You want to hang three equally-suzed travel posters on a wall so that posters on the ends are each 3 feet from the end of the wall. You want the sapacing between posters to be equal. Wrte and somve an equation to determine how much space you should leave between the posters.

The equation is:

You Should leave ______ feet of space.

plss help me​

The Domain of this relation is {0,2,3,4} and the range of the relation is {-2,1,2,5}.

In the question

let us first write down the coordinates in the order from bottom to top .

The coordinates of the points are (4,-2) ,(2,1) ,(0,2) ,(0,5) ,(3,5) .

the x coordinates in the point (x,y) is called as Domain .

the y coordinates in the point (x,y) is called as Range .

Hence , the Domain of the given relation is {4,2,0,3}

writing in the order we get , Domain = {0,2,3,4}

and the range of the given relation is {-2,1,2,5}

writing in the order we get , Range = {-2,1,2,5}

Therefore , the Domain of this relation is {0,2,3,4} and the range of the relation is {-2,1,2,5} .

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Part a

It is a function because each x-value matches with only one y-value.

Part b

No, because the x-values of 3 and -2 both correspond to a y-value of -3.

Answer: x = 9, 2

Step-by-step explanation:

I'm going to give you two main ways to solve this type of problem.

First is doing it mentally:

When we're given the setting of ax^2 + bx + c

We want to find two numbers that multiply to c and add to b. (If a isn't 1, then we need to add that into our calculation, but in this case a = 1)

So, what two numbers multiply to 18 and add to -11?

-9 and -2, so we rewrite the equation as (x-9)(x-2)

We then solve for x, x - 9 = 0, so x = 9 and x - 2 = 0, so x = 2

Second is we use the quadratic formula:

It would be [tex](-b+\sqrt{b^{2} -4ac})/2a\\(-b-\sqrt{b^{2} -4ac})/2a\\\\Plugging in your numbers: \\\\(11+\sqrt{11^{2} -72})/2\\(11-\sqrt{11^{2} -72})/2[/tex]

Probability of selecting a random sample of n = 4 students with an average age greater than 23 is 0.1587, the probability of selecting a random sample of n = 36 students with an average age greater than 23 is 0.00135 and for a sample of n = 36 students, the probability that the average age is between 21 and 22 is 0.6826

In the distribution ages for students at the state college is positively skewed with a mean value μ= 21.5 and a standard deviation of σ = 3.

a)P(z> (23-21.5)/(3/√4))

P(z>1) = 0.1587

b) P(z> (23-21.5)/(3/√36))

P(z>3) = 0.00135

c) P((23-21.5)/(3/√36) < z < (22-21.5)/(3/√36 ))

P(-1 < z < 1) = 1 - 0.1587 - 0.1587 = 0.6826

Therefore, probability of selecting a random sample of n = 4 students with an average age greater than 23 is 1587, the probability of selecting a random sample of n = 36 students with an average age greater than 23 is 0.00135 and for a sample of n = 36 students, the probability that the average age is between 21 and 22 is 0.6826

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the coordinates of a point P that lies along the directed line segment from E (-5, 5) to F (-2,-2) and partitions the segment in the ratio of 2 : 1.5 is (- 23 / 7 , 1).

We are given a line segment formed by joining the points:

E (- 5, 5)

F (- 2, - 2)

We need to find the coordinate of a point P which divides this line segment in the ratio 2 : 1.5

Now, we can also write this ratio as:

4 : 3

The formula for finding the coordinate of point P is:

x = (m x₂ + n x₁) / (m + n)

y = (m y₂ + n y₁) / (m + n)

Substituting the values in the formula, we get that:

x = 4(-2) + 3(-5) / 4 + 3

x = - 8 - 15 / 7

x = - 23 / 7

y = 4(- 2) + 3(5) / 4 + 3

y = - 8 + 15 / 7

y = 7 / 7 = 1

So, point P = (- 23 / 7 , 1)

Therefore, we get that, the coordinates of a point P that lies along the directed line segment from E (-5, 5) to F (-2,-2) and partitions the segment in the ratio of 2 : 1.5 is (- 23 / 7 , 1).

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Answer:

A. Marcus worked 27 hours and 45 minutes in the week.

B. He earned $391.5 for the week.

Step-by-step explanation:

First you calculate the hours he worked daily and you add them together, when you have the weekly hours you multiply the hours times what he earns each hour.

It's 27 • 14.50= $391.5

Answer:

The following are the results for measuring the distance that a long jumper has jumped which is uniformly distributed between 0 and 5mm

a) Mean = 2.5

b) Standard deviation = 1.4434

c) P(X = 2.5) = 0

d) P(2 < X < 4) = (4 - 2)/(5 - 0) = 2/5 = 0.4

e) P(X > 1) =0.8

f) P(X > 4 | X > 2) = 0.33

g) 60th percentile =  3

h) Upper quartile =  3.75

Mean = (0 + 5)/2 = 2.5

Standard deviation =[tex]\sqrt{(5-0)^{2} }[/tex] / [tex]\sqrt{12}[/tex]  = 1.4434

P(X = 2.5) = 0

P(2 < X < 4) = (4 - 2)/(5 - 0) = 2/5 = 0.4

P(X > 1) = (5 - 1)/(5 - 0) = 4/5 = 0.8

P(X > 4 | X > 2) = P(X > 4 and X > 2)/P(X > 2) = (5 - 4)/(5 - 2) = 1/3 = 0.33

60th percentile = 0.60*(5 - 0) = 3

Upper quartile = 75th percentile = 0.75*(5 - 0) = 3.75

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[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y^{-5}}{x^{-3}}\implies \cfrac{y^{-5}}{1}\cdot \cfrac{1}{x^{-3}}\implies \cfrac{1}{y^5}\cdot \cfrac{x^3}{1}\implies {\Large \begin{array}{llll} \cfrac{x^3}{y^5} \end{array}}[/tex]

Answer:

yeah

Step-by-step explanation:

They do not intersect???

The machine will take 7 minutes to fill one box. Hence, table A. represents the correct relationship between the number of minutes the machine fills boxes and the number of boxes it has filled.

Boxes filled by machine in 35 minutes = 5 boxes

So, the number of boxes the machine fills in each minute = Time taken to fill 5 boxes/ Number of boxes filled

= 35/5

= 7 minutes

Time taken by machine to fill one box = 7 minutes

Time taken to fill two boxes = 14 minutes

Time taken to fill three boxes = 21 minutes

Time taken to fill four boxes = 28 minutes

Hence, table A is the correct answer from the given options

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Answer:

y=2x+13

that is the slope of the intercept

Answer: 7/30 as a decimal is 0.23333333333333

Hope this helps!

The x-coordinates of the x-intercepts of the parabola are 1/2 and -7

Parabola equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The parabola is given as

y = 2x^2 + 13x - 7

It should be noted that the x-intercept of the function is the point or points where the graph of the function crosses the x-axis

i.e. the point where the function equals 0

So, we have

y = 2x^2 + 13x - 7

Expand

y = 2x^2 + 14x - x - 7

Factorize the equation

So, we have

y = 2x(x + 7) - 1(x + 7)

Set the equation to 0

So, we have

2x(x + 7) - 1(x + 7) = 0

Factor out x + 7

So, we have

(2x - 1)(x + 7) = 0

Expand

2x - 1 and x + 7 = 0

Solve for x

x = 1/2 and x = -7

Hence, the x-coordinates of the x-intercepts are 1/2 and -7

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Answer:l=p/2-w=198/2-3=96

Step-by-step explanation:yes

Applying the concept of the or operation, the solution to the given inequality is as follows:

r < -5/8 or r ≥ 3/8.

Considering two data-sets, the or operation between them is the set composed by all the elements that belong to at least one of the data-sets.

In the case of an inequality, the data set is represented by the intervals.

The first inequality is:

0.5r + 3 < 7/4.

0.5r < 7/4 - 3

r/2 < -5/4 (as -3 = -12/4)

r < -5/8.

The second inequality is:

-r + 3/4 ≤ 3/8

-r ≤ 3/8 - 3/4

-r ≤ -3/8 (as 3/4 = 6/8)

r ≥ 3/8 (multiply by -1, hence the signal also changes).

As the intervals do not intersect, the solution to the inequality is given as follows:

r < -5/8 or r ≥ 3/8.

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As there are 28 rows and in each row has 22 seats, then, the estimate of  the total income from the ticket sales equals to $4,989.60.

In a general sense, a total income means the gross income from all sources less certain deductions such as expenses, allowances and reliefs. But in the question context, it means the revenue, which is the total amount of income generated by the sale of goods and offering of services related to the primary operations of the business.

Given data

Cinema have 28 rows

Cinema have 22 seats per row

Each ticket cost 8.10

Total Income = $8,10 * 28 rows * 22 seats

Total Income = $4989.60

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The final price of the refrigerator after the additional 15% discount is $170

Given

The original sale price of the refrigerator  = was $250

Given a 20 % discount on the original price, the new sale price would be as follows

Sale price = original price - Discount

                 = [tex]250-(\frac{20}{100} )250[/tex]

Sale price = $200

After this an additional 15% discount is given on new sale price.

So again deducting the discount from the sale price we get,

Sale price = 200 - discount(15%)

                = [tex]200-(\frac{15}{100} )200[/tex]

Sale price = 170

Hence the final sale price after discount is $170

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Answer: -2000

Step-by-step explanation:

Answer:

[tex]{ \sf{7h - (3h - 5) = 2(h - 7)}} \\ \\ { \sf{7h - 3h + 5 = 2h - 14}}[/tex]

[distributive property open brackets ]

[tex]{ \sf{4h + 5 = 2h - 14}}[/tex]

[simplification of either sides]

[tex]{ \sf{4h - 2h = - 14 - 5}}[/tex]

[operating similar terms]

[tex]{ \sf{2h = - 19}} \\ [/tex]

[simplification]

[tex]{ \sf{h = \frac{ - 19}{2} }}[/tex]

Answer:

C should be the correct answer

Step-by-step explanation:

56 Tulips for $8

56÷8=7

7 Tulips for $1

prove me wrong

Answer:

C

Step-by-step explanation:

56 Tulips for $8

56÷8=7

7 Tulips for $1

Can someone tell me how I can reply to questions I didn't ask?

From the options provided in the question, we may conclude that Option A is equivalent to 0.428571.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Step 1: Take the dividend's first digit from the left. Determine whether this digit is greater than or equal to the divisor.

Step 2: Next, divide it by the divisor and write the result as the quotient on top.

Step 3: Subtract the result from the digit and record the difference.

Step 4: Subtract the dividend's next digit (if present).

Step 5: Repeat the procedure.

We need to find the given option that is equal to 0.428571.

For option A,

42/99 =0.428571 = 0.42

Therefore, we can say that Option A is equal to 0.428571 from the options given in the question.

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The most appropriate choice for function and graph of a function will be given by-

Option D is correct

What is function and graph of a function?

A function from A to B is a rule that assigns to each element of A a unique element of B.

Set of all points of the form (x, f(x)) is called graph of a function.

Here,

There is a hollow circle on y = 5 line and the function continues upwards

Also,

[tex]=\lim_{x \to 1} y(x)\\= \lim_{x \to 1} x^2 + 4\\= 1^2 + 4\\=5[/tex]

Now, there is a solid circle on y = -1 line and the function continues downward

So there is an equality on x = 1 downward

Now f(1) = [tex]1^3-2[/tex]

             = -1

So the appropriate graph will be

[tex]\left \{ {x^3 - 2, {x \leq 1} \atop x^2+1, {x > 1}} \right.[/tex]

D is correct

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Complete Question

Which of the following functions is graphed below?

The image has been attached

The unknown angles are as follows:

complementary angles are angles that sum up to 90 degrees.

in other words, When two angles add to 90°, we say they "Complement" each other.

Therefore,

9x + 2x + 7 = 90

11x = 90 - 7

11x = 83

x = 83 / 11

x = 7.54

Therefore,

∠1 = 9(7.54) = 67.9°

∠2 = 2(7.54) + 7 = 22.08°

Supplementary angles are angles that sum up to 180 degrees.

Therefore,

3x + 8  + 9x = 180

12x + 8 = 180

12x = 180 - 8

12x = 172

x = 172 / 12

x = 14.3

Hence,

∠1 = 9(14.3) = 129°

∠2 = 180 - 129 = 51°

Vertically opposite angles share the same vertex.  Vertically opposite angles are equal.

Therefore,

9x = 3x + 9

9x - 3x = 9

6x = 9

x = 9 / 6

x = 3 / 2

x = 1.5

Therefore,

∠1 = 9(1.5) = 13.5°

∠2 = 13.5°

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Using the binomial distribution, there is a 0.2740 = 27.40% probability that exactly 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes, either they say that job applicants should follow up within two weeks, or they do not say it. The opinion of a manger is independent of the opinion of any other manager, hence the binomial distribution is used to solve this question.

The formula for the probability of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

In the context of this problem, the parameters are given as follows:

n = 7, p = 0.64.

The probability of exactly 4 saying that applicants should follow up within two weeks is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{7,4}.(0.64)^{4}.(0.36)^{3} = 0.2740[/tex]

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The number that should replace s to make the equation true is 28.

An equation in mathematics is an expression that has an equal to sign, =. An expression is a statement in mathematics that is made up of at least one variable and number.

s divided by 4 = 7

s ÷ 4 = 7

In order to determine the value of s, multiply both sides of the equation by 7. Multiplication is the process that is used in mathematics to determine the product of two or more numbers. The sign that represents multiplication is × . Multiplication is a mathematical operation. Other operations in mathematics are addition, subtraction and division.

(s ÷ 4) x 4 = 7 x 4

s = 28

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Answer:

x = 2

Step-by-step explanation:

Use distributive property:

3(2x+4) = 24

3*2x + 3*4 = 24

6x+12 = 24

6x = 12

x = 2