Answer:
9 is the constan trate of change.
Step-by-step explanation:
Assuming two points of the graph with the form as P=(x,y) you can find the constant rate m using the slope formula.
m=(y2-y1)/(x2-x1)
Lets say that P1=(0,0) and P2=(1,9), then:
m= (9 – 0)/(1-0)
m=9
Therefore, the point (0,0) means that when you are not buying any t-shirt then you dont have any waste of money. The point (1,9) means that when you are buying one t-shirt then you have to pay 9 then its result that cost of each t-shirt is 9 so when you are buying two t-shirt then you have to pay 18, when you are buying three you have to pay 27 likewise.
an airplane is at an elevation of 30000 ft when it begins to approach to an airport. its angle of depression is 8 degrees. what is the distance between the airport and the point on the ground directtly below the plane
The distance between the airport and the point on the ground directtly below the plane is x=-4411.95221
A plane in geometry is a two-dimensional, flat surface. It has no thickness and never ends. An example of a geometric plane might be a sheet of paper or the surface of a wall. The term "plane figures" refers to the flat geometric shapes. In geometry, a plane is a surface made up of all the lines that are parallel to one another and connect any two locations on it. It is a level or flat surface, to put it another way. A plane is uniquely defined in any of the following ways in a Euclidean space of any number of dimensions: with the aid of three non-collinear points. A plane is a fictitious flat surface that passes through the body.
Based on the given,
Formulate:
\(tan8=\frac{30000}{x}\)
Evaluate the equation/expression:
\(x=-4411.95221\)
Learn more about plane here
https://brainly.com/question/26262923
#SPJ4
A stack of wood 4 feet wide, 8 feet long, and 4 feet high is equal to 1 cord of wood. How Many cords would a pile 4 feet wide, 16 feet long, and 4 feet high contain
Answer:
There will be two cords of wood in one pile of wood
Step-by-step explanation:
1 cord of wood is equal to 4 feet wide, 8 feet long, and 4 feet high
Volume of 1 cord of wood
\(= L * B * H\)
Substituting the give values we get
Volume of 1 cord of wood \(= 4 * 8 * 4\)
Volume of pile \(= 4 * 16 * 4\)
Number of cord in one pile of wood is equal to volume of pile divided by volume of one cord
\(\frac{4*16*4}{4*8*4} = 2\)
There will be two cords of wood in one pile of wood.
-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O
The quadratic inequality defined on the graph is given as follows:
y ≥ 2/3(x + 3)² - 24.
How to define the quadratic inequality?The coordinates of the vertex of the quadratic function are given as follows:
(-3, -24).
Hence the quadratic function is given as follows:
y = a(x + 3)² - 24.
In which a is the leading coefficient.
When x = 3, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(3 + 3)² - 24
36a = 24
a = 24/36
a = 2/3.
Hence:
y = 2/3(x + 3)² - 24.
The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:
y ≥ 2/3(x + 3)² - 24.
More can be learned about quadratic functions at https://brainly.com/question/1214333
#SPJ1
Round your answer to the nearest hundredth.
Answer:
26
Step-by-step explanation:
26
Given
mZAOC is a straight angle.
MZAOB = 8x + 51°
mZBOC = 6x - 25°
Find mZAOB=
Answer:
∠ AOB = 139°
Step-by-step explanation:
Since AOC is a straight line then
∠ AOB + ∠BOC = 180° , that is
8x + 51 + 6x - 25 = 180
14x + 26 = 180 ( subtract 26 from both sides )
14x = 154 ( divide both sides by 14 )
x = 11
Then
∠ AOB = 8x + 51 = 8(11) + 51 = 88 + 51 = 139°
pls..help having very hard time, actually help <3..lol
Question 4: In the fourth quadrant, the point will be in the form
(+,+)
(+,-)
(-,+)
(-,-)
Answer:
(+,-)
Step-by-step explanation:
quadrant 1 is (+,+)
quadrant 2 is (-,+)
quadrant 3 is (-,-)
quadrant 4 is (+.-)
There are 44,000 adults living in Oak city in examining attitudes according to the news of research group as random sample of Oak city adults what is your main source of news the results are shown below based on the sample predict the number of adults in Oak city whose main source of the news is television on your answer to the nearest whole number do not run by any intermittent calculations
The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85
To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".
According to the sample data
Number of adults who answered "Newspapers": 64
Number of adults who answered "Radio": 21
Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition
64 + 21 = 85
Rounding this answer to the nearest whole number, we get
85 ≈ 85
Learn more about addition here
brainly.com/question/29791798
#SPJ4
The given question is incomplete, the complete question is:
There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.
Which is the better buy? 12 oz bag of Doritos for $3.60 or a 3 oz bag for
$1.50. *
the following is a random sample of the annual salaries of high school counselors in the united states. assuming that the distribution of salaries is approximately normal, construct a 90�% confidence interval for the mean salary of high school counselors across the united states. round to the nearest dollar. $50,810,$36,380,$50,870,$55,860,$61,800,$36,280,$62,890
We can be 90% confident that the true mean salary of high school counselors in the United States falls within the range of $43,298.79 to $57,578.35.
To construct a 90% confidence interval for the mean salary of high school counselors in the United States, we can use the formula:
Confidence Interval = Mean ± (Z * Standard Error)
Step 1: Calculate the mean of the sample salaries:
Mean = ($50,810 + $36,380 + $50,870 + $55,860 + $61,800 + $36,280 + $62,890) / 7
= $50,438.57 (rounded to the nearest dollar)
Step 2: Calculate the standard deviation of the sample salaries:
Standard Deviation = √( [($50,810 - $50,438.57)² + ($36,380 - $50,438.57)² + ($50,870 - $50,438.57)² + ($55,860 - $50,438.57)² + ($61,800 - $50,438.57)² + ($36,280 - $50,438.57)² + ($62,890 - $50,438.57)²] / 6 )
= $11,478.84 (rounded to the nearest dollar)
Step 3: Calculate the standard error:
Standard Error = Standard Deviation / √(sample size)
Standard Error = $11,478.84 / √(7) = $4,340.61 (rounded to the nearest dollar)
Step 4: Determine the Z-value for a 90% confidence level.
Z-value = 1.645 (lookup from Z-table for 90% confidence level)
Step 5: Calculate the Confidence Interval:
Confidence Interval = $50,438.57 ± (1.645 * $4,340.61)
= $50,438.57 ± $7,139.78
We can be 90% confident that the true mean salary of high school counselors in the United States falls within the range of $43,298.79 to $57,578.35.
To know more about standard deviation visit:
brainly.com/question/13498201
#SPJ11
Help me please. Quick!
Answer:
7
Step-by-step explanation:
if the total is 49 squared, and squared means a number times itself, then the answer would be whatever number times itself is 49, will be the answer in this case, its 7
Ex: 9 squared=3x3
in the year 2000, there were a reported 7,867 cases of whooping cough in the us, while in the year 2002, there were 9,771 cases, according to the cdc. what might be misleading about concluding from these data that more people were getting whooping cough in 2002?
The data does not take into account population increases over the two years. It is possible that there were more people in 2002, so the number of cases could have gone up without there being an actual increase in the rate of infection.
It could also be the case that better reporting and the more accurate diagnosis were responsible for the increase in numbers. The two-year period could also be too short to draw any meaningful conclusions. Diseases can have long-term cycles of increase and decrease, so it is possible that the increase in numbers was just part of a longer-term cycle that had already been in progress.
To accurately assess the situation, it would be necessary to look at longer-term data and take into account changes in population size.
To know more about diagnosis refer to the link brainly.com/question/29891523
#SPJ4
What is (z+5)+(2-4) in simplest form? Explain how you found your answer.
2.106 The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively. Find the probability that in this 30-minute period
Therefore, the probability of pumping gas into more than 5 cars during the 30-minute period is 0.
To find the probability of an event, we sum the probabilities of the individual outcomes that make up the event. In this case, we want to find the probability that the service station will pump gas into more than 5 cars during the 30-minute period.
The given probabilities for pumping gas into 0, 1, 2, 3, 4, and 5 or more cars are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively.
To find the probability of pumping gas into more than 5 cars, we need to sum the probabilities of pumping gas into 0, 1, 2, 3, 4, and 5 cars and subtract it from 1:
P(more than 5 cars) = 1 - [P(0 cars) + P(1 car) + P(2 cars) + P(3 cars) + P(4 cars) + P(5 cars)]
P(more than 5 cars) = 1 - (0.03 + 0.18 + 0.24 + 0.28 + 0.10 + 0.17)
P(more than 5 cars) = 1 - 1.00
P(more than 5 cars) = 0
To know more about probability,
https://brainly.com/question/14928333
#SPJ11
Which value is a solution of the inequality 1/4 y > 8?
8
16
24
32
The solution of the given value of y is less than 32.
What is inequality?
Mathematical expressions with inequalities on both sides are known as inequalities. In an inequality, we compare two values as opposed to equations. In between, the equal sign is changed to a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
1/4 y > 8
multiply 4 in both side
SO 1/4 *4 y>8*4
y>32
Hence The solution of the given value of y is less than 32.
Learn more about inequality, by the following link
https://brainly.com/question/231802
#SPJ1
Which expression is equivalent to √147
Write an equation in point-slope form of the line that passes through (-3, 2) and (6, - 1)
Answer:
y - 2 = -1/3 (x + 3)
Step-by-step explanation
Sorry!
Point-slope form )
Slope = (-1 -2)/(6 - (-3)
Slope = -3/9
Slope = -1/3
Using the point-slope formula and point (-3, 2)
y - 2 = -1/3(x - (-3)
y - 2 = -1/3 (x + 3) This is = to y = -1/3(x + 3) +2
What is the area of ⊙X expressed in terms of π?
The area of the circle of diameter 9, expressed in terms of π, is given as follows:
A = 20.25π
How to calculate the area of a circle?The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:
A = πr²
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.
From the circle in the image, the diameter is of 9 units, hence the radius is given as follows:
r = 9/2
r = 4.5.
The square of 4.5 is of 20.25, hence the expression for the area of the circle is given as follows:
A = 20.25π
More can be learned about the area of a circle at https://brainly.com/question/15673093
#SPJ1
Solve for b.
a−b+c−−−−−−−√=3
b=−9+a√+c√
b=−9+a+c
b=3−a−c
b=−3+a√+c√
Answer:
The answer is b = -9 + a + c
For the list {12, 15, 13, 20, 23, 27, 25, 36, 40}, how many elements will be compared to find 25 using linear search
7 elements will be compared to find 25 using linear search
What is linear search?A linear search, also known as a sequential search, is a technique used in computer science to locate an element inside a list.Up until a match is discovered or the entire list has been searched, each element of the list is successively checked.In worst-case linear time, a linear search performs at most n comparisons, where n is the length of the list.A linear search has an average case of n+1/2 comparisons if each element is equally likely to be searched, but the average case can be impacted if the search probability for each element differ.Since other search algorithms and schemes, such the binary search algorithm and hash tables, provide substantially faster searching for all but short lists, linear search is rarely practical.To learn more about linear search with the given link
https://brainly.com/question/15178888
#SPJ4
Use the dropdowns to complete the following statement.
The measure of an _____ angle of a triangle is _____ the _____ of its two ____ angles.
First dropdown: corresponding, interior, exterior, alternate
Second dropdown: equal to, less than greater than
Third dropdown: sum, quotient, difference, product
Fourth dropdown: adjacent, supplementary, remote interior, exterior
For a family with 3 children, what is the probability that they have exactly 2 boys and 1 girl?
Answer:
\(\frac{3}{8}\)
Step-by-step explanation:
Possibilities (G for girls and B for boys):
GGG
GGB
GBG
GBB
BGG
BGB
BBG
BBB
Answer:
1/4
Step-by-step explanation:
There are a total of four possibilities,
- Three girls
- Three boys
- Two girls and One boy
- Two boys and One girl
and only one of those options are 2 boys and 1 girl
Charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take Charlie to run 5 laps?
Number of laps 2 4 6 8 10
Time (min) 18 36 54 72 90
It will take Charlie ___
minutes to run 5 laps.
270 mins - 10 laps
xmins -5 laps
(cross multiply)
270*5=10x
10x=1350
x= 1350/10
x=135 mins
Which is the endpoint of a ray?
Opoint R
O points
Opoint T
O point U
Answer:
B-
point s
Step-by-step explanation:
I just did the quiz, this is the correct answer
Point S is the endpoint of the rays.
Option B is the correct answer.
What is a ray?In geometry, a ray is a straight line that starts from a specific point (called the endpoint) and extends infinitely in one direction.
A ray can be thought of as a part of a line that has one endpoint and continues indefinitely in one direction.
We have,
A ray is a line that starts from a specific point and extends infinitely in one direction.
The starting point of the ray is called the endpoint, and the other end of the ray extends indefinitely.
Therefore, a ray does not have an endpoint in the direction it extends, but only at its starting point.
From the figure,
The ray SR, SU, and ST have one common starting point.
i.e Point S.
Thus,
Point S is the endpoint of the rays.
Learn more about rays here:
https://brainly.com/question/17491571
#SPJ7
Write an equation where x
represents the number of
hours: Shinya makes $350
weekly. She earns $15 per
hour.
Answer:
15
Step-by-step explanation:
The count of bacteria in a certain experiment was increasing at a rate of 2.5% per hour. if the experiment started with 1600. find the count of the bacteria at the end of 22 hours.
DONT ADD ANY LINK PLEASE I WILL REPORT AND PLEASE ANSWER CORRECTLY AND FAST I WILL MARK BRAINLIEST
Three of these fractions are equivalent: B. 12 C . 21 D. 74 30 A. . 70 Which one is the odd one out?
Answer:
12/30
Step-by-step explanation:
Here is the complete question
Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out
to determine the equivalent fractions, convert the fractions to percentage
\(\frac{30}{70}\) × 100 = 42.86%
\(\frac{12}{30}\) × 100 = 40%
\(\frac{9}{21}\) × 100 = 42.86%
\(\frac{6}{14}\) x 100 = 42.86%
Another method is to convert the fraction to its simplest form
30/70
To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7
12/30
To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5
9/21
To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7
6/14
To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7
Using either methods, 12/30 is the odd one out
You are choosing between two health clubs. club a offers a membership for a fee of $40
After 5 months the total cost at each health club be the same.
Given that, club A offers membership for a fee of $40 plus a monthly fee of $25.
Let the number of months be x.
Membership fee of club A = 40+25x ------(i)
Club B offers a membership fee of $15 plus a monthly fee of $30.
Membership fee of club B = 15+30x
The total cost at each health club be the same
40+25x = 15+30x
30x-25x=40-15
5x=25
x=25/5
x=5
Therefore, after 5 months the total cost at each health club be the same.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ4
"Your question is incomplete, probably the complete question/missing part is:"
You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers a membership fee of $15 plus a monthly fee of $30.
Using variables of your choice, set-up an equation for each club’s membership cost. Make sure your variables are defined clearly.
After how many months will the total cost at each health club be the same?
The value of Jk lies between 2. 2 and 2. 3.
Select all possible values of k.
1. 49
4. 8
5
5. 04
5. 3
6
To determine the possible values of k given that Jk lies between 2.2 and 2.3, we need to select all the values of k from the given options that satisfy the condition. The explanation below will provide the solution.
Since Jk lies between 2.2 and 2.3, we can conclude that the value of k should produce a result between these two values when substituted into the expression Jk.
Let's evaluate the given options:
1.494: When substituted into Jk, this value falls within the range of 2.2 and 2.3.
0.855: When substituted into Jk, this value does not fall within the range of 2.2 and 2.3.
0.045: When substituted into Jk, this value does not fall within the range of 2.2 and 2.3.
0.36: When substituted into Jk, this value does not fall within the range of 2.2 and 2.3.
Therefore, the possible values of k that satisfy the given condition are 1.494.
In summary, the only possible value of k from the given options that makes Jk lie between 2.2 and 2.3 is 1.494.
Learn more about range here:
https://brainly.com/question/29204101
#SPJ11
Use at least 5 decimals in your calculations in this question. The university would like to see whether the math course of linear algebra can help students improve grades in the econometrics class. They select two groups of students. The students in one group are a random sample of students who took the math course before the econometrics class ( X population). The students in the other group are an independent random sample of students who did not take the math course before the econometrics class ( Y population). Assume student course scores are approximately normally distributed in each population. Assume the population variances are unknown but the same for two. In a random sample of 23 students from the X population (who took the math course), the mean econometrics course scores were 80 and the standard deviation was 8 . In an independent random sample of 16 students from the Y population (who did not take the math course), the mean econometrics course scores were 70 and the standard deviation was 6. 1. Use the rejection region approach to test the null hypothesis that the mean econometrics course scores are the same in the two populations of students, against the alternative hypothesis that the means are different. Use a 10% significance level. Give the rejection region in terms of the test statistic Xˉ − Yˉ. Be sure to include the sampling distribution of the test statistic and the reason for its validity in the problem as part of your answer. 2. Give the 90% confidence interval. Use this confidence interval to reach a conclusion in the hypothesis test about the means of the populations (from the first question). Be sure to explain how you reach a conclusion. 3. Test the null hypothesis that the variances of the distributions of econometrics course scores in the two populations are the same against the alternative hypothesis that the variances are different. Use the rejection region approach and a 10% level of significance. 4. Calculate the 90% confidence interval for σ^2/x/σ^2/y2. Explain how to use the calculated confidence interval to reach a conclusion in a test of the null hypothesis that the variances of the populations are the same, against the alternative hypothesis that the variances are different, at a 10% level of significance.
The scores in the econometrics class were approximately normally distributed in both populations, with unknown but equal variances. A random sample of 23 students from the X population had a mean econometrics score of 80 and a standard deviation of 8.
The study aims to compare the performance of students who took the math course (X population) with those who did not (Y population) in the econometrics class. By selecting random samples from both populations, the researchers can evaluate whether there is a significant difference in their econometrics scores.
The sample of 23 students from the X population had an average econometrics score of 80, with a standard deviation of 8. This information provides an estimate of the mean and variability of the econometrics scores for the X population. However, to draw conclusions about the entire X population, statistical inference techniques can be employed.
A common approach is to conduct a hypothesis test, such as a two-sample t-test, to determine if there is a significant difference in the means of the two populations. The test considers factors like the sample means, sample sizes, and the assumed equal variances of the two populations. The analysis would provide insights into whether the math course in linear algebra has a significant impact on the grades in the econometrics class.
Learn more about hypothesis here:
https://brainly.com/question/32562440
#SPJ11