pnorm(0.28,0.34,0.0424) - Option A

4) Given data:

P = 0.34 and n = 125

Since, np = 0.34 * 125 = 42.5 > 10

& n(1 - p) = 125 * 0.66 = 82.5 > 10

Therefore, the normal distribution can be used here:

Mean is μp = p = 0.34

The standard Deviation is σp = [tex]\sqrt \frac{P(1-p)}{n} = \sqrt\frac{(0.34)(0.66)}{125} = 0.0424[/tex]

The distribution of sample proportion will be;

N (0.34, 0.0424)

Therefore, option (a) is correct that is n(0.34, 0.0424)

5) The likelihood that between 28% and 40% of the 125 taxpayers in the sample used tax preparation software is calculated as follows:

pnorm (0.4, 0.34. 0.0424) - pnorm (0.28, 0.34, 0.0424)

Therefore, option A is correct that is pnorm(0.4,0.34,0.0424)-pnorm(0.28,0.34,0.0424)

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Based on the scores that Jenna received on her quizzes, the lower quartile can be found to be 12

To find the lower quartile, use the formula:

= (Number of scores + 1) x 1/4

But before that, you need to arrange the scores that Jenna received, from ascending order:

11, 12, 16, 16, 17, 18, 20

Then use the formula to find the position of the lower quartile:

= (7 + 1) x 1/4

= 8 x 1/4

= 2

It is in the second position. The lower quartile score is therefore 12.

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Based on the scores that Jenna received on her quizzes, the lower quartile would be; 12

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

To determine the lower quartile, use the formula as;

= (Number of scores + 1) x 1/4

But before that, we need to arrange the scores that Jenna received, from ascending order which is;

11, 12, 16, 16, 17, 18, 20

Thus, use the formula for the position of the lower quartile:

= (7 + 1) x 1/4

= 8 x 1/4

= 2

Hence, It's in the second position. The lower quartile score is; 12.

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Answer:Given : f(x)=x

4

−3x

2

+4

f(2)=(2)

4

−3(2)

2

+4

=16−12+4=8

This can also be verified by the actual divison

Answer:

C = 2 \pi r

Step-by-step explanation:

The number of two pt problems are 30 and 5 pt problems are 8.

Two or more expressions with an Equal sign is called as Equation.

Let x= one type of question

Let x-22= the other type of questions

100=2x+5(x-22) Distribute

100=2x+5x-110

100=7x-110

100+110=7x

210=7x

Divide both sides by 7

one type 30=x

second type 30-22=8

Hence the number of two pt problems are 30 and 5 pt problems are 8.

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The total distance of the trip is 50 miles

From the question, we have the following parameters

Distance completed = 40%

Distance travelled = 20 miles

Represent the total distance with x

So, we have the following equation

Distance travelled = Distance completed  *Total distance

This gives

Distance travelled = Distance completed  * x

So, we have

20 miles = 40% * x

Divide both sides by 40%

x = 50 miles

Hence. the length of the trip is 50 miles

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The area of a rectangular backyard = 2(4x - 5y)

The algebraic expression has a equivalent expression as = 2 x 4x + 2 x 5y

= 8x + 10y

total length = 6 ft

length of the piece = 1/3

There will be 18 pieces

Rule for a dilation with center (0,0)

k is the scale factor.

For point P (0,3):

First, graph the rhombus:

Area of a rhombus = Product of diagonals / 2

Find the length of the diagonals:

Distance between points:

Diagonal AC

AC= 10√2

Diagonal BD

BD=6√2

Area= AC x BD / 2

Area = [(10√2) x (6√2)]/2

Area = 60

33,800,000 are total distinct six characters license plates possible such that the two letters must appear next to each other. We can solve it by using combination formula ( ⁿCr ) .

Total number of digits are 10 i.e., 0,1,2,3,4,5,6,7,8,9. We have given the option to select any four digits out of 10 with repetition. So, we use combination formula

ⁿ C r = n!/(r! ×(n-r)! )

For 1ˢᵗ digit, the number ways to choose the 1ˢᵗ digit is ¹⁰C ₁= 10

For 1ˢᵗ letter, the number of ways to choose the 1ˢᵗ letter is ²⁶C ₁= 26

There are 10×10×10×10 = 10⁴ ways to choose four digits . In a similar way, the total number of letters for choice is 26 ; i.e., from A to Z. We were given the task of choosing two letters from a list of 26 , which were not necessarily distinct .

There are 26×26 = 26²ways to choose the two letters . For the letters to be next to each other, they can be the 1ˢᵗ and 2ⁿᵈ, 2ⁿᵈand 3ʳᵈ, 3ʳᵈand 4ᵗʰ, 4ᵗʰand 5ᵗʰ, 5ᵗʰ and 6ᵗʰ characters . So, there are 6-1 = 5 are choices for the positions of the letters .

Therefore, numbers of distinct license plates is 5×10⁴× 26² = 33,800,000

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The unit rate of Ben is 8.5 minutes.

For this problem, we are looking for how many miles Ben walked per minute — so the goal is miles per minute

So, calculate:

Therefore, the unit rate for Ben is 8.5 minutes.

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Complete question:

Ben walked 3/4 of a mile in 8 1/2 minutes. Find the Unit Rate.

Answer:

option 4

Step-by-step explanation:

let c represent the old amount , then twice the old amount is 2c.

1.5 less than twice the old amount is 2c - 1.5 , so

2c - 5 = 6

Analyze each plan according to the given specifications.

Plan A:

The basic fee must be added to the product of 0.13 and the average messages sent.

Plan B:

It already includes the cost for unlimited messages.

Plan C:

The plan costs the product of 0.28 and the average messages sent.

When comparing these plans, the cheapest one is Plan B, which only costs $53.00.

On solving using combinations (C) we get the answers for part a)the probability that you will be assigned none of the tasks that you want = 0.035% b) the Probability that I am assigned exactly 7 of the tasks that I want = 0.0427 c)The probability that I am assigned at least one of the tasks I want = 0.9996 d)Probability that I am assigned at least 7 of the tasks I want = 0.049

a) There are 27 tasks and 10 tasks I want to do. Thus there are 17 tasks I do not want to do. I am randomly assigned 12 tasks. The probability that I will be assigned none of the tasks that I want is p = 17C12 / 27C12 = 3. 55 * 10 ^ (-4) = 0.035 %

b) The probability that I am assigned exactly 7 of the tasks that I want

p = 10C7 * 17C5 / 27C12 =  0.0427  = 4.27%

c) The probability that I am assigned at least one of the tasks I want

p = 1 - 17C12 / 27C12    where 17C12 / 27C12 is the probability that I get assigned 0 tasks I want.

Thus, p = 1 - (7/19665) = 0.9996

d)Probability that I am assigned at least 7 of the tasks I want

p = (10C7*17C5+10C8*17C4 + 10C9*17C3 + 10C10*17C2) / 27C12

⇒ p = 17 / 345 = 0.049 = 4.9%

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Given:

Yesterday:

1 female and 5 male = 52 yards

Today:

5 female and 2 male = 76 yards

Let's find the number of yards of fabric each type of costume requires.

Let F represent the number if yards for each female customer use.

Let M represent the number of yards each male customer uses.

From this situation, we have the system of equations:

1F + 5M = 52

5F + 2M = 76

Now, let's solve the system of equations simultaneously using substitution method.

Rewrite equation 1 for F:

F = 52 - 5M

Substitute 52 - 5M for F in equation 2:

Subtract 260 from both sides:

Divide both sides by -23:

Substitute 8 for M in either of the equations:

F = 52 - 5M

F = 52 - 5(8)

F = 52 - 40

F = 12

Therefore, we have the solution:

F = 12, M = 8

Each male customer requires 8 yards while each female customer requires 12 yards.

ANSWER:

• Male customer = 8 yards

• Female customer = 12 yards