Student tickets to a theme park are $15 per person plus a travel fee of $50. The equation y = 50+ 15x represents the total cost, where x is the number of students. If there are at least 10 students but no more than 15 going on the trip, what is the domain of the situation? ​

There is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.

In the posed query,

We must determine the likelihood that a standard normal random variable will occur with a probability between 0.3 and 3.2.

First, a standard normal random variable with a mean and standard deviation is introduced.

We must determine the likelihood that a standard normal random variable will fall within the range of 0.3 and 3.2.

The likelihood therefore should be

P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)

Using z's typical value

P(0.3<z<3.2)=0.9993−0.6179

Simplifying

P(0.3<z<3.2)=0.3814

According to the z table, there is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.

Option A is the proper response, so.

The complete question is:-

What is the probability that a standard normal random variable will be between .3 and 3.2?

A. .3814

B. .3808

C. .9993

D. .6179

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Answer:

$19.15

Step-by-step explanation:

$1=0.626

$1/0.626=£1

$11.99=$11.99/0.626

=$19.15

Answer:

Step-by-step explanation:

 £ 0.626  =$ 1

£1 = $ \(\frac{1}{0.625}\)

£ 11.99 = \(11.99*\frac{1}{0.625}= \frac{11.99*1000}{0.625*1000}\\\\\)

           \(= \frac{11990}{626}\\\\\)

          = $ 19.15

19.15 - 16.95 = $2.2

Jane pays $2.20  more dollars that George

Answer:

3a -3b= -9

3a - 4b = -5

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

b=-4

4a- 4b= -12

3a - 4b = -5

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

a = -7

Answer:

1/15

Step-by-step explanation:

sin P = ON / PN = 2/30 = 1/15

Answer:

the answer is 1/15 hope it helps

Answer:

its 72, 36, 144

Step-by-step explanation:

yes it is!!!

Answer:

  (b) (infinite set of points on the line)

Step-by-step explanation:

The graph appears to show two coincident lines. The points they have in common is the solution set to the pair of equations they represent:

  (infinite set of points on the line)

Answer:

0.08

Step-by-step explanation:

5 ^-2 * cube root of 8

first of all, let us solve 5^-2

using the law of indices;

a^-2 = 1 / a ^2

following this law, we have;

5^-2 = 1 / 5^2

we know that 5^2 = 25

therefore,

5^-2 = 1 / 25

now, let is continue by solving the cube root of 8

now, there are three ways of solving this;

we could just simply think of any number that when multiplies itself three times times, it gives 8, or we could just simply use a calculator

regardless of what we use, we have to end up with the number 2 as the answer

leading is to our conclusion.

from all our solution, we have reduced our question to;

1 / 25 ( which is 5^-2) * 2 ( which is the cube root of 8 )

= 1 / 25 * 2 / 1

note that 2 is the same as 2 / 1. We put it like this when we want to carry out an operation on an integer ( e.g. 2) and and a fraction ( e.g. 1 / 25 )

so,

1 / 25 * 2 / 1 =

2 / 25 ( the two multiplies the 1 in 1 / 25 and the 25 multiplies the 1 in 2 / 1)

leaving our answer in decimal, we have;

0.08

hope this helps,

thanks!!!

Answer:

C

Step-by-step explanation:

They are the same without rotation and translation

625 ml is the amount of smoothie is left for Ahmed to drink.

According to the statement

we have given that the

Ahmed made a 625 ml fruit smoothie in his blender and out of this he gave

320 milliliters of the smoothie to his brother and we have to find that the

How much smoothie is left for Ahmed.

So, For this purpose,

The total smoothie = 625 ml

Smoothie he gave to his brother = 320 ml

Now, we have to find the Amount of smoothie left for ahmed.

So, Smoothie left for ahmed = 625 ml - 320 ml

Smoothie left for ahmed = 305 ml

So, 625 ml is the amount of smoothie is left for Ahmed to drink.

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Question:

Ahmed made a fruit smoothie in his blender, shown below. He gave 320 milliliters of the smoothie to his brother. How much smoothie is left for Ahmed to drink? check the image below.

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The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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In a Linear Programming problem, the objective function line is moved in the direction that reduces cost.

Linear Programming (LP) is an operation research approach used to determine the best outcomes, such as optimum profit, minimum cost, or maximum yield, given a set of constraints represented as linear relationships. Linear programming's fundamental idea is to find the best value of a linear objective function that takes into account a variety of constraints that are linear inequalities or equations. The goal of the constraints is to restrict the values of the decision variables. A linear programming problem consists of a linear objective function and linear inequality constraints, as well as decision variables. In a Linear Programming problem, we try to maximize or minimize a linear objective function, which represents our target. This objective function is expressed as a linear equation consisting of decision variables, each of which has a coefficient. Linear programming's ultimate goal is to find values of the decision variables that maximize or minimize the objective function while still satisfying the system of constraints we're working with. In this case, the objective function line is moved in the direction that reduces cost, which means we are minimizing the cost. We do this by moving the objective function line down towards the minimum point. This is the point where the objective function has the smallest possible value that meets all of the constraints.

Thus, in a Linear Programming problem, the objective function line is moved in the direction that reduces cost.

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Answer:

189

Step-by-step explanation:

:)

Answer:

189

Step-by-step explanation:

mulitply 7 by 4.5= 31.5

31.5 x6=189

Answer:

Step-by-step explanation:

x + 50 + 90 = 180

x + 140 = 180

x = 40 degrees

The probability of it raining 5 days out of the week, given an average chance of rain of 36% each day, is approximately 0.036 or 3.6%.

To find the probability of it raining 5 days out of the week when the chance of rain each day is 36%, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = (nCk) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of getting exactly k successes

n is the number of trials

k is the number of desired successes

p is the probability of success in a single trial

(1-p) is the probability of failure in a single trial

In this case, we have:

n = 5 (number of days in the week)

k = 5 (desired number of rainy days)

p = 0.36 (probability of rain each day)

Using the formula, we can calculate the probability:

P(X = 5) = (5C5) * (0.36)^5 * (1-0.36)^(5-5)

Simplifying the equation:

P(X = 5) = 1 * 0.36^5 * 0.64^0

P(X = 5) ≈ 0.036

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Answer:

C

Lucky guess if this is wrong i am truly sorry.

Answer: $48.06

Step-by-step explanation:

Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage. For example, if your product costs $50 to make and the selling price is $75, then the markup percentage would be 50%: ( $75 – $50) / $50 = . 50 x 100 = 50%.

Answer:

You would pay $48.06

Step-by-step explanation:

27*0.78 = 21.06

27 + 21.06 = 48.06

Answer:

see explanation

Step-by-step explanation:

Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 ), then

The x- coordinate of the vertex, which is also the equation of the axis of symmetry is

\(x_{vertex}\) = - \(\frac{b}{2a}\)

y = x² + 12x + 32 ← is in standard form

with a = 1, b = 12 , then

\(x_{vertex}\) = - \(\frac{12}{2}\) = - 6

Substitute x = - 6 into y for corresponding y- coordinate

y = (- 6)² + 12(- 6) + 32 = 36 - 72 + 32 = - 4

Thus

equation of axis of symmetry is x = - 6

vertex = (- 6, - 4 )

To find the y- intercept , let x = 0

y = 0² + 12(0) + 32 = 32 ← y- intercept

The axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.

Important information:

Substitute \(x=0\) to find the y-intercept.

\(y=(0)^2+12(0)+32\)

\(y=32\)

The vertex form of a quadratic function is:

\(y=a(x-h)^2+k\)         ...(i)

Where a is constant, (h,k) is vertex and x=h is the axis of symmetry.

Adding and subtracting the square of half of coefficient of x, the given quadratic function can be written as:

\(y=x^2+12x+32+6^2-6^2\)

\(y=(x^2+12x+6^2)+32-36\)

\(y=(x+6)^2-4\)          ...(ii)

On comparing (i) and (ii), we get

\(a=1,h=-6,k=-4\)

Therefore, the axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.

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The parameterized plane that contains the three points is r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).

To parameterize the plane that contains the three points (1,−2,−5), (−10,−6,−12), and (15,20,10), we can use a vector equation.

We can choose any of the given points as r. Let's choose (1,−2,−5) as our r

r = (1,−2,−5).

To find v, we need to subtract r from any two points on the plane. Let's choose (−10,−6,−12) and (15,20,10) as our points.

⃗v = (−10,−6,−12) - (1,−2,−5) = (−11,−4,−7).

Similarly, we can subtract r from another pair of points. Let's choose (−10,−6,−12) and (15,20,10) again.

⃗w = (15,20,10) - (1,−2,−5) = (14,22,15).

Now we have all the necessary components to parameterize the plane.

r(s,t) = (1,−2,−5) + s(−11,−4,−7) + t(14,22,15).

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The equation is given as follows:

d = 50t.

Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:

v = d/t.

The bird can fly 400 kilometers in 8 hours, hence the velocity is given as follows:

v = 400/8

v = 50 km/h.

Then the equation is given as follows:

d = vt

d = 50t.

The complete problem is:

"An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Write an equation to represent the distance d, in kilometers, of each bird after t hours".

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Answer:

1

Step-by-step explanation:

1/2x1x2

1

The equivalent expression would now be given as \(4x^3y^4\). Option A

Regardless of the particular values given to the variables, equivalent expressions in mathematics have the same value. In other words, they stand for the same quantity or mathematical relationship.

We would now just apply the mathematical principle that we need by taking the cube root of all the terms that we have in the expression as shown.

We have the expression;

\(\sqrt[3]{} 64x^9y^{12}\)

This would now be;

\(4x^3y^4\)

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To solve these problems, we need to first find the total number of possible combinations of six integers that can be selected from the given range of positive integers. This can be found using the formula for combinations:

n C r = n! / r!(n-r)!

where n is the total number of integers in the range and r is the number of integers to be selected (in this case, r = 6).

A. For integers not exceeding 40, we have n = 40. So, the total number of possible combinations of six integers is:

40 C 6 = 40! / 6!(40-6)! = 3,838,380

Now, we need to find the probability of selecting none of the correct six integers. Since there are six correct integers, there are 34 incorrect integers in the range. So, the probability of selecting none of the correct six integers is:

34 C 6 / 40 C 6 = 1,090,584 / 3,838,380 = 0.2844

B. For integers not exceeding 48, we have n = 48. So, the total number of possible combinations of six integers is:

48 C 6 = 48! / 6!(48-6)! = 12,271,512

Now, we need to find the probability of selecting none of the correct six integers. Since there are six correct integers, there are 42 incorrect integers in the range. So, the probability of selecting none of the correct six integers is:

42 C 6 / 48 C 6 = 2,251,799 / 12,271,512 = 0.1836

C. For integers not exceeding 56, we have n = 56. So, the total number of possible combinations of six integers is:

56 C 6 = 56! / 6!(56-6)! = 32,468,436

Now, we need to find the probability of selecting none of the correct six integers. Since there are six correct integers, there are 50 incorrect integers in the range. So, the probability of selecting none of the correct six integers is:

50 C 6 / 56 C 6 = 1,081,575 / 32,468,436 = 0.0333

D. For integers not exceeding 64, we have n = 64. So, the total number of possible combinations of six integers is:

64 C 6 = 64! / 6!(64-6)! = 19,068,840

Now, we need to find the probability of selecting none of the correct six integers. Since there are six correct integers, there are 58 incorrect integers in the range. So, the probability of selecting none of the correct six integers is:

58 C 6 / 64 C 6 = 170,544 / 19,068,840 = 0.0089

Therefore, the probability of selecting none of the correct six integers decreases as the range of positive integers increases.

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Hence, option B is the correct answer. The given expressions are:Expression A: `-5(x - 1)`Expression B: `(5 - 5)x`Expression C: `-5x`Expression D: `5x`Expression E: `5 - 5x`

We are to find the expression that is not equivalent to the others. Expression A can be simplified using the distributive property of multiplication over addition: `-5(x - 1) = -5x + 5`Expression B can be simplified using the distributive property of multiplication over subtraction: `(5 - 5)x = 0x = 0`Expression C is already in simplest form. Expression D is already in simplest form.

Expression E can be simplified using the distributive property of multiplication over subtraction: `5 - 5x = 5(1 - x)`Therefore, the expression that is not equivalent to the others is option B, `(5 - 5)x`, because it is equal to 0 which is different from the other expressions. Hence, option B is the correct answer.

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We can conclude that the figure is not a rectangle but a square with sides as 28 m

Area ia the total enclosed portion by any ahape, we can calculate area in   most basic case by integrating the described portion.

Let P = perimeter, A = area

As provided above, a = xy and

As the formula to solve for the perimeter of a rectangle is given as          P = 2x + 2y. Using the given 112m, we can solve the perimeter using the formula:

112 = 2x + 2y

56 = x + y

Expressing it in single terms on one side,

x = 56-y or y = 56-x

Then solve the given perimeter in terms of y using the formula below:

A = (56-y) (y)

Derivative of area  A = 56-y^2 to get the value of y.

dA / dy = 56-2y = 0

y = 56/2

y = 28

To find x, substitute the finded value of y in the equation x = 56 - y.

x = 56 - 28

Therefore, x = 28.

We can conclude that the figure is not a rectangle but a square.

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C. True, because to use the Law of Sines, at least two sides must be known.

The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.

Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.

In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.

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To simplify the expression (5x - 3x^2) (5x - 2) • (10x + 7x^2) and write it in standard form, we can start by expanding the expression using the distributive property. Let's break it down step by step:

(5x - 3x^2) (5x - 2) • (10x + 7x^2)

Expanding the first two terms:

= (25x^2 - 10x - 15x^3 + 6x^2) • (10x + 7x^2)

Now, let's distribute the terms in the first expression with each term in the second expression:

= 25x^2 • 10x + 25x^2 • 7x^2 - 10x • 10x - 10x • 7x^2

15x^3 • 10x - 15x^3 • 7x^2 + 6x^2 • 10x + 6x^2 • 7x^2

Simplifying each term:

= 250x^3 + 175x^4 - 100x^2 - 70x^4 - 150x^4 - 105x^5 + 60x^3 + 42x^4

Combining like terms:

= -105x^5 + 175x^4 - 70x^4 - 150x^4 + 42x^4 + 250x^3 + 60x^3 - 100x^2

Finally, arranging the terms in descending order of exponents:

= -105x^5 + (175 - 70 - 150 + 42)x^4 + (250 + 60)x^3 - 100x^2

Simplifying further:

= -105x^5 - 253x^4 + 310x^3 - 100x^2  

Therefore, the equivalent expression in standard form is:

-105x^5 - 253x^4 + 310x^3 - 100x^2

Answer:

There are 10 men in the dance recital.

Step-by-step explanation:

The ratio 2:5 means that for every 5 women there are 2 men.

We will divide 25 by 5 to figure out how many groups there will be.

\(25/5=5\)

\(x*y=z\)

x = amount of groups.

y = amount of men per group

z = total amount of men.

\(5*2=10\)

This means that there are 10 men in the dance recital.