A group of 12 students is deciding whether to go to the science center or the zoo. Science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.
How much will a group of 12 students save by choosing the science center?
Enter your answer in the box.

Answer:

the answer is D just did the quiz hope this helps!!!!!

Step-by-step explanation:

Answer:

\(\frac{9}{2}\) or \(4\frac{1}{2}\)

Step-by-step explanation:

\(\frac{6}{1} * \frac{3}{4}\) multiply the numerators by each other, and the denominators by each other. You will get \(\frac{18}{4}\), if you simplify \(\frac{18}{4}\), you will get \(\frac{9}{2}\) as an improper fraction, or \(4\frac{1}{2}\) as a mixed number

Answer:

9/2 or 4 1/2

Step-by

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

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Answer:

  (-1, 3)

Step-by-step explanation:

The midpoint is the average of the end points.

  M = (H +K)/2

  M = ((-4, 10) +(2, -4))/2 = (-4+2, 10-4)/2 = (-2, 6)/2

  M = (-1, 3)

The coordinates of the midpoint are (-1, 3).

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

The required velocity and position of the object at time t for the given acceleration a(t) is given by v(t) = (t, 1/2t^2) and r(t) = (1/2t^2, 1/6t^3 - 1/2) respectively.

Velocity of the object at time t,

Integrate the acceleration function a(t) with respect to time.

This gives us the velocity function v(t),

v(t)

= ∫a(t)dt

= (∫1dt, ∫tdt)

= (t, 1/2t^2) + C

where C is a constant of integration.

The value of C using the information that v(0) is parallel to the x-axis,

v(0)

= (0, C)

=(k, 0)

where k is some constant.

This means that C must be equal to 0.

And k must also be equal to 0 in order for v(0) to be parallel to the x-axis.

Velocity function is,

v(t) = (t, 1/2t^2)

Position of the object at time t,

Integrate the velocity function v(t) with respect to time.

This gives us the position function r(t),

r(t)

= ∫v(t)dt

= (∫t dt, ∫1/2t^2dt) + C'

where C' is a constant of integration.

Value of C' using the information that the object is at the origin when t=1,

r(1)

= (0, 0)

= (C', 1/2 + C'')

where C'' is another constant.

This means that C' must be equal to 0.

And C'' must be equal to -1/2 in order for the object to be at the origin when t=1.

Position function is,

r(t) = (1/2t^2, 1/6t^3 - 1/2)

Therefore, the velocity of the object and the position of the object at time t is equal to v(t) = (t, 1/2t^2) and r(t) = (1/2t^2, 1/6t^3 - 1/2) respectively.

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Answer:

68,640 $

Step-by-step explanation:

by simply multiplying the sum he earns by one week with 52 which the number of weeks a year has you get the answer. now this answer does not consider the amount of off days he gets or other holidays!

Answer:(-6 5/6)

Step-by-step explanation:

-12.5=-12-1/2

-5 2/3= -5-2/3

=(-12 3/6)-(-5 4/6)

=(-6 5/6)

gimme brainlliest

Answer:

B

Step-by-step explanation:

Answer:

If it is asking for the total of both then it should be 6 1/4

Step-by-step explanation:

I added 4 3/4 and 1 1/2

Answer:

x − 43 = 90

Step-by-step explanation:

2x + 43 = 180

2x − 43 = 90

x + 43 = 180

x − 43 = 90

Step-by-step explanation:

5th - 13

6th - 20

7th - 27

8th - 34

‍♂️

The polynomial 3x^4 - 3x^2 - 7x is classified as a Cubic Trinomial.

The polynomial 3x^4 - 3x^2 - 7x can be classified as a Cubic Trinomial.

Here's the breakdown of the classification:

Degree: The highest power of the variable x is 4, so the degree of the polynomial is 4. Since the degree is 4, the polynomial is not cubic (which would have a degree of 3) or quintic (which would have a degree of 5).

Number of terms: The polynomial consists of three terms: 3x^4, -3x^2, and -7x. A polynomial with three terms is called a trinomial.

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Answer:Quartic trinomial

Step-by-step explanation:

Don't listen to the other guy, I put cubic and I got the answer wrong thanks to the other guy.

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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Answer:

I think it would be 70mi/h if u need explanation tell me

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

Step-by-step explanation:

100x$25.05= $2505

Answer: $2,805

Step-by-step explanation: I assume you want to know how much it costs. You multiply 10 feet by 10 feet and get 100 ft squared, and that means 100 square yards, so you would multiply 28.05 by 100 and get $2,805.

Answer:

The probability that all three have type B​+ blood is 0.001728

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability that a person in the United States has type B​+ blood is 12​%.

This means that \(p = 0.12\)

Three unrelated people in the United States are selected at random.

This means that \(n = 3\)

Find the probability that all three have type B​+ blood.

This is P(X = 3).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.12)^{3}.(0.88)^{0} = 0.001728\)

The probability that all three have type B​+ blood is 0.001728

First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.

Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.

I hope you find this helpful :)

Answer:

790

Step-by-step explanation:

7098uuilu4645

Answer:  d = 382

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

Work Shown:

d = 350*sec(x)

d = 350*(1/cos(x))

d = 350*(1/cos(0.41))

d = 381.62910632113

d = 382

Make sure your calculator is in radian mode.

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Answer:

-0.21428571428

Answer:

0.2916 = 29.16% probability that one of them is pre-diabetic

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition, or they do not. Each volunteer in independent of other volunteers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition.

This means that \(p = 0.1\)

Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic

This is P(X = 1) when n = 4. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916\)

0.2916 = 29.16% probability that one of them is pre-diabetic

Hey there! I'm happy to help!

Let's look at all of the perfect squares (numbers with integer square roots) so that we can see where the square root of 12 lies.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=100

We see that √12 would be in between √9 and √16 (3 and 4), so the square root of 12 is in between 3 and 4.

I hope that this helps! Have a wonderful day! :D

The square root of 12 lies between the whole numbers 3 and 4.

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way.

Let's look at all of the perfect squares (numbers with integer square roots) so that we can see where the square root of 12 lies.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=100

We see that √12 would be in between √9 and √16 (3 and 4), so the square root of 12 is in between 3 and 4.

Therefore, the square root of 12 lies between the whole numbers 3 and 4.

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The key points she can use to graph the equation are x-intercept(1,0)

x-intercept (-3,0) and vertex (-1,-8) using quadratic equation key points.

What are quadratic equations ?

A quadratic equation is a second order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

D is the determinant i.e. equal to

b^2 - 4ac.

The vertex = (-b/2a , -D/4a) that may be minimum or maximum

If a>o parabola opens upward

if a<0 parabola opens downward.

If D>0 parabola cuts x axis at two points.

The given quadratic equation is

y = 2x^ 2 + 4x -6

The value of a = 2

b = 4

c = -6

So, the parabola opens in upward.

D = 64  i.e. positive

So, to draw the graph we need to find vertex and two points at x-axis

vertex :

-b/2a = -4/2*2

         = -1.

-D/4a = -64/4*2

          = -8.

So, the vertex = (-1,-8).

To find points at x-axis :

First put equation = 0,

2x^ 2 + 4x - 6 = 0

x = -3 and 1

So, the points are (-3,0)and (1,0)

The graph will be upward parabola with vertex (-1,-8)

and x-intercepts- (1,0) (-3,0).

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The dot plot in option (C) matches the given data.

Based on the values of each point, a dot plot visually groups the number of data points in a data set. Similar to a histogram or probability distribution function, this provides a visual representation of the data distribution.

Data points are represented as dots on a graph with an x- and y-axis in a data visualisation technique called a dot plot, often referred to as a strip plot or dot chart.

We have the data,

0,0,0,1,1,1,1,2,2, 2, 3, 3, 4, 4,8

We have four dot plot.

Dot plot A missing the data 3.

Dot plot B have only one 3.

Dot plot C have the same data.

∴ From the four options, the dot plot in option (C) matches the given data

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y=5/6x+8

...............

Answer:

2cm

Step-by-step explanation:

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