TRUE/FALSE. if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants.

The distance covered by the car in 1 hour is 65 miles.

For the stated question-

Car travels with the speed = 65 mi/h.

Total time is 1 hour.

the, by the relation of-

Speed = distance x time

Distance = speed / time

Distance = 65 mi/h / 1 hour

Distance = 65 mi

Thus, the distance covered by the car in 1 hour is 65 miles.

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The inequality that can be used to find p is 7p -12 < 45.

What is a Triangle?

A triangle is a polygon with three sides, three angles, and three vertices.

The perimeter of the given triangle is at most 45 centimeters.

The perimeter of a triangle is equal to the sum of all sides.

The sides given is 3p-6 , 3p-6 ,p

So,

3p-6 +3p-6 +p < 45

7p -12 < 45

Hence the answer is, the inequality that can be used to find p is 7p -12 < 45.

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Answer:

$949

Step-by-step explanation:

→ Write a function

y = 150 + 17x

→ Substitute in 47

949

Answer: the answer is 19

Answer:

The conversion factor is 0.15500031000062; so 1 square centimeter = 0.15500031000062 square inches. In other words, the value in cm2 divide by 6.4516 to get a value in inch2. The calculator answers the questions: 110 cm2 is how many inch2? or change cm2 to inch2. Convert cm2 to inch2.

Conversion result:

1 cm2 = 0.155 inch2

1 square centimeter is 0.155 square inches.

Step-by-step explanation:

The correct option is the 1st one. "The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3."

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)

Given that, Two students created paintings for their art class. The canvas size used for each is shown.

4 ft

6 ft

2 ft

3 ft

So the ratio of  width and length of 1st painting = 4:6 = 2:3

And, the ratio of  width and length of 2nd painting = 2:3

Hence, we can conclude that, The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.

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The SAS Congruence Theorem means proving congruence by Side Angle Side Theorem .

The two figure which are  "Congruent" means that the two figures are same in all aspects including shape and size .

The term SAS Congruence is also known as Side Angle Side congruence, which is used to describe relation of two figures that are congruent.

Under this criterion, if two sides of a triangle are equal to two sides of another triangle, and the angle formed by these sides in two triangles are equal, then these two triangles are congruent.

Therefore , The SAS Congruence Theorem means proving congruence by Side Angle Side Theorem .

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CD makes approximate 10.9 resolutions to make as it spins to a stop.

Here we have to determine the number of rotations N ,the CD spun before it comes to a stop. We first need to express the initial angular velocity ω , in terms of rad/s by applying the conversion factor ω = 2πf × 1/60 min/s where f = 500 rpm.

Then we apply the equation for the angular displacement of the CD upon coming to a stop,

Ф=  (ωi²-ωf²)/2α , We have the final angular velocity of ωf = 0 rad/s and an angular acceleration of α = 20.1 rad/s² Now we proceed with finding Φ.

Ф=  (ωi²-ωf²)/2α

  = {(2Πf×1/60min/s)² - ωf²}/2α

  = {(2π(500 rpm) × 1/60 min/s) -0 rad/s}/2(20.1 rad/s²)

  ≈ 68.19792... rad

Now we divide the answer by 2π to find the answer ,N, or

N =   Ф/2π

N =   (68.19792... rad)/2ππ

N  ≈ 10.9 revolutions

So, CD makes approximate 10.9 revolutions to make it stop.

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Minimum value and maximum value attained at 36 and [tex]2\sqrt{648}[/tex] respectively.

Maxima and minima of a function are the largest and smallest value of the function respectively either within a given range or on the entire domain. Collectively they are also known as extrema of the function. The maxima and minima are the respective plurals of maximum and minimum of a function.

Given that f = [tex]x^{2}[/tex]+ [tex]y^{2}[/tex]

Let g = [tex]x^{4}[/tex] + [tex]y^{4}[/tex] = 1296

By Lagrange Multipliers:  grad(f) = λ grad(g)

or  <2x, 2y> = λ <4[tex]x^{3}[/tex], 4[tex]y^{3}[/tex]>

Equating like entries:

2x = 4λ[tex]x^{3}[/tex]=> x(2λ[tex]x^{2}[/tex] - 1) = 0

2y = 4λ[tex]y^{3}[/tex] => y(2λ[tex]y^{2}[/tex] - 1) = 0

Now there possible 3 cases :

(i) If x = 0, then   [tex]x^{4}[/tex] + 0 = 1296 => x = ±6.

(ii) If y = 0, then 0 + [tex]y^{4}[/tex]= 1296 => y = ±6

(iii) Otherwise, we have 2λ[tex]x^{2}[/tex] - 1 = 0 = 2λ[tex]y^{2}[/tex] - 1  => λ([tex]x^{2}[/tex] - [tex]y^{2}[/tex]) = 0.

If λ = 0, then both x = 0 and y = 0 and this is not possible since [tex]x^{4}[/tex]+ [tex]y^{4}[/tex]= 1296.

Otherwise,[tex]x^{2}[/tex] = [tex]y^{2}[/tex] ⇒ [tex]x^{4}[/tex] +  [tex]x^{4}[/tex] = 1296 => x = ± [tex]648^{1/4}[/tex]

(with x and y will have different signs)

Now we have following critical points (in lexicographic order):

(- [tex]648^{1/4}[/tex], - [tex]648^{1/4}[/tex])

(- [tex]648^{1/4}[/tex],  648^(1/4))

(-6, 0)

(0, -6)

(0, 6)

(6, 0)

( [tex]648^{1/4}[/tex], - [tex]648^{1/4}[/tex])

( [tex]648^{1/4}[/tex],  [tex]648^{1/4}[/tex])

Minimum value attained at f(±6, 0) = f(0, ±6) = 36

Maximum value attained at f(± [tex]648^{1/4}[/tex],  [tex]648^{1/4}[/tex]) = f(± [tex]648^{1/4}[/tex], - [tex]648^{1/4}[/tex]) = [tex]2\sqrt{648}[/tex]

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The probability that there are k turnovers in the given event is

[tex]^{n-1}C_k\cdot(\frac{1}{2})^{n-1}[/tex] .

Let us consider the changeover for the event as C.

Let the non-change over of the event is S

Let the probability of the event be p.

Probability of heads = p

Now Xi =1 if the changeover occurs on the i - th flip.

E[Xi] = 2 × (1-p)×p

Expected number of changeovers :

E[number of change overs] = E[∑ Xi] =2(n-1)(1-p)p

Now the sequence is given as  H H T H T H H T

This is same as the probability of k heads in (n-1) trials using binomial distribution .

Required probability = [tex]^{n-1}C_k\cdot(\frac{1}{2})^{n-1}[/tex]

Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this occurs, we say that there is a possibility that the event will occur.

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The amount of yellow balls in the jar is 1000, with the probability.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.

in a jar there are 600 red balls and 400 green balls and an unknown amount of yellow balls.

probability is 1/5 for green ball.

The Total number of balls 1000+x

So given the probability of green is 400/1000+x = 1/5

1000+x = 5*400 = 2000

x = 2000-1000=1000

Hence the amount of yellow balls in the jar is 1000.

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The test statistic has a value of -633.6915 if a sample mean of 10 bottles was chosen, and the average number of ounces was 12.005.

As stated. Sample mean is 10.

12.005 people on average.

0.01 is the standard deviation.

The test statistic's value is -633.6915 when calculated using the formula:

T = mean - average population / s/root n

= 10-12.005 / 0.01/3.16

= -2.005 /0.0031

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The value of a and b are; 4.8 and 10.8 respectively.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We have been given a figure which shows that;

Let x, y z, and u lines are parallel.

Therefore, by using proportion we can say that

a/ 12 = 4/ 10

thus, a = 4/ 10 (12)

a =2(12)/ 5

a = 24/5

a = 4.8

Now, 12/b = 10/8

b = 12 (8/10)

b = 6(8)/ 5

b  54/5

b = 10.8

Hence, tha value of a and b are; 4.8 and 10.8 respectively.

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Yes because (50)(0.25) and (50)(1 - 0.25) are both at least 10. This means we can use the normal distribution to model the distribution of sample portions.

What is a Normal distribution in statistics?

Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central region, with values decreasing as one moves away from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same.

25% = 0.25

Then (50)(0.25) > 10 and also (50)(1 - 0.25) > 10.

Hence, we can use the normal distribution to model the distribution of sample portions.

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Convenience sampling is commonly used in the later stages of research and it is a time-consuming process if there is a large number of respondents. So the option 3 ad 5 is correct.

In the given question we have to check which of the following is true of convenience sampling.

The given options are:

Convenience sampling is a non-probability sampling process-based sampling technique.

When sampling vast amounts of data, it is helpful and takes less time.

It prevents the researchers from determining the representativeness and is not appropriate for earlier stages of research.

Additionally, it prevents researchers from extrapolating the data they have acquired.

Hence, convenience sampling is commonly used in the later stages of research and it is a time-consuming process if there is a large number of respondents. So the option 3 ad 5 is correct.

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The correct answer is (d) which is commemorative speech

Given that,

A speech that praises, honors, recognizes, or pays tribute to a person, an event, an idea, or an institution

Given choices :  a. speech of award  b. introductory speech  c. speech of tribute  d. commemorative speech

What is commemorative speech ?

An address of honor given to celebrate or extol the virtues of a person, organization, place, event, idea, or institute is known as a commemorative (or ceremonial, or epideictic) speech. This speech goes beyond simple praise or thanks. It is more of an appreciation and celebration.

So, The correct answer is (d) which is commemorative speech

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Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

The statement is true.

Given,

In the question:

Because working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

Let's know:

An accountant is an expert who handles bookkeeping and types out the monetary files you need to run your business—like profit and loss statements, balance sheets, and extra. They audit your books, put together reviews for tax functions, and simplify all the monetary mumbo jumbo that incorporates going for walks an enterprise.

Answer in true and false.

Now, According to the question:

The above statement is true.

Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

Hence, The statement is true.

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The mean number of visitors to the museum is much greater than the median number of visitors.

What is median?

The value of the middle observation found after the data are arranged in ascending order is referred to as the median of the data. In many cases, it is challenging to take all of the facts into account when representing something, and in these cases, median is helpful. The median is one of the simples to compute statistical summary metrics. The median is also known as the place average since it uses the data that is in the center of a sequence to determine its value.

Option (a) is unquestionably incorrect since the probability that there will be 450 to 500 investors is extremely low (0.05), and investors are not, in fact, the visitors with the highest possibility of visiting the museum.

We will take the midpoint value of the class intervals as the given distribution is expressed as class intervals in order to simplify the data in this distribution.

Mean = 306

Since the mean(306) is coming out to be greater than the median (300)

Therefore the correct option is,

(C) the mean number of visitors to the museum is much greater than the median number of visitors.

Hence the mean number of visitors to the museum is much greater than the median number of visitors.

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a. Mixed cost - the cost per unit decreases with increase in units sold.

b. Variable cost - the expense increases with increase in units sold

c. Fixed cost - expense is constant with increase in units sold.

d. Fixed cost - cost is constant with increase in units sold.

e. Variable cost - cost increases with increase in units sold

f. Variable cost - cost increases with increase in units sold

g. Mixed cost- depreciation cost decreases with increase in units sold.

h. Fixed cost - cost is constant with increase in units sold.

i. Variable cost - cost increases with increase in units sold

j. Fixed cost- cost is constant with increase in units sold.

According to the given question;

Mixed costs: That has a high initial cost generally because they contain some fixed components and change in proportion because they contain some variable components.

Fixed costs: Costs that are consistent or constant are known as fixed costs.

Variable costs: These alter as the quantity of units changes.

(a) The price is fixed. This is because even while the price per unit fluctuates, the overall price does not. For instance, the total cost for 20 units is $720 ($36 x 20 units), and the total cost for 100 units is $720 ($7.2 x 100 units).

(b) The overall cost of the phone is mixed. On the basis of unit cost fluctuations, it may be claimed that the first 20 units have a fixed component and that subsequent 20 units have an equal distribution of fixed and variable costs.

(c) The price is vary. Supply costs are fixed regardless of quantity changes, and variable cost per unit is also fixed regardless of quantity changes that affect changes in the aggregate but not in the individual.

(d) The fact that the overall insurance cost remains constant as the quantity changes suggests that it is a fixed cost.

(e) Total salary expenses are mixed costs since they have a higher initial cost due to the inclusion of some fixed costs and ratio changes as a result of the addition of variable costs.

(f) Variable expenses, which rise in line with an increase in quantity, make up the entire cost of items sold.

(g) Depreciation is a fixed cost because, despite the fact that unit cost reduces as quantity increases, total cost remains constant.

(h) The total rent expense is constant despite changes in quantity, indicating that it is a fixed expense.

(i) The price of shopping bags is variable since the price and total fluctuate when the amount changes.

(j) Since individual unit expenses are constant per unit, the cost per unit of goods sold is variable.

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The write question is given below:

For the maximum area, the wire should be bent in the form of a circle and for the minimum area, the wire should bend into an equilateral triangle.

What is the area of any geometrical shape?

The area of a shape is the “space enclosed within the perimeter or within the boundary” of the given shape. We calculate the area for different shapes using math formulas.

Given that a piece of wire 10m long is cut into two pieces so now we have two wires with lengths of 5m and 5m.

One wire is bent into an equilateral so the perimeter of that triangle would be 3 m.

Perimeter = 3 m

3*side = 3 m

side = 1 m

Now the area of the equilateral triangle = [tex]A=\frac{\sqrt{3}}{4} $ $ \times $ (side)^2$[/tex]

                                                                   A = 0.4330 m² -----(I)

Now the circumference of the circle = 5 m

                     2π×r = 5

                      r = 5/2π

                      r = 0.7957 m.

Now the area of the circle = π×r²

                                           = 3.14 × (0.7957)²

                                           = 1.988 m² --------(II)

From (I) and (II), we can say that

Area of the equilateral triangle < Area of the circle

Hence, for the maximum area, the wire should be bent in the form of a circle and for the minimum area, the wire should bend into an equilateral triangle.

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The graph is in the image uploaded.

Given equation:

y = 3x

compare this with standard equation y =mx+b

slope m = 3

y intercept b = 0

so the point (0,0)

Table:

x         y

0        0

-1       -3

-2      -6

Graphing with above table.

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It is crystal size and rock texture.

Volcanic rocks are another name for extrusive rocks. According to their texture and mineral or chemical makeup, igneous rocks are categorized. The rate of cooling affects the texture of the rock. The crystals grow larger as the rock cools more slowly.

Thanks,

As the last answer for today.

Happy Thanksgiving

- Eddie E.

Answer:

y = 3x + 1

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

To learn how to draw a square with a compass, follow the steps below:

A square is a regular quadrilateral with four equal sides and four equal angles in Euclidean geometry. It is alternatively defined as a rectangle with two equal-length adjacent sides.

1. We begin with a provided line segment AB>, which will become one of the square's sides.

2. Move the AB line to the right.

3. Place the compasses on B and any suitable width. Draw an arc on each side of B, resulting in the points F and G.

4. Draw an arc above the point B with the compasses on G and any convenient width.

5. Place the compasses on F and draw an arc above B, crossing the preceding arc, and forming point H without changing the width of the compasses.

6. Make a line from B to H. Because this line is perpendicular to AB, the angle ABH is a right angle (90°); this will form the square's second side.

7.Place the compasses on A and adjust the width to AB. This width will remain constant as we design the other three sides of the square.

8. Draw an arc from point A to point B.

9. Move the compasses to point B without changing the width. Draw an arc over BH to create point C, the square's vertex.

10. Move the compasses to C without affecting the width. Draw an arc to the left of C across the existing arc, forming point D - the square's vertex.

11. Draw the CD and AD lines.

Now, ABCD is a square.

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As there is less ambiguity when the population's standard deviation is known, the z interval with a value of 2.57 is preferable (the interval is too wide).

However, there is more uncertainty when the standard deviation is unknown, thus the t interval of 1.96 is more reasonable (the z-interval is too small). A z interval is a special kind of confidence interval that provides a range of possible values for a given mean or proportion. It can be determined using a standard deviation that is known. Calculate a t-interval when you don't know the standard deviation but still need to obtain a confidence interval. The only difference is that the interval is calculated using a different table: a t-table for a t-interval and a z-table for a z-interval. For more on the exact distinctions between the “T” and “Z”, see: T-scores vs. Z-scores.

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The equation of line passes through (-6,1) and has slope 6 will be y=6x+37.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the line passes through (-6,1) and has a slope of 6,

The equation of line passes through (-6,1) and has slope 6 is found as,

y-y₁=m(x-x₁)

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

y-1=6(x+6)

y-1=6x+36

y=6x+36+1

y=6x+37

Thus, the equation of line passes through (-6,1) and has slope 6 will be y=6x+37.

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Answer:

3 : 2

Step-by-step explanation:

the ratio of

length : breadth

= 15 : 10 ( divide both parts by 5 )

= 3 : 2

Answer:

29/30

Step-by-step explanation:

29/30 as a percentage is %96.67 which is more than 90%

The slope of the line passing through the points (-2, 8) and (4, 6) is -1/3 .

We know that the slope of a line passing through two given points is calculated by the formula:

[tex]{\displaystyle m={\frac {y_{2}-y_{1}}{x_{2}-x_{1}}}.}[/tex]

Now the given points are (-2, 8) and (4, 6)

Hence slope = (6-8) / (4-(-2)) = -2/6 = -1/3

The slope of a line indicates its slope and direction. Finding the slope of lines in a coordinate plane can help predict whether two lines are parallel, perpendicular, or have no relationship at all without actually using a compass.

The slope of a line can be determined using any two distinct locations on the line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line. In this essay, we will understand the slope-finding method and its uses.

Therefore the slope of the line is -1/3

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From the given array and by division, we can say that; No, it would not be possible for the students to use 24 paper squares to make quilts with 5 rows of paper squares.

We are told that the students want to use 24 paper squares to make quilts with 5 rows of paper squares.

To get the number of possible rows they can make from this, what we need to do is to divide the number of required rows by the number of paper squares to the maximum number of paper squares for each row. Thus;

24/5 = 4.8

Thus, since it is 4.8 , it means that they would not have enough for five rows.

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By conducting simple mathematical operations, we know that Mark invested £18 each month for 2 years.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.

Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).

So, the amount Mark saved each month is:

The amount Mark gets after 2 years: £432

We know that 2 years has 24 months.

So we can write that:

The amount Mark gets after 24 years: £432

Amount Mark saved each month:

432/24

£18

Therefore, by conducting simple mathematical operations, we know that Mark invested £18 each month for 2 years.

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