being specific,name 3 ways that a parabola changes with different types of "a" values

To test the hypothesis that population 1 has a mean that is exactly 2 less than the mean of population 2, we can use a two-sample t-test with unequal variances.

The test statistic for this hypothesis is given by:
t = (x1 - x2 - d) / sqrt[(s1^2/n1) + (s2^2/n2)]
where x1 and x2 are the sample means, s1 and s2 are the respective standard deviations, n1 and n2 are the sample sizes, and d is the hypothesized difference in means (in this case, d = 2).
Substituting the given values, we get:
t = (34.5 - 30 - 2) / sqrt[(5^2/33) + (9^2/42)]
t = 2.5 / 1.747
t = 1.43 (rounded to two decimal places)
Therefore, the test statistic for this hypothesis is 1.43.

You want to test the hypothesis that the mean of population 1 is exactly 2 less than the mean of population 2. Given that sample 1 has a mean of 34.5 and sample 2 has a mean of 30, the respective standard deviations are 5 and 9, and the sample sizes are 33 and 42. To find the test statistic, follow these steps:
1. State the null hypothesis (H0) and the alternative hypothesis (H1):
  H0: μ1 - μ2 = 2
  H1: μ1 - μ2 ≠ 2
2. Calculate the difference in sample means (M1 - M2):
  34.5 - 30 = 4.5
3. Calculate the standard error of the difference in means:
  SE = √[(s1²/n1) + (s2²/n2)] = √[(5²/33) + (9²/42)] = √[(25/33) + (81/42)] ≈ 1.595
4. Calculate the test statistic (t):
  t = (M1 - M2 - D) / SE = (4.5 - 2) / 1.595 ≈ 1.568
The test statistic for this hypothesis test is approximately 1.568.

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the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).

To convert polar coordinates to rectangular coordinates, you can use the following formulas:

Given polar coordinates (r, θ), where r represents the distance from the origin (or pole) to the point, and θ represents the angle between the positive x-axis and the line connecting the origin to the point:

Rectangular coordinate x = r * cos(θ)

Rectangular coordinate y = r * sin(θ)

Here's a step-by-step process for converting polar coordinates to rectangular coordinates:

1. Identify the given polar coordinates (r, θ).

2. Use the formula x = r * cos(θ) to calculate the rectangular coordinate x.

3. Use the formula y = r * sin(θ) to calculate the rectangular coordinate y.

4. The rectangular coordinates (x, y) represent the equivalent representation of the given polar coordinates.

For example, let's say we have polar coordinates (r, θ) = (5, π/6). To convert these to rectangular coordinates:

x = 5 * cos(π/6) = 5 * (√3/2) = 5√3/2 ≈ 4.33

y = 5 * sin(π/6) = 5 * (1/2) = 5/2 = 2.5

So, the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).

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The answer option that matches the graph I drew include the following: D. graph D.

In Mathematics, the following rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph:

In this context, we can logically deduce that the most appropriate graph to represent the solution to the given inequality y ≤ - 2x is graph D because the solid boundary lines must be shaded below.

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1. There are 4194304 ways to choose the two pizzas

2. Ways to make one pizza with up to five topping is 1023

3. There is only one way to build the two pizzas.

4. Combinations = 523,503

5. The total number of ways to make two pizzas are 523,504

6. The same value that the boy claims in the advertisement.

A subfield of statistics known as probability studies random events and their likelihood of happening.

1. There are 11 toppings and each topping can be either included or excluded from a pizza, there are 2 choices for each topping. Therefore, there are 2^11 = 2048 ways to make one pizza. For two pizzas, there are 2048*2048 = 4194304 ways to choose the two pizzas.

2. For one pizza with up to five toppings, we can use combinations to determine the number of ways to choose toppings. Since we have 11 toppings to choose from and can choose up to 5, the number of ways to choose is:

C(11, 1) + C(11, 2) + C(11, 3) + C(11, 4) + C(11, 5) = 11 + 55 + 165 + 330 + 462 = 1023

3. If the two pizzas are identical, there is only one way to build the two pizzas.

4. If the two pizzas are different, we need to choose 2 of the 1023 possibilities from problem 2. Since order doesn't matter, we use combinations, and the number of ways to choose is:

C(1023, 2) = 523,503

5. The total number of ways to make two pizzas with up to five toppings each is the sum of the answers from problems 3 and 4:

1 + 523,503 = 523,504

6. The number 10242 is equal to 1,048,576. This is the same value that the boy claims in the advertisement. Therefore, the boy's claim is valid only if the pizzas can have up to 11 toppings each, not up to 5 as advertised.

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The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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Answer:

B. parallelogram

Step-by-step explanation:

A rectangular prism has a rectangle as its base .

Answer:

925 marks.

Step-by-step explanation:

AS Biraj had 20 less marks then the  40% pass mark must be 350+20 = 370.

370  is equivalent to 40%

So 100% = 100*370 / 40

= 925 marks.

Answer:

\(\( \huge green[ \mid \underline \overline[ \tt BILLIE }} \mid]]\) \: sorry \: i \: m \: testing \: something\)

Answer:

True

Step-by-step explanation:

Using the vertical line test you can see that it is indeed a function.

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

C = \(\frac{20}{7}\) or 2 \(\frac{6}{7}\) or 2.857142.

Step-by-step explanation:

All these are the same answers, just in different forms. Hope it helps!

Answer: complete the question please

Step-by-step explanation:

How much is a pound/lb? Then do 5.17 divided by (however much is a pound/lb)

To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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The value of the given expression is (5/3) ÷ (5/6 - 1/4) simplifies to 20/7.

There are a few key guidelines to keep in mind while simplifying fractions, including:

Eliminate common elements A fraction can be made simpler by cancelling out similar factors between the numerator and denominator. Divide fractions by the reciprocal by multiplying the first fraction by the reciprocal of the second fraction. To add or subtract fractions with various denominators, identify the least common denominator (LCD) and change each fraction to an equal fraction using that denominator.

The given expression is  (5/3) ÷ (5/6 - 1/4):

5/3 ÷ [(5/6) - (3/12)]

5/3 ÷ [(10/12) - (3/12)]

5/3 ÷ (7/12)

The expression can be written as:

5/3 x (12/7)

(5 x 12) / (3 x 7)

20/7

Hence, the value of the given expression is (5/3) ÷ (5/6 - 1/4) simplifies to 20/7.

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The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

The correct rule to describe the function

g(x) = 3f(x)

in terms of the function f(x) = x³-2x²+7x-11 is that

g(x) = 3(x³-2x²+7x-11) and thus

g(x) = 3x³-6x²+21x-33.

In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.

Therefore, g(x) = 3f(x) means that g(x) is three times f(x).

Thus, we can obtain g(x) as follows:

g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33

Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that

g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

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Points J, K, and L are collinear. Point K is between J and L,

JL = 17y - 15, JK = 5y + 10, and KL = 9y + 2. Then the Value of JL = 17y - 15

In geometry, collinear points lie on the same straight line. Given three collinear points J, K, and L where K lies between J and L, we are tasked with finding the length of JL based on the expressions for JK and KL in terms of the variable 'y'.

1. Understanding the Problem: We are given that J, K, and L are collinear points, with K between J and L. The lengths of segments JK, KL, and JL are represented by the expressions 5y + 10, 9y + 2, and 17y - 15 respectively, where 'y' is a variable we need to solve for.

2. Using Segment Addition Postulate: According to the segment addition postulate, the sum of the lengths of two smaller segments is equal to the length of the larger segment they form. Applying this to our problem, we have: JK + KL = JL.

3. Substituting Lengths: Substituting the given expressions for JK and KL, we get: (5y + 10) + (9y + 2) = 17y - 15.

4. Solving for 'y': Now, let's solve for 'y'. Combine like terms on the left side: 14y + 12 = 17y - 15.

5. Isolating 'y': Subtract 14y from both sides: 12 = 3y - 15.

6. Further Isolation: Add 15 to both sides: 27 = 3y.

7. Final 'y' Value: Divide by 3: y = 9.

8. Finding JL: Now that we have the value of 'y', we can substitute it back into the expression for JL: JL = 17(9) - 15.

9. Calculating JL: Multiply: JL = 153 - 15 = 138.

Through the application of the segment addition postulate and algebraic manipulation, we determined that the length of segment JL is 138 units.

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The reading that separates the highest 11.58% from the rest is 1.22°C.

To find the reading that separates the highest 11.58% from the rest, we need to find the z-score corresponding to the upper 11.58% of the standard normal distribution.

Step 1: Convert the percentile to a z-score using the standard normal distribution table. The upper 11.58% corresponds to a lower percentile of 100% - 11.58% = 88.42%.

Step 2: Look up the z-score corresponding to the 88.42% percentile in the standard normal distribution table. The z-score is approximately 1.22.

Step 3: Use the formula z = (x - μ) / σ to find the reading (x) that corresponds to the z-score.

Rearranging the formula, we have x = μ + z * σ.

Given that the mean (μ) is 0°C and the standard deviation (σ) is 1.00°C, we can substitute these values into the formula.

x = 0 + 1.22 * 1.00

= 1.22°C.

Therefore, the reading that separates the highest 11.58% from the rest is 1.22°C.

The reading that separates the highest 11.58% from the rest is 1.22°C.

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If the base of the exponent in an exponential growth function were 1, the function would become constant, with a fixed value of 1 regardless of the value of x.

In exponential growth functions, the base of the exponent represents the factor by which the function grows at each step. When the base is greater than 1, the function experiences exponential growth, with the values increasing rapidly over time. However, if the base of the exponent were 1, the function would change significantly.

When the base of the exponent is 1, the function becomes constant. This is because any number raised to the power of 1 remains unchanged. Therefore, if the base is 1, the exponential function will have a constant value and will not exhibit any growth or decay.

Mathematically, an exponential function with a base of 1 can be represented as:

f(x) = 1^x

No matter what value of x is used, the result will always be 1. For example, if we substitute different values for x, such as x = 2 or x = -3, we get:

f(2) = 1^2 = 1

f(-3) = 1^(-3) = 1

In both cases, the result is always 1.

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Answer:

arithmetic sequence

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 10 - 19 = 1 - 10 = - 9

This means the sequence is arithmetic

Answer:

419/1000

Step-by-step explanation:

\( \frac{(0.419 \times 1000)}{(1 \times 1000)} = \frac{419}{1000} \)

Answer:

7/12

Step-by-step explanation:

Answer:

3/3

Step-by-step explanation:

x2 minus x1 over y2 minus y1

Answer: The answer is -1!

Answer:

Step-by-step explanation:

Hey! I would love to help, but the image is dark, and there's no numbers. Was this how the teacher gave it to you?

Answer:

$11.12

Step-by-step explanation:

Since the sale is 25% and the shoe was originally priced at $45; you can find the price of the sandal on sale by knowing that 25% means 1/4, so you can just find 1/4 of 45 which is 11.12. 45 * 1/4

Answer:

C. $33.75

Step-by-step explanation:

I took the test

For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

According to the statement

we have given that the by which method we use the different levels of a qualitative independent variable and we have to explain about it.

So, For his purpose, we know that the

A dummy variable is a variable that takes values of 0 and 1, where the values indicate the presence or absence of something.

And in the multiple regression method there are a lot of different variables which are used for a qualitative and for this a variable is used which is called the dummy variables.

By this variables we show the analysis between the given data. it gives the output in the 0 and 1 numbers.

So, For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

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Answer:

The answer should be 1/6 or 1/3

Step-by-step explanation:

1/9 is the probability of roiling the two dice with a sum of 9

It is a branch of mathematics that deals with the occurrence of a random event.

An experiment consists of rolling two fair number cubes.

We need to find the probability of roiling the two dice with a sum of 9

The sample space of rolling two dice is given from the figure.

Among that (3,6), (6,3), (4, 5) and (5,6) makes a sum of nine.

In the total of 36 outputs there are only 4 outputs which has sum of 9.

So the probability of roiling the two dice with a sum of 9 is 4/36

Four divided by thirty six is equal to 1/9

Hence, 1/9 is the probability of roiling the two dice with a sum of 9

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0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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Answer:

the ans. is 52.5 percent