Yes, for the given measurement of sides 8cm , 7cm, and 9cm the triangle formation is possible as sum of two sides is always greater than the third side.
As given in the question,
Given measurement of the side length of the triangle is equal to :
Measurement of Side 1 = 8cm
Measurement of Side 2= 7cm
Measurement of Side3 = 9cm
To form a triangle sum of the measure of two sides of a triangle should be greater than the measure of the third side of the triangle.
In the given triangle,
Side 1 + Side 2
= 8cm + 7cm
= 15cm > 9cm
Side 1 + Side 3
= 8cm + 9cm
= 17cm > 7cm
Side 3 + Side 2
= 9cm + 7cm
= 16cm > 8cm
Therefore, sum of measure of two sides is always greater than the third side it is possible to form a triangle with given measurement of sides.
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In a circle with radius 8.5, an angle intercepts an arc of length 38.9. Find the angle in
radians to the nearest 10th.
Answer:
The angle in radians is 4.6.
Note that it is expressed in radians, to convert it to degrees you need to multiply it by 180/π, but it is already rounded to the nearest 10th.
Step-by-step explanation:
To find the angle in radians to the nearest 10th, you need to use the relationship between the length of an arc, the radius of the circle, and the angle of the arc:
arc length = (angle in radians) * (radius)
In this case, the radius of the circle is 8.5 and the arc length is 38.9, so you can substitute these values into the equation:
38.9 = (angle in radians) * (8.5)
To solve for the angle in radians, you need to divide both sides of the equation by the radius:
angle in radians = 38.9 / 8.5
The angle in radians is 4.6.
Note that it is expressed in radians, to convert it to degrees you need to multiply it by 180/π, but it is already rounded to the nearest 10th.
A manufacturing company makes two of tables A and B. The relevant manufacturing of labor hours for table A is cutting 6 assembling 1 for table B cutting 4 assembling 1. Maximum labor hours available per day for table A is 108 and table B is 24. If the profit on type A is birr 40 and profit for type B is birr 30, how many of each type of table should be manufactured each day to realize a maximum profit?What is the maximum profit? With graph
The amounts of each type that should be produced to maximize profit is given as follows:
Type A: 17.Type B: 1.Hence the maximum profit is of:
birr 710.
How to maximize the profit?A system of inequalities is used to model the situation, for which the variables are given as follows:
Variable x: number of products of type A produced.Variable y: number of products of type B produced.The number of products is a countable amount, meaning that it cannot assume negative values, hence the first two constraints are given as follows:
x ≥ 0.y ≥ 0.For table A, the constraint is of at most 108 hours, hence:
6x + 4y ≤ 108.
For table B, the constraint is of at most 24 hours, hence:
x + y ≤ 24.
Hence the four constraints are combined to form a system of inequalities, which is solved graphically.
The profit function is given as follows:
P(x,y) = 40x + 30y.
As products of type A contribute more to profit, we must find the vertex on the solution which has the highest value of x, which is of:
(17,1).
Meaning that 17 items of type A are made and one item of type B, and the profit is given as follows:
P(17,1) = 40 x 17 + 30 = birr 710.
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A large school district held a district-wide track meet for all high school students.
for the 2-mile run, the population of female students participating had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes, and the population of male students participating had a mean running time 7.3 minutes with standard deviation of 2.9 minutes.
suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population.
let x-barm represent the sample mean running time for the male students, and let x- barf represent the sample mean running time for the female students. what are the mean and standard deviation of the sampling distribution of the difference in sample means x-barm-x-barf?
a. 0.4 & 4.042.
b. 1.5 & 1.553.
c. 0 -1.5 & 2.413.
d. 1.5 & 2.413.
e. -1.5 & 1.553.
The mean and standard deviation of the sampling distribution of the difference in sample means for 8 female and 8 male students who participated in the 2-mile run is -1.5 minutes and 2.413 minutes, respectively.
The mean of the sampling distribution of the difference in sample means is calculated by subtracting the mean of the female students from the mean of the male students, which is 7.3 - 8.8 = -1.5 minutes.
The standard deviation of the sampling distribution of the difference in sample means is calculated by taking the square root of the sum of the squares of the standard deviations of the two populations, which is sqrt(3.3^2 + 2.9^2) = 2.413 minutes.
Therefore, the mean and standard deviation of the sampling distribution of the difference in sample means is -1.5 minutes and 2.413 minutes, respectively.
The mean and standard deviation of the sampling distribution of the difference in sample means for 8 female and 8 male students who participated in the 2-mile run is -1.5 minutes and 2.413 minutes, respectively.
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What do you know about the solution(s) to the system of linear equations
PLS I DONT UNDERSTAND
Answer:
see explanation
Step-by-step explanation:
given a system of equations graphically , then the solution is at the point of intersection of the 2 lines.
However, the 2 lines shown are parallel and never intersect and therefore have no solution.
malia bought a block of wax to make candles. she used 3.5 pounds of the wax to make vanilla-scented candles and has less than 5 pounds of wax left to make orange-scented candles. let x represent the weight of the block of wax originally. which inequality describes the problem?
The required inequality describes for the given problem is x < 8.5.
What is inequality?The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.
According o question:she used 3.5 pounds of the wax to make vanilla-scented candles and has less than 5 pounds of wax left to make orange-scented candles.
let x represent the weight of the block of wax originally
then,inequality can be written as,
x - 3.5 < 5
x < 8.5
Thus, required inequality is x < 8.5.
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Question 3 of 15
What value(s) of x will make x² = 16 true?
Ο Α. 2
OB. 4 and -4
C. 4 only
OD. 6 and -6
4
SUBMIT
The value(s) of x will make x² = 16 true are 4 and -4.
B. is the answer
How to determine the value(s) of x that will make x² = 16 true?
An algebraic equation is when two expressions are set equal to each other, and at least one variable is included
The values of x that will make x² = 16 true are -4 and 4.
x² = 16 can be written as follows:
x² = 16
x = ±√16
x = ± 4
x = 4 or -4
This because the square of 4 is 16 i.e. 4² = 16. Likewise the square of -4 is 16 i.e. (-4)².
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A researcher creates a scatter plot that displays the relationship between the number of years in business, x, and the percentage of company business that is fair trade, y. the researcher creates a line of best fit, y=0.091x+0.060, and wants to find the residuals for the companies that have been in business for 3 years.
find the residuals for the two points representing companies that have been in business for 3 years, (3, 0.42) and (3, 0.3).
what is the residual for the company with the point (3, 0.42)?
The residuals for the two points representing companies that have been in business for 3 years, (3, 0.42) and (3, 0.3) are 0.087 and -0.033 respectively.
What is a residual value?We gather data and attempt to fit a line that can most closely resemble how the data is distributed across the coordinate plane. Recall that on a 2D cartesian plane, we have the points (x,y), where x is the abscissa and y is the ordinate.Assuming we are working with 2D data, let's write the best-fit line as y = mx + c, where m is the slope and c is the y-intercept.Now, a prediction is made about where the next data point may be using this line. We obtain the error that the best-fit line produced while predicting the actual data when it is used to predict a data point that already exists."Residual value" is used to gauge this.We assume that the prediction for a data point with ordinate b is y. The residual value is then y - b.Recall that the ordinate of the prediction is ahead of that of the actual data point.Given:
The line of best fit is y = 0.091x+0.060.
The two points representing companies that have been in business for 3 years are (3, 0.42) and (3, 0.3).
The predicted value for the point (3, 0.42) can be calculated as:
= (0.091 × 3) + 0.060
= 0.0273 + 0.060
= 0.333
So, the residual will be:
= 0.42 - 0.333 = 0.087
The predicted value for the point (3, 0.3) is calculated as:
y = 0.091x + 0.060.
= (0.091 × 3) + 0.060.
= 0.333
So, the residual will be:
= 0.3 - 0.333 = -0.033
Hence, the residual for the two points will be 0.087 and -0.333 respectively.
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q is directly proportional to q is 76 when r is 20.
work out 9 when r is 45
The direct relantionship model indicates that variable q is equal to 225 / 19 when r is 45.
How to determine the value of a variable in a model that combines direct proportionality
In this problem we must derive an equation based on following relationship:
Variable q is directly proportional to r.
In other words, we have the following direct relationship model that describes well the situation:
q = k · r
Where:
q, r - Variables.k - Constant of proportionality.First, determine the constant of proportionality:
k = q / r
k = 76 / 20
k = 19 / 5
Second, calculate the variable r is:
q = r / k
q = 45 / (19 / 5)
q = 225 / 19
RemarkThe statement presents several typing mistakes, correct form is introduced below:
q is directly proportional to r is 76 when r is 20.
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What kind of triangle is formed when the lengths of the sides are 6cm 8cm and 10cm?
A triangle with the lengths of the sides 6cm , 8cm , and 10cm is a right angled triangle using Pythagoras theorem.
As given in the question,
In the given triangle,
lengths of the sides of the triangle is given by :
6cm , 8cm , and 10cm
In the given measurement longest side is 10cm.
Using Pythagoras theorem :
( Hypotenuse ) ² = (Base)² + ( Altitude)²
Here
( 6 )² + ( 8 )²
= 36 + 64
= 100
= 10²
It satisfy the condition of Pythagoras theorem.
It is a right angled triangle with hypotenuse = 6cm.
Therefore, the given lengths of the sides of the triangle represents it is a right angled triangle.
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I don’t know how to do this, explanation too please
Find angle x
Answer:
Step-by-step explanation:
You need to know trigonometry for this.\
You can't solve this without a scientific calculator.
TOA means Tan x = Opposite/Adjacent or in this case, 5.1/4.2
tan x = 5.1/4.2
arctant(tanx) = arctan(5.1/4.2)
x = arctan(5.1/4.2)
≈ 50.5°
arctan x is also known as tan inverse x
help I didn't do this
Answer:
14/3
Step-by-step explanation:
Cross Multiply 6/7 by 4
6/7 x 4/1
= 28/6
Simplify
=14/3
Which of the following values are solutions to the inequality -9> -4+5x?
The only value that is a solution of the inequality -9> -4+5x is the first one, x = -5.
Which of the following vales are solutions to the inequality?Here we have the inequality:
-9> -4+5x
And we want to see which of the given values is a solution for that inequality.
The first option is x = -5
Replacing that value we will get:
-9 > -4 + 5*-5
-9 > - 4 - 25
-9 > -29
This is true.
The second option is x = 2
-9> -4+5*2
-9 > -4 + 10
-9 > 6
This is false.
The last option is x = -1
-9 > -4 + 5*-1
-9 > -9
This is false.
Then the only solution is the first one, x = -5.
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A plane travels 1500 yard before lifting off the ground. If the plane continues on the runway, it is 600 moreyard to the control tower,
which is 198 feet high. Instead, the plane takes flight and travels 603 yards. Which statement is most accurate? (1 yard = 3 feet)
The plane needs to be about 6 yards higher to clear the tower.
The plane clears the tower with about 18 yards to spare.
The plane clears the tower with about 6 yards to spare.
The plane needs to be about 18 yards higher to clear the tower.
Most accurate statement is "The plane clears the tower with about 6 yards to spare". So the option c is correct.
In the given question, a plane travels 1500 yard before lifting off the ground.
If the plane continues on the runway, it is 600 more yard to the control tower, which is 198 feet high.
Instead, the plane takes flight and travels 603 yards.
Initial distance traveled = 1500
Yards to control tower = 600
Height of control tower = 198 feet
Height of control tower = 198×3 yards
Height of control tower = 594 yards
If the airplane's rate of ascent is proportionate to the distance flown, then 1 yard of length equals 1 yard of height achieved.
The height of the plane would be 600 yards after flying 600 yards to the location of the control tower.
So, Difference in height = Height of plane - Height of tower
Difference in height = 600 yards - 594 yards
Difference in height = 6 yards
Hence, most accurate statement is "The plane clears the tower with about 6 yards to spare". So the option c is correct.
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how many terms are in the algebraic expression
Answer:
I think there are 4 separate terms in that algerbric equation
(3 points) To the appropriate number of significant figures, if the density of the metal cube is 2.3 x 10-3 kilograms/microliters, what is the length of one side of a cube if the mass is 88 milligrams
if the density of the metal cube is 2.3 x 10⁻³ kilograms/micro liters, 2968 cm. is the length of one side of a cube if the mass is 88 milligrams
What is significant figure?The amount of digits that contribute to the correctness of a value—often a measurement—are known as significant figures. The first digit that is non-zero is where we begin counting significant figures.
The number of significant single digits (0 through 9 inclusive) in an expression's coefficient is referred to as the significant figures in scientific notation. The amount of accuracy or assurance an expert or scientist uses to state a quantity is indicated by the number of significant figures in a statement.
The given mass of the metal cube is 2.3 × 10⁻³kg/micro-liters or 2300000 gm/liter
The density of the metal cube is 88 mg or 0.088 gm.
Now, we know that density, d = mass/volume.
So, volume of the metal cube,
V = mass/density
V = (2300000/0.088)
V = 26136363.7 L
Now, we know that volume of a cube is a³ where a is the length of a side of the cube. So, a³ = 26136363.7 L or 26136363.7 dm³.
So, a = 296.8 dm or 2968 cm.
So, the length of one side of the cube is 2968 cm.
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A can contain 12 litre of water. How much can be poured out to leave 4 3/5 of litre
Do the following question 7(x + 3) < 5x + 13?
Answer:
x < - 4
Step-by-step explanation:
7(x + 3) < 5x + 13 ← distribute parenthesis on left side
7x + 21 < 5x + 13 ( subtract 5x from both sides )
2x + 21 < 13 ( subtract 21 from both sides )
2x < - 8 ( divide both sides by 2 )
x < - 4
What percent of the 6th graders have a pet? Round your answer to the nearest tenth of a percent
the elisa test is known to have probability 0.05 of producing a false positive result and probability 0.10 of producing a false negative result for a single chicken. a. if no chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is not present in the flock? show how you found your answer. b. if no chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is present in the flock? show how you found your answer. c. if every chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is present in the flock? show how you found your answer. d. if 20 percent of the chickens in the flock are infected with the h6n2 virus and the other 80 percent are not infected, what is the probability that the veterinarian will conclude that the h6n2 virus is present
If no chicken in the flock is infected with the h6n2 virus, the probability that the veterinarian will conclude that the h6n2 virus is not present in the flock
[tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right] * O.O5^2 *0.95^8[/tex]
= 0.98849
Using the answer probability of veterinarian will incorrectly conclude that
h6n2 virus present in the flock
1- 0.98849 =0.1150
veterinarian will incorrectly conclude that h6n2 virus present in the flock least three chicken shows positive result
∑[tex]\left[\begin{array}{ccc}10\\k\\\end{array}\right] 0.90^{k} * 0.10^(10-k)[/tex]
= 1-[tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right] * O.90^0 *0.10^10 +\left[\begin{array}{ccc}10\\1\\\end{array}\right] * O.90^1 *0.10^9 + \left[\begin{array}{ccc}10\\2\\\end{array}\right] * O.90^2 *0.10^8[/tex]
=0.9999996
the probability of randomly selected chicken shows positive result is
P(true positive)*P(infected chicken) +P(false positive)*P(non infected chicken)
= 0.90*0.20 + 0.05*0.80
= 0.22
probability of three chicken shows positive result
[tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right] * O.22^0 *078^10 +\left[\begin{array}{ccc}10\\1\\\end{array}\right] * O.22^1 *0.78^9 + \left[\begin{array}{ccc}10\\2\\\end{array}\right] * O.22^2 *0.78^8[/tex]
=0.38311
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HELP QUICk
What is the area of the triangle shown?
Responses
A 24 in2
24 in 2
B 12 in2
12 in 2
C 48 in2
48 in 2
D 36 in2
36 in 2
Question 2
Answer:
the answer is 20 my guy hope this helps
the number of red chips and white chips in an urn is unknown, but the proportion, p, of reds is either 1/ 3 or 1/2 . a sample of size 5, drawn with replacement, yields the sequence red, white, white, red, and white. what is the maximum likelihood estimate for p
The maximum likelihood estimate for p is 1/2, as it maximizes the likelihood of observing the sequence.
What is algebra ?
Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. Algebraic concepts include operations such as addition, subtraction, multiplication, and division, as well as the manipulation of equations
The maximum likelihood estimate (MLE) for p is the value that maximizes the likelihood function, which represents the probability of observing a particular sequence of red and white chips given the assumed distribution of reds and whites. In this case, we have two options for the proportion of reds, either 1/3 or 1/2. To calculate the likelihood of observing the sequence red, white, white, red, and white given p = 1/3, we calculate (1/3)(2/3)(2/3)(1/3)(2/3) = 4/243. To calculate the likelihood of observing the sequence given p = 1/2, we calculate (1/2)(1/2)(1/2)(1/2)(1/2) = 1/32. As we can see, the maximum likelihood estimate for p is 1/2, as the likelihood of observing this sequence given p = 1/2 is greater than the likelihood of observing this sequence given p = 1/3.
The maximum likelihood estimate for p is 1/2, as it maximizes the likelihood of observing the sequence.
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find the local maximum and minimum values and saddle point(s) of the function. you are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (enter your answers as comma-separated lists. if an answer does not exist, enter dne.) f(x, y)
Answer:
to get your answer you have to. Then after that, and finally
−|a+b|2−c when a=135 , b=−2 , and c=−7
Answer:
-1233
Step-by-step explanation:
Step 1.) Plug in the orresponding number to letter
- |135+ -2| 2- -7.
Step 2.) Find absolute value
-| 137 | 2- -7
Step 3.) Solve
-137 × 9
= -1233
(07.04 mc) what is the general solution to the differential equation dy over dx equals x times y plus 3 times x question mark
The general solution of dy over dx equals x times y plus 3 times x question is [tex]y=e^{\frac{x^{2} }{2} +c_{1}} -3[/tex]
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
The given differential equation is dy over dx equals x times y plus 3 times x question
dy/dx=xy+3x
dy/dx=x(y+3)
dy/dx-x(y+3)=0
Solve seperable ODE
[tex]y=e^{\frac{x^{2} }{2} +c_{1}} -3[/tex]
Hence, the general solution of dy over dx equals x times y plus 3 times x question is [tex]y=e^{\frac{x^{2} }{2} +c_{1}} -3[/tex]
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Write the time 11 hours after 5:00 PM
Answer:
4am, it's 4 am.
of the students in barbara's class, 2/5 have a pet cat. of the students who have a cat, 3/4 also have a dog. what fraction of the students in barbara's class have both a cat and a dog? write your answer as a fraction or as a whole or mixed number.
23/20 students in barbara's class have both a cat and a dog.
In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
Given that,
The number of students in barbara's class having a pet cat = 2/5
The number of students in barbara's class having a pet dog = 3/4
Thus, the fraction of the students in barbara's class have both a cat and a dog = 2/5+3/4 = 8+15/20= 23/20
Hence, 23/20 students in barbara's class have both a cat and a dog.
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One week, Manuel worked his regular 40 hours and overtime 5.75 hours. If his regular hourly rate is $15.00 per hour, what is his gross pay for the week if he earns time and a half for overtime?
Answer:
Manuel worked 40 hours * $15.00/hour = $<<40*15=600>>600 for his regular hours.
For his overtime hours, he worked 5.75 hours * $15.00/hour = $86.25
For overtime, he is paid time and a half, which is $15.00/hour * 1.5 = $22.50/hour.
So he was paid 5.75 hours * $22.50/hour = $128.44 for his overtime hours
Therefore, his gross pay for the week is $600 + $128.44 = $728.44
Please help !!
Given: C is the midpoint of NB; C is the midpoint of MA
Prove: ABC is congruent to NMC
STATEMENTS
Check the picture below.
what was one important statistic from the regression outputs that you studied this week? which statistic was the hardest for you to interpret and why?
R-squared is an important statistic in regression, it measures how well the model fits the data.
What is regression ?
Regression is a statistical method used to analyze the relationship between one or more independent variables and a dependent variable. It is used to predict the value of the dependent variable based on the values of the independent variables.
One important statistic from the regression outputs is R-squared, it measures how well the model fits the data. It ranges from 0 to 1, and a higher R-squared value indicates a better fit. In other words, it represents the proportion of the variance in the dependent variable that is predictable from the independent variable(s). It can provide an overall measure of how well the model is able to explain the variation in the dependent variable based on the independent variable(s).
The statistic that can be hardest to interpret and why can vary depending on the complexity of the model and the user's level of understanding of statistics. But one statistic that can be challenging for some people to interpret is the p-value, which is used to determine the statistical significance of the coefficients of the model.
R-squared is an important statistic in regression, it measures how well the model fits the data.
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Carly and James share some money in a ratio of 5:3. Carly gets £70 more than James. Work out how much James gets.
James gets 140 pounds.
What is a ratio?
A ratio is a mathematical comparison of two or more values. A ratio can be written in various ways, such as "5 to 3" or "5:3", which means that for every 5 parts, there are 3 parts. Ratios can also be simplified to their lowest form, just like fractions.
In this case, Carly and James share money in a ratio of 5:3, meaning that for every 5 parts of the money that Carly gets, James gets 3 parts. If Carly gets £70 more than James, we can set up the equation as:
x + 70 = 5/8 * x
Where x is the amount James gets.
Solving this equation we get:
x = 140
Hence, James gets 140 pounds.
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