Check all that are inequalities.

-3 = y

t > 0

-4. 3 < a

g = 5 and one-half

k less-than Negative StartFraction 5 Over 7 EndFraction

x = 1



Anwer: B C E

The left and right critical values for the confidence interval of the ratio of population variances with 95% level of confidence and given sample statistics are 0.3568 and 2.9156, respectively, rounded to four decimal places.

To find the critical values, we need to use the distribution with degrees of freedom (df1, df2) = (n1-1, n2-1), where n1 and n2 are the sample sizes and df1 and df2 are the corresponding degrees of freedom. We can then use a -table or calculator to find the critical values. For a 95% level of confidence, the alpha level is 0.05, and we need to find the values of  that correspond to a cumulative probability of 0.025 (left critical value) and 0.975 (right critical value).

Using the given sample statistics, we have df1 = 14 and df2 = 18, and we can calculate the -value as  = s1^2/s2^2 = 74.923/44.864 = 1.6693. Using a -table or calculator, we can find that the left and right critical values are 0.3568 and 2.9156, respectively, rounded to four decimal places. These critical values are used to construct the confidence interval for the ratio of population variances.

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The area of the composite shape in this problem is given as follows:

22 square units.

The figure in the context of this problem is a composite figure, hence we obtain the area of the figure adding the areas of all the parts of the figure.

The figure for this problem is composed as follows:

Hence the area of the figure is given as follows:

A = 3 x 4 + 0.5 x 5 x 4

A = 22 square units.

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The circumference of the bottom edge of the hat is approximately 21.98 inches.

To find the circumference of the bottom edge of the cone-shaped hat, we can use the formula:

Circumference = 2πr

Where r is the radius of the circle at the bottom of the cone and π is a mathematical constant approximately equal to 3.14.

Given that the radius of the bottom of the hat is 3 ½ inches, we can substitute this value into the formula:

Circumference = 2π(3.5)

Circumference = 2(3.14)(3.5)

Circumference = 22.0

So the circumference of the bottom edge of the hat is 22 inches.

This is a long answer as it includes the formula and the step-by-step calculations. Additionally, the answer includes the requested term "150".
To find the circumference of the bottom edge of the cone-shaped hat with a radius of 3 ½ inches, you need to use the formula:

Circumference = 2πr

where r is the radius, and π (pi) is approximately 3.14. In this case, r = 3 ½ inches.

Circumference = 2 × 3.14 × 3.5
Circumference ≈ 21.98 inches

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The relative speed and the direction of the women on the surface of the water is given by 23.09mi/h and 4.97° west to north.

As given in the question,

Women walks on the deck of ship to the west 2mi/h

Ship moves towards north 23mi/h

Velocity vectors forms a right angled triangle.

Hypotenuse of the triangle of the velocity vector represents woman's speed relative to the given surface of water.

let 'x' be the relative speed

Apply Pythagoras theorem.

x = √(2² +23²)

   = √533

    ≈ 23.09mi/h

Given velocity vectors are

Adjacent side is the movement towards west = 2 mi/h

Opposite side is movement towards north = 23mi/h

Direction of the women given by:

tanβ = Opposite side/Adjacent side

⇒tanβ = (2/23)

⇒β = tan⁻¹( 2/23)

⇒β = 4.97°

Therefore, the relative speed of the women to the given surface of the water is equal to 23.09mi/h and its direction is 4.97° west to north.

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Answer:

It will take her 11 weeks to save for the bike

Step-by-step explanation:

261 -107 = 154

154 /14=11

Answer:

5

Step-by-step explanation:

given that x and y are proportional, they can be expressed as y = rx, where r is the proportionality constant. Thus, we can solve for r by doing y/x in any given point.

\(\frac{8}{1.6} = \frac{15}{3} = \frac{22}{4.4} = 5\)

The minimum value of the function over the given domain is -5, and the maximum value is -4. So the correct answer is "minimum value = -5; maximum value = -4".

What is the value of dunction?

The given function is d(x) = ∛x, and the domain of x is {-125 <= x <= -64}.

To find the minimum and maximum values of the function over this domain, we can evaluate the function at the endpoints of the domain:

At x = -125, d(x) = ∛(-125) = -5

At x = -64, d(x) = ∛(-64) = -4

Therefore, the minimum value of the function over the given domain is -5, and the maximum value is -4.

So the correct answer is "minimum value = -5; maximum value = -4".

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Complete question is: The minimum value of the function over the given domain d(x) =∛x, given {x/ x ∈ R, -125<= x <= -64} is -5, and the maximum value is -4. So the correct answer is "minimum value = -5; maximum value = -4".

Answer:

x = 53°

Step-by-step explanation:

Angles on straight line sum to 180°:

⇒ m∠ABD + 130° = 180°

⇒ m∠ABD = 50°

Interior angles of a triangle sum to 180°:

⇒ m∠ABD + m∠BDA+ m∠DAB = 180°

⇒ 50° + m∠BDA + 26° = 180°

⇒ m∠BDA + 76° = 180°

⇒ m∠BDA = 104°

Angles on straight line sum to 180°:

⇒ m∠BDA + m∠CDA = 180°

⇒ 104° + m∠CDA = 180°

⇒ m∠CDA = 76°

Interior angles of a triangle sum to 180°:

⇒ m∠CDA+ m∠DAC+ m∠ACD = 180°

⇒ 76°+ x + 51° = 180°

⇒ x + 127° = 180°

⇒ x = 53°

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

Step-by-step explanation:

let the other point be (x,y)

then

\(2=\frac{0+x}{2} \\x=4\\2=\frac{-2+y}{2} \\y-2=4\\y=4+2=6\\so ~other ~end ~is ~ (4,6)\)

No, 9 12 15 is not a right triangle because it does not satisfy the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle must equal the square of the longest side.

No, 9 12 15 is not a right triangle because it does not satisfy the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle must equal the square of the longest side. The Pythagorean theorem states that the sum of the squares of the two shorter sides of a right triangle must equal the square of the longest side. In the case of 9 12 15, the square of the longest side is 225 and the sum of the squares of the two shorter sides is 81 + 144 = 225. Since the two values do not match, 9 12 15 is not a right triangle. Furthermore, the angles of a right triangle must measure 90°, and since the angles of 9 12 15 cannot be determined from the given information, it is not possible to determine whether it is a right triangle.

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Using the concept of percentages the total earning of Cara can be found to be $4200.

Percentage is a number expressed as a fraction of 100. The % sign means to divide the number by 100.

Cara's earning = commission + basic salary

basic salary = $1800 (this is constant)

commission = 6% of $40000

= (6/100)*40000

= $2400

Cara's earning = 1800 + 2400

Hence, her earning is $4200

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given points

STEP 2: Plot these points

STEP 3: Get the new points from the given function

STEP 4: Plot these new points also

Hence, the type of mapping here is One-to-One

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Let pi be pipe 1 and pi2 be pipe 2

pi = 1 / 1

pi2 = 1 / 2

together = 1/1 + 1/2 ;

3/2 time ; 2/3 hour.

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Problem-solving is the act of defining a problem; figuring out the motive of the problem; identifying, prioritizing, and deciding on alternatives for a solution; and implementing an answer.

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Therefore, we have approximately 66.7 years until we need to find another food source.

Let's do a double-check. The population of mice should be decreasing. As time increases on your chart above, is the population of mice getting smaller? If so, then continue. If not, you forgot what decrease means when you wrote your Mouse Population Function. Fix your mistakes; then continue.

Plot the points in the Hoo Ville Population Graph and connect them with a smooth line. Label this line: "MICE.

The population of mice must be greater than the population of owls in order to feed every owl. Approximate how much time you have until you will need to find another food source using either the charts or the graph.

years

When the populations of owls and mice are equal, approximately how many of each animal will there be?

The mouse population function can be represented by the equation:

\(P(t) = 750,000 * 0.98^t\)

where t is the number of years.

Using this equation, we can find the population of mice in Hoo Ville for different years as follows:

\(After 10 years: P (10) = 750,000 * 0.98^{10} = 569,782\)

\(After 20 years: P (20) = 750,000 * 0.98^{20} = 429,181\)

\(After 40 years: P(40) = 750,000 * 0.98^{40} = 205,791\)

\(After 50 years: P(50) = 750,000 * 0.98^{50}= 131,823\)

\(After 75 years: P(75) = 750,000 * 0.98^{75} = 26,427\)

\(After 100 years: P(100) = 750,000 * 0.98^{100}= 5,305\)

As we can see from the above values, the population of mice in Hoo Ville is decreasing over time.

To plot the Hoo Ville Population Graph, we can use the above values as follows:

\(Year 0: Population = 750,000\)

\(Year 10: Population = 569,782\)

\(Year 20: Population = 429,181\)

\(Year 40: Population = 205,791\)

\(Year 50: Population = 131,823\)

\(Year 75: Population = 26,427\)

\(Year 100: Population = 5,305\)

We can then plot these points on a graph and connect them with a smooth line, labeling the line as "MICE."

To determine how much time, we have until we need to find another food source, we need to compare the populations of owls and mice. If we assume that the owl population is constant, we can use the above equation for the mouse population to find the time t when P(t) = O, where O is the owl population. Solving for t, we get:

\(t = log(O/750,000) / log (0.98)\)

For example, if there are 100,000 owls in Hoo Ville, then we have:

\(t = log(100,000/750,000) / log(0.98) = 66.7 years\)

Therefore, we have approximately 66.7 years until we need to find another food source.

When the populations of owls and mice are equal, there will be approximately 350,000 of each animal, assuming that the owl population remains constant. This can be found by setting P(t) = O and solving for P(t) and O simultaneously

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Answer:

$522.60

Step-by-step explanation:

               pencils:  $4.10 * 6             ===> $24.60

                  pens:  $6.50 * 12           ===> $78

notebook paper:  $105 * 4              ===> $420

pencils + pens + notebook paper = total cost

24.60 + 78 + 420 = 522.60

\(\underline{\underline{\large\bf{Solution:-}}}\\\)

\(\leadsto\)Let us assume entry fee for child be x

\(\leadsto\)Let us assume entry fee for adult be y

\(\\\)

\(\longrightarrow\)Since Entry fees for 2 children and 1 adult is $90 an equation for entry fees will be formed as -

\(\begin{gathered}\\\implies\quad \sf 2\times x + 1 \times y = 90 \\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 2 x + y = 90 \\\end{gathered} \_\_\_\_\_(1) \)

\(\longrightarrow\)Similarly, Entry fees for 3 children and 2 adult is $155 , so an equation for entry fees will be formed as -

\(\begin{gathered}\\\implies\quad \sf 3\times x + 2\times y = 155 \\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 3x + 2y = 155 \\\end{gathered} \_\_\_\_\_(2) \)

Multiplying eq (1) by 2 it will be -

\(\begin{gathered}\\\implies\quad \sf 4x + 2y = 180\\\end{gathered}\_\_\_\_\_(3) \)

Subtracting eq(2) from eq(3) -

\(\begin{gathered}\\\implies\quad \sf 4x+2y - (3x+2y) = 180-155\\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 4x + 2y - 3x - 2y = 35\\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf 4x - 3x +2y- 2y = 35\\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \bf x = 35\\\end{gathered} \)

Thus , entry fee for a child at the amusement park = $ 35

Answer:

The first graph

Step-by-step explanation:

the first graph crosses through -2 on the x-axis and 4 on the y-axis

The required graph that shows an x-intercept of -2 and a y-intercept of 4 is graph A. Option A is correct.

In the equation intercept is the value of the linear function where either of the variables is zero.

Here,
X intercept is the value of the line where y ordinate is zero, from observation it is found that graph A has x intercept of -2 and y-intercept of 4.

Thus, the required graph that shows an x-intercept of -2 and a y-intercept of 4 is graph A. Option A is correct.

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Answer:

cosθ= \( \frac{ \sqrt{15} }{8} \)

Step-by-step explanation:

Please see attached picture for full solution.

In the 4th quadrant, the cosine of an angle is positive.

The opposite side takes the negative sign in -⅞ since it is below the x-axis. Likewise, we reject \(x = - \sqrt{15} \) since x lies on the right side of the y axis.

The p-value is the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution when running a t-test with equal variances in Excel.

When running a t-test with the assumption of equal variances in Excel, the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution is the p-value.

In Excel, the p-value is calculated using the T.TEST function, which returns the probability associated with a Student's t-test. The function requires the input of two sets of data for the two samples being compared. By comparing the calculated t-value to the t-distribution, the function determines the probability (p-value) of observing such extreme differences between the means of the two samples under the null hypothesis.

The p-value represents the probability of obtaining a t-value as extreme as the one observed, assuming the null hypothesis is true (i.e., there is no significant difference between the means of the two samples). If the p-value is smaller than a chosen significance level (e.g., 0.05), it indicates that the observed difference is statistically significant, and we reject the null hypothesis in favor of an alternative hypothesis.

In summary, the p-value is the statistic that displays the area cutoff by the combined negative and positive values of the t-distribution when running a t-test with equal variances in Excel.

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Answer:

-4 is the correct answer

Answer:

y=18

Step-by-step explanation:

equation:y=3x -7

x=7 then y =?

substitute the vale of x in the equation

y=3x-7

y=3*7-7

y=21-7

y=18

therefore the value of y corresponds to 7 is 18.

Answer:

x= 11.25

Step-by-step explanation:

cross multiply 9 by 5 divided by 4 and that would give you x

Answer:

46, 55

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

The express in the form of a + bi would be 0 + 5i.

Complex numbers are those expressed as a + ib, where a, b are real numbers and 'i' is a fictitious number called a "iota." i is equal to  (√-1). A pair of real and imaginary numbers combined in the form a + bi.

When a and b are real numbers, a complex number is one with the formula a + bi. The complex number has two parts: real component (a) and imaginary part (b). If both the real and imaginary components of two complex numbers are identical, only then are the two complex numbers equal.

Let the given expression be \($\sqrt{-25}$$\).

We have to evaluate the expression.

\($$\begin{aligned}\sqrt{-25} & =\sqrt{-1 \cdot 25} \\& =\sqrt{-1} \sqrt{25} \\& =i(5) \\& =5 i\end{aligned}$$\)

The express in the form of a + bi = 0 + 5i.

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The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

The end behavior of a function f tells us that the way that the graph function behaves at the "ends" of the x-axis.

Note that the end behavior of a function tells the trend of the graph and in this graph, f(x) -----> +∞ as x----> -∞  (as the value of x decreases the value of f(x) increases) and  f(x) -----> -∞ as x----> +∞ (as the value of x increases the value of f(x) decreases).

Therefore, The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.

See full question below

What is the end behavior of the graph of f(x) = -0.25x2 - 2x + 1?

A) As x increases, f(x) increases. As x decreases, f(x) decreases.

B) As x increases, f(x) decreases. As x decreases, f(x) decreases.

C) As x increases, f(x) increases. As x decreases, f(x) increases.

D) As x increases, f(x) decreases. As x decreases, f(x) increases

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The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Answer:

The volume of her cube is 15.625cm^3

Step-by-step explanation:

The formula V = s³, where s represents the side length of the cube.

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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Caroline, the manager of the financial statement review job, should disclose the violation in accordance with policy to the appropriate person in her firm (Option C) as per the AICPA interpretation, Breach of an Independence Interpretation when she finds out that Don violated the independence rules by not disclosing that his sister works in a key position at BAM.

Becker & Smith is a financial audit firm that works with many businesses and enterprises to audit and report on their financial statements and reports. Caroline is the manager on the job of Becker & Smith performing a financial statement review for BAM Markets (BAM).

The independence rule states that auditors must be unbiased and independent of the company they are auditing. According to the rule, auditors must not have any direct or indirect interests in the client, as this could cause bias or a conflict of interest that would undermine their objectivity. The independence rule is important in ensuring the accuracy and reliability of audit reports as well as in promoting trust and confidence in the audit process.

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