SOLUTION
From the diagram, the total outcome is 4
Probability of spinning A is
\(\begin{gathered} \frac{possible\text{ outcome for A}}{\text{total outcome }} \\ \frac{1}{4} \end{gathered}\)Probability of spinning B is
\(\begin{gathered} \frac{possible\text{ outcome for B}}{\text{total outcome }} \\ \frac{1}{4} \end{gathered}\)So probability of spinning A or B becomes
\(\begin{gathered} \frac{1}{4}+\frac{1}{4} \\ \frac{2}{4} \\ =\frac{1}{2} \end{gathered}\)Hence the answer is
\(\frac{1}{2}\)A sampling frequency of 10 pixels per millimeter would produce how much spatial resolution?
A. 1 line pair per millimeter B. 5 line pairs per millimeter C. 10 line pairs per millimeter D. 20 line pairs per millimeter
A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of 5 line pairs per millimeter (B).
A sampling frequency of 10 pixels per millimeter would produce a spatial resolution of B. 5 line pairs per millimeter.
Here's a step-by-step explanation:
1. The sampling frequency is given as 10 pixels per millimeter.
2. According to the Nyquist-Shannon sampling theorem, the maximum spatial frequency (in line pairs per millimeter) that can be accurately represented is half of the sampling frequency.
3. Divide the sampling frequency (10 pixels per millimeter) by 2: 10/2 = 5 line pairs per millimeter.
So, the answer is B. 5 line pairs per millimeter.
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Write a mathematical equation to justify the mathematical statement given below. log
8
(1)=0 Let (x)=log
4
(x). Evaluate (1024). Hint: apply the definition of a logarithm Write a mathematical equation to justify the statement: ln(17)≈2.832.
The log 8(1) = 0Let x = log4(x) Evaluate (1024)We know that the logarithm of a number in a given base is the power to which the base must be raised to get the number.
For example, if the base is 2, then log2(8) = 3 because 23 = 8.
Using this definition, we can justify the statement log8(1) = 0 as follows:log8(1) = 0 because 80 = 1. This means that the power to which 8 must be raised to get 1 is 0.
Therefore, log8(1) = 0.Next, we have:x = log4(x) This means that 4 to the power of x equals x. We can solve for x as follows:4x = x4x - x = 0x(4 - 1) = 0x = 0 or x = 1Plugging in x = 1, we get:log4(1) = 1
This is true because 41 = 1. Finally, we can evaluate (1024) as follows:(1024) = (210)10 = 210·10 = 210+1 = 211This is true because 210 is the base-2 logarithm of 1024. Therefore, (1024) = 211.
Now, we need to write a mathematical equation to justify the statement ln(17) ≈ 2.832. To do this, we need to know the definition of the natural logarithm function, denoted as ln(x).
The natural logarithm of a positive number x is the logarithm of x in the base e, where e is a mathematical constant approximately equal to 2.71828. Therefore, we have ln(17) ≈ 2.832 because e2.832 ≈ 17.
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Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
The solution of the system of equations from the graph is x = 2.
What is point of intersection?The point of intersection formula is used to determine where two lines meet, or the point at which they intersect. In Euclidean geometry, the intersection of two lines can be either an empty set, a point, or a line. Two lines must meet certain requirements in order to intersect, including being in the same plane and not being skew lines. The intersection of these lines may be determined using the intersection formula.
The solution of the system of equations can be determined from the graph by determining the point of intersection between the two lines.
From the graph we observe that the point of intersection of the two lines is at (0, 2).
Hence, the solution of the system of equations is x = 2.
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Which question below is a Statistical Question?
A. How many students have a cell phone?
B. How many months are in a year?
C. How tall are the students in your class?
D. What is for lunch today?
Answer:
C
Step-by-step explanation:
I chose C because it more detailed than the rest of the question. Everyone already knows how many months are in a year. What is for lunch today is just a normal question. How many students have a cell phone was not really detailed but it would have been different if they said "How many percentage of college students in math class uses cell phones.
Hope this helps:)
What is the area of a circle with the radius of 16 meters?
Answer: 804 meters
Step-by-step explanation:
Area of a circle = πr²
Radius = 16m
π(16)² = 804.2477193 meters
2. Similar rectangles have widths of 10 cm and 15 cm respectively. If the smaller rectangle's length is 18, what is the larger rectangle's length?
Answer:
8
Step-by-step explanation:
10/15=0.66666666666
0.66666666666 times 12 = 8 or the missing length
So the answer is 8 :)
Solve for x.. helppp!
Answer: x = 7
====================================================
Work Shown:
The third unmarked angle is (9x-25) because the base angles are congruent. Recall the base angles are opposite the congruent sides in an isosceles triangle. The congruent sides are shown with the tickmarks.
Add up the three angles, set the sum equal to 180, and solve for x
(9x-25)+(9x-25)+(104) = 180
18x+54 = 180
18x = 180-54
18x = 126
x = 126/18
x = 7
which statement best describes this regression (y = highway miles per gallon in 91 cars)?
A)Statistically significant but large error in the MPG predictions
B)Statistically significant and quite small MPG prediction errors
C)Not quite significant, but predictions should be very good
D)Not a significant regression at any customary level of α
Based on the given options, the statement that best describes the regression cannot be determined without additional information.
The options do not provide any details about the regression coefficients, R-squared value, or p-values, which are necessary to make a meaningful statement about the regression. It is not possible to determine the quality of the predictions or the significance of the regression based solely on the dependent variable and sample size.
Your answer: B) Statistically significant and quite small MPG prediction errors
This option best describes a regression with a strong relationship between the independent variable (e.g., car characteristics) and the dependent variable (highway miles per gallon). The statement suggests that the model is statistically significant, meaning it can reliably predict MPG, and the prediction errors are small, indicating good accuracy in the predictions.
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So, what is the pattern? For positive integers a and b: (x^a)^b
Answer: (x^b)^a
Step-by-step explanation:
the inverse of a monomial with an exponent raised to another power will give the same product if you flip the exponents.
Here we have a general rule for exponents.
We will find that:
\((x^a)^b = x^{a*b}\)
To get this, we can first check it with some values for the exponents.
a = 2
b = 3
\((x^2)^3 = (x^2)*(x^2)*(x^2) = (x*x)*(x*x)*(x*x) = x^6 = x^{2*3}\)
Similarly, we can prove it for two general values of a and b:
\((x^a)^b = (x^a)*(x^a)*...*(x^a)\\b\ times\)
Now each one of these parentheses has a multiplying by itself a times.
So when we write all the x's, we will see that there are a total of b*a x's
Thus we will have:
\((x^a)^b = (x^a)*(x^a)*...*(x^a) = x^{a*b}\)
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lynn has 19 songs in her favourite playlist. hazel has eight more songs than lynn in hers. how many songs are in hazel's favourite playlist
When θ = 28° , which equation can be ued to find the ditance from point A to point B?
Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.
Diagram is attached.
As given in the question,
Diagram is attached.
Given angle θ = 28°
Hypotenuse = x
Two points A and B is on the base
Base - length = AB
In the given triangle,
Equation represents the distance between two points is:
cosθ = base / hypotenuse
⇒ cos 28° = AB / x
⇒ AB = x cos 28°
Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.
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Solve for x, I'm confused
\([Hello,BrainlyUser]\)
Answer:
x = 22
Step-by-step explanation:
Knowing that it a supplementary angle = 180 degree
It a right angle therefore it makes that 90 degree
Thus,
The 2 equation is
4x + 2 = 90
3x + 24 = 90
Let first solve this one
4x + 2 = 90
Subtract 2 from both sides
4x + 2 - 2= 90-2
Simplify
4x = 88
Divide both sides by the same factor
4x/4 = 88/4
Simplify
x = 22
Now the second equation:
3x + 24 = 90
Subtract 24 from both sides
3x + 24 - 24 = 90 -24
Simplify
3x = 66
Divide both sides by the same factor
3x/3 = 66/3
Simplify
x = 22
Hence, x = 22.
[CloudBreeze]
How to simplify it as a fraction?
0.7 bar can be expressed as 7/9 in fraction.
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.
In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.
Part of a whole number and a means of dividing a number into equal parts are represented by fractions. The numerator, also known as the number of equally divided parts, is how it is written.
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What is the law of large numbers?
If you were using the relative frequency of an event to estimate the probability of the event, would it be better to use 100 trials or 500 trials? Explain.
The Law of Large Numbers is a fundamental concept in probability theory and statistics stating the number of trials of a random event increases, the average of the outcomes approaches the expected value of the event. It's better to use 500 trials.
In other words, as we repeat an experiment a large number of times, the proportion of times that a certain outcome occurs will converge to its probability of occurrence. This is an important concept in statistical inference, as it helps to ensure that the results of a sample are representative of the population from which it was drawn.
Now, if you were using the relative frequency of an event to estimate the probability of the event, it would be better to use 500 trials rather than 100 trials. The reason is that the larger the number of trials, the more accurate the estimate of the probability is likely to be.
Using a larger sample size reduces the impact of random variation and provides a more precise estimate of the true probability. The Law of Large Numbers tells us that as the sample size increases, the relative frequency of the event should converge to the true probability, so a larger sample size will generally give a more reliable estimate
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which is closer to 0 3/8 or -1/3
Answer:
3/8
Step-by-step explanation:
Answer:
3/8 = 9/24
1/3 = 8/24
-1/3 is closer to 0
3/8 is farther from 0
What is y=4(a)+b
When a=7 and b=2
What is a and b
Answer: You have awnsered a & b, but when you fill out the equation, you get y=30.
Step-by-step explanation:
* y= 4(7) + 2
* y= 28 + 2
* y= 30
What is the equation for -2 = m divided by 16
Answer:
-2 = \(\frac{m}{16}\) or \(\frac{m}{16}\) = -2
Step-by-step explanation:
Prove 2 triangles formed by a diaganol in a rectangle are congruent
On solving the provided question, we can say that, by SAS congruency both triangle are congruent
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
2 triangles formed by a diagonal in a rectangle are congruent
since two sides are equal
and, each angle is 90 on bisect from it's 45 each
so, two sides of both triangles are equal
and one angle from both triangle are equal
then, by SAS congruency both triangle are congruent
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Dovecreek Manufacturing has two facilities that manufacture tents. Each facility produces both the Expedition tent and the
Excursion tent. The daily production labor hours for each department are given in the following two matrices.
Delores Plant
Cortez Plant
Expedition Excursion
Expedition Excursion
Sewing
45
60
Sewing
54
72
(
1
1
Assembly
72
108
Assembly
63
104
Which of the following matrices shows the combined daily labor hours for each department from both facilities?
OA.
99 132
135 167
ОВ.
105 180
126 212
C.
117 168
117 176
99 132
135 212
Answer:
dts on sundar
Step-by-step explanation:
how does one do this equasion 6234653928+294292342-424624642x16515615615165161x1156+6466456
The given Expression simplifies to -8.1069556e+27
What is BODMAS rule?BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction. A mathematical expression's order of execution is explained using the BODMAS.
Given an equation to solve,
6234653928 + 294292342 - 424624642 x 16515615615165161 x 1156 + 6466456
Let us consider this Expression as A + B - C * D * E + F, with the corresponding terms being equal
By, the BODMAS rule,
First step: Multiply C, D, E. Let this be G
Now, the equation will look like this: A + B - G + F
Second step: We can add and subtract according to the signs now
On solving, the expression simplifies to -8.1069556e+27
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Use the ALEKS calculator to approximate √68.
Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
1\
\
The circumference of a circle is defined by the formula C = 2πr. What
formula should Harry use to find the radius if he knows the circumference?
Answer:
r = c/2π
Step-by-step explanation
2πr = C
move 2π to the other side it will become division as 2π is multiplying r
r = C/2π
The roof of the shed will be constructed so that the ridgeline runs parallel to the longest side of the shed. The bottom chord of each roof truss will be 18 feet long. The pitch of a roof is the slope of the slanted portion. It is given as a ratio. Your classmate Darin used the Roof Truss Diagram on the left of your screen to determine the pitch of the roof. Here are his calculations: tan (27 deg) = 0.5095 The pitch of both sides of the roof is close to 1/2 Darin is correct . What logical assumption did Darin make about the Roof Truss Diagra
The logical assumption that Darin make about the Roof Truss Diagram is that the rise is 4.6 ft and the run is 9 feet.
How to explain the informationBased on the information provided, it appears that Darin assumed that the Roof Truss Diagram is symmetrical, meaning that both sides of the roof have the same dimensions and angles. This assumption is supported by his calculation that the pitch of both sides of the roof is close to 1/2.
Rise will be:
= 9 × tan 27°
= 9 × 0.5095
= 4.6 feet.
Run will be 9ft
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If two parallel lines are cut by non-perpendicular transversal, which type of angles are NOT congruent?
The linear function m = 50 - 9d represents the amount m (in dollars) of money you have
left after buying d DVDs.
a. Interpret the terms and coefficient in the equation.
b. Find the domain of the function. Is the domain discrete or continuous? Explain.
c. Graph the function using its domain.
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
How can you tell whether a domain is continuous or discrete?A domain's discreteness or continuousness can be determined by examining the function's graph. The domain is continuous if the graph is a line. The domain is discrete if the graph consists of a collection of points.
What is a discrete domain example?Private Domain
The values that will be effective for the function are distinct from one another. The maximum number of children you can have, for instance, has a defined answer. You can have 0 children, 1, 2, 3, etc., but not 2,34.
How can you determine a discrete function's domain?Discrete graphs are those in which no lines connect the points. Start by locating all the x-coordinates in order to determine the domain and range of a discrete graph. The graph's entire set of x-coordinates makes up the domain. The graph's entire range of y-coordinates is considered to be the range.
What does a discrete structure's domain mean?The domain is the collection of all possible inputs for a function. The codomain is the collection of all permitted outputs.
What is an example of discrete structures?Graphs, logical assertions, and combinations are a few examples of discrete structures. Infinite or finite discrete structures are both possible. Contrary to continuous mathematics, which works with structures whose values can span the real numbers or have other non-separable qualities, discrete mathematics deals with discrete objects.
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If the walls in a room measure 1604ft
2
in area, and a gallon of paint covers exactly 19 square yards, how many gallons of paint are needed for the room? Use the correct number of sig figs in your answer and show all work for full credit.
Approximately 9.38 gallons of paint are needed for the room. we can convert the area to square yards and then divide it by the coverage of one gallon of paint, which is 19 square yards.
First, we need to convert the area of the room from square feet to square yards. Since 1 yard is equal to 3 feet, 1 square yard is equal to (3 ft)^2 = 9 square feet. Therefore, the area of the room in square yards is 1604 ft^2 / 9 ft^2 = 178.22 square yards.Next, we divide the area in square yards by the coverage of one gallon of paint, which is 19 square yards. This will give us the number of gallons of paint needed 178.22 square yards / 19 square yards/gallon = 9.37789474 gallons. Rounding the answer to the appropriate number of significant figures, we find that approximately 9.38 gallons of paint are needed for the room.
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Is the answer to this 4?
Answer:
Yes, but make sure to check with another person to double check.
Good job ;)
Step-by-step explanation:
(None)
how does the structure and function of groups change as they grow in size?
As groups grow in size, their structure and function tend to change. The larger the group, the more complex its structure becomes. For example, there may be more formal roles and responsibilities, as well as more rules and regulations to manage the larger number of individuals involved.
The function of the group may also change as it grows in size. In smaller groups, there may be more flexibility and autonomy for each member, with a greater emphasis on collaboration and shared decision-making. However, in larger groups, there may be a need for more hierarchical structures and centralized decision-making processes to manage the increased complexity and diversity of perspectives. Overall, the size of a group can have a significant impact on its structure and function, with larger groups often requiring more formalized and hierarchical structures to manage their complexity and diversity of perspectives. Generally, larger groups require more complex structures and may have more specialized functions.
1. Structure: As groups grow in size, they often transition from informal, loosely organized structures to more formal, hierarchical structures. This may involve the establishment of distinct roles, responsibilities, and communication channels to ensure effective coordination among group members.
2. Function: The functions of a group often become more specialized and diverse as the group grows. Smaller groups may have members with overlapping roles and responsibilities, whereas larger groups may divide tasks among members, allowing for increased specialization and expertise in specific areas.
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How to convert 38 cm to inches?
Answer:14.9606
Step-by-step explanation:
38 cm = 14.9606 inches
How much is one centimeter in inches?
One inch is equivalent to 2.54 centimeters, and one centimeter is equal to 0.393701 inches, according to the conversion between the two units.
Exactly how big is one inch?
A yard and a foot are equivalent to an inch. A metric inch is precisely 2.54 centimeters. One whole inch is made up of two half inches and four quarter inches.
What is a inch ?
The British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′).
What is a centimeter ?
The International System of Units' centimeter (SI symbol cm), sometimes known as a centimeter (international spelling) or centimeter (American spelling), is a unit of length (SI)
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Please help ill give u a ( b r i l l i a n t)
Answer:
1.
\( \frac{91}{2} \)
2.
\( \frac{121}{4} \)
3.
\( \frac{226}{3} \)
Step-by-step explanation:
1.
\( \frac{4}{1} \times \frac{5}{1} \\ 4 \times 5 \\ 20\)
2.
\( \frac{3}{4} \times \frac{7}{6} \\ 18 \times 28 \\ 504\)