90 out of 120 students in your grade are girls at your school. What percentage are boys?
Halllllllp!!

a. The correct answer is: There is insufficient evidence to reject H0.

b. The correct answer is: There is insufficient evidence to reject H0.

c. The correct answer is: There is insufficient evidence to reject H0.

d. The correct answer is: There is sufficient evidence to reject H0.

(a). In hypothesis testing, if the p-value is greater than the chosen significance level (α), we fail to reject the null hypothesis H0. In this case, the p-value is 0.1094, which is greater than α = 0.04. Therefore, we do not have enough evidence to reject the null hypothesis that the population mean (μ) is equal to 75.

(b). Similar to the previous situation, the p-value of 0.1094 is greater than the significance level α = 0.09. Hence, we do not have enough evidence to reject the null hypothesis that μ is equal to 75 when the alternative hypothesis Ha states that μ is less than 75.

(c). Once again, the p-value of 0.1094 is greater than the significance level α = 0.09. As a result, we do not have enough evidence to reject the null hypothesis that μ is equal to 75, given that the alternative hypothesis Ha states that μ is greater than 75.

(d). In this scenario, the p-value is 0.1094, which is greater than the significance level α = 0.01. Therefore, we do not have enough evidence to reject the null hypothesis that μ is equal to 75, considering the alternative hypothesis Ha, which states that μ is not equal to 75.

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Answer:

you get a negative answer.

The combined volume of the two cereal boxes is 191 cubic inches.

The volume of the second cereal box can be found by multiplying its length, width, and height:

V = lwh = 5 x 3 x 9 = 135 cubic inches

To find the combined volume of the two cereal boxes, we simply need to add the volumes of the two boxes:

Total volume = Volume of first box + Volume of second box

Total volume = 56 cubic inches + 135 cubic inches

Total volume = 191 cubic inches

Therefore, the combined volume of the two cereal boxes is 191 cubic inches.

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Answer:

x=2

Step-by-step explanation:

-7(1-8x)=105 (multiply out the brackets)

-7+56x=105 (add 7 to both sides)

56x=112 (divide both sides by 56)

x=2

Answer:

x=2

Step-by-step explanation:

-7(1-8x) = 105

Distribute the -7.

-7+56x = 105

Add 7 to both sides of the equation.

56x=112

Divide both sides by 56.

x=2

HTH :)

The rhombus WXYZ is a quadrilateral with four congruent sides. Its diagonals, WX and YZ, intersect at a point O. The measure of angle WOX, also known as angle XOY, is half the measure of the angle subtended by the rhombus at point O. To find this angle, we can use the formula for the angle subtended by the diagonals of a rhombus: 2arctan(d1/d2), where d1 and d2 are the lengths of the diagonals. Since the diagonals are congruent, d1=d2, and the formula simplifies to arctan(1)=45 degrees.

Therefore, the measure of angle WOX is half of 45 degrees, or 22.5 degrees. Similarly, the measure of angle YOZ is also 22.5 degrees. The four angles formed by the intersection of the diagonals are congruent and add up to 360 degrees, so each angle measures 90 degrees.

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The simplified value is \(\frac{7a^{8}+12 }{21a^{5}}\).

What is a mathematical expression?

A mathematical expression is a phrase that contains at least two terms or numbers and one action. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is \(\frac{a^{3}}{3}+\frac{4}{7a^{5}}\).

This can be simplified by cross-multiplying and adding.

\(\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{5}*a^{3}+4*3}{3*7a^{5}} \\=\frac{7a^{8}+12}{21a^{5}}\).

Therefore the simplified value of the given expression is :

\(\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{8}+12 }{21a^{5}}\)

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Answer:

Step-by-step explanation:

(0+4)/2 = 4/2 = 2

(-2-4)/2= -6/2 = -3

(2, -3) midpoint

Answer:

The density of the metal C is 2 g/cm³

Step-by-step explanation:

The parameters of the two metals are;

The density of the Metal A = 2.4 g/cm³

The density of the Metal B = 1.8 g/cm³

The ratio in which their masses are combined to make the metal C= 2:3

The mass of the metal C, m = 60 grams

Let, 'x', represent the mass of the metal A in the 60 grams of the metal C and let 'y' represent the mass of the metal B in the 60 grams of the metal C

Let the ratio of the metals A and B in the metal C = x:y = 2:3

Therefore;

The mass of the metal A in the metal C, x = (2/(3 + 2)) × 60 g = 24 g

The volume of the metal A in the metal C, V₁ = (24 g)/(2.4 g/cm³) = 10 cm³

The mass of the metal B in the metal C, y = (3/(3 + 2)) × 60 g = 36 g

The volume of the metal B in the metal C, V₂ = (36 g)/(1.8 g/cm³) = 20 cm³

The volume of the metal C, V = V₁ + V₂ = 10 cm³ + 20 cm³ = 30 cm³

The density of the metal C = ρ = m/V

ρ = (60 g)/(30 cm³) = 2 g/cm³

The density of the metal C, ρ = 2 g/cm³

Answer:

Step-by-step explanation:

Answers:

=====================================

Explanation:

The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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Answer: 4 times 3 equals 12, and that plus 6 is 18.  18 divided by 5 is not 4, sorry if i interpreted your statement wrong, but that is incorrect, or my brain is melting. Help.

Step-by-step explanation:

Answer:

Then the best way to phrase it would be to jump right into the question without I need your help, because saying so makes it sound as though you have more of an urgent, sensitive, personal problem than a simple question or two (they might be a bit taken aback by the phrase).

However, if you have several questions (let's say more than 2), or if you just want to sound a bit more polite, you could preface the content with a phrase like I was wondering I you might be able to answer a few questions of mine, or, I have a few questions that I was hoping you might be able to help me with.

The monthly cost of the cellular phone plan for using 251 anytime minutes is $20.24. The function to compute the monthly cost for a subscriber is:

Cost(x) = 19.99 + 0.25(x - 250)

where x is the number of anytime minutes used.

(a) If the subscriber uses 115 anytime minutes, then x = 115. Plugging this value into the function, we get:

Cost(115) = 19.99 + 0.25(115 - 250) = $4.99

So the monthly cost of the cellular phone plan for using 115 anytime minutes is $4.99.

(b) If the subscriber uses 280 anytime minutes, then x = 280. Plugging this value into the function, we get:

Cost(280) = 19.99 + 0.25(280 - 250) = $34.99

So the monthly cost of the cellular phone plan for using 280 anytime minutes is $34.99.

(c) If the subscriber uses 251 anytime minutes, then x = 251. Plugging this value into the function, we get:

Cost(251) = 19.99 + 0.25(251 - 250) = $20.24

So the monthly cost of the cellular phone plan for using 251 anytime minutes is $20.24.

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The monthly cost for (a) 115, (b) 280, and (c) 251 anytime minutes is $19.99, $69.99, and $56.49, respectively.

The monthly cost of a cellular phone plan with 250 anytime minutes and $0.25 per additional minute can be calculated using the following function:

C(x) = 19.99 + 0.25(x-250), for x > 250

C(x) = 19.99, for x ≤ 250

To compute the monthly cost for using 115 anytime minutes, we can substitute x = 115 into the function and obtain:

C(115) = 19.99, since 115 ≤ 250.

For 280 anytime minutes, we can substitute x = 280 into the function and obtain:

C(280) = 19.99 + 0.25(280-250) = 19.99 + 0.25(30) = 27.49.

Similarly, for 251 anytime minutes, we can substitute x = 251 into the function and obtain:

C(251) = 19.99 + 0.25(251-250) = 20.24.

Therefore, the monthly cost of the cellular phone plan is $19.99 for 115 anytime minutes, $27.49 for 280 anytime minutes, and $20.24 for 251 anytime minutes.

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Using the plus 4 method, the 95% confidence interval for the difference in proportion of individuals developing a cold after viral exposure between the Echinacea and the placebo is (-0.158, 0.397). Based on this confidence interval, we can conclude that there is no significant difference in the proportion of individuals developing a cold between the Echinacea and the placebo groups.

To determine the 95% confidence interval for the difference in the proportion of individuals developing a cold between the Echinacea and placebo groups, we can use the plus 4 method for small sample sizes.

First, we calculate the proportions of individuals who developed a cold in each group.

In the placebo group, out of 103 subjects, 88 developed a cold, giving a proportion of 88/103 ≈ 0.854.

In the Echinacea group, out of 48 subjects, 44 developed a cold, giving a

proportion of 44/48 ≈ 0.91

Next, we add 2 to the number of successes and 2 to the total number of observations in each group to apply the plus 4 adjustment.

This gives us 90 successes out of 107 observations in the placebo group (0.841) and 46 successes out of 52 observations in the Echinacea group (0.885).

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

\(CI = (p1 - p2) \pm Z \times \sqrt{(p1(1-p1)/n1} + p2(1-p2)/n2)\)

where p1 and p2 are the adjusted proportions, n1 and n2 are the respective sample sizes, and Z is the critical value for a 95% confidence interval (approximately 1.96).

Substituting the values into the formula, we get:

\(CI = (0.841 - 0.885) \pm 1.96 \times \sqrt{((0.841(1-0.841)/107) + (0.885(1-0.885)/52))}\)

Calculating the values within the square root and the overall expression, we can find the lower and upper bounds of the confidence interval.

Interpreting the results, if we repeat this experiment many times and construct 95% confidence intervals, we can expect that approximately 95% of these intervals will contain the true difference in proportions

In this case, if the interval contains 0, it suggests that there is no significant difference between Echinacea and placebo in terms of the proportion of individuals developing a cold after viral exposure. However, if the interval does not include 0, it indicates a significant difference, suggesting that Echinacea may have an effect on reducing the likelihood of developing a cold.

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A frustum is one of two pieces of a double cone divided at the vertex. A double cone is a three-dimensional shape that is created by connecting two cones with their vertices touching.

When the double cone is cut through the vertex, it creates two pieces known as frustums. A frustum has a circular base and a smaller circular top, which are parallel to each other. The height of the frustum is the distance between the two circular bases.

The volume of a frustum can be calculated using the formula V = (1/3)h(a^2 + ab + b^2), where h is the height, a is the radius of the larger base, and b is the radius of the smaller top. Frustums are commonly found in architecture and engineering, such as in the design of buildings and bridges.

A "napped cone" is one of two pieces of a double cone divided at the vertex. When a double cone is bisected through its vertex, it results in two identical, mirror-image napped cones. These geometric shapes have various applications in mathematics, engineering, and design due to their unique properties.

Napped cones share some characteristics with regular cones, such as having a circular base, but their pointed vertex is replaced by a flat plane where the double cone was divided. This creates a shape that is both symmetrical and easy to manipulate for various purposes.

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A boolean expression can have one of the two values, true or false and is often used in if statements.

Given: To identify what is used in if statements that has either of the two values, true or false.

What are boolean expressions?

Boolean expressions are logical statements that can either be true or false.

Boolean expressions are used to compare different values which are of the same domain and to verify if the condition of comparison is true or false.

For example: 4 > 5 , is this statement true? With the help of boolean variables "true" and "false" we can say that 4 > 5 is "false"

NOTE: There are two boolean variables : TRUE and FALSE

The boolean value TRUE is equivalent to 1 in the integer domain.

The boolean value FALSE is equivalent to 0 in the integer domain.

The common operators that are often used in boolean expressions are OR, AND and NOT.

For example: 7 > 6 OR 0 < 90

Now 7 > 6 is TRUE, also 0 < 90 is TRUE

So, TRUE OR TRUE gives TRUE

Hence 7 > 6 OR 0 < 90 is TRUE, the condition is verified.

The "if" statement is a conditional statement in programming which when TRUE performs certain given information and if FALSE it either terminates or performs some other statements that may be defined in the else or the FALSE part.

"if" statements works on boolean values TRUE and FALSE.

It's like IF this is TRUE do this or ELSE do that.

The structure of if statement is:

if <condition>

    //statements [executed if condition is TRUE]

else

    //statements [executed if condition is FALSE]

Hence a boolean expression can have one of the two values, true or false and is often used in if statements

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A Boolean expression can have one of the two values, true or false and is often used in if statements.

We are given a statement about an expression which can have the values as true or false and is mostly used in the if statements.

We need to identify the expression that they are talking about.

We get that, they are talking about the Boolean expression as it is the only expression that has the values as True or False and is often used in the if statements to know whether those statements are correct or not.

Therefore, a Boolean expression can have one of the two values, true or false and is often used in if statements.

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Answer:

The subject 'x' in terms of 'y'

\(x = \sqrt{\frac{y+2}{3} }\)

Step-by-step explanation:

Explanation:-

Given subject in terms of 'x'

 y = 3 x² - 2

Adding '2' on both sides, we get

y + 2 = 3 x² - 2 +2

y+2 =  3 x²

Dividing '3' on both sides, we get

\(x^{2} = \frac{y+2}{3}\)

\(x = \sqrt{\frac{y+2}{3} }\)

TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

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Answer:

y = 5x + 5

Step-by-step explanation:

the slope to be parallel y = 5x + 7 must still be 5. To make the line pass through T, the given point, you plug (-2, -5) into the y= mx + b formula. This becomes( -5 )= 5 (-2) + B, and you solve for b. In this equation, b = 5.

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Answer:

Step-by-step explanation:

Where's the question?

But if the question is to represent the equation on the graph then

Just fix in any random value for x,say x=3...then insert into into your equation y=3/2x-1 y=3/2(3)-1 y will be 3.5 when x is 3 so you get a coordinate like(3,3.5) repeat that for about three more values then plot a line

HOPE THIS HELPS

Answer:

All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.

Step-by-step explanation:

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As a result, the following quadratic function matches this table:

y = (1/2)x² - (3/2)x - 1 A has a positive value, while B has a negative value.

A polynomial function of degree two is a quadratic function. Where a, b, and c are constants, it has the form f(x) = ax² + bx + c. A quadratic function's graph is a parabola that slopes upward if a > 0 and downward if a 0. The vertical line x = -b/2a serves as the axis of symmetry, and the parabola's apex is located at (-b/2a, f(-b/2a)).

A quadratic function's input values are represented by x in your table and its output values by y. This quadratic function's answer is y = (1/2)x2 - (3/2)x - 1. Setting y = 0 and using the quadratic formula to solve for x will get the roots of this quadratic function: x = (-b √(b² - 4ac)) / (2a). replacement of the values of

You illustrated a quadratic function in the table. We can use the method of finite differences to locate the quadratic equation that best fits this table.

The initial deviations are -1, 1, 3, 5, and 7. 2, 2, 2, 2 make up the second difference. We can infer the function's quadratic nature from the fact that the second differences are constant. The quadratic function's standard form formula is: y = ax²+ bx + c.

Any point on the graph can be used to calculate a. Let's employ (0,-1). Adding x=0 and y=-1 to the equation results in:

y = ax²+ bx + c.

-1 = a(0)² + b(0) + c -1 = c

So c = -1.

We must now locate a and b. To generate two equations and find the values of a and b, we can use two points.

. Using (2, 0) and (4,3). These values are substituted into the equation to produce:

0 = a(2)² + b(2) - 1 3 = a(4)² + b(4) - 1

These equations are simplified to give:

4a + 2b = 1 16a + 4b = 4

Calculating a and b results in:

a = 1/2 b = -3/2

As a result, the following quadratic equation matches this table:

y = (1/2)x² - (3/2)x - 1

A has a positive value, while B has a negative value.

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a. The dimensions of the container that minimize the surface area are:

Radius (r) ≈ (10 / (4π\())^(1/3)\) ,  Height (h) ≈ 5 / [(10 / (4π\())^(2/3)]\).

b. These values will result in a minimum surface area for the given volume of 5 m³.

To minimize the surface area of the cylindrical container, we need to find the dimensions (radius and height) that satisfy the given volume of 5 m³. a. Finding the dimensions of the container:

Let's assume the radius of the cylindrical container is denoted by 'r' and the height is denoted by 'h'. We can use the formula for the volume of a cylinder to set up an equation:

Volume = πr²h

Given that the volume is 5 m³, we can write the equation as:

5 = πr²h

To minimize the surface area, we need to find the dimensions that satisfy this equation while minimizing the surface area.

b. Proof using calculus:

To prove that the solution obtained in part a gives a minimum value for the surface area, we can use calculus and optimize the surface area formula.

The surface area (A) of the cylindrical container is given by:

A = 2πr² + 2πrh

To find the minimum value of A, we can take the derivative of A with respect to either 'r' or 'h' and set it equal to zero. Since we have an equation relating r and h from the volume equation, we can use that relationship to eliminate one of the variables. Let's eliminate 'h' in terms of 'r' using the volume equation:

5 = πr²h

h = 5 / (πr²)

Now, substitute this expression for 'h' into the surface area formula:

A = 2πr² + 2πr(5 / (πr²))

  = 2πr² + 10 / r

To find the minimum value of A, take the derivative of A with respect to 'r' and set it equal to zero:

dA/dr = 4πr - 10 / r²

Setting dA/dr = 0:

4πr - 10 / r² = 0

Multiply through by r² to eliminate the denominator:

4πr³ - 10 = 0

4πr³ = 10

r³ = 10 / (4π)

r = (10 / (4π\())^(1/3)\)

Substituting this value of 'r' back into the volume equation to find 'h':

5 = πr²h

5 = π[(10 / (4π))^\((1/3)]²h\)

5 = (10 / (4π\())^(2/3)h\)

h = 5 / [(10 / (4π))^(2/3)]

Therefore, the dimensions of the container that minimize the surface area are:

Radius (r) ≈ (10 / (4π\())^(1/3)\)

Height (h) ≈ 5 / [(10 / (4π\())^(2/3)]\)

These values will result in a minimum surface area for the given volume of 5 m³.

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Answer:

C

Step-by-step explanation:

Answer:

d. legs

Step-by-step explanation:

In the Pythagorean Theorem (a^2 + b^2 = c^2)

a = leg

b = leg

c= hypotenuse

The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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