In a random survey of 50 students at Great Middle school,32 said chocolate was their favorite flavor of yogurt.The school has 450 students.How many of them are likely to select chocolate as their favorite flavor?

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer:

An example of an invertebrate are insects, crabs, spiders....

Step-by-step explanation:

Invertebrate Are animals that their legs are jointed.

Answer:

the snail

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

42/48=7/8

40/48=5/6

(お役に立てれば！)

Step-by-step explanation:

339 = 13 s      divide both sides by 13

s = 26.08

Maybe you meant

39 = 13 s    divide both sides of the equation by 13

s = 3

Answer:

c = 2.2m is the answer.

Step-by-step explanation:

a = 1m

b = 2m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

1² + 2² = c²

1 + 4 = c²

c² = 5

c = 2.2m

∴ the slide is 2.2m long.

The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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Answer:

A baseline score of 99% needs to be set.

Step-by-step explanation:

Since this is an example of a classification problem (the classes being whether somebody has been infected with a new virus or not), the ideal score to achieve in such a case is 100%. Hence, a baseline score of 99% should be set in order to get to 100% by outperforming it.

A baseline score of 99% needs to be set.

The following information should be considered:

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Answer:

okay, well, is there any link u wanna post for us to help u? maybe we can explain it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using

Point A: x= 1 and y=3

And point B: x=-2 and y=-6

use equation of slope and substitute the values

Slope= YB-YA/Xb-Xa

= -6-3/-2-1

=3

Answer:

17 ÷ 506 = 0.0335968379

506 ÷ 17 = 29.7647059

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Tis will be your answer :D

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

a 1/5

Step-by-step explanation:

Answer:

The answers A 1/5

Step-by-step explanation:

The volume generated by rotating the region about x = 3 is (54π/5).

First, we need to find the intersection points of the two curves:

y = 18 - \(x^2\)

y = \(x^2\)

Setting them equal, we get:

18 - \(x^2\) =\(x^2\)

Solving for x, we get:

x = ±3

So the region bounded by the curves is:

3 ≤ x ≤ -3

0 ≤ y ≤ \(x^2\)

To use the method of cylindrical shells, we will imagine the region being rotated about the line x = 3. This means that the axis of the cylindrical shells will be parallel to the y-axis. A typical shell will have a radius of x - 3 and a height of dy.

The volume of a typical shell can be found using the formula:

dV = 2πr h dy

where r = x - 3 and h = y. The factor of 2π comes from the fact that we are rotating the region around a vertical line.

Substituting in the values for r and h, we get:

dV = 2π(x - 3) y dy

To find the total volume, we need to integrate over the region:

V = ∫(from 0 to 9) 2π(x - 3) y dy dx

The limits of integration for x are from 0 to 3, since the curves are symmetric about the y-axis. The limits of integration for y are from 0 to \(x^2.\)

Performing the integration, we get:

V = ∫(from 0 to 3) ∫(from 0 to \(x^2\)) 2π(x - 3) y dy dx

V = ∫(from 0 to 3) π(x - 3) \(x^4\) dx

V = π ∫(from 0 to 3) (\(x^5 - 3x^4\)) dx

V = π [\((1/6)3^6 - (1/5)3^5\)]

V = (54π/5)

Therefore, the volume generated by rotating the region about x = 3 is (54π/5).

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Answer:

z = 735.25

Step-by-step explanation:

Following steps explain :

\(\frac{4\left(z+6\right)}{4}=\frac{2965}{4}\\z+6=\frac{2965}{4}\\z+6-6=\frac{2965}{4}-6\\z=735.25z=\frac{2941}{4}\)

Looks kinda sloppy, but I think you can see what I did :)

#SpreadTheLove <3

Answer:

The man

Step-by-step explanation:

Let's say the hotel cost $12400(just an example...)

So the website will show $12400. And the man needs to pay $12400.

Since one pound is 1.24 dollars, 12400 dollars will be 12400/1.24=10000 pounds.

12400>10000, so the man is right, the number of pounds will be less than the number of dollars shown.

The man is right about the Exchange rate.

The rate at which one currency will be exchanged for another is known as the exchange rate. The most frequent types of currencies are national currencies,

A currency's relative value expressed in terms of another currency is called an exchange rate (or group of currencies). The exchange rate is a significant economic variable for nations with active international trade, like Australia.

Given:

The Situation is The man's friend told him that " It will actually cost more

pounds than the price shown, because of the exchange rate."

This means the price in pounds is more than dollar.

But the exchange rate is found to be

£1 = $1.24

So, the price in dollar is more than in pounds.

Hence, the Men is correct.

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Answer:

its 5x-16/2

Step-by-step explanation:

Step-by-step explanation:

x^2 + 2x - 8

d=b²-4ac=4+32=36

x1=(-b+√d)2a=(-2+6)/2=2

x2=

(-b-√d)2a=(-2-6)/2=-4

x=2 and x=-4

Answer:

\(g(x) = 3(x - 12)^{2} - 5\)

Step-by-step explanation:

Horizontal translations = f(x ± h)

Reflection over the x-axis = - f(x)

For the function \(f(x) = - 3(x - 4)^{2} +5\), translating the parabola 8 units to the right means the horizontal shift of the graph, adding (- 8) to the h input.  This is represented by: \(g(x) = - 3(x - 12)^{2} +5\).  

Next, flipping the graph over the x-axis represent a reflection. Since we currently have a negative coefficient for the value of a, then the opposite of a negative coefficient is a positive coefficient.

Therefore, the rightward horizontal translation of 8 units, and the reflection of the graph over the x-axis is represented by:

\(g(x) = 3(x - 12)^{2} - 5\)

For your reference, the three images below shows the transformations on the graph. The first image is the original function (in red parabola). The second image represents the reflection over the x-axis (green parabola). The third image shows the horizontal shift, 8 units to the right (blue parabola). If you take note of the varying values in vertices, (h, k ) for the three graphs, you'll see that the original vertex was (4, 5) and the new vertices for the transformations are (4, -5) for the reflection and (12, -5) for the shift.

The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.

A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.

To create a whisker plot, follow these steps:

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The equation to show the perimeter of the rectangle is P = 2(2w + 5)

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

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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Answer:

65%

Step-by-step explanation:

We need to divide to solve this :)

13/20 = 0.65

Now we multiply :)

0.65 x 100 = 65%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

D. 65%

Step-by-step explanation:

the Number of red marbles is 13

The total number of marbles is 13 + 7 = 20

Then

the percentage of red marbles is :

\(\frac{13}{20} \times 100\)

\(=\frac{13 \times 100}{20}=13 \times 5=65 \%\)

The average rate of change of the function over the interval (-1, 2) is 3.

Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.

Difference quotient of a function over an interval is also the same concept as the average rate of change of a function.

Average rate of change of a function f(x) over an interval (a, b) is \(\frac{f(b) - f(a)}{b-a}\).

Given interval is (-1, 2).

From the graph, f(-1) = -4 and f(2) = 5

Average rate = \(\frac{f(2) - f(-1)}{2--1}\) = (5 - -4) / (3) = 9/3 = 3

Hence the given function has an average rate of change over the interval (-1, 2) at 3.

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The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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Answer:

one solution

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

The number of ways that there are to get dealt exactly a single pair is; 6,589,440 ways

The combination in probability selection is defined as a method where we count the number of ways a certain number of objects can be arranged in "n" different ways. If the number of different objects are "n", then it means that the number of ways that we can select "r" number of different objects is expressed as:

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

The total number of cards that we have in a deck of cards = 52.

There total number of different cards are 13 in number and this tells us that we can possibly have a pair of any one of the 13 cards. There are also 4 cards of the same rank and this means that the number of ways of selecting two cards of the same rank is; 4C2 = 6 ways

After selecting a card for the pair, we have 48 different cards as an option for the third card. Thereafter, we will have a total of 44 cards as an option for the fourth card and then 40 cards will be an option for the fifth card (due to the fact that none of the cards can be of same rank except for the pair of cards).

Therefore, the total number of ways that we can deal with exactly a single pair can be expressed as:

Number of ways = number of ways for the pair × number of ways for the third card × number of ways for the fourth card × number of ways for the fifth card

Plugging in the relevant values gives;

Number of ways = (13 × 6) × 48 × 44 × 40

= 6,589,440 ways

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Answer:

(e) x−y>(−23)

x+7>(−2) and y−5<9  

First isolate x and y  

x+7>(−2)→ x > -9  

y−5<9→ y < 14  

Transform the second inequality to make the < to a > (multiply by -1):  

y < 14  → -y > -14    

add both inequalities:  

x > -9 and -y > -14  

x-y > -9 - 14  

x - y > -23

Step-by-step explanation:

The required solution is x - y > -23.

It is required to find the solution.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

We have to find the fill in the blanks.

By applying the inequality we have,

According to given question we have,

x+7>(−2) and y−5<9

First isolate x and y  

x+7>(−2)→ x > -9  

y−5<9→ y < 14  

Transform the second inequality to make the < to a > (multiply by -1):  

y < 14  → -y > -14    

add both inequalities:  

x > -9 and -y > -14  

x-y > -9 - 14  

x - y > -23

Therefore, the required solution is x - y > -23.

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option is missing

x - y > -23.

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

Answer:

C i think

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

use the side splitter theorem

6/12 = x/18 (replacing AQ with x)

12x = 108 (cross multiply)

x = 9

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)