I can't do this because I'm on my PC

The test statistic for the student who scored 79.6 points on the exam is 1.38

The relationship between a value and the mean of a group of values is quantified by a Z-score. The Z-score is calculated using standard deviations from the mean. A Z-score of zero means the data point's score is equal to the mean score.

Formula for z-score = x - u / σ

According to the question,

Sample size = 20 grades

Mean of sample = 74.8

Sample Standard deviation = 15.5

We have to calculate z-score for the student who scored 79.6 points on the exam.

But here if we see , sample size is less than 30 and population standard deviation is unknown.

So, we can't use Z-score .

t-statistics = x - u / (s/√n)

=> 79.6 - 74.8 / ( 15.5 / √20)

=> 4.8√20 / 15.5

=> 1.38 is required answer

To know more about z-score here

https://brainly.com/question/15016913

#SPJ4

Creating a walking path from the elementary school to the nearby park is an excellent idea. However, it is essential to plan it thoroughly to ensure that it is safe and enjoyable for everyone. This is why it is necessary to explain why in detail.

Firstly, it is vital to consider the purpose of the walking path. Is it intended for leisurely walks, exercising, or commuting? Once you have determined its purpose, it will be easier to decide on the design and features of the path. For instance, if the purpose is for exercising, the path may need to be longer and incorporate more challenging terrain.

Secondly, safety is a crucial factor when creating a walking path. The path should be well-lit and have clear signage to help pedestrians navigate the area. The surface of the path should also be even, free of any obstacles, and should have a slip-resistant surface to prevent any accidents.

Thirdly, it is essential to consider the environment surrounding the path. Trees, shrubs, and other vegetation can provide shade, create a calming environment, and even attract wildlife. However, it is crucial to ensure that these elements do not obstruct the path or create safety hazards.

Lastly, involving the community in the planning process can help ensure that the walking path meets the needs of the people who will be using it. The community can provide valuable input on the design, amenities, and even the maintenance of the path.

In conclusion, creating a walking path from the elementary school to the nearby park requires thorough planning to ensure it is safe, enjoyable, and meets the needs of the community. It is necessary to consider the purpose of the path, safety, environment, and community involvement in the planning process.

Learn more about pedestrians here:

brainly.com/question/10329203

#SPJ11

Answer:

24:16

Step-by-step explanation:

to find 1 part = 40/5 (you add the total of the ratio: 3+2)

so 8 and then times 8 by 3 and 8 by 2 to get the parts

Answer:

24 and 16

Step-by-step explanation:

First find the number of parts: 3+2 = 5.

then, divide 40 by 5 to find how much is available for each part. This way, you get 8.

Then to find the value for each section of the ration, multiply eight by the corresponding side.

8 x 3 = 24

8 x 2 = 16

Hope this helps.

Please mark brainiest

Step-by-step explanation:

525

15% of 3500

15/100 ×3500

0.15×3500

525

Answer:

B and C

Step-by-step explanation:

I just took the assignment

Answer:

B: The prediction is an interpolation.

C: No data is given in the scatterplot for a height of 72 inches, but a shoe size can still be predicted.

Step-by-step explanation:

Good luck :)

a. It takes 1 minute  for all the ice to melt.

b. It takes 20 minutes for the water to boil.

c. Slope of the line segment A is 20

d.  Slope of the line segment C is 10

e. The first minute is faster.

A block of ice with an initial temperature of−20℃is heated at a steady rate.

Graph it is shows that how the temperature changes as the ice melts to become water and the water boils to become steam and water.

a. From the graph, we know it will be

1 - 0 = 1 minute

It takes 1 minute  for all the ice to melt.

b. From the graph, we know it will be

20 - 0 = 20 minutes

It takes 20 minutes for the water to boil

c. The slope of the line segment labelled A is:

The slope of A is equal to \(\frac{0-20}{1-0} = 20\) (Changing Rate).

d. The slope of the line segment labelled C is:

The slope of C is equal to \(\frac{100-0}{20-10}= 10\).

e. The temperature changing during the first minute is 20℃ per minute.

The temperature changing during the 16th minute is 10℃ per minute.

So, The first minute is faster.

Hence,

a. It takes 1 minute  for all the ice to melt.

b. It takes 20 minutes for the water to boil.

c. Slope of the line segment A is 20

d.  Slope of the line segment C is 10

e. The first minute is faster.

Learn more about Temperature at:

https://brainly.com/question/11464844

#SPJ1

Answer:

Step-by-step explanation:

Input is - 6 and Output is 22.

The acceleration the car must achieve, according to the mean value theorem, is 60 mi/h²2.

To find the acceleration of the car using the mean value theorem:

At 2:00 PM, the car's speedometer reads 30 mph.

At 2:10 PM, the car's speedometer reads 40 mph.

The mean value theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one value c in the open interval (a, b) such that:

f'(c) = (f(b) - f(a)) / (b - a)

consider time as the independent variable (t) and speed as the dependent variable (s).

s(2:00 PM) = 30 mph (let's denote it as s(a))

s(2:10 PM) = 40 mph (let's denote it as s(b))

The time interval between these two readings is 10 minutes or 1/6 hour. Therefore, a = 2:00 PM and b = 2:10 PM.

The mean value theorem to find the acceleration. The acceleration represents the derivative of the speed with respect to time to find s'(c), where c is the time at which the car achieves the average speed.

The mean value theorem formula,

s'(c) = (s(b) - s(a)) / (b - a)

Substituting the given values:

s'(c) = (40 mph - 30 mph) / (1/6 h)

Simplifying:

s'(c) = 10 mph / (1/6 h)

To get the acceleration in mi/h²,  to divide by the time unit squared. Since mph is a unit of speed, to divide by hours squared.

s'(c) = (10 mph / (1/6 h)) ×(1/1 h²)

s'(c) = (10 mph × 6 h) / (1 h²)

s'(c) = 60 mph / h

To know more about value  here

https://brainly.com/question/30145972

#SPJ4

Answer:

42%

Step-by-step explanation:

\(\frac{21}{50}\) as a percent

\(\frac{21}{50}=\frac{y}{100}\)

50 · y = 21 · 100

50y = 2100

50y ÷ 50 = 2100 ÷ 50

y = 42

The probability of a customer having both a checking account and a savings account is 50%.

P(A and B) = P(A) * P(B|A)

Where,

P(A) is the probability of event A (a customer has a checking account)

P(B|A) is the probability of event B given that event A has occurred (a customer has a savings account, given that they have a checking account)

80% of its customers maintain a checking account (P(A) = 0.8)

60% have a savings account (P(B) = 0.6)

90% have either a checking account or a savings account (P(A or B) = 0.9)

We can use the above formula to calculate the probability that a customer has both a checking and a savings account:

P(A and B) = P(A) * P(B|A) = 0.8 * P(B|A) = 0.8 * (P(A and B) / P(A))

We know that P(A and B) is the probability that a customer has both a checking and a savings account.

We can use the formula for:

P(A or B) = P(A) + P(B) - P(A and B)

0.9 = 0.8 + 0.6 - P(A and B)

Solving for P(A and B)

P(A and B) = 0.8 + 0.6 - 0.9 = 0.5

So the probability that a customer has both a checking account and a savings account is 0.5 or 50%.

To learn more about probability:

https://brainly.com/question/30034780

#SPJ4

The equation of a circle centered at the origin with a radius of 12, which is x² + y² = 144.

To find the equation of the circle, we use the standard form of the equation of a circle, which is:

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the center of the circle, and r is the radius.

In our problem, the center of the circle is at the origin, which means h = 0 and k = 0. The radius is given as 12, so we have r = 12. Substituting these values into the standard form equation, we get:

(x - 0)² + (y - 0)² = 12²

Simplifying, we get:

x² + y² = 144

Therefore, the equation of the circle centered at the origin with a radius of 12 is x² + y² = 144.

To know more about equation here

https://brainly.com/question/10413253

#SPJ4

The equation of the line that runs between the points (2, 15) and (-4, -21) is y = 6x + 3.

To learn more about lines, visit :

https://brainly.com/question/2696693

#SPJ1

If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

To know more about laws of physics refer here:

https://brainly.com/question/13966796

#SPJ11

The width and height of the model are;

Width of model = 13.5 inches

Height of model = 2.25 inches

A scale model is defined as a physical model that is geometrically similar to an object. Scale models are usually smaller than large prototypes such as vehicles, buildings, or people. However, these scale models may be larger than small prototypes such as anatomical structures or subatomic particles.

Now, we are given that the dimensions of the new medical complex are;

Length = 400 ft

Width = 180 ft

Height = 40 ft

Thus, for a scale model with length of 30 in(2.5 ft) long, the scale factor is; Scale factor = 2.5/400

Thus;

Width of model = 180 * (2.5/400)

= 1.125 ft = 13.5 inches

Height = 30 * (2.5/400)

= 0.1875 ft = 2.25 inches

Read more about Scale Model at; https://brainly.com/question/261465

#SPJ1

Answer:

0.1

Hope this helps :)

Answer:

0.1

Step-by-step explanation:

0.1 = 0.1

0.1 x 0.1 = 0.01

0.1 x 0.1 x 0.1 = 0.001

It is well known that utilizing a zip file is an effective method for reducing the size of the document in order to boost storage and sharing possibilities. A zipped folder may be smoothly moved from one place (the transmitter) to another without any issues (the receiver).

One or more files can be compressed and stored together in one location using the ubiquitous ZIP file format. As a result, the file size is less and is simpler to transport and store. After transmission, the receiver can use the files in their original form by unzipping (or extracting) her ZIP file.

In order to increase storage and sharing capabilities by lowering the size of the document, it is known that using a zip file is an efficient technique. A zipped folder may be effortlessly transferred without any hiccups from one location (the transmitter) to another (the receiver). Using Zip files has the primary benefit of reducing the time required to send large files over email. The document's quality is unaffected and is identical to the original file when it is compressed using a zip file.

To know more about zip visit:

https://brainly.com/question/23542347

#SPJ4

Answer:

b

Step-by-step explanation:

Dilation reduces or enlarges the size

Translation moves the shape within the quadrant

Rotation about the origin changes the orientation and the location to another quadrant.

Answer:

17 radical din 2

Step-by-step explanation:

dami coroana te rog

The slope of a line that is perpendicular to the line through the points is - 25/123

The change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

The reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.

m₁ × m₂ = -1

Where,

m₁ = Slope of the first line

m₂ = Slope of the second line

According to the question

Given

points A (4.95, 5.96) and B (8.01, 21.03)

So the equation of the line passing from these two points will be

(y - y₁) = \(\frac{y_2 - y_1}{x_2 - x_1}\) (x - x₁)

So the equation we get will be

(y - 5.96) = \(\frac{21.03 - 5.96}{8.01 - 4.95}\) (x - 4.95)

⇒ y - 5.96 = 4.92 (x - 4.95)

⇒ y - 5.96 = 4.92x - 24.55

⇒ y = 4.92x - 18.39

This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25

Now

∵ m₁ × m₂ = -1

∴ (123/25) × m₂ = -1

⇒ m₂ = - (25/125)

Hence, the slope of a line that is perpendicular to the line through the points is - 25/123

To know more about perpendicular lines on brainly : brainly.com/question/18271653

#SPJ4

The slope of a line that is perpendicular to the line through the points is - 25/123

The change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

The reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.

m₁ × m₂ = -1

Where,

m₁ = Slope of the first line

m₂ = Slope of the second line

According to the question

Given

points A (4.95, 5.96) and B (8.01, 21.03)

So the equation of the line passing from these two points will be

(y - y₁) = \(\frac{y_2 - y_1}{x_2 - x_1}\) (x - x₁)

So the equation we get will be

(y - 5.96) = \(\frac{21.03 - 5.96}{8.01 - 4.95}\) (x - 4.95)

⇒ y - 5.96 = 4.92 (x - 4.95)

⇒ y - 5.96 = 4.92x - 24.55

⇒ y = 4.92x - 18.39

This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25

Now

∵ m₁ × m₂ = -1

∴ (123/25) × m₂ = -1

⇒ m₂ = - (25/125)

Hence, the slope of a line that is perpendicular to the line through the points is - 25/123

To know more about perpendicular lines on brainly : brainly.com/question/18271653

#SPJ4

The scale factor of the triangle is 4:1.

We have,

The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides.

Let's call the scale factor "k", and the length of one side of the original triangle "x".

Then, the length of the corresponding side in the new triangle is kx.

The problem tells us that the perimeters of the two triangles are in the ratio 24:3, or 8:1.

Therefore, we have:

24/3 = (kx + kx + x)/(x + x + x)

Simplifying the left side of the equation, we get:

8 = 2k

Dividing both sides by 2, we get:

k = 4

Therefore,

The scale factor is 4:1.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

Answer:

y = 4

Step-by-step explanation:

Answer:

99-7a^2=36 when a =3

Step-by-step explanation:

99-7a²

99-7(3)²

99-7(9)

99-63

36

Answer:

UW = EW+UE=2×EW because, EW=UE

7x-2=2×6= 12

7x=14

x=14/7

x=2

Answer:

x = -2

y = -4

Step-by-step explanation:

x - 3y = 10 --------------(1)

x + 5y = -22 -----------(2)

Taking Eq. (1)

x - 3y = 10

x = 10 + 3y ------------(3)

10 + 3y + 5y = -22

8y = -22 - 10

8y = -32

y = -32/8

x = 10 + 3(-4)

x = 10 - 12

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

To solve the given system, let's begin by solving for x in x- 3y=10:-

\(\tt x-3y=10\)

Add 3y to both sides:-

\(\tt x-3y+3y=10+3y\)

\(\tt x=10+3y\)

Substitute x= 10+3y into x+5y=-22:-

\(\tt 10+3y+5y=-22\)

Simplify:-

\(\tt 10+8y=-22\)

Now, solve for y in 10+8y=-22:-

\(\tt 10+8y=-22\)

Subtract 10 from both sides:-

\(\tt \tt 10+8y-10=-22-10\)

\(\tt 8y=-32\)

Divide both sides by -8:-

\(\boxed{\bf y=-4}\)

Now, substitute y=-4 into x=10+3y:-

\(\tt x=10+3y\)

\(\tt x=10+3\times-4\)

Simplify:-

\(\boxed{\bf x=-2}\)

Therefore, x=-2 and y=-4

_________________________

Hope this helps! :)

Answer:

Answer C: Reflecting over the line y = x

Step-by-step explanation:

A function and its inverse have always symmetry around the line y = x (called also the identity line)

Therefore answer C seems to be the only answer that addresses such.

Answer:

Below

Step-by-step explanation:

Realize that the angles are supplementary

x-17   +     7x+5  = 180

8x -12 = 180

8x = 192

x = 24

Answer:

x = -1

Step-by-step explanation:

Slope = (6-3)/(-1- (-1)

= 3 / 0

- so the line is vertical.

- and as it passes through x axis at x = -1,  the answer is x = -1.

Answer:

The answer is k = 44.

Step-by-step explanation:

1) Subtract 3 from both sides.

\( \frac{k}{4} = 14 - 3\)

2) Simplify 14 - 3 to 11.

\( \frac{k}{4} = 11\)

3) Multiply both sides by 4.

\(k = 11 \times 4\)

4) Simplify 11 × 4 to 44.

\(k = 44\)

Therefor, the answer is k = 44.

Answer:

k = 44

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

k/4 + 3 - (14) = 0

                  k

Simplify   —

                  4

   k          

 (— +  3) -  14  = 0

   4

Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

           3           3 • 4

   3 =  —  =  —————

           1               4  

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole

Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

       k + 3 • 4                    k + 12

—————————  =  ——————

            4                              4

       (k + 12)    

 ———————— -  14  = 0

            4

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

             14           14 • 4

   14 =  ——  =  ——————

              1                4

Adding up the two equivalent fractions

   (k + 12) - (14 • 4)              k - 44

——————————  =  ——————

             4                               4

      k - 44

 ——————  = 0

         4

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

   k - 44

 ———— • 4 = 0 • 4

      4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  k - 44  = 0

Solve  :    k - 44 = 0

Add  44  to both sides of the equation :

                     k = 44