Answer:
The order of rotational symmetry of the wheel is;
C) 12
Step-by-step explanation:
The order of rotational symmetry of a shape is given by the sum of the times the shape can by rotated round 360° and still appears to be exactly the same as it was before being rotated
The given wheel has 6 pairs of similar in-line spokes such that there are a total of 12 spokes
The wheel looks the same each time the next spoke moves to the position of the previous spoke
Therefore, the number of times the wheel looks exactly the same while turning 360° is 12 times
Therefore, the order of rotational symmetry of the wheel = 12.
A bag cohtains 4 red marbles, 5 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?
Answer:
5/12
Step-by-step explanation:
total number of marble is 12 total number of blu is 5
Answer:
12.5%
Step-by-step explanation:
you have 7 reds of 14 total.
the 1st marble has 7 of 14 probability of being red
the 2nd has 6 of 13 of being red
the 3rd has 5 of 12 of being red
multiplying this out you have:
(7/14)*(6/13)*(5/12)=210/2184
THAT will condense down to 5/52 or 9.615%
this does assume not placing the balls back in between draws
if you do put them back in between draws you would have 7 of 14 chance each draw
that would give you by multiplying out
(7/14)*(7/14)*(7/14)=343/2744
that condenses to 1 of 8 or 12.5%
You buy $g$ gallons of gasoline at $2.37 per gallon and pay $21.33. Write an equation to find the number of gallons purchased. Then find the number of gallons of gasoline that you purchased.
Answer: 21.33 / 2.37=9
Step-by-step explanation: this equation works because you are finding how many times the one gallon payment can be paid, and the answer you get is how many gallons you use.
The following is a list of weights for 6 bags of potatoes.
21 pounds, 28 pounds, 32 pounds, 25 pounds, 40 pounds, 24 pounds
The median weight of the bags of potatoes is 26.5 pounds.
What would happen to the median weight if a 60-pound bag was included in the list?
O A. The median would decrease.
OB. The median would increase.
O C. The median would stay the same.
O D. The median would increase, then decrease.
Median of weight of the bags of potatoes if a 60-pound bag was included in the list is 28 pounds.
How to find median?
If the number of observations is odd, the number in the middle of the list is the median. This can be found by taking the value of the (n+1)/2 -th term, where n is the number of observations.
Else, if the number of observations is even, then the median is the simple average of the middle two numbers.
According to the given question:
List of weights for 6 bags of potatoes is 21, 28, 32, 25, 40, 24.
Median weight of the bags of potatoes is 26.5 pounds.
If a 60-pound bag was included in the list, the new list will be
21, 28, 32, 25, 40, 24, 60
Arranging the list in ascending/descending order
21, 24, 25, 28, 32, 40, 60
Now, the number of terms is odd
∴ Median = (n+1)/2 th term
= (7+1)/2 th term
= 8/2 th term
= 4 th term
= 28 pounds
Hence Median of weight of the bags of potatoes if a 60-pound bag was included in the list is 28 pounds.
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For the function f whose graph is given, state the following. (a) lim f(x) X-2 -2 (b) lim f(x) = x→-1 (c) lim f(x) x--1+ X (d) lim f(x) X-00 X (e) lim f(x) 2 (f) The equations of the asymptotes X =
The function f has a limit of -2 as x approaches 2. The limit of f as x approaches -1 does not exist. The limit of f as x approaches -1 from the right is positive infinity, and as x approaches -1 from the left is negative infinity. The limit of f as x approaches positive infinity is positive infinity. The limit of f as x approaches 2 is 2. The equations of the asymptotes are x = 2 and y = -1.
(a) The limit of f(x) as x approaches 2 is -2. This means that as x gets arbitrarily close to 2, the value of f(x) approaches -2.
(b) The limit of f(x) as x approaches -1 does not exist. This indicates that as x approaches -1, f(x) does not approach a specific value, and the behavior of the function is unpredictable in this case.
(c) The limit of f(x) as x approaches -1 from the right is positive infinity. This means that as x approaches -1 from values greater than -1, f(x) increases without bound. The limit of f(x) as x approaches -1 from the left is negative infinity, indicating that as x approaches -1 from values less than -1, f(x) decreases without bound.
(d) The limit of f(x) as x approaches positive infinity is positive infinity. This means that as x becomes larger and larger, f(x) also becomes larger without bound.
(e) The limit of f(x) as x approaches 2 is 2. As x gets arbitrarily close to 2, the value of f(x) approaches 2.
(f) The equations of the asymptotes are x = 2 and y = -1. The vertical asymptote is x = 2, indicating that the graph approaches but never touches the vertical line x = 2. The horizontal asymptote is y = -1, which means that as x approaches positive or negative infinity, the graph approaches but never reaches the horizontal line y = -1.
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What is the GCF of xy10,x4 y6, x9 y9, and x10 y10? A. xy B.xy6 C.x4 y4 D. x4 y6
Answer:
xy6
Step-by-step explanation:
The child has been diagnosed with rickets. The child’s mother is educated about the importance of providing the child with 10 micrograms (400 International Units) of an oral vitamin D supplement each day. The child’s mother purchases over-the-counter vitamin D drops. The supplement is noted to contain 5 mcg of vitamin D in each 0.5 mL. How much of the supplement should the mother administer to the child each day? Record your answer using one decimal place.
Answer:
1.0 mL each day
Step-by-step explanation:
The required daily dosage of vitamin D is 10 micrograms.
The supplement contains 5 micrograms per 0.5mL.
The volume of supplement necessary to fulfill the daily requirements of vitamin D is:
\(V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL\)
She should administer 1.0 mL of the supplement each day.
The average person eat 60 hot dogs per year. Rita is 86 years old. About how many hot dogs would she have eaten during her lifetime
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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Will name BRAINLIEST TIMED!!
“Any number times zero equals zero” is a verbal description of what property?
A. the Commutative Property
B. the Distributive Property
C. the Associative Property
D. the Zero Property
Answer:
A. the Commutative Property
Step-by-step explanation:
D doesn't exist
C is wrong and so is B.
Answer:
the Zero Property
Complete the missing information in the puzzle. (Last one 1.4)
The missing information in the puzzle
1) 12
2) 2y
3) 12+ 2y
4) 12+ 2y
What are puzzles ?
puzzle, a problem that may take many forms, including games and toys, and is solved through knowledge, ingenuity, or other skills. The solver of a puzzle must arrive at the correct answer, or answers, by thinking or putting pieces together in a logical way.
The puzzle one)
1st block: 4a
2nd block: -20
Hence , the missing information in the puzzle
1) 12
2) 2y
3) 12+ 2y
4) 12+ 2y
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What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
Jim is 9 years older than June. Alex is 8 years younger than June. If the total of their ages is 82, how old is the eldest of them?
Answer:
Jim + June + Alex = 82 (x+9) x + (x-8) = 82 3x +1 = 82 3x = 82 - 1 = 81 x = 81/3 = 27. ANSWER. June is 27 years old; Jim is 27+9 = 36 years old; Alex is 27-8 = 19 years old.
Why do most student loans involve a co-signer?
a.
Most students won’t be able to afford paying for their loans, and leave that responsibility to their co-signers.
b.
Co-signers were most likely college students themselves and understand what it is like to be a college student.
c.
Most students aren’t responsible enough to know much about any type of loans, so a co-signer is there to make sure everything is secure.
d.
Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
The correct statement is Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
What is loan?A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.
Students need cosigners in order to qualify for a student loan or student loan refinance. This is because many students don't have an extensive credit history of their own. The other person cosigns the loan application so that the lender will consider their credit and income as well as yours.
Hence, Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.
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Given that y-2=6, find y+4
\(\huge\red{\boxed{Answer}}\)
Given:
y - 2 = 6To find:
y + 4Solution:
find y⇛y - 2 = 6
⇛y = 6 +2
⇛y = 8
substitute 8 in place of y
⇛y + 4
⇛8 + 4
⇛12
12 is the answer
.
Consider the system of equations: kx +9y = 1 For which values of k does the system above have a unique solution? (A) All k #0 (B) All k #3 (C) All k + -3 (D) All k #1 (E) All k + -1
The system of equations given by kx + 9y = 1 will have a unique solution for all values of k except k = 0.
To determine the values of k for which the system has a unique solution, we need to consider the coefficient of the x-variable, which is k. For a unique solution, the coefficient k should not be equal to zero.
If k = 0, the equation becomes 0x + 9y = 1, which simplifies to 9y = 1. This equation represents a line parallel to the x-axis, and any value of y will satisfy it. Therefore, there is no unique solution in this case.
For all values of k that are not equal to zero, the system will have a unique solution because the x-variable will have a non-zero coefficient, allowing us to uniquely determine its value based on the given equation.
Hence, the correct answer is (A) All k ≠ 0.
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HELP PLEASE 100 POINTS
Answer:
Density has the units of mass divided by volume such as grams per centimeters cube (g/cm3) .
Option 4) is the right answer.
Lucy brought 2 3/4 batches of cookies to share
with her coworkers. By the end of the day 5/6
had been eaten. How many of the cookies
are left?
Marisol rode her bicycle each day for five days.
Estimate how far she biked in all. Round each
number to the nearest whole number.
12+__+18+__+__=___
She biked about _____
miles.
Answer:
The answer is 71 miles
Step-by-step explanation:
According to the decimal rule, the Monday's 12.3 will be rounded off to 12,Tuesday 14.1 will be rounded off to 14, Wednesday 17.7 will be rounded off to 18 as .7 is greater than .5,Thursday 11.8 is rounded off to 12 and Friday to 15
To calculate how far she biked in all in five days we add all the distances she covered every day.So,
12 miles+14 miles+18 miles+12 miles+15 miles= 71 miles.
Answer:
71 miles
Step-by-step explanation:
The mileage of each day is,
Monday = 12 Tuesday = 14 Wednesday = 18Thursday = 12 Friday = 15Then the total miles will be,
→ 12 + 14 + 18 + 12 + 15
→ 71 miles
Hence, she biked 71 miles.
The cereal box shown below is a rectangular prism.
Find the surface area of the cereal box.
Answer:
i am pretty sure the total surface area is 580
The surface area of a cereal box is; 580 square units, if the height is 20 the width is 3 and the length is 10.
What is the surface area of the rectangular prism?L = length = 10 cm
H = height = 20 cm
W = Width = 3 cm
A(1) = L×H×B
Thus, Formula to calculate the surface area of the rectangular prism,
A(1) = 2 ( 30 + 60 + 200 )
A = 580 square units
Surface Area = 580 cm²
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The number of users on a website is 3700 and is growing exponentially at a rate of
82% per year. Write a function to represent the number of users on the website after t
years, where the monthly rate of change can be found from a constant in the function.
Round all coefficients in the function to four decimal places. Also, determine the
percentage rate of change per month, to the nearest hundredth of a percent.
Answer:
3034 I think
Step-by-step explanation:
3034 I think because if u multiply 3700 times 0.82 give you 3034
The percentage of Exponentially growing rate is 3034.
The Exponential function is used to represent the number of users on the website after "t" years, f( t ) = (2.27).γ^t/t!.
What is Exponential function?Exponential function in a Mathematics is a relation of the form y = aˣ, with the independent variable "x" ranging over the entire Real Number line as Exponent of a positive number "a".
The number of users on a website is (n) = 3700
Growing Exponentially at the rate of 82% per year
Exponential Function to represent the number of users on the website after t years and also percentage rate of change per month.
(1)Exponential Function to represent the number of users on the website after t years.
we have that, the number of users on a website is (n) = 3700
Growing exponentially at the rate of 82% per year.
λ = \(\frac{82}{100}\) = 0.82.
Exponential Function Formula; f(x) = (e^(-γ) γ^x)/x!
f( t ) = (2.27).γ^t/t!
(2) The percentage of rate Exponential growth change per month
3700 × 0.82 = 3034.
converting into percentage
= \(\frac{3034}{100}\) = 30.34%.
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Realy need help if you help thank you so much
Answer:
B
Step-by-step explanation:
Rate, in this case, is mph which can be written as miles/hours.
HTH :)
A landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $30 per foot and on the other three sides by a metal fence costing $10 per foot. If the area of the garden is 450 ft2, find the dimensions of the garden minimizing the cost.
The dimensions that minimize the cost are x ≈ 13.42 ft and y ≈ 33.58 ft.
We are given that;
Brick wall costing= $30
Area= 450ft^2
Now,
To find the critical points, we take the derivative of C and set it equal to zero:
C’ = 50 - 9000/x2 C’ = 0 50 - 9000/x2 = 0 9000/x2 = 50 x2 = 9000/50 x2 = 180 x = ±√180 x ≈ ±13.42
Since x must be positive, we only consider x ≈ 13.42 as a critical point. To check if this is a minimum or maximum, we can use the first derivative test or the second derivative test. Using the second derivative test, we find:
C’’ = 18000/x3
Since x ≈ 13.42 is positive, C’’ > 0 at this point, which means C has a local minimum at x ≈ 13.42.
To find the absolute minimum, we also need to evaluate C at the endpoints of its domain:
C(0) = undefined C(450) = 50(450) + 20(1) = 22520
So, C has an absolute minimum at x ≈ 13.42 with a value of:
C(13.42) ≈ 50(13.42) + 20(33.58) ≈ $1,337
To find the dimensions of the garden that minimize the cost, we use y = 450/x and plug in x ≈ 13.42:
y ≈ 450/13.42 y ≈ 33.58
Therefore, by area the answer will be x ≈ 13.42 ft and y ≈ 33.58 ft.
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Suppose that public opinion in a large city is 65 percent in favor of increasing taxes to support the public school system and 35 percent against such an increase. If a random sample of 500 people from this city are interviewed, what is the approximate probability that more than 200 of these people will be against increasing taxes
According the question The approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.
Given:
- Sample size (n) = 500
- Probability of being against increasing taxes (p) = 0.35
- Probability of being in favor of increasing taxes (q) = 1 - p = 0.65
Mean (μ) and standard deviation (σ) of the binomial distribution:
\(\[\mu = n \cdot p = 500 \cdot 0.35 = 175\]\)
\(\[\sigma = \sqrt{n \cdot p \cdot q} \approx \sqrt{500 \cdot 0.35 \cdot 0.65} \approx 10.95\]\)
To find the probability of more than 200 people being against increasing taxes, we can use the normal approximation to the binomial distribution. Let's calculate the Z-score:
\(\[Z = \frac{{X - \mu}}{{\sigma}} = \frac{{200 - 175}}{{10.95}} \approx 2.28\]\)
Using a standard normal distribution table or calculator, we find that the probability of \(Z > 2.28\) is approximately 0.0114.
Therefore, the approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.
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find the general solution of the given second-order differential equation. y'' − 9y' 8y = 0
y(x) = C1 * e^(8x) + C2 * e^(x) is the general solution of the given second-order differential equation y'' - 9y' + 8y = 0.
To find the general solution of the given second-order differential equation y'' - 9y' + 8y = 0, we will first find the characteristic equation and its roots, and then form the general solution using the terms you provided.
Step 1: Write the characteristic equation.
For the given equation y'' - 9y' + 8y = 0, the characteristic equation is:
r^2 - 9r + 8 = 0
Step 2: Factor the characteristic equation.
(r - 8)(r - 1) = 0
Step 3: Find the roots of the characteristic equation.
r1 = 8
r2 = 1
Step 4: Form the general solution using the roots.
Since we have two distinct roots, the general solution will be in the form:
y(x) = C1 * e^(r1 * x) + C2 * e^(r2 * x)
Plugging in the roots, we get:
y(x) = C1 * e^(8x) + C2 * e^(x)
This is the general solution of the given second-order differential equation y'' - 9y' + 8y = 0.
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solve
12 1/2-(-4 1/2)=
Answer:
17
Step-by-step explanation:
12½ - (-4½)
12½ + 4½
17
hope it helps!
we have to convert the mixed fractions to improper fraction and do the arithmetic as follows:
\(\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}=\frac{34}{2} =17\)
\(12\frac{1}{2} -(-4\frac{1}{2} )=?\)
How to add/subtract fractional numbers?The fractions are represented in mix fractions. Therefore, let's convert it it to improper fractions before doing the arithmetic.
\(12\frac{1}{2} = \frac{25}{2}\)
\(-4\frac{1}{2} = -\frac{9}{2}\)
Therefore,
\(\frac{25}{2}-(-\frac{9}{2} ) =\frac{25}{2} +\frac{9}{2}\)
Note - × - = +
Therefore,
\(\frac{25}{2} +\frac{9}{2} =\frac{25+9}{2}\)
\(\frac{25+9}{2} = \frac{34}{2}=17\)
Therefore, the arithmetic is 17
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Which data set has the greatest sample standard deviation? A. Data set (ii), because it has two entries that are far from the mean. B. Data set (i), because it has more entries that are close to the mean. C. Data set (iii), because it has more entries that are farther away from the mean.
Data set (ii) because it has two entries that are far from the mean. the deviations from the mean are smaller,
The sample standard deviation measures the dispersion or spread of data points in a data set. To determine which data set has the greatest sample standard deviation, we need to consider the distribution of values relative to the mean.
In data set (ii), which has two entries that are far from the mean, the presence of these outliers can significantly increase the sample standard deviation. Outliers are data points that deviate significantly from the majority of the data, and their inclusion in a data set can inflate the standard deviation.
This is because the standard deviation calculates the average distance between each data point and the mean, and outliers contribute to larger distances.
Data set (i), on the other hand, having more entries that are close to the mean, suggests a more concentrated or clustered distribution of values.
When data points are closer to the mean, the deviations from the mean are smaller, resulting in a smaller standard deviation compared to a data set with outliers.
Data set (iii), with more entries that are farther away from the mean, may also have a higher sample standard deviation. However, without specific information about the magnitude of these deviations and the overall distribution of values,
we cannot definitively conclude that data set (iii) has the greatest standard deviation. Therefore, based on the information provided, the data set (ii) with two entries that are far from the mean is likely to have the greatest sample standard deviation.
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If i have 2 lemons and i give 1 away. how many do i have now?
the ratio of dividends to the average number of common shares outstanding is:
The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.
To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.
For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.
In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.
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the region r is bounded by the x-axis, x = 0, ,x=2pi/3 and y=3sin(x/2). find the area of r
The region is bounded by the x-axis x=0, x=2pi*/3 and y= 3sin(x/2) is pi/3.
To find the area of region r, we first need to sketch the region on the x-y plane. From the given information, we know that the region is bounded by the x-axis, the line x=0, the line x=2pi/3, and the curve y=3sin(x/2). To sketch the curve, we can start by noting that sin(x/2) is a periodic function with period 2pi. This means that the curve will repeat itself every 2pi units on the x-axis. We can also note that sin(x/2) is non-negative for x in the interval [0, 2pi], which means that the curve will lie above the x-axis in this interval. To sketch the curve in the interval [0, 2pi/3], we can use the fact that sin(x/2) is increasing on this interval. This means that the curve will start at the point (0,0) and increase until it reaches its maximum value of 3sin(pi/6) = 3/2 at x=pi/3. The curve will then decrease until it reaches the x-axis at x=2pi/3.
Using this information, we can sketch the region r as a triangle with base 2pi/3 and height 3/2. The area of this triangle is given by:
area = 1/2 * base * height = 1/2 * (2pi/3) * (3/2) = pi/3
Therefore, the area of region r is pi/3.
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a plant in alamo, tn, manufactures complex transformer components that must meet specific guidelines for safety. one such component is constructed to deliver 1,000 volts of electricity. a component creates a critical safety hazard if it absorbs humidity at a level above 3%. any components that absorb too much humidity will be destroyed. a quality control inspector uses a random sample of components to conduct a hypothesis test with h0: the humidity level absorbed is 3%, and ha: the humidity level absorbed is more than 3%. what is the consequence of a type ii error in this context?
A type II error in this context would be when the inspector incorrectly fails to reject the null hypothesis (H0), meaning they accept the null hypothesis that the humidity level absorbed is 3% when it is actually more than 3%.
What is hypothesis test?A hypothesis test is a statistical procedure used to evaluate a hypothesis by using sample data. Brainly experts can use hypothesis tests to verify the accuracy of their answers by collecting sample data, analyzing it and making a conclusion. Hypothesis testing involves formulating a null and alternate hypothesis, generating a test statistic, and using the test statistic to make a decision. Brainly experts can use hypothesis testing to check the validity of their answers and to ensure that they are providing accurate information to their users.
This type of error would result in potentially hazardous components being approved for use and could lead to catastrophic accidents. In other words, if the inspector fails to reject H0 when it is false, it could lead to unsafe components being used and put the health and safety of people in danger.
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