Answer:
The corresponding height of the triangle is \(1.2\)
Step-by-step explanation:
We have\(\Delta ABC\)
Here \(AD\) is the height
We need to draw perpendicular from \(A\) to \(BC\)
The distance from the point \((m, n)\) to the line \(A x+B y+C=0\) is given by:
\(d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\)
First let us calculate equation of \(BC\)
\(y-y_1=m(x-x_1)\\\\y-2=\frac{2--1}{3--1} (x-3)\\\\y-2=\frac{3}{4} (x-3)\\\\4y-8=3x-9\\\\3x-4y=1\)
Now distance from \((-1,1)\) to \(3x-4y-1=0\) is
\(d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\\\\=\frac{|3 \times1+-4\times-1-1|}{\sqrt{3^{2}+(-4)^{2}}}\\\\=\frac{6}{5}\\\\=1.2\)
7) For the chool fleld trip to the mueum 40 boy and 56 girl wil plit up into group. Each group wilhave the ame number of boy and girl. What I the greatet number of group that can be formed? How many boy and girl will be in each of thee group?
what is the correct way to measure the zone of inhibition?
The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.
What is Area?Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.
The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.
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need help pls!!!!!!!!!!
Answer: 4 side faces and one base faces I believe im sorry times a 100 if its wrong
Step-by-step explanation:
to go to the school football game a student would pay $2.00 for each drink purchased write an expression for the cost of d drinks
Answer:
2d
Step-by-step explanation:
Which expression is equivalent to
(32)?
081
0-12
0 0
1
81
12
Answer:
c
Step-by-step explanation:
1/81
(1/9)^2
Thanks me later ☺️
The two-way table shows the number of students in a class who play basketball and/or football. Play Basketball Do Not Play Basketball Total Play Football 30 ? 40 Do Not Play Football 8 6 14 Total 38 16 54 What is the missing number in the table? (5 points) 2 10 34 46
Answer:
2
Step-by-step explanation:
The total number of students who play football is given as 40 in the table. We can find the missing number by subtracting the total number of students who play basketball (38) from the total number of students who play football:
Total number of students who play football - Total number of students who play basketball = Missing number
40 - 38 = 2
Therefore, the missing number in the table is 2.
Answer:
its 40
Step-by-step explanation:
1. the answer above was careless and did not take there time to get the right answer for you I apologize in advance.
2. I Just took the test and got this correct.
3. if you look at the total for both sections on the bottom you can its the the number of the players who did and not play basketball added up. Best of luck to you.
How much can be placed on a circular serving tray that has a diameter of 18 in? Leave answer in terms of pi.
Responses
A 36π in2
36π in 2
B 9π in2
9π in 2
C 72π in2
72π in 2
D 18π in2
18π in 2
E 81π in2
What is the probability that the component is not working given that the system works? (enter your answer with 3 decimal digits.)
The value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571. the probability that component A is not working given that the system works is approximately 0.001.
To calculate the values in Part 1 and Part 2, we'll use basic probability rules and formulas.
Given: P(A) = P(B) = 0.77, P(C) = P(D) = P(E) = 0.85
Part 1: We want to find the probability of the complement of the event (A ∩ B) ∪ (C ∪ D ∩ E), denoted as P((A ∩ B) ∪ (C ∪ D ∩ E))'.
Using De Morgan's law, the complement of a union is the intersection of complements:
P((A ∩ B) ∪ (C ∪ D ∩ E))' = P((A ∩ B)') ∩ (C ∪ D ∩ E)'
The complement of an intersection is the union of complements:
P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (P(A') ∪ P(B')) ∩ (P(C') ∩ P(D') ∩ P(E'))
Substituting the given probabilities:
P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (1 - P(A)) ∪ (1 - P(B)) ∩ (1 - P(C)) ∩ (1 - P(D)) ∩ (1 - P(E))
Calculating the values:
P(A') = 1 - P(A) = 1 - 0.77 = 0.23
P(B') = 1 - P(B) = 1 - 0.77 = 0.23
P(C') = 1 - P(C) = 1 - 0.85 = 0.15
P(D') = 1 - P(D) = 1 - 0.85 = 0.15
P(E') = 1 - P(E) = 1 - 0.85 = 0.15
Now, we calculate the final probability:
P((A ∩ B)') ∩ (C ∪ D ∩ E)' = (0.23 ∪ 0.23) ∩ (0.15 ∩ 0.15 ∩ 0.15)
= 0.23 ∩ 0.15 = 0.1571 (rounded to 4 decimal places)
Therefore, the value of P((A ∩ B) ∪ (C ∪ D ∩ E))' is approximately 0.1571.
Part 2: We want to find the probability that component A is not working given that the system works, denoted as P(A' | System Works).
Using the conditional probability formula:
P(A' | System Works) = P(A' ∩ System Works) / P(System Works)
To calculate the numerator:
P(A' ∩ System Works) = P(A' ∩ B' ∩ C' ∩ D' ∩ E')
= P(A') ∩ P(B') ∩ P(C') ∩ P(D') ∩ P(E')
= 0.23 ∩ 0.23 ∩ 0.15 ∩ 0.15 ∩ 0.15 = 0.0002634 (rounded to 7 decimal places)
To calculate the denominator:
P(System Works) = 1 - P(A' ∪ B' ∪ C' ∪ D' ∪ E')
= 1 - (P(A') ∪ P(B') ∪ P(C') ∪ P(D') ∪ P(E')) = 1 - (0.23 ∪ 0.23 ∪ 0.15 ∪ 0.15 ∪ 0.15) = 1 - 0.66 = 0.34
Now, we calculate the final probability:
P(A' | System Works) = P(A' ∩ System Works) / P(System Works)
= 0.0002634 / 0.34 = 0.0007735 (rounded to 7 decimal places)
Therefore, the probability that component A is not working given that the system works is approximately 0.001.
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The complete question is:<The reliability (probability of working) of each component is specified as follows and the components work or fail independently. P(A) = P(B) = 0.77 P(C) = P(D) = P(E) = 0.85 A B с DHE Part 1 What is the value of P((ANB) U(CODn E))' (Enter your answer with 3 decimal digits.) 0.1571 100% Part 2 What is the probability that the component A is not working given that the system works? (Enter your answer with 3 decimal digits.) Hint: Think of a conditional probability definition.>
In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.
Answer:
Female: 93/328
Adult: 103/328
Baby: 61/328
Step-by-step explanation:
71 + 93 + 103 + 61 = 328
Male: 71/328
Female: 93/328
Adult: 103/328
Baby: 61/328
What is the recursive formula for this arithmetic sequence?
-7,-1,5, 11, ...
Answer:
D
Step-by-step explanation:
The recursive formula allows us to find any term in a sequence by adding the common difference d to the previous term.
Here d = - 1 - (- 7) = - 1 + 7 = 6 , then
\(a_{n}\) = \(a_{n-1}\) + 6 ; a₁ = - 7
identify the type of sequence
i just need the graph ones
WILL MARK BRAINLYEST!
Answer:
your answers are correct
the first graph isgeometric
the second graph is arithmeit
What is the base of a triangle with an area of 207 square inches and a height of 18 inches ?
Answer:
A=1/2 B x H
207=1/2 B x 18
B=207/18 x 2
B= 23 inches
Can anyone tell me what’s the answer??
Answer:
x = 10
y = 25
Step-by-step explanation:
if you add the equations as they are then the 'y-term' is eliminated:
60x = 600
x = 10
substitute x=10 to find value of 'y':
40(10) + 4y = 500
400 + 4y = 500
4y = 100
y = 25
Check:
20(10) - 4(25) should equal 100
200 - 100 = 100
100 = 100
Mr. quick purchased a new laptop with a price of $1580. The store Was offering a discount of 23% what is the amount of the discount?
Answer:
15 % of $1580 is $237
Step-by-step explanation:
68
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How many solutions does this equation -2(x+3)= 1/4x- (5-x) have?
Answer:
the equation only has 1 solution
Step-by-step explanation:
Answer:
One solution
x = -4/13
Explanation:
Image below
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow.
1 5 6 7 8 8 8 9 9 9 9 10 3 4 5 5 7 6 8 9 10 5 4 6 5 7 3 1 9 8 8 9 9 10 7 6 4 8 10 2 5 1 8 6 9 6 8 8 10 10
Develop a 95% confidence interval estimating of the population mean rating for Miami.
CI = 6.76 ± 1.96 × (2.67/√50)
CI = 6.76 ± 0.96
Therefore, the 95% confidence interval for the population means rating for Miami is: (5.80, 7.72)
We can be 95% confident that the true mean rating for Miami International Airport falls within this interval.
To develop a 95% confidence interval for the population means rating for Miami International Airport, we need to follow these steps:
1. Calculate the sample mean (x) by adding up all the ratings and dividing by the sample size (n=50).
2. Calculate the sample standard deviation (s).
3. Use a t-distribution to find the t-score for a 95% confidence interval with (n-1) degrees of freedom.
4. Calculate the margin of error (ME) using the t-score, standard deviation, and sample size.
5. Add and subtract the margin of error from the sample mean to find the lower and upper limits of the confidence interval.
To calculate the 95% confidence interval, we need to use the formula:
CI = x ± Z' (s/√n)
Where:
x = sample mean
Z' = z-score for the desired confidence level (in this case, 95%, so
Z' = 1.96)
s = sample standard deviation
n = sample size
Step 1: Calculate the sample mean (x)
Sum of ratings = 346
Sample size (n) = 50
x = 346/50 = 6.92
Step 2: Calculate the sample standard deviation (s)
Variance = [(Sum of (rating - x)^2) / (n-1)] = 88.48
Standard deviation (s) = √(88.48) = 9.41
Step 3: Find the t-score
For a 95% confidence interval with 49 (n-1) degrees of freedom, the t-score is approximately 2.01.
Step 4: Calculate the margin of error (ME)
ME = t-score × (s / √n) = 2.01 × (9.41 / √50) = 2.01 × 1.33 = 2.67
Step 5: Find the confidence interval
Lower limit: x - ME = 6.92 - 2.67 = 5.80
Upper limit: x + ME = 6.92 + 2.67 = 7.72
Thus, the 95% confidence interval for the population mean rating for Miami International Airport is approximately
(5.80, 7.72)
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A nurse is caring for an infant who has gastroesophageal reflux. Which of the following findings are associated with this condition? (Select all that apply.)
a) rigid abdomen
b) wheezing
c) vomiting
d) weight loss
e) pallor
The correct answers are: c) vomiting and d) weight loss. Gastroesophageal reflux can cause frequent vomiting, which can lead to weight loss in infants.
A nurse caring for an infant with gastroesophageal reflux may observe the following findings associated with this condition:
b) wheezing
c) vomiting
d) weight loss
Infants and children diagnosed with gastroesophageal reflux should not sit or lie down immediately after a meal; patients will be advised to lie face down for at least the first hour after a meal; Sleeping in this position has been shown to reduce the frequency of gastroesophageal reflux. Expressed milk can be thickened as described, in addition to increasing the frequency of feedings; in addition, early teaching (at three (3) months) to eat rice can be attempted; small meals are also recommended; oily and spicy. foods that promote postprandial reflux by increasing gastric emptying and slowing digestion; Chocolate, mint, tomato, citrus fruits, and caffeine should be avoided, which lowers LES pressure.
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The difference of x and y is 14. The value of x is 3 more than
twice the value of y. Write two equations and graph to find
the value of x.
O X = 25
O x = -17
OX= 4
O x = 11
The value of X = 25.
The difference of x and y is 14. The value of x is 3 more thantwice the value of y. Find the value of x and y.Solution:
The two equations are
(i) the first condition is difference of x and y is 14
x - y = 14 ---------equation 1
(ii) the second condition of the given data is value of x is 3 times more than two times of y value.
x - 2y = 3 --------equation 2
From equation 2, we have to separate two variables x and y,
x = 3 + 2y --------equation 3
We have to Substitute equation 3 in equation 1
3 + 2y - y = 14
3 + y = 14
y = 14 - 3
y = 11
Substitute y = 11 in equation 1........
x - 11 = 14
x = 14 + 11
x = 25
So, the value of x is 25 and y is 11.
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Answer:
x - y = 14x - 2y = 3x = 25Step-by-step explanation:
Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.
EquationsThe difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...
x - y = 14x - 2y = 3GraphThe attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.
The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.
The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.
Algebraic solutionSince we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:
2(x -y) -(x -2y) = 2(14) -(3)
x = 25 . . . . . . . . . simplify
the sampling distribution of a statistic refers to thegroup of answer choicesrange of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.distribution of the variable in the parent population.distribution of the variable in a particular sample.spread of the variable in the parent population.unbiased nature of most sample statistics.
Answer:
It is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.
Step-by-step explanation:
The sampling distribution of a statistic refers to the range of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.
In other words, it is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.
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Is 165 divisible by 15?
Yes, 33 x 5 = 165
165 / 5 = 33
For each of the following combination of confidence level and sample size identify the appropriate t-value.
n=10, 99% confidence
n=20, 98% confidence
n=25, 80% confidence
It's worth noting that for larger sample sizes, the t-distribution approaches a standard normal distribution and we can use the z-value instead of the t-value for calculating confidence intervals.
To identify the appropriate t-value for a given combination of confidence level and sample size, we need to use a t-distribution table or calculator. Below are the t-values for the given combinations:
n=10, 99% confidence: The appropriate t-value is 3.169. This is found by looking up the t-value for 9 degrees of freedom (n-1) and 0.005 alpha level (0.01/2) in a t-distribution table or using a calculator.
n=20, 98% confidence: The appropriate t-value is 2.527. This is found by looking up the t-value for 19 degrees of freedom (n-1) and 0.01 alpha level (0.02/2) in a t-distribution table or using a calculator.
n=25, 80% confidence: The appropriate t-value is 1.319. This is found by looking up the t-value for 24 degrees of freedom (n-1) and 0.1 alpha level (0.2/2) in a t-distribution table or using a calculator.
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Can anyone help me with this please
Answer:
its 34
Step-by-step explanation:
46
For the first two use the formula \(A^2 + B^2 = C^2\)
\(15^2 + 36^2 = C^2(unknown)\)
Calculate 15 x 15 + 36 x 36 = 1521
Now its
1525 = C^2
Fins the squeare root of 1521 whitch is 39
and square c^2 as well whitch make it C^1 or simple C
This give us a final anwser of the missing side
39 = C
Second triangle
For this the formual is different since we are not finding the lenght of the hypotunus (C), we know this becauee the missing angle is met my a 90 digree angle.
Here the equasion is C^2 - A^2 = B^2
WE will it in again
15^2 - 9^2 = B^2
Calaulate 15 x 15 - 9 x 9 = 144
Now its 144 = B^2
Again we find the square root for each side
Square root of 144 is 12
and Square root of B^2 is Simpley B
We put in togethe to find the final anwser whitch is
12 = B
For the last two it is simple
All angles of a triangle added together must always equal 180 degrees
So it the two side are 75 and 32 we add them (75+32) to get 107
Now we just subtract that amount (107) form 180 to get the third missing angle. 180 - 107 = 73
Here the missing angle is 73
One way to know if this is correct is to add all side and see if it equaels 180
75 + 32 + 73 = 180
For the second question it seems to be exactly the same as the first in the photo so the anwser would also be 73.
Hope this helps! :)
an irs representative claims that the average deduction for medical care is $1250. a taxpayer who believes that the real figure is lower samples 32 random families and comes up with a sample mean of $934 and a sample standard deviation of $619. what conditions are met?
Based on the provided information to conduct the hypothesis test the condition met are random sampling, sample size, independence. From this sample, the taxpayer calculates a sample mean of $934 and a sample standard deviation of $619.
To conduct a hypothesis test, we need to ensure certain conditions are met. These conditions are:
1. Random sampling :The taxpayer used a random sample of 32 families, which helps to ensure the sample is representative of the population.
2. Sample size: The sample size is 32, which is considered a large enough sample size for a hypothesis test (generally, a sample size of 30 or more is considered large enough).
3. Independence: Since the sample is random and the sample size is less than 10% of the population (assuming there are more than 320 families), the independence assumption can be considered as met.
4. Approximately normal distribution: With a sample size of 32 (which is considered large), the Central Limit Theorem suggests that the sampling distribution of the sample mean will be approximately normal.
With these conditions met, the taxpayer can proceed with a hypothesis test to compare their sample mean with the IRS representative's claimed average and determine whether the real figure for medical care deductions is likely to be lower than $1,250.
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Please help me I am really confused and need help with this.
Answer:
Step-by-step explanation:
y=10
When the number formed by reversing the digits of a two digit number is added to the original number, the sum is 99. If the same number is subtracted from the original number, the difference is 27. Find the original number.
Step-by-step explanation:
x = 10¹ digit
y = 10⁰ digit
the original number is xy.
the reverse number is yx.
xy + yx = 99.
xy - yx = 27
10x + y + 10y + x = 99
11x + 11y = 99
x + y = 9
x = 9 - y
10x + y - 10y - x = 27
9x - 9y = 27
x - y = 3
9 - y - y = 3
6 = 2y
y = 3
x = 9 - y = 9 - 3 = 6
the original number is 63
Which of the following does not describe a rigid motion transformation?
A. rotating a figure 90 degrees
B. dilating a figure by a scale factor of 1
C. translating a figure 5 units right
D. reflecting a figure across the x-axis
The correct answer is B. Dilating a figure by a scale factor of 1 does not describe a rigid motion transformation.
Rigid motion transforms, also known as isometrics, preserve the character's shape and size.
This means that the transformed shape is the same as the original shape. Rigid motion includes rotation, translation, and reflection.
Rigid Motion transformation preserves character shape and size.
This includes rotation, translation and reflection.
However, dilation changes the size of the shape.
Enlarging a picture by a factor of 1 does not change the size of the picture. This is not a rigid motion transform as the character will not be preserved exactly as it was before the transform.
For expansion with a scale factor of 1, the number is simply multiplied by 1 to get the same number.
The picture remains the same size after being scaled by a scale factor of 1, so no transformation is needed to change the shape or size of the picture.
Therefore, it does not apply to rigid body motion transformations.
In summary, enlarging a figure by a scale factor of 1 is not a rigid body motion transformation because it does not change the size of the figure, making it identical to the original figure.
Option B enlarges the figure by a scale factor of 1, so rigid body motion transformations are not described.
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This question please
Answer:
Wht question. don't see nothing
What is (x+3) (x-7)?
Answer:
We can use FOIL to solve this:
F - First
O - Outer
I - Inner
L - Last
\( = (x \times x)+(x \times - 7)+(3 \times x)+(3 \times - 7)\)
\( = {x}^{2} + - 7x + 3x - 21\)
\( = {x}^{2} - 4x - 21\)
Answer:
\(x^2-4x-21\)
Step-by-step explanation:
\(\left(x+3\right)\left(x-7\right)\)
Apply FOIL method:-
\(\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\)
\(\left(x+3\right)\left(x-7\right)\)
\(xx+x\left(-7\right)+3x+3\left(-7\right)\)
\(=x^2-4x-21\)
OAmalOHopeO
Simplify the expression 6−2x+5+4x . Show or explain your reasoning.
Answer:
2x + 11 is your answer
Step-by-step explanation:
yeah just 2x + 11
May I please get help with this math problem I have tried several times but still couldn’t find the right answer
According to the Triangle Inequality Theorem, the sum of the lengths of two sides of a triangle is greater than the length of the third side of the triangle.
In this case, you know the lengths of two sides of the triangle, and you also know that "x" represents the length of the third side. Then, you can set up the following:
\(13+19>x\)Solving the inequality, you get:
\(\begin{gathered} 32>x \\ \end{gathered}\)You can rewrite it as:
\(x<32\)Hence, the answer is:
\(x<32\)