The plot suggests that the logistic regression model is not adequately fitting the data.
The deviance residuals plot against the estimated model probabilities with a lowess smooth indicates how well the logistic regression model fits the data. A plot with residuals around zero suggests that the model is adequately fitting the data. In this case, the deviance residuals are around 14.83 which indicates a poor fit of the model. Therefore, the plot suggests that the logistic regression model is not adequately fitting the data.
Learn more about Logistic regression
brainly.com/question/27785169
#SPJ11
Find the value of x.
Three and seven tenths times five
Answer:
6.5
Step-by-step explanation:
3 + (and) 7/10 x 5 = 6.5
Hope this helps!
if the company sells the jelly beans in packs of 9 bags, what can we say about the likelihood that the average weight of the bags in a randomly selected pack is 2 or more grams lighter than advertised?
There is a 2.28% likelihood that the average weight of the bags in a randomly selected pack is 2 or more grams lighter than advertised.
Assume that the advertised weight is equivalent to the typical weight of one bag, which is 30 grammes. A pack of nine bags would therefore weigh 9 x 30 = 270 grammes.
Let's now assume that each bag actually weighs 30 grammes on average, with a 2 gramme standard deviation, according to a normal distribution (which represents the variability in the weight of the bags).
We need to apply the central limit theorem to determine the probability that the average weight of the bags in a randomly selected pack is 2 or more grammes less than stated. According to this theorem, the mean of a sufficiently large sample (in this case, nine bags) will have a sampling distribution that is roughly normal, with a mean of 30 grammes and a standard deviation of 2 grammes divided by the square root of the sample size (9 = 0.67 grammes). The mean will also be equal to the population's standard deviation.
We can determine the likelihood that the sample mean of a pack of 9 bags weighs less than 28 grammes using a normal distribution table or calculator (which is 2 grammes less than the advertised weight of 30 grams). This likelihood is roughly 0.0228, or 2.28%.
Learn more about randomly selected here:
https://brainly.com/question/23701039
#SPJ4
or
Elmview School has an annual carnival. Each year, the school needs 2b+18 balloons for carnival decorations, where b is the number of booths. Elmview has 12 booths planned for the carnival this year.
How many balloons does the school need to decorate for the carnival this year?
Write your answer as a whole number or decimal.
that's the final answer
I need help with question 3 I need to find the rate at which the water is rising in cm/seconds
Answer:
0.01 cm/min
Step-by-step explanation:
The volume of oil in the tank is given by the formula:
V = l × w × h
where l, w, and h are the length, width, and height of the tank respectively.
Substituting the given values, we get:
V = 60 cm × 100 cm × 100 cm = 600,000 cm³
The rate at which the oil is being lost is given as 3.6 litres per hour. Since 1 litre = 1000 cm³, we can convert this to cubic centimeters per hour as follows:
3.6 litres/hour × 1000 cm³/litre = 3600 cm³/hour
To find the rate at which the oil level is falling, we need to divide the rate of oil loss by the surface area of the oil in the tank. Since the tank is rectangular and has a flat bottom, the surface area of the oil is simply the area of the top of the tank, which is:
A = l × w = 60 cm × 100 cm = 6000 cm²
Now, we can calculate the rate at which the oil level is falling as follows:
rate of oil loss ÷ surface area of oil = (3600 cm³/hour) ÷ (6000 cm²)
= 0.6 cm/hour
To convert this to cm/min, we simply divide by 60:
0.6 cm/hour ÷ 60 min/hour = 0.01 cm/min
Therefore, the rate at which the oil level is falling is 0.01 cm/min
in how many ways can a sample of 5 keyboards be selected so that exactly two have an electrical defect?
There are 105 ways to select a sample of 5 keyboards from a set of 10 keyboards such that exactly 2 of the keyboards have an electrical defect.
To find the number of ways to select a sample of 5 keyboards so that exactly 2 have an electrical defect, we can use the combination formula:
C(n,k) = n! / (k! * (n-k)!)
where n is the total number of keyboards, k is the number of defective keyboards, and C(n,k) is the number of ways to choose k defective keyboards from a total of n keyboards. Here, n = 10 (assuming there are 10 keyboards in the sample), and k = 2.
We can choose 2 defective keyboards from the total of 3 defective keyboards in C(3,2) = 3 ways. We can also choose 3 non-defective keyboards from the total of 7 non-defective keyboards in C(7,3) = 35 ways. Therefore, the total number of ways to select a sample of 5 keyboards so that exactly 2 have an electrical defect is:
C(3,2) * C(7,3) = 3 * 35 = 105
So there are 105 ways to select a sample of 5 keyboards from a set of 10 keyboards such that exactly 2 of the keyboards have an electrical defect.
To know more about combination formula: click here:
brainly.com/question/13095958
#SPJ4
Algebraic Inequalities
Help due today
Answer: i am certain that the answer is -6
A restaurant offers fruit juices as welcome drinks to all its customers. There is a 29% chance of getting apple juice, a 31% chance of getting grape juice, a 19% chance of getting orange juice, and a 21% chance of getting pear juice. Is it less likely that you will get apple, grape, orange, or pear juice?
No, it is not less likely that you will get one of the four types of juice, as they are the only options available.
Probability of getting apple juice = 29%
= 0.29
probability of getting grape juice = 31%
= 0.31
Probability of getting orange juice = 19%
= 0.19
Probability of getting pear juice = 21%
= 0.21
The total probabilities of getting apple, grape, orange, and pear juice sum up to
= 29% + 31% + 19% + 21%
= 100%.
or
= 0.29 + 0.31 + 0.19 + 0.21
= 1.00
This implies,
That every customer will get one of the four types of juice, and there is a 100% chance of getting one of them.
Therefore, the given probabilities are not less likely as it represents chances of one type of juice definitely will be given.
learn more about juice here
brainly.com/question/10715342
#SPJ4
in a recent survey, what reason was given by nearly half of the respondents when asked what their reason was for changing jobs?
According to a recent survey, nearly half of the respondents cited better pay as their primary reason for changing jobs.
The survey was conducted on a national level and the results indicate that a majority of people are looking to increase their earnings by switching jobs.
Other reasons are:
The increasing cost of living and the desire to make ends meet. Opportunities to increase their skill set and gain experience in a new industry were other major factors that pushed them to seek a new job. Better working conditions were also cited as a primary reason by some survey respondents. This included working hours, location, job security, and organizational culture. To pursue a career path more aligned with their passions and interests. Move to a new location and a job change presented the perfect opportunity to do so.In conclusion, the survey clearly showed that the main reason for job changes among respondents was better pay. However, various other factors also play a role in an individual's decision to switch jobs, such as working conditions, career paths, and location.
To know more about changing jobs refer here:
https://brainly.com/question/20889936
#SPJ11
is there a significant difference in the mean amount of e. coli bacteria detected by the two methods for this type of beef? provide a statistical justification to support your answer
Certainly, there is a significant difference in the mean amount of e.coli bacteria detected by the two methods for this type of beef. This can be supported statistically by conducting a hypothesis test.
The null hypothesis ([tex]H_0[/tex]) is that there is no significant difference in the mean amount of E. coli bacteria detected by the two methods. The alternative hypothesis ([tex]H_a[/tex]) is that there is a significant difference in the mean amount of e.coli bacteria detected by the two methods.
The two-sample t-test can be used to test the hypothesis. The t-test compares the means of two independent groups and determines whether they are significantly different. The t-test assumes that the two samples are normally distributed and have equal variances.
If the sample sizes are large, then the t-test can still be used even if the samples are not normally distributed.
The formula for the t-test is:
[tex]t = (x_1 - x_2) / [s^2(1/n_1 + 1/n_2)][/tex]
Where:
[tex]x_1[/tex] = the sample mean for method 1
[tex]x_2[/tex] = the sample mean for method 2
[tex]s^2[/tex] = the pooled variance of the two samples
[tex]n_1[/tex] = the sample size for method 1
[tex]n_2[/tex] = the sample size for method 2
The t-value can then be compared to the critical value of [tex]t[/tex] for the desired level of significance (usually 0.05).
If the t-value is greater than the critical value of [tex]t[/tex], then the null hypothesis can be rejected and it can be concluded that there is a significant difference in the mean amount of E. coli bacteria detected by the two methods.
Learn more about a significant difference in the mean amount at: https://brainly.com/question/14724376
#SPJ11
if a water bottle contains 375 ml, what is the volume in quarts? group of answer choices 1.21 qt 355,000 qt 0.396 qt 0.826 qt 2.52 qt
If a water bottle contains 375 ml, So the volume in quarts is 0.396 qt.
The volume of a water bottle containing 375 ml can be converted into a quart using the conversion formula.
One can use the following conversion formula to convert a given volume in ml to quarts.
The conversion formula for ml to quarts is given as;
1 ml = 0.00105669 quarts
Volume in quarts = Volume in ml × 0.00105669
Now, to calculate the volume of 375 ml of the water bottle in quarts,
We will substitute the given volume in the above conversion formula as follows,
Volume in quarts = 375 ml × 0.00105669
= 0.396 qt
Hence, the volume of the water bottle containing 375 ml is 0.396 qt.
Therefore, the correct option is C. 0.396 qt.
Learn more about volume conversion in quarts at: https://brainly.com/question/898411
#SPJ11
The players of a travel volleyball team have no more than a combined total of 385
shirts and hats to sell for a fundraiser to fund a trip. The shirts sell for $12
each, and the hats sell for $25
each. The players must make a combined total of at least $7,450
from the fundraiser. If s
represents the number of shirts sold during the fundraiser, and h
represents the number of hats sold during the fundraiser, which system of inequalities represents the scenario?
system of inequalities represents the scenario: The differences are 12s + 25h 7450 and s + h 385.
When expressions or values do not have an equal relationship to one another, this relationship is referred to in mathematics as an inequality. Inequality is the product of an unbalanced system. The symbol "=" denotes equality between two quantities, and the symbol denotes inequality between them.
The maximum count of hats and shirts sold in this case is 385 if s stands for the quantity of shirts sold during in the fundraiser and h for the amount of hats sold during in the campaign.
=> s +h 385
And the players must make a combined total of at least $7, 450 from the fundraiser, then shirts sell for $12 each, and the hats sell for $25 each then,
=> 12*s+25*h 7450
=> 12s + 25h 7450
Hence the inequalities are, s +h 385 and 12s + 25h 7450.
To know more about Inequality click here.
brainly.com/question/30228778
#SPJ4
what polynomial has a graph that passes through the given points? (-4,89),(-3,7),(-1,-1),(1,-1),(4,329)
The polynomial (D) y = x4 + 2x3 – 3x2 – 2x + 1 has the graph that passes through the points (–4, 89), (–3, 7), (–1, –1), (1, –1), (4, 329) respectively.
What is a polynomial?A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Variables are sometimes known as indeterminates in mathematics.
x² 4x + 7 is an illustration of a polynomial with a single indeterminate x.
So, substitution and trial-and-error are the best ways to solve this problem given the various points and equations that are available as options.
In this regard, we change the equations' examples from 4 to x and see which one produces 89. The solution is D.
Therefore, the polynomial (D) y = x4 + 2x3 – 3x2 – 2x + 1 has the graph that passes through the points (–4, 89), (–3, 7), (–1, –1), (1, –1), (4, 329) respectively.
Know more about polynomials here:
https://brainly.com/question/2833285
#SPJ1
Complete question:
What polynomial has a graph that passes through the given points? (–4, 89), (–3, 7), (–1, –1), (1, –1), (4, 329)
a)y = 2x3 – 3x2 – 2x + 1
b)y = 1x4 – 2x3 – 3x2 + 2x + 1
c)y = x4 – 2x3 + 3x2 + 2x – 1.
d)y = x4 + 2x3 – 3x2 – 2x + 1
a. For which angle measures, 0, between 0 and
2π radians is cos(0) = 0? Label the
corresponding points on the unit circle.
b. What are the values of sin(x) for these angle
measures?
False to say that "cos(0) = 0." Cos(0) is equal to 1, as the input yields the x-coordinate of the spot on the circle for each arc in right spot, where first side coincides positive x-axis or final side spins clockwise first side.
What does it mean to coincide?
occupying the same location in time or space; coinciding; taking up the same spots on a scale. 3. Exactly concur.
Nevertheless, if the query is changed to ask for the angle that measures between 0 & 2 radians for which cos(x) = 0, the response is:
When x is equal to 2 or 3, cos(x) equals 0. The unit circle's corresponding points at these angles are, respectively, (0, 1) and (0, -1).
b. The sin(x) values for these angle measurements are:
As the equivalent point is at (0, 1) just on unit circle, sin(/2) equals 1.Due to (0, -1) being the corresponding point on the unit circle, sin(3/2) = -1.
therefore, False to say that "cos(0) = 0." Cos(0) is equal to 1, as the input yields the x-coordinate of the spot on the circle for each arc in right spot, where first side coincides positive x-axis or final side spins clockwise first side.
To know more about radians visit:
https://brainly.com/question/7721249
#SPJ1
Wendall and Stacey measured the lengths of several wooden planks. Wendall recorded his measurements in inches, and Stacey recorded her measurements in feet. In order to compare the lengths of the wooden planks, they recorded their measurements in the table below. Find the measurements of the wooden planks Wendall measured in feet, and then find the measurements of the wooden planks Stacey measured in inches.
To convert Wendall's measurements from inches to feet, we need to divide each measurement by 12, since there are 12 inches in a foot. So, the measurements in feet are:Length (in)Length (ft)242363484605To convert Stacey's measurements from feet to inches, we need to multiply each measurement by 12. So, the measurements in inches are:Length (ft)Length (in)6727848969108Therefore, the measurements of the wooden planks Wendall measured in feet are 2, 3, 4, and 5 feet, and the measurements of the wooden planks Stacey measured in inches are 72, 84, 96, and 108 inches.
What measurement is equal to 4 quarts 1 quarts = 2 pints or 1 ping = 2 cups
Answer:
8 pints=4 quarts,16 cups is 8pints
Step-by-step explanation:
It is multiplication, if you write it down then think about how the numbers connect its easier to understand.
Several studies about lawyer advertising have been done. Which of the following is NOT one of the findings?
a. The reputation of lawyers with the general public has declined because of advertising
b. The public considers the ads a valuable source of information
c. The public objects when advertising is invasive.
Option a) The finding that the reputation of lawyers with the general public has declined because of advertising is NOT supported by several studies about lawyer advertising.
What is lawyer advertising?Lawyer advertising refers to advertising or soliciting the services of lawyers. It is designed to attract potential clients to retain their services. Lawyer advertising may involve a wide variety of mediums, including television, radio, print media, billboards, and the internet. Legal professionals may advertise their services on a wide range of platforms in order to reach as many people as possible.
What are the findings of several studies about lawyer advertising?According to several studies about lawyer advertising, the public considers the ads a valuable source of information. However, the public objects when advertising is invasive. The findings show that the negative effects of lawyer advertising on the reputation of lawyers with the general public are not supported by empirical data. In other words, the reputation of lawyers with the general public has not declined because of advertising.
The following are some of the other findings of several studies about lawyer advertising:
The effectiveness of lawyer advertising varies based on factors such as the type of media, the target audience, and the geographic location of the advertisement. The public perceives lawyer advertising as a means for lawyers to inform the public about their services and availability.However, the public also perceives lawyer advertising as an attempt to lure them into hiring a lawyer. Lawyer advertising can increase public awareness about the availability of legal services, but it can also lead to unrealistic expectations regarding the outcome of legal disputes.
Hence option a) is correct.
To know more about the "Lawyer advertising": https://brainly.com/question/14457086
#SPJ11
I need help with this please
Work Shown:
1 km = 1000 m
5*(1 km) = 5*(1000 m)
5 km = 5000 m
Step-by-step explanation:
let x= m
1 km=1000m
5km= x.m
1km.x/1km=5000.km/1km
x=5000m
therefore 5km=5000m
a 3 didget whole number thats divisBle by 6,9,4
gtrgrghtrhthjAnswer:
Step-by-step explanation:
g
Answer:
36
Step-by-step explanation:
4*9=36
9*4=36
6*5=36
Neal buys a board game. He pays for the board game and pays
$
1.54
$1.54dollar sign, 1, point, 54 in sales tax. The sales tax rate is
5.5
%
5.5
Proportionately, the cost of the board game without the sales tax is $28.00.
What is the sales tax?The sales tax is the levy imposed by the government on the consumption and production of certain goods and services.
The purposes of imposing sales taxes are to discourage consumption and to increase governmental revenue.
Proportion refers to the equation of two ratios.
In this situation, we can equate the value of the sales tax with its percentage to determine the cost of the board game.
The sales tax in dollars = $1.54
The sales tax rate = 5.5%
Proportionately, the value of the board game without the sales tax = $28.00 ($1.54/5.5%).
Learn more about the sales tax at https://brainly.com/question/30109497
#SPJ1
Question Completion:How how is the cost?
Ellie and Terrell are also putting new
carpeting in their family room,
which is a rectangle having length =
x + 3 and width = x + 1. What is
the area of the family room?
Answer:
x² +4x + 3
Step-by-step explanation:
Area = length x width
Area = (x + 3)( x + 1)
Area = x² + X + 3x +3
Area = x² + 4x +3
How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 3? Use 3.14 for Pi.
The conical mound of soil therefore contains 254.34 cubic meters of substance.
Where can I discover volume?How much a receptacle contains can be determined by looking at its volume. Volume is calculated as follows: volume = length x breadth x height.
The following is the algorithm for a cone's volume:
V = (1/3)πr²ⁿ
where,
V is the volume r is the radius n is the height π is the value of pi.Substituting the given values, we get:
V = (1/3) x 3.14 x 9²*³
V = 254.34 cubic meters
Therefore, there are 254.34 cubic meters of material in the conical pile of dirt.
To know more about Volume visit:
https://brainly.com/question/463363
#SPJ1
76. cash to find work? (4.2) will cash bonuses speed the return to work of une,ployed people? the illinois department of employment security designed an expierment to find out. the subjects were 10,065
The experiment by the Illinois Department of Employment Security found that cash bonuses can be an effective way to incentivize unemployed people to return to work.
The experiment conducted by the Illinois Department of Employment Security provides evidence on whether cash bonuses can speed up unemployed people's return to work. The results of the experiment suggest that offering cash bonuses can be an effective way to incentivize people to find work.
Specifically, the experiment found that the group of individuals who were offered a $500 cash bonus for finding a job within 11 weeks and holding it for at least 4 months were more likely to find employment than the control group. Additionally, the group that could tell potential employers that the state would pay the employer $500 for hiring them also had a higher likelihood of finding work compared to the control group.
Learn more about cash bonuses here
brainly.com/question/18485931
#SPJ4
The given question is incomplete, the complete question is:
The Illinois Department of Employment Security designed an experiment to find out. The subjects were 10,065 people aged 20 to 54 who were filing claims for unemployment insurance. Some were offered $500 if they found a job within 11 weeks and held for at least 4 months. Others could tell potential employers that the state would pay the employer$500 for hiring them. A control group got neither kind of bonus. Will cash bonuses speed unemployed people's return to work?
if you select a single marble out of the bag, what is the probability that it is a color other than white or blue? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The above table represents the contents ( colored marble) of a bag. The probability that selected marble had a color other than white or blue is equals to the 0.766234 ( nearest to milinoth).
We have a bag that contains five different types of marbles. See the above table
number of red marbles in a bag = 16
number of green marbles in a bag = 23
number of blue marbles in a bag = 13
number of pink marbles in a bag = 20
number of white marbles in a bag = 5
So, total number of marbles in a bag= 16 + 23 + 5 + 13 + 20 = 77
Now, a single marble is selected and out of the bag. We have to determine probability that it is a color other than white or blue. Let X , Y and Z be three events defined as the following
X = selected marble is white
Y = selected marble is blue
Z = selected marble is other than blue or white
Probability of seclecting white marble, P(X) = 5/77
Probability of seclecting blue marble, P(Y)
= 13/77
Probability of seclecting blue or white marble, P(Y UX) = P(X) + P(Y) = 5/77 + 13/77 = 18/77
So, probability that selected marble has a color other than white or blue, P(Z) = 1 - P( X UY) = 1 - 18/77
= 59/77 = 0.76623376623
Hence, required probability is 0.766234.
For more information about probability, visit :
https://brainly.com/question/25688842
#SPJ4
Complete question :
The above table discribes the contents of a bag that contains red,green, blue,pink and white marbles if you select a single marble out of the bag, what is the probability that it is a color other than white or blue? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
How do I solve this?
I would suggest finding k first.
If [tex]k^2-3k+5=0\\[/tex],
[tex]k=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(5)}}{2(1)}[/tex] by the quadratic formula.
[tex]k=\emptyset[/tex] by the discriminant being negative.
So the expression in terms of k that you need to find cannot be determined.
the lifetime of a certain electronic component is a random variable with the expectation of 5000 hours and a standard deviation of 200 hours. using central limit theorem, find the probability that the average lifetime of 100 components is less than 4650 hours?
The probability that the average lifetime of 100 components is less than 4650 hours is 0.62%.
Using the Central Limit Theorem, we can find the probability that the average lifetime of 100 components is less than 4650 hours.
Let x represent the average lifetime of 100 components. The mean and standard deviation of x can be found using the following formulas:
Mean of x = 5000 hours
Standard Deviation of x = 200/sqrt(100) = 20 hours
To find the probability that the average lifetime of 100 components is less than 4650 hours, we need to use the normal distribution formula. This can be written as follows:
P(X < 4650)
⇒ P(Z < (4650-5000)/20)
⇒ P(Z < -2.5)
Using a standard normal table, the probability of Z being less than -2.5 is 0.0062, or 0.62%. Therefore, the probability that the average lifetime of 100 components is less than 4650 hours is 0.62%.
Learn more about probability here:
brainly.com/question/30034780
#SPJ11
Ally chooses a whole number
Write a number that Ally could have started with
Ally could have started with any whole number, including 0, 1, 2, 3, 4, etc. Whole numbers are numbers that don't contain any fractions, decimals, or negative numbers.
For example, 1/2 is not a whole number, but 2 is a whole number. When Ally chooses a whole number, she could choose any number that fits this criteria. For example, she could choose 0, 1, 4, 17, 100, or any other whole number.
Ally chooses a whole number. The whole numbers are integers that are greater than zero. It includes all the natural numbers (1, 2, 3, ...) and zero. Let's assume Ally selected a whole number as the question mentioned, we will have to determine the possible number options that Ally could have chosen.One whole number that Ally could have chosen could be 1. Since 1 is the first natural number, it is the smallest whole number. The other whole numbers are greater than 1. The next smallest whole number is 2, followed by 3, then 4, and so on.
There are an infinite number of whole numbers since they continue infinitely in both positive and negative directions. There is no limit to the largest or smallest whole number; therefore, Ally could have begun with any whole number.
For more such questions on whole number
https://brainly.com/question/29207899
#SPJ11
A line passes through the point (6, - 3) and has a slope of -2.
Write an equation in slope-Intercept form for thls line.
To find the equation of the line passing through the point (6, -3) with a slope of -2, we can use the point-slope form of the equation of a line:y - y1 = m(x - x1)where (x1, y1) is the given point and m is the slope.Substituting the given values, we get:y - (-3) = -2(x - 6)Simplifying, we get:y + 3 = -2x + 12Subtracting 3 from both sides, we get:y = -2x + 9So, the equation of the line is y = -2x + 9
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer in the box.
need help ASAP before 12 am, giving 20 points!!
The constant of proportionality is equal to 12.
What is a proportional relationship?In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
y represent the earnings.x represent the time.k is the constant of proportionality.In order to have a proportional relationship and equivalent ratios, the variables representing the earnings and time must have the same constant of proportionality:
Constant of proportionality, k = y/x
Constant of proportionality, k = 36/3 = 60/5 = 72/6 = 84/7
Constant of proportionality, k = 12.
Therefore, the required equation is given by:
y = kx
y = 12x
Read more on proportional relationship here: brainly.com/question/28350476
#SPJ1
Solve using geometric mean theorem.
Show all work.
Using Geometric Mean Theorem, In the given triangle, The length of altitude is 12.
Geometric Mean TheoremThe geometric mean theorem states that in a right triangle, the length of the altitude from the right angle to the hypotenuse is the geometric mean of the lengths of the two segments of the hypotenuse
In other words, the square of the length of the altitude from the right angle to the hypotenuse is equal to the product of the lengths of the two segments of the hypotenuse. And the length of the altitude itself is equal to the square root of this product.
Now,
As we know
using Geometric Mean Theorem,
hypotenuse=18+8=26
let base=a
then 26/a=a/8
a²=208
Now, using Pythagoras theorem
8²+(x+9)²=a²
(x+9)²=208-64
x+9=√144
x+9=12
Hence, The length of altitude is 12.
To know more about Geometric Mean Theorem visit the link
https://brainly.com/question/26257841
#SPJ1