SUPER URGENT: What is the range of y = sinx in the interval - π ≤ x ≤ 0?
-1 ≤ y ≤ 1
-1 ≤ y ≤ 0
0 ≤ y ≤ 1
y ≤ 1

The scale of measurement used for the independent variable in a research study is determined by the nature of the variable and the research question. The four scales of measurement are nominal, ordinal, interval, and ratio.

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Answer:the ANS to 4 significant figures is 51.92

Step-by-step explanation:u first find the area of the whole chord which is 150 divided by 360 multiplied by the π × 7^2 subtracted from the area of The triangle by doing 1/2×7×7sin150. I hope it helps

Answer:

102.0

Step-by-step explanation:

First find just the area of the shaded minus the triangle 210/360Xπ7²

89.7966...

Then figure out your triangle 1/2(7)(7sin150) 12.25...

add the two together to get the shaded area 89.7966+12.25

102.0cm²

Answer:

it's 56 but I don't see it as a answer

Step-by-step explanation:

before 11 pass, which 26-11= 15 so James was 15 years old and Sam is 3 times which is 45 and 11 years pass on and James is now 26 and Sam should be 56. hope 56 is a answer choice!

In a parallelogram, opposite angles are congruent.

Since angles z and 124° are opposite angles in the parallelogram, they are congruent angles.

Therefore we have:

Symmetric and asymmetric cryptography are both used to secure data, with symmetric algorithms being faster and better suited for bulk data encryption while asymmetric algorithms provide an additional layer of security and are better suited for smaller data sets.

Symmetric cryptographic algorithms use the same key to encrypt and decrypt data, while asymmetric cryptographic algorithms use different keys to encrypt and decrypt data. Symmetric algorithms are generally faster than asymmetric algorithms, making them more suitable for bulk data encryption. Additionally, symmetric algorithms are not vulnerable to man-in-the-middle attacks.

Asymmetric algorithms, on the other hand, are more secure than symmetric algorithms since they require two different keys to encrypt and decrypt data. This makes them more difficult to break, as an attacker would need to obtain both keys. Asymmetric algorithms are also more suitable for smaller amounts of data, such as digital signatures, where the security of the data is more important than speed. However, asymmetric algorithms are vulnerable to man-in-the-middle attacks and other types of attacks that target the keys used to encrypt and decrypt data.

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Answer:

I don't know ask your parents

Step-by-step explanation:

Answer:

y = 25·x shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship

m = 105.25·n shows a proportional relationship

Step-by-step explanation:

An equation that shows a proportional relationship is of the form, y = kx

Where;

k = The constant of proportionality = y/x

Therefore, the equation, y = 25·x shows a proportional relationship

The constant of proportionality = k = y/x = 25

Similarly, the equation m = 105.25·n shows a proportional relationship

The constant of proportionality = k = m/n = 105.25

When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship

The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.

Therefore;

y = 25·x shows a proportional relationship

m = 105.25·n shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship.

Answer:

last option (x-2)(x+1)/3

Step-by-step explanation:

(x^2-4)/(x-7) ÷ (3x+6)/(x^2-6x+7)

(x^2-4)/(x-7) * (x^2-6x+7)/(3x+6)

(x+2)(x-2)/(x-7) * (x-7)(x+1)/3(x+2)

(x-2)/1 * (x+1)/3

(x-2)(x+1)/3

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

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Examining the 80 athletes in the question the following answers are achieved:

a.  the Venn diagram is drawn and attached.

b. The number of athletes

Volleyball only = 16

Tennis only = 21

Hockey only = 18

Tennis and hockey only = 8

only play exactly one game = 55

play two of the game only = 15

play at-least one of the game = 58

This is a pictorial representation of sets

The Venn diagram is drawn from the following information

7 athlete plays all the three games. it represents the 7 in the center of the circle

10 play volleyball and hockey

15 plays tennis and hockey

11 plays tennis and volleyball

36 plays hockey

40 play tennis

30 plays volley ball

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The population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers

The point estimate is 3.25.

The margin of error is 1.78.

The 95% confidence interval for the difference between the population mean ratings for the two sizes of ships is (1.47, 4.73).

The point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers is:

85.15 - 81.90 = 3.25

So the point estimate is 3.25.

The margin of error, we need to calculate the standard error of the difference between the sample means:

\(SE = \sqrt{((s1^2 / n1) + (s2^2 / n2))\)

s1 and s2 are the population standard deviations, n1 and n2 are the sample sizes, and SE is the standard error.

Substituting the values we have:

\(SE = \sqrt{((4.55^2 / 38) + (3.97^2 / 44))} = 0.9088\)

The margin of error is then:

\(ME = 1.96 \times SE = 1.78\)(rounded to two decimal places)

So the margin of error is 1.78.

To find the 95% confidence interval, we can use the formula:

(point estimate) ± (margin of error)

Substituting the values we have:

\(3.25 \± 1.78\)

The lower bound of the interval is:

3.25 - 1.78 = 1.47

The upper bound of the interval is:

3.25 + 1.78 = 4.73

The 95% confidence interval for the difference between the population mean ratings for the two sizes of ships is (1.47, 4.73).

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Answer:

Step-by-step explanation:

(3zⁿ)³ = 27z¹⁸

3³z³ⁿ = 3³z¹⁸

z³ⁿ = z¹⁸

z³ⁿ = z¹⁸

n = 6

Answer:

1) 10

2) 16

Step-by-step explanation:

1) 2x+15=37-2

2x+15=35

2x=35-15

2x=20

2 2

x=10

2)10x-8=9x+8

10x-9x=8+8

x=16

Hope this helps ❤

Answer:

r = 0.8

Step-by-step explanation:

The correlation coefficient, "r", represents the correlation between the independent and dependent variable. The closer "r" is to 1, the better the correlation. Likewise, if "r" is closer to 0, there will be hardly any correlation.

The coefficient of determination, R², is the proportion of the variation in the dependent variable that is predictable from the independent variable, or how well the data fits the regression model.

In this case, since R²=64%=0.64, then r=√(0.64)=0.8

This means that there is a strong correlation between age and height.

Answer: The longest possible length of the shelves =  18 inches

Step-by-step explanation:

Given: Lengths of two boards are  72-inches and 54 inches.

To make as many shelves as he can while using up all the wood we will find the longest possible length of the shelves = HCF ( 72, 54)

72 = 2 x 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

HCF(72,54) = 2 x 3 x 3 = 18

Hence, the longest possible length of the shelves =  18 inches

Answer:

2/3

Step-by-step explanation:

Answer:

Slope = -6

Step-by-step explanation:

the equation for the parabola that passes through (5, -4) and has vertex (-2, 5) is 24 x² + 5 y + 96 x + 71 = 0.

The general equation of a parabola is given by:

y = a (x – h)² + k

where (h, k) is the vertex of the parabola.

Now, we are given the vertex of the parabola as:

(- 2, 5)

So, substituting it, we get that:'

y = a (x + 2)² + 5

y = a x² + 4 a + 4 a x + 5

a x² + 4 a + 4 a x + 5 - y = 0

Now, the point (5, - 4) lies on the parabola. So, we get that:

a (25) + 4 (5) + 4 a (5) - (-4) = 0

25 a + 20 - 20 a + 4 = 0

5 a = - 24

a = - 24 / 5

Put in the equation, we get that:

y = (- 24 / 5) x² + 4 (- 24 / 5) + 4 (- 24 / 5) x + 5

5 y = - 24 x² - 96 - 96 x + 25

24 x² + 5 y + 96 x + 71 = 0

Therefore, the equation for the parabola that passes through (5, -4) and has vertex (-2, 5) is 24 x² + 5 y + 96 x + 71 = 0.

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Using proportions, it is found that you have to drink 9 beers to be equally full.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Your drink is 1/3 less filling, hence you have to drink 3 times the amount I drink to be equally full. I drink 3 beers, hence the number you drink is given as follows:

N = 3 x 3 = 9 beers.

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The characteristic equation is \($2r^2-7r+3=0$\), which can be factored as \($(2r-1)(r-3)=0$\). Hence, the roots are \($r_1=\frac{1}{2}$\) and\($r_2=3$\), and the general solution is given by

\($$y(x)=c_1 e^{r_1 x}+c_2 e^{r_2 x}=c_1 e^{\frac{1}{2} x}+c_2 e^{3 x} .$$\)

Taking the first derivative of \(\mathrm{y}(\mathrm{x})\), we have \($y^{\prime}(x)=\frac{1}{2} c_1 e^{\frac{1}{2} x}+3 c_2 e^{3 x}$\).

Taking the second derivative of\(\mathrm{y}(\mathrm{x})\), we have \($y^{\prime \prime}(x)=\frac{1}{4} c_1 e^{\frac{1}{2} x}+9 c_2 e^{3 x}$\).

Substituting these expressions into the differential equation \(2 y^{\prime \prime}-7 y^{\prime}+3 y=0\), we obtain \($\left(\frac{1}{2} c_1 e^{\frac{1}{2} x}+27 c_2 e^{3 x}\right)-7\left(\frac{1}{2} c_1 e^{\frac{1}{2} x}+3 c_2 e^{3 x}\right)+3\left(c_1 e^{\frac{1}{2} x}+c_2 e^{3 x}\right)=0$\), which simplifies to\($-\frac{1}{2} c_1 e^{\frac{1}{2} x}-3 c_2 e^{3 x}=0$\).

We can solve for\(c_2\) in terms of \(c_{1}\) by dividing both sides by \(-3 \mathrm{e}^{\wedge}\{3 \mathrm{x}\} : c_2=\) \($-\frac{1}{6} c_1 e^{-\frac{7}{2} x}$\)

Using the initial conditions \(\mathrm{y}(0)=5\) and \(y^{\prime}(0)=10\), we have \($c_1+c_2=5, \quad \frac{1}{2} c_1+$\) \($3 c_2=10$\)

Substituting the expression for \(C_2\) in terms of \(c_1\), we obtain \($c_1-\frac{1}{6} c_1=$\) 5

Solving for \(c_1\) and \(c_2\), we get \($c_1=-\frac{36}{11}, \quad c_2=\frac{61}{66}$\).

Therefore, the solution to the initial-value problem is \($y(x)=-\frac{36}{11} e^{\frac{1}{2} x}+\frac{61}{66} e^{3 x}$\).

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Answer:

x = 17

Step-by-step explanation:

The triangle is a 45-45-90 triangle. Also, you can take all of the angles of a triangle and set it equal to 180 like this:

(x + 17) + (4x - 34) + (6x + 10) = 180

x = 17

Jasmijn will charge a total of 44 times the amount of the individual services she provides: nail clipping, washing, and hair cutting.

Jasmijn will charge a total of 44 times the amount of the individual services she provides: nail clipping (n), washing (ww), and hair cutting (hh). To calculate the total amount that Jasmijn will charge for grooming all 44 dogs, we can use any of the expressions described above. For example, using the first expression, we can multiply 44 by the cost of nail clipping (n) plus the cost of washing (ww) plus the cost of hair cutting (hh). This gives us the expression 44n + 44ww + 44hh. We can then substitute in the actual values for n, ww, and hh to get the total amount that Jasmijn will charge for grooming all 44 dogs.

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1. The given values, we have: n(AC ∩ B ∩ CC) = 35.

2. n(A' ∩ B ∩ C') = 0.

To answer the first question, we can use the inclusion-exclusion principle:

n(A ∩ B) = n(B) - n(B ∩ AC)         (1)

n(B ∩ AC) = n(A ∩ B ∩ C) + n(A ∩ B ∩ CC)       (2)

n(AC ∩ B ∩ C) = n(A ∩ B ∩ C)        (3)

Using equation (2) in equation (1), we get:

n(A ∩ B) = n(B) - (n(A ∩ B ∩ C) + n(A ∩ B ∩ CC))

Substituting the given values, we have:

n(A ∩ B) = 380 - (115 + 135) = 130

Now, to find n(AC ∩ B ∩ CC), we can use a similar approach:

n(B ∩ CC) = n(B) - n(B ∩ C)         (4)

n(B ∩ C) = n(A ∩ B ∩ C) + n(AC ∩ B ∩ C)       (5)

Substituting the given values, we have:

n(B ∩ C) = 115 + 95 = 210

Using equation (5) in equation (4), we get:

n(B ∩ CC) = 380 - 210 = 170

Finally, we can use the inclusion-exclusion principle again to find n(AC ∩ B ∩ CC):

n(AC ∩ B) = n(B) - n(A ∩ B)

n(AC ∩ B ∩ CC) = n(B ∩ CC) - n(A ∩ B ∩ CC)

Substituting the values we previously found, we have:

n(AC ∩ B ∩ CC) = 170 - 135 = 35

Therefore, n(AC ∩ B ∩ CC) = 35.

To answer the second question, we can use a similar approach:

n(B ∩ C) = n(A ∩ B ∩ C) + n(AC ∩ B ∩ C)       (6)

n(AC ∩ B ∩ C) = 95        (7)

Using equation (7) in equation (6), we get:

n(B ∩ C) = n(A ∩ B ∩ C) + 95

Substituting the given values, we have:

210 = 115 + 95 + n(A ∩ B ∩ CC)

Solving for n(A ∩ B ∩ CC), we get:

n(A ∩ B ∩ CC) = 210 - 115 - 95 = 0

Therefore, n(A' ∩ B ∩ C') = 0.

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Step-by-step explanation:

altitude here is represent by height ok in this case...

if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...

and the information from the question just sun it into the tan formula...this is trigo...

then u add the value to get the total distance..

the answer is 13.87km

hope u understand...

Answer: Your answer is correct

Step-by-step explanation: The last answer is incorrect because the line has a positive slope and shows a positive association.

The consideration paid by Breakspear Co for the investment in Fleet Co was £570,000.

The consideration paid for an investment in a company includes the fair value of the equity shares purchased and any additional amounts paid for goodwill. In this case, Breakspear Co purchased 600,000 voting equity shares of Fleet Co, and the value of the non-controlling interest in Fleet Co was £150,000. The consideration paid for the investment is calculated by adding the value of the non-controlling interest to the goodwill arising on acquisition. Given that the goodwill arising on acquisition is £70,000, the consideration paid can be calculated as follows:

Consideration paid = Value of non-controlling interest + Goodwill

Consideration paid = £150,000 + £70,000

Consideration paid = £220,000

Therefore, the consideration paid by Breakspear Co for the investment in Fleet Co is £220,000.

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For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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Answer:

n < 2 (solution is graphed below steps)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 2 from both sides.

Step 3: Divide both sides by 2.

Therefore, n < 2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren