The circle graph shows the results of a survey about favorite farm animals. If 400 people were surveyed, how many more people prefer pigs than chickens?

Answer:

312, 313, and 314

Step-by-step explanation:

Since the three numbers are consecutive, each one is one larger than the last. Therefore, we can express them as x, (x+1), and (x+2). Therefore:

\(x+(x+1)+(x+2)=939 \\\\3x+3=939 \\\\3x=936\\\\x=312\\\\x+1=313\\\\x+2=314\)

Hope this helps!

Point located at each location: 1) A  2) I 3) W 4) H 5) X 6) G 7) J 8) N 9) U 10) M 11). Ordered pairs are:  B(2,8) 12) E(0,0) 13) T(3,3) 14) Q(8,7)  15) Y(7,6) 16) R( 9,8) 17)  F(9,0) 18) S(3,6) 19) C(6,7)

An ordered pair is a pair of mathematical object elements, such as numbers or other mathematical elements, where the order in which the object elements are listed is important. The ordered pair is usually written in the form (a, b), where 'a' represents the first element or coordinate, and 'b' represents the second element or coordinate.

In the context of the Cartesian coordinate system, an ordered pair represents a point in two-dimensional space, where the first element or coordinate represents the horizontal position on the x-axis and the second element or coordinate represents the vertical position on the y-axis. The order of the elements in an ordered pair is crucial because (a, b) is different from (b, a) and represents a different point in two-dimensional space.

Point located at each location is:

1) A
2) I
3) W
4) H
5) X
6) G
7) J
8) N
9) U
10) M

The ordered pair for given points is:
11) B(2,8)

12) E(0,0)

13) T(3,3)
14) Q(8,7)

15) Y(7,6)

16) R( 9,8)

17)  F(9,0)

18) S(3,6)

19) C(6,7)

The graph for remaining is questions is attached below.

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Answer:

Matched samples

Step-by-step explanation:

A matched sample is obtained when pairing of treatment values for each subject or observation is performed. This sample obtained from a matched pair is usually called dependent sample and is usually done when each subject in an experiment is subjected to two different treatments usually at different time or stage. Hence, matched samples are used in matching observations to tie different groups.

Answer:

x = 50,

Step-by-step explanation:

Answer:

5^3·g^12·h^9  or 125g^12·h^9

Step-by-step explanation:

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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......,,........,.....-.......

The median would best describe the centre of the distribution for a highly skewed right histogram of US household income.  The correct option is A.

The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.

Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.

The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.

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The distance between town A and town B is 93.5 km.

Solving for  the distance between town A and town B:

Let's first convert the 42 minutes delay of the car to hours:

42 minutes = 42/60 hours

                    = 0.7 hours

Now, let's assume that the time it took for the car to travel from A to B is t hours.

The distance between A and B is the same for both the lorry and the car, so we can set up an equation:

Distance = Speed x Time

For the lorry:

Distance = 50t

For the car:

Distance = 80 (t-0.7)

We know that when the car arrived at B, the lorry had 25km left to cover. So:

50t - Distance covered by lorry = 25

50t - (50t - 25) = 25

Simplifying:

25 = 25

This equation is always true, which means our assumptions are correct.

Therefore, we can equate the two distance equations:

50t = 80(t-0.7)

50t = 80t - 56

30t = 56

t = 1.87 hours

Finally, we can use the distance equation with either the lorry or the car to find the distance between A and B:

Distance = Speed x Time

Distance = 50 x 1.87

Distance = 93.5 km

So the distance between town A and town B is 93.5 km.

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Answer:

\(25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you\)

Answer:

2nd option and last option

Step-by-step explanation:

the first option is an equation: it has a solution.

the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.

the third option is an equation since it has the equal sign, and thus, has a solution.

the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)

lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.

Answer:

$168 or $168.00

Step-by-step explanation:

an = a^1 + (n-1)d = 78 + (2 - 1)90

= $168 or $168.00

Answer: \(\tan^2 t\)

Step-by-step explanation:

\(\sin^{2} t+\cos^2 t=1 \implies 1-\cos^2 t=\sin^2 t\\\\\implies \frac{1-\cos^{2}t}{\cos ^2 t}=\frac{\sin ^2 t}{\cos^2 t}=\tan^2 t\)

Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

Answer:

0.6 = 60% probability that he or she studies on a weeknight.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Probability A: Probability of a student studying on weeknights.

Probability B: Probability of a student studying on weekends.

Forty-two percent of students said they study on weeknights and weekends

This means that \(P(A \cap B) = 0.42\)

47% said they studied on weekends

This means that \(P(B) = 0.47\)

65% said they study either on weeknights or weekends.

This is \(P(A \cup B) = 0.65\)

If you were to pick one student at random, what is the probability that he or she studies on a weeknight?

This is P(A), and the equation used is:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

Considering the values we have:

\(0.65 = P(A) + 0.47 - 0.42\)

\(0.05 + P(A) = 0.65\)

\(P(A) = 0.6\)

0.6 = 60% probability that he or she studies on a weeknight.

Answer: 60% joaobezerra Is Right, and Confirmed by Buzz (Acceleration Education)

Step-by-step explanation:

We solve this question by treating these events as Venn probabilities. Forty-two percent of students said they study on weeknights and weekends. This means that 47% said they studied on weekends. This means that 65% said they study either on weeknights or weekends. This is If you were to pick one student at random, what is the probability that he or she studies on a weeknight?

0.6 = 60% that he or she studies on a weeknight.

Answer: 11 9/35

Step-by-step explanation: just add the whole number to the fraction.

Answer & Step-by-step explanation:

\(11+\frac{9}{35}\)

Add the whole number to the fraction:

\(11 \frac{9}{35}\)

:Done

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

Mean.

Step-by-step explanation:

When a doctor analyzes the increase in systolic blood pressure caused by a certain chemo drug. The doctor would be more interested in studying the mean of the number of observed systolic blood pressures. As mean would give a better understanding of pressure since it involves the use of all observations. However, it is important to keep in mind that all the units should be considered for the average.

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

x=9 or -9

Step-by-step explanation:

the equation is:x^2-8=420-347

420-347=73

if x=9 then 81-8=73

and then 73=73

so x=9

hope this helps!

please mark my answer as brainliest! thanks! :)

We cannot calculate the radius of the orbit using the information provided.

(a) To calculate the distance travelled in one orbit, we need to use the formula that relates the circumference of a circle to its radius, which is given by C = 2πr.

Here, C represents the distance travelled in one orbit, and r is the radius of the orbit.π = 3.14159265..

Given the number of orbits made by the spacecraft is 58376. The distance travelled in one orbit is as follows;

C = 2πr= 2 x π x r= 2 x 3.14159265.. x r= 6.28318531rTherefore, the distance travelled in one orbit is 6.28318531r.

To calculate the distance travelled in one orbit, we need to know the radius of the orbit.(b) The distance travelled by the spacecraft is not given.

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A 95% confidence interval for the difference of the meantime that the customers stayed for lunch and for dinner the correct option is option a (3.35, 16.65).

Given:

The number of random customers n1 = 25

The number of random customers n2 = 30

x1 = 45, x2 = 55

σx1 = 10, σx2 = 15

Zα12 = Z0.025 = 1.96

95% confidence interval,

= {(x2-x1) ± Zα12 [(σx1)^2/n1 + (σx2)^2/n2]^0.5}

= {(55-45)  ± 1.96 [\(10^{2}\)/25 + \(15^{2}\)/30]^0.5}

= {10 ± 1.96(4 + 7.5)^0.5}

= {10 ± 1.96(11.5^0.5)}

= {10 ± 1.96(3.3911)}

= {10 ± 6.6466}

=> (10-6.6466, 10 + 6.6466)

=> (3.35, 16.65)

So, the correct option is a (3.35, 16.65) for the difference of the meantime.

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

\(y = 5\).

Or, equivalently:

\(\begin{aligned}\begin{bmatrix}0 \\ -3 \\ 0\end{bmatrix} \left(\begin{bmatrix}x \\ y \\ z\end{bmatrix} - \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix}\right) = 0\end{aligned}\).

Step-by-step explanation:

Every plane in \(\mathbb{R}^{3}\) could be represented with a vector equation of the form \(\vec{n}\, (\vec{r} - \vec{r}_{0}) = 0\), where:

Notice that in this question, the coordinates (and hence the position vectors) of the points in this plane are already given. For example, the position vector of the point \((1,\, 5,\, -3)\) is the vector:

\(\begin{aligned}\vec{r}_{0} = \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix}\end{aligned}\).

Specifically in \(\mathbb{R}^{3}\), normal vectors of a plane could be found by:

Subtracting position vectors of points in this plane from each other would give directions that are parallel to this plane:

\(\begin{aligned}\begin{bmatrix}2 \\ 5 \\ -3\end{bmatrix} - \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix} = \begin{bmatrix}1 \\ 0 \\ 0\end{bmatrix}\end{aligned}\).

\(\begin{aligned}\begin{bmatrix}3 \\ 5 \\ 2\end{bmatrix} - \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix} = \begin{bmatrix}2 \\ 0 \\ 5\end{bmatrix}\end{aligned}\).

The cross product between these two vectors in \(\mathbb{R}^{3}\) would be:

\(\begin{aligned} \vec{n} = \begin{bmatrix}1 \\ 0 \\ 0\end{bmatrix} \times \begin{bmatrix}2 \\ 0 \\ 5\end{bmatrix} = & \begin{bmatrix}0 \times 5 - 0 \times 0 \\ 0 \times 2 - 1 \times 5\\ 1 \times 0 - 0 \times 2\end{bmatrix} = \begin{bmatrix}0 \\ -3 \\ 0\end{bmatrix}\end{aligned}\).

(Note that the cross product between other directions parallel to the plane might give other normal vectors that are parallel to the one in this example.)

Using the position vector of the point \((1,\, 5,\, -3)\) as \(\vec{r}_{0}\), one possible vector equation for this plane would be:

\(\begin{aligned}\begin{bmatrix}0 \\ -3 \\ 0\end{bmatrix} \left(\begin{bmatrix}x \\ y \\ z\end{bmatrix} - \begin{bmatrix}1 \\ 5 \\ -3\end{bmatrix}\right) = 0\end{aligned}\).

Expand the dot product and simplify to obtain a scalar equation for this plane:

\(\begin{aligned}\begin{bmatrix}0 \\ -3 \\ 0\end{bmatrix} \begin{bmatrix}x - 1 \\ y - 5 \\ z - (-3)\end{bmatrix} = 0\end{aligned}\).

\(0\, (x - 1) + (-3)\, (y - 5) + 0\, (z - (-3)) = 0\).

\((-3)\, (y - 5) = 0\).

\(y = 5\).

Answer:

C. Domain : {Gem, Hesh, Sam}

Range : {Gale, Abby, Beni}

B. The relation in the figure is a function because each element in the range corresponds to exactly one element in the domain.

Step-by-step explanation:

The figure of the mapping is attached below.

From the diagram, the domain for the relation is the set of Fathers:

{Gem, Hesh, Sam}

The range is the set of Sons:

{Gale, Abby, Beni}

The relation is a function. This is because each element in the range corresponds to exactly one element in the domain.

Answer:

Step-by-step explanation: A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2. Any triangle of the form 30-60-90 can be solved without applying long-step methods such as the Pythagorean Theorem and trigonometric functions.

The symbol which would replace the O and create an in equality with no solution is; > (greater than)

The two inequalities given according to the attached image are;

We are required to identify which symbol would replace the O and create an inequality with no solutions.

In essence, since the other inequality is; x<= 3.

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Answer:

101.6cm²

Step-by-step explanation:

1 inch = 2.54cm

that means:

40in² × 2.54 = 101.6cm²

Answer: any negative value

Step-by-step explanation:

g(x)= ax², inc on x<0 & dec on x>0

Firstly we need to get the derivative of g(x)

g'(x)=2ax

for inc interval g'(x) should be +ve

x<0 (i.e. x= -ve), then a must be -ve

for dec interval g'(x) should be +ve

x>0 (i.e. x= +ve), then a must be -ve

so in both cases a must be a negative constant

Answer:

123 domestic stamps

89 foreign stamps

Step-by-step explanation:

Answer:

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.

Which equation represents the total number of stamps Malik collected?  

✔ x + y = 212

Which equation represents the difference in the number of foreign and domestic stamps Malik collected?  

✔ x – y = 34

Which system of linear equations represents the situation?  

✔ x – y = 34 and x + y = 212

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.

This system of equations models the given information for both stamp types.

x – y = 34

x + y = 212

Solve the system of equations.  

How many foreign stamps does Malik have?

✔ 89  foreign stamps

How many domestic stamps does Malik have?

✔ 123 domestic stamps

Step-by-step explanation:

its right on 2021 edge! :) hope this helps