The data for the production of number of components at an industry for three weeks are given below. Make a stem-and-leaf plot68, 91, 42, 85, 13, 96, 15, 46, 95, 46, 64, 18, 44, 83, 69

Since all the information in the study, such as the type, the age and the weight are related to the pet, individuals in each data-set are the pets.

The individual of a data-set is the object which is being analyzed in the study, the object that has it's characteristics analyzed.

In the context of this problem, these following information are analyzed, at the register when the doctor attends each pet and registers the information.

All these information belong to the pet that visits the veterinary, hence the individuals in each data-set are the pets.

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Similar triangles are triangles that maintain the same ratio even though they are of different scales. Their angles are however equal.

In this case, y is the longest side in triangle 2 as 37.5 is the longest side in triangle 1

The ratio is thus:

Cross multiplying, we have:

y = 22.5

Using the uniform distribution, it is found that:

The uniform distribution has two bounds, a and b, and all outcomes in the distribution are equally as likely.

In this problem, the bounds are as follows:

a = 0, b = 5.3.

Hence the mean is:

M = (a + b)/2 = (0 + 5.3)/2 = 2.65 mm.

The standard deviation is of:

[tex]S = \sqrt{\frac{(b - a)^2}{12}} = \sqrt{\frac{5.3^2}{12}} = 1.53[/tex]

The uniform distribution is continuous, hence the probability of an exact value is of 0.

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

Hence:

P(1.2 < x < 3.4) = (3.4 - 1.2)/(5.3 - 0) = 0.4151 = 41.51%.

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Hence:

P(X > 4.16) = (5.3 - 4.16)/(5.3 - 0) = 0.2121 = 21.51%.

P(x > 4.2 | x > 1.8) makes the lower bound 1.8, hence:

P(X > 4.2|x > 1.8) = (5.3 - 4.16)/(5.3 - 1.8) = 0.3257 = 32.57%.

The 85th percentile is found as follows:

0.85 x (5.3 - 0) = 4.505 mm.

The lower quartile is the 25th percentile, hence:

0.25 x (5.3 - 0) = 1.325 mm.

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Perpendicular lines have slopes that are negative reciprocals.

If two perpendicular lines have slopes m1 and m2, then we have the following equation:

Then, we can analyze each pair.

a) In this case, both lines have the same slope (m = 1/5). They are parallel, not perpendicular.

b) In this case, the slopes are different. They are reciprocals (m1 = 1/m2), but they are not negative reciprocals, so they are not perpendicular.

c) In this case the slopes are the negative of each other (2/3 and -2/3), but they are not negative reciprocals. Then, they are not perpendicular.

d) In this case, the slopes are negative reciprocals:

Then, this lines are perpendicular.

Answer: Option d.

Note:

Corresponding agles are angles on corresponding (the same) side of the two lines intersected by the transversal

Alternate angles are angles on the opposite sides of the transversal

At least 20 people can attend the party

Linear equations are typically organized like this: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

When the equation is like [tex]y=b[/tex], it means that it is a horizontal line and the slope is 0.

When the equation is like [tex]x=d[/tex], it is a vertical line and the slope is undefined.

First equation: 0

Second equation: undefined

Third equation: [tex]\dfrac{4}{5}[/tex]

The shape can be broken into two separate rectangles of the forms below.

Bothe shapes give a rectangle, therefore the area of the shape is

Area of Shape = Area of rectangle A + Area of rectangle B

Since Area of rectangle = LENGTH X BREADTH, we then have below

In conclusion, the answer is 946 square inches

Explanation

Step 1

to find the transformation, count the units moved in each axis

for x, (red line)

for y( green line)

Answer: D=2/7 R=4/7

Step-by-step explanation: there are 7 parts and D is the 2nd part R is the 4th part.

If there will be an increase of 13 degrees, the temperature will be -14 degrees.

We know that by noon, the temperature had risen by 13 degrees, and currently the temperature is -27 degrees.

A "rise" in temperature means that the temperature increases, so the temperature at noon will be 13 degrees more than now, and now it is -27 degrees, so we will get:

-27° + 13° = -14°

The temperature at noon will be -14°.

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answer is:

The area of the rectangle with length [tex]4 \frac{3}{4}[/tex] inches and width [tex]3 \frac{1}{2}[/tex] inches will be;

⇒  [tex]16 \frac{5}{8}[/tex] inches²

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The length of the rectangle = [tex]4 \frac{3}{4}[/tex] inches

                                           = 19 / 4 inches

The width of the rectangle =  [tex]3 \frac{1}{2}[/tex] inches

                                          = 7 / 2 inches.

Since, We know that;

The area of the rectangle = Length x Width

Substitute all the values , we get;

The area of the rectangle = Length x Width

The area of the rectangle = 19 / 4 x 7 / 2

                                       = 133 / 8 inches²

                                       = [tex]16 \frac{5}{8}[/tex] inches²

Therefore,

The area of the rectangle with length [tex]4 \frac{3}{4}[/tex] inches and width [tex]3 \frac{1}{2}[/tex] inches will be;

⇒  [tex]16 \frac{5}{8}[/tex] inches²

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We have the following expression given:

2x -5y = -20

For this case the correct set in order to begin is add 5y in both sides

Add +5y to both sides of the equation.

The length of segment AB when the line segment AB is on square ABCD is 36 units.

From the task content, the length of the line segment AB which is a side of the square ABCD is to be determined.

In this case, since the perimeters of triangle EFG and square ABCD are equal as given;

Let the length of segment AB = x.

Therefore, EF = x + 12.

Therefore, the perimeter of the equilateral triangle = 3(x +12).

While the perimeter of square ABCD is; 4x.

Therefore, since the perimeters are equal, we equate them and this will be:

3(x + 12) = 4x

3x + 36 = 4x

36 = x.

Therefore, the length is 36 units.

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Let's begin by listing out the information given to us:

A tub has this: 247.5 grams of popcorn = 275%

regular-sized bag: x grams = 100%

We will solve using simple proportion

Answer:

I think x is -6

Step-by-step explanation:

Side 1:

3x+1

3x-10+1=(-29)

3x-6+1=(-17)

Side 2:

2x-5

2x-10-5=(-25)

2x-6-5=(-17)

y = -2x + 4

The equation of the line having a slope m, and passing through the point (x₁, y₁) is given as:

y - y₁ = m (x - x₁)

From the description given:

The line passes through the point (0, 4)

That is, x₁ = 0, y₁ = 4

The slope of the line, m = -2

Substitute x₁ = 0, y₁ = 4, and m = -2 into the equation y - y₁ = m (x - x₁)

y - 4 = -2 (x - 0)

y - 4 = -2(x)

y - 4 = -2x

y = -2x + 4

Answer:

C.

Explanation:

Let's analyze each answer option:

Option A.

Taking into account the table, we can say that 45 boys play video games daily and 12 girls play video games daily, so more boys play video games daily than girls because 45 is greater than 12.

Option B.

In the same way, there is a total of 57 students that play video games daily and 43 that don't. Since 57 is a little higher than 50 (half of the 100 students surveyed), we can say that a little more than a half of the students surveyed play video games daily.

Option C.

There are 50 boys surveyed and from them 5 do not play video games daily, so the percentage of boys that don't play video games daily is:

Option D.

In the same way, there are 50 girls surveyed, and 12 play video games daily, so the percentage of girls that play video games daily is:

Therefore, the only option that is not a reasonable interpretation of the data is C. because the percentage of boys that don't play video games daily is 10% instead of 5%

Given:

Probability of getting orange gumball is, p(o) = 3/4.

Probability of getting yellow gumball is, p(y) = 1/6.

The objective is to find the number of each colored gumballs.

Since, the sum of the events of probability is always 1.

Then, the probability of purple ball p(p) can be calculated as,

Since, it is given that the total number of gumball is N = 36.

Then, the number of orange ball can be calculated as,

Similarly, the number of yellow ball can be calculated as,

And the number of purple ball can be calculated as,

Hence, the number of orange ball is 27, number yellow ball is 6 and number of purple ball is 3.

The meal cost is $86

its 15% is:

$86 x 0.15 = $12.9

then the tip was $12.9. Then, the total bill would be:

$86 + $12.9 = $98.9

that is the total bill was $98.9

Solution:

If the outer diameter is 7, then the outer radius is b=7/2.

On the other hand, if the inner diameter is 3, then the inner radius is a= 3/2.

Now, the surface area of a torus (glazed donut) with inner radius a and outer radius b is given by

Then, applying the data of the problem to the above equation, we can conclude that the surface area of the given glazed donut would be:

so that, the correct answer is:

Marble Events

there are 5 + 3 = 8 marbles

If one marble is selected then there are now

8 - 1 = 7 marbles

Then answer is

The two events are Dependent

Event B is dependent on Event A

The most appropriate choice for distance formula will be given by Area of rectangle is 40 sq units

What is distance formula?

Distance formula is used to find the distance between two points.

Let A and B be two points with coordinate [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] respectively

Distance between A and B = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

Here,

Let A = (-1 , -4), B = (-1, 6), C = (3, 6) and D = (3, -4)

Length of AB =

[tex]\sqrt{((-1)-(-1))^2 + (-4-6)^2}\\\sqrt{100}\\10 units[/tex]

Length of BC =

[tex]\sqrt{((-1)-3)^2 + (6-6)^2}\\\sqrt{16}\\4 units[/tex]

Length of rectangle = 10 units

Breadth of rectangle = 4 units

Area of rectangle = [tex]10 \times 4[/tex] = 40 sq units

Fourth option is correct

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Since the given rate is 22 gallons of pest for 8 acres of crops, then

We need to find how many acres per gallon

Then we will divide 22 acres by 8 gallons to find the rate

Divide up and down by 2 to simplify

The answer is:

The rate is 11/4 gallon per acre (2 3/4)

In general, given a quadratic function,

The end behaviors of each end of the function are given by the limits of f(x) when x approaches +/-infinite.

Therefore,

and

Thus, the two limits are the same and depend on the sign of a.

Answer:

Option B

Step-by-step explanation:

Undefined expression:

An undefined expression is a division by 0, or a fraction in which the denominator is 0.

In this question, the undefined expression is given by option B.

Answer: I'm not sure if you're trying to find x or y, but y = x/3 and x = 3y

Step-by-step explanation: