During a snow storm, 7.2 inches of snow fell in 4 hours. How many inches fell each hour? *

What the y-intercept represents is given by;

F: The total Distance the elevator travels

From the given graph, we can see that it is a graph to calculate the speed of elevator at Chimney rock.

Now, we know that formula for the velocity here is given as;

Velocity = Distance travelled/time taken.

We see that at time of 30 seconds that no distance was covered but when the time left was 0 seconds he had covered a distance of around 255 m.

This implies that the y-intercept represents the total distance that the elevator travels.

Read more about distance - time graphs at; https://brainly.com/question/13877898

The given box plot answers are,

a) 6

b) 5

c)3

d) 5

What is box plot?

   A suitable graphical representation of the concentration of the data is provided by box plots, often known as box-and-whisker plots or box-whisker plots. They also demonstrate how remote the extreme numbers are from the bulk of the data. Five numbers are used to create a box plot: the minimum value, first quartiles, median, third quartile, and maximum value.

Here in the given box plot middle line value is called median .Then ,

Median = 6

Now the maximum quartile = 8

The minimum quartile = 3

Now IQR is difference between the minimum and maximum quartile.

Then ,

=> IQR = 8-3 =5

Therefore the answers are

a) 6

b) 5

c)3

d) 5

To learn more about box plot

https://brainly.com/question/14277132

#SPJ1

The equation of the tangent line to the curve x+y-1=ln(x^6+y^6) at the point (1,0) is x - 1 = 0

The equation of the tangent line to the curve given by the equation x+y-1=ln(x^6+y^6) at the point (1,0) can be found using implicit differentiation.

Step 1: Differentiate both sides of the equation with respect to x:

d/dx (x+y-1) = d/dx (ln(x^6+y^6))

Step 2: Apply the chain rule to the right side of the equation:

1 + dy/dx = (1/(x^6+y^6)) * (6x^5 + 6y^5 * dy/dx)

Step 3: Rearrange the equation to isolate dy/dx:

dy/dx = (6x^5 + 6y^5)/(x^6 + y^6 - 1)

Step 4: Substitute the coordinates of the point (1,0) into the equation to find the slope of the tangent line at that point:

dy/dx = (6(1)^5 + 6(0)^5)/(1^6 + 0^6 - 1) = 6/0

Note: The slope of the tangent line is undefined, indicating that the tangent line is vertical.

Step 5: Using the point-slope form of a line, we can write the equation of the tangent line:

y - 0 = (6/0)(x - 1)

The equation of the tangent line to the curve x+y-1=ln(x^6+y^6) at the point (1,0) is x - 1 = 0. However, it's important to note that the slope of the tangent line is undefined, indicating that the line is vertical.

To know more about curve, visit

https://brainly.com/question/29364263

#SPJ11

Answer:

-3

Step-by-step explanation:

- square root 3 × square root 3 = -3

Answer:

7 over 8

Step-by-step explanation:

Change all the numerators over the least common denominator. 1+4+2 over 8.

Resulting function is y = -(1/5)e⁴ˣ - 4, which can be written in the form y = \(ce^{ax}\) + b as y = (-1/5)e⁴ˣ - 4.

To transform the given function y = e⁴ˣ according to the given conditions, we will perform the following steps:

1. Vertically compress With a factor of 5:
y = (1/5)e⁴ˣ

2. Reflect across the x-axis:
y = -(1/5)e⁴ˣ

3. Shift down 4 units:
y = -(1/5)e⁴ˣ - 4

So the resulting function is y = -(1/5)e⁴ˣ - 4, which can be written in the form y = ceᵃˣ + b as y = (-1/5)e⁴ˣ - 4.

Learn more about Resulting function.

brainly.com/question/20024801

#SPJ11

Answer:

s increases

Step-by-step explanation:

2t is a positive value so it will make the value of a increase

The Maximum Likelihood Estimation (MLE) for the mean parameter (0₁) of an exponential density can be obtained using a random sample of size n, denoted as X₁, X₂, ..., Xn.

To find the MLE for 0₁, we need to maximize the likelihood function. In the case of an exponential distribution, the likelihood function can be written as L(0₁) = (1/0₁\()^n\) * exp(-Σ(Xi/0₁)), where Σ represents the sum over i=1 to n.

To maximize the likelihood function, we take the logarithm of the likelihood function (log-likelihood) and differentiate it with respect to 0₁. By setting the derivative equal to zero and solving for 0₁, we can find the value that maximizes the likelihood function. In the case of the exponential distribution, the MLE for 0₁ is the reciprocal of the sample mean, 0₁ = 1/mean(X).

This result shows that the MLE for the mean parameter 0₁ of the exponential distribution is the inverse of the sample mean. This means that the estimated value of 0₁ will be the average of the observed sample values. By using the MLE, we can obtain an estimate of the true mean of the exponential distribution based on the available data.

Learn more about logarithm here:

https://brainly.com/question/30226560

#SPJ11

Answer:

D

Step-by-step explanation:

The parabola opens up. Which means the vertex is the minimum value.

The graph of the quadratic function y = x² + bx + c is D. the parabola opens up, the vertex is the minimum value.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A quadratic function y = x² + bx + c.

We know the graph of a quadratic equation is a parabola.

Now, If the coefficient of the term x² is greater than a the parabola opens upwards and is symmetric about y-axis and the vertex is the vertex is the minimum value also the roots lies at the vertex.

learn more about quadratic equations here :

https://brainly.com/question/30098550

#SPJ2

Answer:

14.598

Step-by-step explanation:

When you round that number to the nearest hundredth, you'll get 14.6. Hope this helps.

The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.

This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.

Learn more about interpretation here

https://brainly.com/question/10737299

#SPJ11

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

Step-by-step explanation:

g(x) = (5/8)^x is an exponential function.  Because 5/8 is less than 1, this function decreases constantly.  You should start with "easy" values of x, such as 0, 1, 1/2, and calculate the corresponding y-values.

x    y = (5/8)^x     Plot these points:

0             1           (0, 1)

1              5/8        (1, 5/8)

2              25/64   (2, 25/64)

10            0.009    (10, 0.009

-1               1.6         (-1, 1.6)

Observe that the y-intercept is (-1, 1.6), and that as x increases, the y values decrease.  As x grows larger and larger, the curve of the graph approaches the x-axis.  We call that axis the "horizontal asymptote).

The range of the data provided in the boxplot given the minimum number and the maximum number is 2.

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines known as the whiskers and a box. The left whisker represents the lowest number in the dataset. The right whisker represents the highest number in the dataset. The difference between these numbers is the range.

The box can be used to determine the first quartile, median and the third quartile. These values can be determined using the lines on the box.

The range of a data set is the difference between the highest number and the lowest number. Range is used to measure the variance of a dataset.

Range = highest number - lowest number

7.5 - 5.5 = 2

To learn more about box plots, please check: https://brainly.com/question/27215146

#SPJ1

The system of linear equation that represent this problem is

6x + 10y = 900

10x + 4y = 1220

Let's represent the number of CDs Roberto bought as x and the number of magazines as y

The problem states the following information:

Using the variables;  x and y as given;

1. Roberto bought 6 CDs and 10 magazines for $900.00 pesos. This can be represented as the equation:

  6x + 10y = 900

2. María bought 10 CDs and 4 magazines for $1,220.00 pesos. This can be represented as the equation:

  10x + 4y = 1220

So, the system of equations representing the problem is:

6x + 10y = 900

10x + 4y = 1220

learn more on system of linear equation here;

https://brainly.com/question/13729904

#SPJ1

Translation: Roberto bought 6 cd's and 10 magazines for $900.00 pesos; In the same store, her friend María bought 10 CDs and 4

magazines at $1,220.00 pesos. What is the system of equations with two unknowns that represents the problem?

The sum of triangle angles = 180

180 = 90 + 2x +15 + x

75 = 3x

x = 25

Answer:

→x=25°

Step-by-step explanation:

→2x+15+x+90°=180°[Sum of a triangle is 180]

→3x+105°=180°

→3x=180°-105°

→x=75°/3

→x=25°

Hope it will help you.

When estimating population parameters, a point estimate is: a population parameter

Point estimates are statistical estimates used to approximate population parameters such as mean, proportion or variance that remain unknown.

They provide one value as an approximation for unknown parameters in a population sample that may or may not match up exactly with true population value; nevertheless they serve as reasonable approximations.

Read more on  point estimate here https://brainly.com/question/24261796

#SPJ4

Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Answer:

0

Step-by-step explanation:

Answer:

-15(7/20) = -307/20 = -15.35, which is less than -15.

Step-by-step explanation:

Aight

Answer:

>

Step-by-step explanation:

-15(7/20) = -307/20 = -15.35, which is less than -15.

Answer:

B the height is 16 ft

Step-by-step explanation:

Answer:16

Step-by-step explanation: k12

Answer:

The 8th term of the AP= 113/5 or 22.6

Answer:

22.6

Step-by-step explanation:

Given:

Find the value of a₆:

\(\implies a+a_6=20\)

\(\implies a_6=20-a\)

\(\implies a_6=20-3\)

\(\implies a_6=17\)

Therefore:

General form of an arithmetic sequence:

\(\boxed{a_n=a+(n-1)d}\)

Where:

Substitute a = 3 and a₆ = 17 into the formula and solve for d:

\(\begin{aligned}\implies a_6=3+(6-1)d&=17\\3+5d&=17\\5d&=14\\d&=2.8\end{aligned}\)

Therefore, the equation for the nth term is:

\(\implies a_n=3+(n-1)2.8\)

\(\implies a_n=3+2.8n-2.8\)

\(\implies a_n=2.8n+0.2\)

To find the 8th term, substitute n = 8 into the equation for the nth term:

\(\implies a_8=2.8(8)+0.2=22.6\)

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

The Cost of installing the artificial soccer pitch is $5360

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.

The soccer pitch us rectangle in shape. Hence:

Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters

Cost of installing the pitch = $20 per meter * 268 meters = $5360

The Cost of installing the artificial soccer pitch is $5360

Find out more on perimeter at: https://brainly.com/question/16596982

The directional derivative of the function at the given point in the direction of the vector v are as follows :

\(\[D_{\mathbf{u}} f(\mathbf{a}) = \nabla f(\mathbf{a}) \cdot \mathbf{u}\]\)

Where:

- \(\(D_{\mathbf{u}} f(\mathbf{a})\) represents the directional derivative of the function \(f\) at the point \(\mathbf{a}\) in the direction of the vector \(\mathbf{u}\).\)

- \(\(\nabla f(\mathbf{a})\) represents the gradient of \(f\) at the point \(\mathbf{a}\).\)

- \(\(\cdot\) represents the dot product between the gradient and the vector \(\mathbf{u}\).\)

Now, let's substitute the values into the formula:

Given function: \(\(f(x, y) = 7e^x \sin y\)\)

Point: \(\((0, \frac{\pi}{3})\)\)

Vector: \(\(\mathbf{v} = \begin{bmatrix} -5 \\ 12 \end{bmatrix}\)\)

Gradient of \(\(f\)\) at the point  \(\((0, \frac{\pi}{3})\):\)

\(\(\nabla f(0, \frac{\pi}{3}) = \begin{bmatrix} \frac{\partial f}{\partial x} (0, \frac{\pi}{3}) \\ \frac{\partial f}{\partial y} (0, \frac{\pi}{3}) \end{bmatrix}\)\)

To find the partial derivatives, we differentiate \(\(f\)\) with respect to \(\(x\)\) and \(\(y\)\) separately:

\(\(\frac{\partial f}{\partial x} = 7e^x \sin y\)\)

\(\(\frac{\partial f}{\partial y} = 7e^x \cos y\)\)

Substituting the values \(\((0, \frac{\pi}{3})\)\) into the partial derivatives:

\(\(\frac{\partial f}{\partial x} (0, \frac{\pi}{3}) = 7e^0 \sin \frac{\pi}{3} = \frac{7\sqrt{3}}{2}\)\)

\(\(\frac{\partial f}{\partial y} (0, \frac{\pi}{3}) = 7e^0 \cos \frac{\pi}{3} = \frac{7}{2}\)\)

Now, calculating the dot product between the gradient and the vector \(\(\mathbf{v}\)):

\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = \begin{bmatrix} \frac{7\sqrt{3}}{2} \\ \frac{7}{2} \end{bmatrix} \cdot \begin{bmatrix} -5 \\ 12 \end{bmatrix}\)\)

Using the dot product formula:

\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = \left(\frac{7\sqrt{3}}{2} \cdot -5\right) + \left(\frac{7}{2} \cdot 12\right)\)\)

Simplifying:

\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = -\frac{35\sqrt{3}}{2} + \frac{84}{2} = -\frac{35\sqrt{3}}{2} + 42\)\)

So, the directional derivative \(\(D_{\mathbf{u}} f(0 \frac{\pi}{3})\) in the direction of the vector \(\mathbf{v} = \begin{bmatrix} -5 \\ 12 \end{bmatrix}\) is \(-\frac{35\sqrt{3}}{2} + 42\).\)

To know more about derivative visit-

brainly.com/question/31422048

#SPJ11

Answer:

57 is the answer

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

Answer:

The answer is D alternate exterior angles

Step-by-step explanation:

Answer:

expression 6 less a number t can be represented by the algebraic ... verbal expression n cubed increased by 5 can be ... 10. (2 + x) represents the pattern. c. The exponent of the product of two powers is the sum of the ... of them correct?

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

A number :

\(x\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Cube of it :

\( {x}^{3} \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

10 less than a number cubed is :

\( {x}^{3} - 10\)

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The test statistic of two brands of batteries is -2.177.

\(n_1\) = size of sample 1 = 16

\(n_2\) = size of sample 2 = 21

\(\bar{x_1}\) = mean of sample 1 = 210

\(\bar{x_2}\) = mean of sample 2 = 225

\(\sigma_{1}\) = standard deviation of sample 1 = 20

\(\sigma_{2}\) = standard deviation of sample 2 = 23

T test is test for statistical hypothesis that follows t-distribution table under null hypothesis. T test is used when test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known. So, for this case we use t test for test statistic,

t = \(\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}}\)

t = \(\frac{210-225}{\sqrt{\frac{20^2}{16}+\frac{23^2}{21}}}\)

t = \(\frac{-15}{\sqrt{\frac{400}{16}+\frac{529}{21}}}\)

t = -15 / 7.0845

t = -2.117

Thus, the two brands of batteries have test statistic result is -2.117

Your question is incomplete, but most probably your full question was

Suppose you are testing to see if there is a difference in population mean lifetime of two brands (1,2) of batteries. Random samples of batteries are taken for each brand and the following data are recorded:

Sample 1: n1= 16, X1 = 210, s1= 20

Sample 2: n2= 21, X2 = 225, s2= 23

What is the test statistic assuming unequal population standard deviations?

Learn more about test statistic here:

brainly.com/question/14911313

#SPJ4