the question is in the screenshot

Answer:

10,560 yards

Step-by-step explanation:

5280 plus 5280 equals 10,560

The probability that a pupil uses neither pool nor gym is 11/70

Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6.

Number of pupil that can use pool and gym = 28

Number of people that can use pool = 48

Number of people that can use gym = 39

Number of people that can use pool only = 48 - 28 which is 20

Number of people that can use gym only = 39 - 28 = 11

Total number of persons that can use either pool, gym or both = 20 + 11 + 28 which is 59

Number of people that cannot use either or both of the facilities = 70 - 59 which is 11.

Probability = required outcome / possible outcome

Required outcome = 11

possible outcome = 70

Probability = 11/70

In conclusion, the probability that a pupil uses neither swimming pool nor gym is 11/70

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The observed value of student's t statistic rounded to the nearest hundredth is 1.72.

The stated data is-

Thus,

Degree of freedom = n -1

Df = 22-1

Df = 21

As, the significance level is 5% then test is right tailed.

So,

Alpha value = 0.05

Now,

For alpha value = 0.05 and degree of freedom = 21.

t- critical value = 1.721 (from the t-statiscts table).

Thus, the observed value of student's t statistic rounded to the nearest hundredth is 1.72.

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Answer:

The answer is D, sqrt(41)in.

Step-by-step explanation:

The question is asking about the hypotenuse L. You can get that by using the Pythagorean Theorem( a^2+B^2=C^2). You can get the bottom length of the triangle by dividing 8 by 2, because the triangle is made from the top point of the pyramid. You can there do 5^2+4^2, which is 41. You then need to take the square root of that, or \(\sqrt{41}\).

Answer:

Hello! Your answer would be, D) \(\sqrt{41} in.\)

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.

In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.

When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.

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Answer:

x=13 y=10 z=3 d) 260

Step-by-step explanation:

vertex angles are congruent so you can set them equal to each other and solve

and then a straight like adds up to 180 so 180-(7(x-3)+5y)= your missing angle and then that angles is congruent to its opposite so 2(5z+15)=60

Train a total of 200 miles each week. 160 miles I bike, 32 miles I run, 8 miles I swim.

What do you mean by Simultaneous linear equations?

A system of simultaneous linear equations is any pair of linear equations or more that have the same unknown variables in common. To solve such a system, one must identify values for the unknown variables that simultaneously satisfy each of the equations. A system of simultaneous linear equations is any pair or group of linear equations where each equation has the same unknown variables. Finding values for the unknown variables that simultaneously satisfy each equation in such a system is the first step in its solution.

according to the question,

you bike five times as far as I run and you run four times as far as iswim. you train a total of 200 miles each week.

let, I swim x miles then I run 4x times and I bike 20x miles.

so, 4x+x+20x=200

by solving linear equations,

we get, x=8

hence,160 miles I bike.

32 miles I run.

8 miles I swim.

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Answer:

Your y-intercept will be -6

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

The y-intercept of a graph is the point on the graph where the line crosses the y-axis (vertical line). In this case, it was -6.

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Answer:

4

Step-by-step explanation:

Each walk-in is $5, so 20 divided by 5 is 4. 4 classes.

To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

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Answer:

Pictures below showing the answer :)

Step-by-step explanation:

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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The statements that are supported by the graph are:

Given that the equation of the function is

f(x) = (x - 2)(x - 6)

From the equation of the graph, we can see that

Minimum = (4, -4)

This means that the vertex is at (4, -4)

The x coordinate of the vertex is the axis of symmetry

So, we have

x = 4

Next, we set the function to 0 to determine the zeros

So, we have

(x - 2)(x - 6) = 0

Solve for x

x = 2 and x = 6

This means that the zeros are at (2, 0) and (6, 0).

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The sample  should consist of  180 students at least in order for the dean take to ensure this is true.

since we are provided a standard deviation of 2.6 hours, we need to find the sample size at most of 0.5 hours. Since we know

E = z∗ σ/√n, where z is the score,σ is the standard deviation and n is the sample size. According to this case, z∗ will be 2.576 since the dean wants 99% confidence.  so the sample size will be

n=(z∗σ /E)^2

   = (2.57* 2.6/0.5)^2

  =  179.43 =  180

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O A subclass of an entity can express a specialisation is the correct statement of Subclasses/Inheritance in ER.

Option (c) O A subclass of an entity can express a specialisation is the correct statement of Subclasses/Inheritance in ER.

Subclasses/Inheritance in ER- The subclasses or inheritance hierarchy depicts the "is-a-kind-of" relationship between the entities.

A superclass is an entity that is general, whereas subclasses are entities that are more specific.

They use the superclass's attributes and operations.

A subclass can have its attributes, which it acquires from its parent entity, as well as attributes of its own. It can also have a relationship of its own, which is in addition to the relationship inherited from its parent entity.

Therefore, option (a) and option (b) are incorrect, and option (d) is also incorrect since a disjoint property of a subclass means an entity cannot be in multiple subclasses.

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Answer:

72

Step-by-step explanation:

X= 4

Step-by-step explanation:

:)

Answer:

21

Step-by-step explanation:

The median is the value separating the higher half of the data from the lower half.

10,11,13,18,19,  21   ,22,25,27,30,32

We see the middle number in this set is 21, so the median is 21

Answer:

1 : 0.75

Step-by-step explanation:

Given the ratio

20 : 15 ← divide both parts by 20

\(\frac{20}{20}\) : \(\frac{15}{20}\)

= 1 : 0.75

Answer:

n=0.75

Step-by-step explanation:

In a triangle, The value of x is, 40°

And, The value of y is, 50°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle is show in figure.

We know that;

In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.

Now, By figure we can formulate;

⇒ x + x + 100 = 180

Solve for x;

⇒ 2x + 100 = 180

⇒ 2x = 180 - 100

⇒ 2x = 80

⇒ x = 40

Thus, The value of x = 40°

And, We get;

⇒ x° + y° + 90° = 180°

⇒ 40 + y + 90 = 180

⇒ y + 130 = 180

⇒ y = 180 - 130

⇒ y = 50°

Thus, The value of y = 50°

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Answer:

15p

You would need to find the prime factors of each term in order to do the GCF and once you do that you should get 15p

Hope this helps:)

Answer:

73/10

Step-by-step explanation:

7 times 10=70+3 which equals 73 over 10. So your answer is 73/10.

This expression gives us a present value of approximately $1,376,500.

To calculate the present value of John Doe's winnings, we need to find the present value of each individual payment and then sum them up.

The formula to calculate the present value of an annuity is:

PV = C * (1 - (1 + r)^(-n)) / r

Where PV is the present value, C is the annual payment, r is the discount rate, and n is the number of periods.

In this case, John Doe will receive $100,000 each year for 30 years, and the discount rate is 6%. Plugging these values into the formula, we get:

PV = $100,000 * (1 - (1 + 0.06)^(-30)) / 0.06

Calculating this expression gives us a present value of approximately $1,376,500.

Therefore, the correct answer is:

c. $1,376,500.

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Standard normal distribution is normal distribution with mean 0, and variance 1. The margin of error for given condition is 0.66 (Option D)

Suppose that we have:

Then the margin of error(MOE) is obtained as

Case 1: Population standard deviation is known

Margin of Error = \(MOE = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\)

Case 2: Population standard deviation is unknown

\(MOE = Z_{\alpha/2}\dfrac{s}{\sqrt{n}}\)

where \(Z_{\alpha/2}\) is critical value of the test statistic at level of significance

For the given case, we've got:

Sample size = n = 35

Sample mean = 50

Sample standard deviation = s = 2 days

\(Z_{\alpha/2}\) = 1.96 (at 95% confidence, thus \(\alpha\) = 100% - 95% = 5% = 0.05)

Thus, margin of error is calculated for the given  case as:

\(MOE = Z_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\\\MOE = 1.96 \times \dfrac{2}{\sqrt{35}} \approx 0.6626 \approx 0.66\)

Thus, the margin of error for given condition is 0.66 (Option D)

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The given statement is as follows:I. The correlation coefficient "r" measures the linear association between two variables X and Y.II.

A coefficient of determination with a value of r2 equal to +1 implies a perfect linear relationship with a positive slope, while a value of r2 equal to –1 results in a perfect linear relationship with a negative slope.III. A correlation coefficient value close to zero will result from data showing a strictly random effect, implying that there is little or no causal relationship.The true statement among the given statement is:I and IIIExplanation:Correlation Coefficient: Correlation coefficient is a statistical measure that reflects the correlation between two variables X and Y. It is also known as Pearson’s Correlation Coefficient.It indicates both the strength and direction of the relationship between two variables.

Correlation coefficient ranges between -1 and +1.The closer the correlation coefficient is to 1, the stronger is the correlation between the two variables. Similarly, the closer the correlation coefficient is to -1, the stronger is the inverse correlation between the two variables.If the correlation coefficient is close to zero, it implies that there is little or no causal relationship.Coefficient of determination: The coefficient of determination, also known as R-squared, explains the proportion of variance in the dependent variable that is predictable from the independent variable. R2 is a statistical measure that measures the proportion of the total variation in Y that is explained by the total variation in X. The value of R2 varies between 0 and 1.If the value of R2 is 1, it indicates that all the data points lie on a straight line with a positive slope.

This implies a perfect linear relationship with a positive slope. Similarly, if the value of R2 is -1, it indicates that all the data points lie on a straight line with a negative slope. This implies a perfect linear relationship with a negative slope. Thus, the correct answer is (b) I and III.

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Step-by-step explanation:

Factor 3n³−12n²−30n

3n³−12n²−30n

=3n(n²−4n−10)

a) There is not enough evidence to conclude that cars get significantly better fuel economy with premium gasoline.

In order to test the belief that premium gasoline provides better fuel economy, a study was conducted using 10 cars from a company fleet. Each car was randomly assigned either regular or premium gasoline, and the mileage for each tankful was recorded. The data was analyzed to determine if there is a significant difference in fuel economy between the two types of gasoline.

To evaluate this, a paired t-test can be used since the same cars were tested with both types of gasoline. The null hypothesis would be that there is no difference in fuel economy between regular and premium gasoline, while the alternative hypothesis would be that there is a significant difference.

The results of the study would be analyzed using the appropriate statistical test, such as a paired t-test, to determine the p-value. If the p-value is less than the chosen significance level (e.g., 0.05), then there would be evidence to reject the null hypothesis and conclude that there is a significant difference in fuel economy.

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Answer:

Is there a picture of it so I can solve

The linear approximation of the function at the indicated point is as follows: F(x,y) = x -5y - 1

The linear approximation of a function is nothing more than estimating the value of the function at a location using a line. When we see a curve (of a function) with a point on it, we recall the idea of the tangent line. If we determine the equation of the tangent line at the given position, the value of the function at any location extremely near to the given point can be estimated using the equation of the tangent line. Since the tangent line is used in this process, the idea is also referred to as the "tangent line approximation" or "linear approximation."

How to solve?

In this case, our goal is to locate the linear approximation of the provided function at the stated location.

We start by replacing the values, then determine the partial derivative with regard to x and finally y.

We now sum these values, having first substituted the x and y values into the differentiated partial equation. The findings are then added up.

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