tina completes a 26 mile marathon in 150 minutes, what is her speed in mph

Local maximum: (-6, 8)

Local maximum: (6, 3)

Local minimum: (0, -2)

Local minimum: (9, 2)

Increasing from: n ∈ (-∞, -6) ∪ (0, 6) ∪ (9, ∞)

Decreasing from: n ∈ (-6, 0) ∪ (6, 9)

The maximum and minimum of a function, sometimes referred to as the extremum in mathematical analysis, are its biggest and lowest values, respectively, either on the whole domain or within a specified range. A maximum within a constrained domain, particularly a point on a function whose value exceeds the values of every other point in its vicinity. A point on a graph (or its related function) with a value that is lower than all other points close to it.

A real-world problem scenario can be solved by using the local maximum and minimum to get the best equational solution. It is possible to calculate the input values for which these expressions have a maximum or minimum output by using the local maximum and minimum.

Local maximum: (-6, 8)

Local maximum: (6, 3)

Local minimum: (0, -2)

Local minimum: (9, 2)

Increasing from: n ∈ (-∞, -6) ∪ (0, 6) ∪ (9, ∞)

Decreasing from: n ∈ (-6, 0) ∪ (6, 9)

To know more about local maximum refer to:

https://brainly.com/question/29273762

#SPJ1

Answer:

The number of times the coin landed on heads is 32 - 8 = 24 since there were 32 flips in total and 8 of them resulted in tails.

The ratio of heads outcomes to tails outcomes can be expressed as 24:8. To simplify this ratio, we can divide both the numerator and denominator by their greatest common factor, which is 8.

So, 24/8 = 3 and 8/8 = 1. Therefore, the ratio of heads outcomes to tails outcomes in simplified form is 3:1.

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

Learn more about probability here:

https://brainly.com/question/23417919

#SPJ8

The shape would you expect to have more lines of symmetry is  a regular octagon.

Regular octagon:

A regular octagon has 8 lines of symmetry as it has 8 sides.

Every regular polygon has as many lines of symmetry as the number of sides.

lines of symmetry = 8

Irregular decagon:

If a decagon is not a regular decagon, meaning its sides do not all have equal length, then the number of lines of symmetry varies.

we cannot decide lines of symmetry here because it depends on the length and angles of sides.

Therefore the shape would you expect to have more lines of symmetry is  a regular octagon.

Learn more about the regular octagon here:

https://brainly.com/question/16160137

#SPJ1

Answer:

8x+15

Step-by-step explanation:

f(x)=10+2x

g(x)=6x+5

f+g(x)= f(x) + g(x) = 10+2x+6x+5 = 8x+15

The expected value of the random variable D is 6.. This gives us the following equation :E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6)

The expected value of the random variable D, E[D], can be calculated using the following formula :E[D] = ΣD P(D) Where ΣD is the sum of all possible values of D and P(D) is the probability of each of those values. In this case, the possible values of D are 0, 1, 2, 3, 4, 5. The probability of each of these values is the same, since each has an equal chance of being rolled on the dice. To calculate the expected value, we must multiply each value of D with its probability, and then sum all of these products. This gives us the following equation:E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) .E[D] = 36/6 = 6.Therefore, the expected value of the random variable D is 6.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

Answer:

x=30 degree is the answer

Answer:34.2

Step-by-step explanation: I just did it in delta math

Answer:

Step-by-step explanation:

If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

A relation is a function if it has only One y-value for each x-value.

Composite functions are when the output of one function is used as the input of another.

If f(x)=x²+4

Then we have to prove f⁻¹of(x)=f⁻¹(f(x)

Let us consider fof⁻¹(x)

f(f⁻¹(x))

x

So (fof⁻¹(x))=x

Now f⁻¹of(x)=f⁻¹(f(x)

=x

Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ2

Answer:

5

Step-by-step explanation:

First, find the equation of the line:

put it in the form y = mx + b where m is the slope and b is the y-intercept

You already have m = 2, so y = 2x + b.

Then, since you know (1, 3) is a solution so you can plug x = 1 and y = 3 into the equation to find out what b is.

3 = 2 * 1 + b

3 = 2 + b

1 = b

This means the equation of the line is y = 2x + 1.

Then, since you're trying to find out what y is when x = 2, you can plug in x = 2 into the equation:

y = 2 * 2 + 1

y = 4 + 1

y = 5

5 is the answer

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

Volume of the container = 10 * 15 * 20 = 3000 in³

The volume of the cylinder is:

Volume of cylinder = π * radius² * height = π * 2² * 5 = 62.83 in³

Number of cups that can be placed in container = 3000 in³ / 62.83 in³ = 47.74

The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups

Find out more on volume at: https://brainly.com/question/1972490

Line with slope\($\mathrm{m}=\frac{3}{2}$\) and passing through \($(13,-8): \quad y=\frac{3}{2} x-\frac{55}{2}$\).

What is Line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" may also be used to describe a line segment in daily life that contains two locations that serve as its endpoints.

Compute the line equation\($\mathbf{y}=\mathbf{m x}+\mathbf{b}$\) for slope \($m=\frac{3}{2}$\) and passing through (13,-8)

Compute the y intercept:\($\quad b=-\frac{55}{2}$\)

Construct the line equation y=m x+b where \(m=\frac{3}{2}$ and $b=-\frac{55}{2}$\)

\(y=\frac{3}{2} x-\frac{55}{2}$$\)

To learn more about line equation visit:https://brainly.com/question/21511618

#SPJ1

Answer: 1 1/12

CAN YOU MARK ME BRANLIEST:))

Step-by-step explanation:

Find the LCD of 5/6 and 1/4 and rewrite to solve with the equivalent fractions.

LCD = 12

10/12 +3/12= 13/12

simplify the fraction part 13/12.

13/12= 1 1/12

The value of solution in mixed fraction is, 1 1/12.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The expression is,

⇒ 5/6 + 1/4

Now, Simplify the expression as;

⇒ 5/6 + 1/4

Take LCM of {6, 4} = 12

⇒ 10/12 + 3/12

⇒ (10 + 3) / 12

⇒ 13 / 12

⇒ 1 1/12

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

Answer:

y = 5

Step-by-step explanation:

Because of the perpendicular bisector, we know that WZ is congruent to WX. Therfore, we can set their equations as equal to eachother and solve for y.

The length of the wagon is 25 inches and the width of the wagon is 15 inches.

Wagon is a type of vehicle composed of a chassis, four wheels, and an open top. It is commonly used in agriculture and transportation. Wagons are typically pulled by horses, but they can also be pulled by other animals such as oxen or mules.

Let the length of the wagon be x inches.
Then the width of the wagon is 10 inches less than the length, or x - 10 inches.
We can express the perimeter of the wagon as 2(x) + 2(x - 10), or 2x + 2x - 20, or 4x - 20.
Since the perimeter of the wagon is 80 inches, we can set 4x - 20 = 80.
By solving this equation, we can find that x = 25.
Therefore, the length of the wagon is 25 inches and the width of the wagon is 15 inches.

To learn more about wagon
https://brainly.com/question/30220517
#SPJ1

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Answer:

92052.73599

Step-by-step explanation:450,137,879 divded by 4,890 you'll get 4,890

Answer:

benches 3 and lamps 2 with 2 left over

Hope i helped! :D

Step-by-step explanation:

By using Percentage , Profit distributed to Charity A is £ 624 and Charity B is £ 336

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:

Total ticket sold = 800

Cost of each ticket is £ 2

Total fund raised (raw) = 2 * 800 = £1600

4% of the ticket won a prize of £20 each

so total number of tickets winning a prize = 4 % of 800 = 32

Total prize money distributed = 32 * 20 = £ 640

Total amount to distribute to charity = 1600 - 640 = £ 960

Total profit that goes to Charity A is = 65 % of 960 = £624

And rest to charity B is = £ 336

To learn more about Percentage refer to :

https://brainly.com/question/608939

#SPJ1

Answer:

The total number of registered doctors is 202,920 rounded.

Step-by-step explanation:

Solve for (x) in this equation: 27.4/100 = 55,600/(x)

You will get the following equation: (x)= (100*55,600) / (27.4) which equals 202,919.708 rounded to 202,920

To double check, you can see that 27.4% of the total given (202,920) equals the 55,600.

13.13.13.13.13 in exponential form is 13^5

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

Read more about exponential form at:

https://brainly.com/question/2456547

#SPJ1

The holdout method is a common approach to assess the performance of a model on new, unseen data.

Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. In simple linear regression, the relationship is modeled using a straight line, while in multiple linear regression, the relationship is modeled using a hyperplane in higher dimensions. Linear regression models are widely used in various fields, including finance, economics, social sciences, and engineering, to analyze and predict the behavior of a dependent variable based on one or more independent variables. The basic idea behind linear regression is to find the best-fitting line or hyperplane that minimizes the sum of the squared differences between the predicted values and the actual values of the dependent variable. This best-fitting line or hyperplane is called the regression line or regression hyperplane.

Here,

The basic idea is to split the available data into two parts: a training set and a validation set. The training set is used to fit the model, while the validation set is used to evaluate its performance. The holdout method can help us estimate how well the model will generalize to new data.

To compare the predictability of two linear regression models using the holdout method, we would follow these steps:

Split the data into a training set and a validation set. In this case, we would use the first 30 observations for training and the remaining 10 observations for validation.

Fit the first linear regression model using the training data. This model uses the variables x and d as predictors.

Fit the second linear regression model using the training data. This model extends the first model by including the interaction variable xd as a predictor.

Predict the response variable y for each observation in the validation set using both models.

Compare the predicted values to the actual values of y in the validation set. We can use metrics such as mean squared error (MSE) or R-squared to assess the performance of each model.

Choose the model that performs better on the validation set. This model is expected to have better predictability on new, unseen data.

To know more about linear regression models,

https://brainly.com/question/29855836

#SPJ1

Answer:

B.

Step-by-step explanation:

It is basically just reversing the formula so B. is the correct answer

so we'd want to find all "t" when the ball was 9 meters up in the air, or namely what's "t" when h(t) = 9, well, let's simply set h(t) = 9

\(\stackrel{h(t)}{9}=2+13t-5t^2\implies 0=-5t^2+13t-7 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-5}t^2\stackrel{\stackrel{b}{\downarrow }}{+13}t\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}\)

\(t= \cfrac{ - (13) \pm \sqrt { (13)^2 -4(-5)(-7)}}{2(-5)} \implies t = \cfrac{ -13 \pm \sqrt { 169 -140}}{ -10 } \\\\\\ t= \cfrac{ -13 \pm \sqrt { 29 }}{ -10 }\implies t= \begin{cases} \frac{ -13 + \sqrt { 29 }}{ -10 }\\\\ \frac{ -13 - \sqrt { 29 }}{ -10 } \end{cases}\implies t\approx \begin{cases} 0.76\\\\ 1.84 \end{cases} ~~ \textit{\LARGE seconds}\)

there are two values, Check the picture below, that's about the parabolic path for the object, and it hits 9 meters high twice, once on the way up, and again on the way down.

(A) The range and IQR for boxplot 1 is 10 and 6 respectively.

(B) The range and IQR for boxplot 2 is 12 and 7 respectively.

The interquartile range defines the difference between the third and the first quartile.

The formula for the interquartile range is given below.

Interquartile range = Upper Quartile – Lower Quartile = Q­3 – Q­1

The range is the difference between the lowest and highest values.

The formula for the interquartile range is given below.

Range = Maximum – Minimum

(A) For boxplot 1, we need to find the range and IQR from the given data set.

So, let 34 be the maximum and 24 be the minimum.

\(\text{Range}=\sf 34-24\)

\(\text{Range}=\sf10\)

Therefore, the range is 10.

Now time to find the IQR.

So, let 33 be Q3 and 27 be Q1.

\(\text{IQR}=\sf 33-27\)

\(\text{IQR}=\sf 6\)

Therefore, the IQR is 6.

(B) Now for boxplot 2, we will do the same thing as from part A.

Let's find the range.

So, let 24 be the maximum and 12 be the minimum.

\(\text{Range}=\sf 24-12\)

\(\text{Range}=\sf12\)

Hence, the range is 12.

Now for the IQR.

So, let 22 be Q3 and 15 be Q1.

\(\text{IQR}=\sf 22-15\)

\(\text{IQR}=\sf 7\)

Hence, the IQR is 7.

To know more about the range and IQR, visit:

https://brainly.com/question/31752116

#SPJ5

Step-by-step explanation:

25 minutes=3 miles

1 minute = 3/25 miles

20 minutes = 3/25 * 20 miles

= 2.4 miles

Therefore, the answer is 2.4 miles.

Answer:

$1,679.62

Step-by-step explanation:

129.60*12=$1,555.20

You then do 1,555.2*.08, and get:124.416

You then add the 2 together to find the amount needed to be paid back.