The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at
the movie?

Answer:

option c

Step-by-step explanation:

Quadratic function f(x) = ax² + bx  +c

Here the the co-efficient of x,  that is a tells if the graph is wider or narrower.

1) a < 1  that is if a is decimal less than 1, then the graph is wider.

2) a > 1, then the graph is narrow.

Graph

Procedure

Answer: 75

Step-by-step explanation:

To find the sum of these numbers, we simply add them together:

15 + 28 + 12 + 20 = 75

Therefore, the sum of 15, 28, 12, and 20 is 75.

Answer:

-9?

Step-by-step explanation:

Answer:

c = 8^5

d = 7^2

Step-by-step explanation:

Answer:

c) =8^5

d) =7^2

Step-by-step explanation:

i hope this helps :)

Answer:[

−

2

,

∞

)

,

{

x

|

x

≥

−

2

}

Step-by-step explanation:

The rate of change in this table of values is also the slope. Solve for the slope using any two points in the table. In this instance we will be using (1,5) and (2,6)

Therefore, the rate of change is 1.

To maximize the likelihood function, we take the derivative with respect to θ and set it equal to zero: d/dθ[L(θ|X1,X2,...,Xn)]=−n/θ+(X1+X2+⋯+Xn)/θ2=0.

The MLE for θ in the exponential distribution is simply the sample mean of the observed data.

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson point process. X1,X2,...,XnX1,X2,...,Xn is a random sample of size n from this distribution, which means that each XiXi is an independent and identically distributed random variable with the same exponential distribution.

The probability density function (pdf) of the exponential distribution is given by f(x:θ)=(1/θ)e−x/θ, where θ is the scale parameter. This means that the probability of observing a value x from the distribution is proportional to e−x/θ, with the constant of proportionality being 1/θ.

To estimate the value of θ based on the observed data, we can use the method of maximum likelihood estimation (MLE). The likelihood function for the sample X1,X2,...,XnX1,X2,...,Xn is given by L(θ|X1,X2,...,Xn)=∏i=1n(1/θ)e−Xi/θ=(1/θ)n e−(X1+X2+⋯+Xn)/θ.

Solving for θ, we get θ=(X1+X2+⋯+Xn)/n, which is the sample mean.

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Answer:

sheu7euw73u3hsusuuwueudhdhdhsjsjwiwuwuehehdggdhdue

Step-by-step explanation:

hzhsusududjdndjdhehhshshhdhdhdhdhdhdhdhdhbhdhdhhdhdhdudxbdhdhdhdhhshdhyehsuehduwhgduwhdydh

Step-by-step explanation:

Step 1: The factors of -60 that add up to -11 are -15 and 4.

Step 2:

\(( 6{x}^{2} - 15x)( 4x - 10)\)

Step 3:

\(3x(2x - 5) + 2(2x - 5)\)

\((3x + 2)(2x - 5) \)

There are 3,628,800 ways to arrange 12 distinct people in a row so that Dr. Tucker is 3 positions away from Dr. Stanley.

To count the number of arrangements of 12 people with Dr. Tucker and Dr. Stanley positioned 3 apart, we can treat Dr. Tucker and Dr. Stanley as a single block of two people, and then arrange the resulting 11 blocks in a row.

Since Dr. Tucker and Dr. Stanley can occupy any of the 10 possible positions (the first two positions, the second and third, and so on up to the last two positions), there are 10 ways to form this block.

After the block is formed, we are left with 10 remaining people to arrange in the remaining 10 positions. There are 10! ways to arrange these people, so the total number of arrangements is:

10 x 10! = 3,628,800

Therefore, there are 3,628,800 ways to arrange 12 distinct people in a row so that Dr. Tucker is 3 positions away from Dr. Stanley.

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We can start by finding the time it takes for Gill to travel the first 27km:

Time taken = Distance / Speed = 27km / 96 km/h = 0.28125 hours

Next, we need to account for the 3-minute stop in Lens. Since 1 hour has 60 minutes, 3 minutes is 3/60 = 0.05 hours.

The total time taken for the journey from the start to Lens is:

0.28125 hours + 0.05 hours = 0.33125 hours

Now we need to find the time it takes for Gill to travel the final 29km:

Time taken = Distance / Speed = 29km / 96 km/h = 0.30208 hours

Adding the time taken for the first part of the journey to the time taken for the second part gives the total time taken for the journey:

0.33125 hours + 0.30208 hours = 0.63333 hours

Finally, we can add this time to the departure time of 09:00 to find the arrival time:

09:00 + 0.63333 hours = 09:38 (rounded to the nearest minute)

ANSWER IS B

Okay, here are the steps to solve this problem:

1) Gill leaves Lille by train at 09:00.

2) The train travels 27km at 96km/h. 27km / 96km/h = 0.2833h = 17min

3) So the train will arrive at Lens at 09:17 (09:00 + 17min)

4) The train stops at Lens for 3 minutes. 3min = 0.05h

5) So the train leaves Lens at 09:22 (09:17 + 3min = 0.05h)

6) The train then travels 29km at 96km/h. 29km / 96km/h = 0.3021h = 18min

7) So the train will arrive at Lillers at 09:40 (09:22 + 18min)

Therefore, the answer is C 09:40

Let me know if you have any other questions!

Answer:

do you mean to put it in y=mx+b form because that would be y=2+2

The first step in hypothetical-deductive reasoning is to formulate a hypothesis. A hypothesis is an educated guess or prediction based on observations and previous knowledge. It is a statement that can be tested and possibly falsified through further observations and experiments. Once a hypothesis is formulated, the next step is to design an experiment or observation to test it. This involves identifying variables that can be manipulated or measured and determining the methods for manipulating or measuring them. After the experiment or observation is conducted, the data are analyzed and conclusions are drawn based on the results. The conclusions may confirm or reject the hypothesis, leading to further refinement of the hypothesis or the development of a new hypothesis.

The first step in hypothetical-deductive reasoning is the formulation of a hypothesis.

Hypothetical-deductive reasoning starts with the formulation of a hypothesis, which serves as a tentative explanation or prediction for a given phenomenon or problem. In this process, an individual or researcher uses their knowledge, observations, and previous information to generate a possible solution or explanation.

The formulation of a hypothesis involves considering the available evidence, conducting research, and analyzing the existing data. It requires critical thinking and creativity to develop a logical and testable statement that can be further investigated. The hypothesis should be specific, clear, and based on logical reasoning.

Once a hypothesis is formulated, it serves as a starting point for the deductive phase of reasoning. Deductive reasoning involves making specific predictions or deriving logical consequences based on the hypothesis. These predictions can then be tested through empirical research or experiments to evaluate the validity of the hypothesis and gather further evidence.

Overall, the first step in hypothetical-deductive reasoning is the formulation of a hypothesis, providing a framework for subsequent investigation and the generation of testable predictions.

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Answer:

x-intercept: 6

y-intercept: -3

Step-by-step explanation:

5x - 10y + 30

Start with: 5x = 30

divide the 5 with 30:

5x = 30

5       5

and 30 divide 5 is 6.

then do: -10y = 30

-10y = 30

-10     -10

30 divide -10 is -3.

I don´t really know how to explain it but yeah, there you go

Anyways, have a nice day and your welcome!

The inequality describing this problem is given as follows:

4r + 2s > 30.

The variables for this problem are given as follows:

Bill will practice for more than 30 minutes, hence the inequality is given as follows:

4r + 2s > 30.

(the sign > is used as the sign is the more than symbol in inequality).

As we have more than and not at least in the sentence, the symbol used does not contain the equal sign, meaning that the interval is open.

The problem is given by the image presented at the end of the answer.

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Answer: Sym. Prop. of ≅

Step-by-step explanation:

no explanation

El porcentaje es la forma de expresar un número como una fracción que tiene como denominador el número 100, conocido también, como tanto por ciento. También es un símbolo que significa una fracción de cien, que su símbolo es % que se lee tanto por ciento.

the total amount of oil that leaks out over the entire time interval [0, 120].

integral ∫₀¹₂₀ r(t) dt represents the total amount of oil that leaks from the tank in 120 minutes.

To see why, consider the definition of an integral. If we divide the interval [0, 120] into small subintervals of width Δt, then the amount of oil that leaks out during each subinterval is approximately r(t)Δt. Summing up all these small amounts over the entire interval gives:

Σᵢ r(tᵢ) Δt

where tᵢ is the midpoint of the i-th subinterval. As we take the limit as the subinterval width goes to zero, this sum becomes the integral:

∫₀¹₂₀ r(t) dt

which represents the total amount of oil that leaks out over the entire time interval [0, 120].

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Answer

0. Horizontal translation 5 units.

1. Reflection over the x-axis

2. Vertical compression 2 units

3. Vertical translation down 3 units

Explanation

• Writing the function in completed-square form.

As a ≠ 1, where a is the coefficient of the leading term, to write it in the completed-square form we have to make a = 1:

Now we have to take half of the x term and square it and add it to the function as follows:

Finally, we have a Perfect Squared Trinomial in the left side that we can rewrite as follows, obtaining our function g(x):

As our parent function is:

Then, the transformations that suffered were:

• Horizontal translation to the left 5 units

• Reflection over the x-axis

• Vertical compression 2 units

• Vertical translation down 3 units

The correct choice is (A): It is possible. Since Cx- v is consistent for every v in R, according to the Invertible Matrix Theorem that makes the 6x6 matrix not invertible. Since it is not invertible, Cx - v does not have a unique solution.

Because there are infinitely many solutions to Cx = v, if the equation Cx- v is consistent for every v in R6, the matrix C has a nontrivial nullspace (the set of all solutions to the homogeneous equation Cx = 0). The Invertible Matrix Theorem states that a matrix is invertible if and only if its nullspace contains the zero vector. As a result, if C's nullspace is nontrivial, C is not invertible.

If C is not invertible, it has no unique inverse, and so Cx- v lacks a unique solution for some v in R6. As a result, for some v, the equation Cx- v may have more than one solution.

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Answer: 97

Step-by-step explanation:

The diagonal equals the square root of the width squared plus the height squared.

Answer: It would be 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

2115

Answer:

456 is the answer

Step-by-step explanation:

(4y(5))^2+9z(7)-7

The hypothesis test is two-tailed because the null hypothesis is that the mean height is equal to 170, and the alternative hypothesis is that it is not equal to 170.

We want to know if the current average height of the male students has changed from the mean of 170 cm over the years, based on a recent random sample of n = 23 students' heights.

Null hypothesis: H0: u = 170

Alternative hypothesis: H1: u ≠ 170 (two-tailed test)

The appropriate null and alternative hypotheses for u are given by: H0: u = 170 (There is no significant difference between the current average height and the mean height in 2010.)

H1: u ≠ 170 (There is a significant difference between the current average height and the mean height in 2010.)

*Complete question:

The heights (in centimeters) of male students at a college have a roughly symmetric distribution with unknown mean y and unknown standard deviation o. The average height of the male students was known to be 170 cm in 2010. We want to know if the current average height of the male students has changed from the mean of 170 cm over the years, based on a recent random sample of n = 23 students' heights. (a) (1 pt) State the appropriate null and alternative hypotheses for u. What is the hypothesis test and why?

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∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.

To find ∂z/∂s and ∂z/∂t, we use the chain rule of partial differentiation. Let's begin by finding ∂z/∂s:

∂z/∂s = (∂z/∂)(∂/∂s)[(st9) cos(s9t)]

We know that ∂z/∂ is cos()cos() - sin()sin(), and

(∂/∂s)[(st9) cos(s9t)] = t9 cos(s9t) + (st9) (-sin(s9t))(9t)

Substituting these values, we get:

∂z/∂s = [cos()cos() - sin()sin()] [t9 cos(s9t) - 9st2 sin(s9t)]

Simplifying the expression, we get:

∂z/∂s = -sin()cos()t9 + cos()sin()9st2

Similarly, we can find ∂z/∂t as follows:

∂z/∂t = (∂z/∂)(∂/∂t)[(st9) cos(s9t)]

Using the same values as before, we get:

∂z/∂t = [cos()cos() - sin()sin()] [(s) (-sin(s9t)) + (st9) (-9cos(s9t))(9)]

Simplifying the expression, we get:

∂z/∂t = sin()cos()s - cos()sin()81t

Therefore, ∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.

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Answer:

Step-by-step explanation:

Midpoint  =  (x₁+ x₂)/2 , (y₁ +y₂)/2

 =   [(-1)+(-3))/2] , (-2 + 9)/2

 =   (-4/2) , (-7/2)

 =   (-2 , -3.5)

The IH states that the sum of the angles in convex polygon C(which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A.

Using induction all convex polygons with n vertices have angles that add to (n - 2)·π, therefore let P(n) be that. We will demonstrate that P(n), where n≥3, holds for every n ∈ N. We demonstrate P(3), which states that any convex polygon with three vertices has an angle total of 180 degrees. Any triangle formed by such a polygon has angles that add up to 180°.

Assume that P(n) holds for some n ≥ 3 and that all convex polygons with n vertices have angles that add to (n-2) 180° for the inductive step. We demonstrate P(n+1), which states that each convex polygon with n+1 vertices has an angle sum of (n-1)·π. Let A represent any n+1-vertex convex polygon.

The IH states that the sum of the angles in convex polygon C (which, by the IH, is (n - 2)·π) and the sum of the angles in triangle B (180°) is the same as the sum of the angles in A. As a result, the total angle in A is (n-1) 180°. Thus, the induction is complete and P(n + 1) holds.

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The z statistic for the hypothesis test is in the critical region. Therefore, the researcher can reject the null hypothesis, and she can conclude that the alternative hypothesis is probably correct.

To determine whether the z statistic is in the critical region, we compare it with the critical z value. The critical z value for a two-tailed test with an alpha of .001 is ±3.29. Since the calculated z statistic of 4.16 is greater than the critical z value, it falls within the critical region.

When the z statistic falls within the critical region, we reject the null hypothesis and accept the alternative hypothesis. In this case, since the researcher can reject the null hypothesis, she can conclude that the alternative hypothesis is probably correct.

Therefore, based on the given z statistic of 4.16 and an alpha of .001, the researcher can reject the null hypothesis and conclude that the alternative hypothesis is probably correct.

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Answer: x = 29.

Step-by-step explanation: Step 1: Simplify both sides of the equation.

x−6=23

Step 2: Add 6 to both sides.

x−6+6=23+6

x=29

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