The solution to the given inequality is x > 1.
Here's the process:
Distribute the 4 to the terms inside the parentheses:
4 · 2 · -4 · x < -x + 5
Simplify:
8 - 4x < -x + 5
Rearrange the equation to isolate the variable terms on one side and the constant terms on the other side.
In this case, we'll move the -x term to the left side:
-4x + x < 5 - 8
Simplify:
-3x < -3
Divide both sides of the inequality by -3.
Remember that when dividing by a negative number, the direction of the inequality symbol flips:
(-3x)/(-3) > (-3)/(-3)
Simplify:
x > 1
So, the solution to the given inequality is x > 1.
Learn more about inequality click;
https://brainly.com/question/20383699
#SPJ1
Translation =
Someone to explain to me how to solve this operation by steps 4(2-x) <-x+5
A soccer team scores 12 points in 5 matches. They scored the same number of points in each of their first 3 matches and one more point in each of their last 2. How many points did they score in each match?
Answer:
2 points the first 3 matches then 3 points the last 2 matches
Step-by-step explanation:
12 points in 5 matches and the first 3 are all the same then the other 2 increased by 1 point
They got 2 points the first 3 matches then 3 points the last 2 matches
2 + 2 + 2 (first 3 matches) = 6
3 + 3 (last 2 matches) = 6
6 + 6 = 12
On her daily homework assignments, Qinna has earned the maximum score of $10$ on $15$ out of $40$ days. The mode of her $40$ scores is $7$ and her median score is $9$. What is the least that her arithmetic mean could be
The least that Qinna's arithmetic mean could be is 7.88.
What is arithmetic mean?The arithmetic mean, often known as the mean or average when the context is obvious, is the sum of a set of integers divided by the total number of the numbers in the set in mathematics and statistics.
We know that the mode is 7, which means that she must have scored 7 more than any other score. Therefore, the 15 days where she scored 10 cannot be the mode, and they must be some of the remaining 25 scores.
Let's consider the worst-case scenario for Qinna's scores on the other 25 days. We'll assume that she scored a 6 on all of those days. This means that her scores would look like:
15 days with a score of 10
10 days with a score of 7
10 days with a score of 6
5 days with an unknown score, which we'll call x
To find the least possible mean, we want to make x as small as possible. We know that the median is 9, so the 20th and 21st scores must be 9. We also know that there are 25 scores of 6 or higher, so the 25th score must be at least 6. Therefore, the sum of the first 24 scores plus x must be less than or equal to 25 times 6 (the sum of the lowest 25 possible scores).
24(10) + x ≤ 25(6)
240 + x ≤ 150
x ≤ -90
This means that the 5 remaining scores must add up to at most -90. Since the minimum score is 6, the maximum possible value of x is 4 times 6, or 24. Therefore, the least possible value of x is -90, which means that the 5 remaining scores must add up to 90.
To minimize the mean, we want to make these 5 scores as small as possible. If we make all 5 scores equal to 6, then the sum of all 40 scores would be:
15(10) + 10(7) + 10(6) + 5(6) = 315
The mean would be 315/40 = 7.875, which rounded to the nearest hundredth is 7.88.
Therefore, the least that Qinna's arithmetic mean could be is 7.88.
Learn more about arithmetic mean on:
https://brainly.com/question/23706022
#SPJ4
How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers probability?
The total number of possible 7-place license plates are 67600000.
Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible
Let's solve the given problem:
The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.
Combination of letters: As there are no restrictions given in the question, so the first letter can be any alphabet out of the 26 alphabets (A, B, C, D, ......... Z). So the first place for the letter can be filled in ²⁶C₁ ways that are 26 ways. Also for the second place, as the letters can repeat so it can be filled in ²⁶C₁ ways too which are 26 ways. Therefore, the possible ways in which the place for two letters can be filled is 26 × 26 ways = 676 ways.Combination of numbers: As there are no restrictions given in the question so the first number can be any of the numbers out of the 10 numbers (10, 1, 2, 3, ....... 9). So the first number can be filled in ¹⁰C₁ = 10 ways. Similarly, as the numbers can repeat so the 2nd, 3rd, 4th and 5th numbers can be filled in ¹⁰C₁ ways that all the other places can be filled in 10 ways each. Therefore the total number of ways in which the place for 5 numbers can be filled is 10 × 10 × 10 × 10 × 10 ways = 100000 ways.Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled
= 676 × 100000
= 67600000 ways
Hence the total number of possible 7-place license plates are 67600000.
Know more about "permutations and combinations" here: https://brainly.com/question/13387529
#SPJ6
Select all statements that are true about retrospective studies. Subjects are grouped based on common factors. Outcomes are established prior to the study. Subjects are given a treatment or placebo. Outcomes are established after the study. Data are collected from a past time period. Data are collected at a future time period.
The true statements about retrospective studies are:
Subjects are grouped based on common factors.Outcomes are established after the study.Data are collected from a past time period.These statements accurately describe the characteristics of retrospective studies. In a retrospective study, researchers examine existing data and information to investigate the relationship between exposure factors and outcomes. Subjects are categorized based on common factors, and outcomes are determined after the study has been conducted. Additionally, data collection takes place retrospectively, referring to information collected from a past time period.
To know more about retrospectives studies, visit:
https://brainly.com/question/14265153
#SPJ11
How could you use a set of coin flips to simulate this situation?
Answer:
Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.
Step-by-step explanation:
Find the volume of the composite solid. Round your answer to the nearest tenth.
A composite solid is shown with a cone placed atop a cylinder. The height of the cone is 6 feet and the diameter of its base is 16 feet. The diameter of the circular bases of the cylinder are the same as the diameter of the cone. The height of the cylinder is 4 feet.
The volume is about
cubic feet.
Answer:
1206.4 ft³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.
__
formulasThe formula for the volume of a cone is ...
V = 1/3Bh . . . . where B is the area of the base, and h is the height
The formula for the volume of a cylinder is ...
V = Bh . . . . where B is the area of the base, and h is the height
The formula for the area of a circle is ...
A = πr² = π(d/2)² = (π/4)d²
Combining the volume formulas for a figure with the same base area, we have ...
V = B(cylinder height) + 1/3B(cone height)
V = B(cylinder height + 1/3×cone height) . . . . where B is the base area
composite volumeUsing 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...
V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³
The volume is about ...
384π ft³ ≈ 1206.4 ft³
PLZZ help me !funurn
Answer:
12/25
Step-by-step explanation:
a publisher reports that 58% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually more than the reported percentage. a random sample of 300 found that 62% of the readers owned a particular make of car. is there sufficient evidence at the 0.02 level to support the executive's claim? step 2 of 7 : find the value of the test statistic. round your answer to two decimal places.
Therefore, the value of the test statistic is 1.71.
The test statistic calculates the standard errors that separate the sample percentage from the predicted population proportion. The null hypothesis, which in this case is that the genuine proportion of readers who own the specific make of automobile is not greater than 58%, is stronger evidenced by a larger absolute value of the test statistic.
We must apply the following formula to determine the test statistic's value:
Z = (P - p) / (p*(1-p)/n), where P is the sample proportion, p is the hypothesised population proportion (0.58 in this case), n is the sample size (300), and sqrt stands for the square root.
By replacing the given values, we obtain the following result, which is rounded to two decimal places: z = (0.62 - 0.58), (0.58 * 0.42 / 300), z = 1.71.
The test statistic is positive, which indicates that the sample percentage of 62% exceeds the population proportion predicted by 58%. The difference between the sample proportion and the predicted population proportion is 1.71 standard errors distant from the mean, according to the value of 1.71. This indicates that the sample proportion is statistically significant at the 0.02 level, but in order to draw a firm conclusion, we must compare it to the critical value.
To know more about test statistic,
https://brainly.com/question/14128303
#SPJ11
T/F. Exception reports show a greater level of detail than is included in routine reports.
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
To learn more about : Exception reports
https://brainly.in/question/50910666
#SPJ8
Before running in a 100-m race, Gaalen's heart rate was
70 beats/min. Which do you think is more likely after the race:
60 beats/min or 120 beats/min? Explain.
Answer:
120 bpm
Step-by-step explanation:
after strenuous exercise your heart rate wouldn't decrease as your body needs more oxygenated blood causing your heart to pump harder and faster
Answer:
120 bpm just like the guy above
Step-by-step explanation:
I had the same question
Margie budgets a maximum amount of $27 to rent a bicycle. The rental company charges a $15 fee. What is the maximum amount of hours Margiecaan rents a bicycle if the cost to rent a bicycle is $4 per hour?
Answer:
3
Step-by-step explanation:
you have 12 dollars left. divided by 4, is 3 hours
A company is marketing a new video game. Market research indicates that 24% of the the market has seen an advertisement for the new game.
Suppose 42% of those who see the ad have purchased the game and 93% of those who have not seen the advertisement have not purchased the game. If you choose a person who purchased the game, what is the probability he or she did not see the ad?
Express your answer as a decimal, rounded to the nearest thousandth (three decimal places).
Answer =
The probability that a person who purchased the game did not see the advertisement is:0.659.
what is probability?
Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probability is used in many areas, including statistics, mathematics, science, finance, and gambling.
In the given question,
To solve this problem, we will use Bayes' theorem, which allows us to update our beliefs about the probability of an event based on new information.
Let A be the event that a person has seen the advertisement, and B be the event that a person has purchased the game. We want to find the probability of A given B, i.e., the probability that a person who has purchased the game has also seen the advertisement.
We know that P(A) = 0.24 (24% of the market has seen the advertisement), P(B|A) = 0.42 (42% of those who see the ad have purchased the game), and P(~A|~B) = 0.93 (93% of those who have not seen the advertisement have not purchased the game).
We can use the complement rule to find P(B|~A), the probability of purchasing the game given that the person has not seen the advertisement:
P(B|~A) = 1 - P(~B|~A) = 1 - 0.93 = 0.07
Now we can use Bayes' theorem:
P(A|B) = P(B|A) * P(A) / P(B)
where P(B) = P(B|A) * P(A) + P(B|~A) * P(~A)
Plugging in the values, we get:
P(B) = 0.42 * 0.24 + 0.07 * (1 - 0.24) = 0.2956
P(A|B) = 0.42 * 0.24 / 0.2956 = 0.3408
Therefore, the probability that a person who purchased the game did not see the advertisement is:
1 - P(A|B) = 1 - 0.3408 = 0.659
Rounded to the nearest thousandth, the answer is 0.659.
To know more about probability , visit:
https://brainly.com/question/30034780
#SPJ1
Use the following function rule to find g(r + 2). Simplify your answer.
g(k)= k-4
g(r + 2) =
Using the function rule, the value of g(r +2) is r-2
How can we evaluate and simply g(r + 2) using the function rule?Given the function rule g(k) = k-4.
Then g(r + 2) can be found by replacing k with r+2 in the function g(k):
g(r+2) = r + 2 - 4
= r - 2
Therefore, g(r+2) gives r - 2 when evaluated using the function rule.
Learn more about function on:
brainly.com/question/4025726
#SPJ1
Which of the following relations is a function?
OA. (1,4), (-5, 2), (7, 1), (-8, 2)
OB.
(1,4), (-5, 6), (1, 3), (-8, 2)
OC. (1,0), (-5,3), (7, 1), (-5,5)
OD. (7, 1), (-5, 4), (1, 1), (7,2)
Answer:
A. (1,4), (-5, 2), (7, 1), (-8, 2)
Step-by-step explanation:
Definition of a Function
A function is a relation between an input and an output set of values with the condition that every element in the input set relates only to one element in the output set.
From the four options presented in the question, we must select the only one that doesn't repeat the value for x and has a different value of y.
For example, the set
B. (1,4), (-5, 6), (1, 3), (-8, 2) is not a function because the input value of 1 has two different output values
C. (1,0), (-5,3), (7, 1), (-5,5) is not a function either because the input value of -5 has two different output values
The correct choice is:
A. (1,4), (-5, 2), (7, 1), (-8, 2)
Question 5(Multiple Choice Worth 2 points)
(Comparing Data LC)
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Sunny Town is symmetric
IQR, because Beach Town is skewed
Range, because Sunny Town is skewed
Range, because Beach Town is symmetric
Range because it measures the difference between the highest and lowest values in a dataset, provides a clear measure of variability for both sets of data. It is not affected by skewness or symmetry, which makes it a useful measure of variability for comparing the temperature consistency between Beach Town and Sunny Town.
What is the range?
A function's range can be used to describe one of two related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.
Here, we have
Given: A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks for every unit up to 14.
We have to determine which measure of variability should be used for both sets of data to determine the location with the most consistent temperature.
We concluded that Range because it measures the difference between the highest and lowest values in a dataset, provides a clear measure of variability for both sets of data. It is not affected by skewness or symmetry, which makes it a useful measure of variability for comparing the temperature consistency between Beach Town and Sunny Town.
To learn more about the range from the given link
https://brainly.com/question/24326172
#SPJ1
Which of the following parts does not belong to a theoretical:
A. The hypotheses corresponding to the model
B. The operationalization of the used constructs of the model
C. A logical explanation of the relationship within a model
D. A graphical respresentation of the model
The operationalization of the used constructs of the model is not typically considered a part of the theoretical aspects of a model. The correct option is (B).
Operationalization refers to the process of defining and measuring the variables or constructs in a study. It involves turning abstract concepts into observable and measurable variables.
On the other hand, the theoretical parts of a model typically include:
A. The hypotheses corresponding to the model: This refers to the specific statements or predictions derived from the theoretical framework of the model.
Hypotheses provide testable expectations about the relationships between variables in the model.
C. A logical explanation of the relationship within a model: This involves providing a theoretical rationale or logical explanation for the expected relationships between variables in the model.
It is the theoretical framework that underlies the model and helps in understanding the underlying mechanisms or processes.
D. A graphical representation of the model: Graphical representation, such as diagrams or visual models, can be used to depict the structure or relationships within a model. It helps in visualizing the connections between variables and understanding the overall framework.
Therefore, B. The operationalization of the used constructs of the model does not belong to the theoretical parts of a model.
To know more about operationalization refer here:
https://brainly.com/question/30636311#
#SPJ11
Suppose A and B represent mutually exclusive events.
What is P(A or B) if P(A)= 3/5 and P(B)= 1/3?
A- 11/15
B- 3/15
C- 14/15
D- 4/15
Answer:
14/15
Step-by-step explanation:
simple
3/5 + 1/3= 14/15
Based on the graph to the right, describe what is happening as specifically as you can, you do
not need to measure anything accurately.
it takes less time to get to the school .-.
help please !! Given sin theta= 2/5
and 0°
Answer:
C
Step-by-step explanation:
sinθ=\(\frac{2}{5}\)
θ=sin⁻¹ ( \(\frac{2}{5}\) )
θ=23.57817848
2θ=47.15635696
sin2θ=sin(47.15635696)=0.7332121112°≈ ((4\(\sqrt{21}\))/25)
Ricky has sat his summer exams.
His scores are below.
Change his scores into percentages.
Give each answer to 1 decimal place.
Maths: 17 out of 22
English: 19 out of 30
Science: 51 out of 60
French: 11 out of 12
German: 10 out of 14
Music: 19 out of 42
Geography: 19 out of 28
History: 30 out of 38
Welsh: 65 out of 70
List Ricky's top 3 subjects
Answer:
cuz i am batman hahahhaahhahah
Step-by-step explanation:
jknkkbjnnjnnbjnbknnw(n)=n-1; find w-(4)
Answer:5
Step-by-step explanation:
w(n)=4-1
=5
. find a formula for the general term an of the sequence a1 = 3 16, a2 = 5 25, a3 = 7 36, a4 = 9 49 assuming that the pattern continues.
The general term formula for the given sequence is an = (2n + 1)(n²), where n represents the position of the term in the sequence.
Let's analyze the given sequence:
a1 = 3 × 16 = 48
a2 = 5 × 25 = 125
a3 = 7 × 36 = 252
a4 = 9 × 49 = 441
We can observe that each term in the sequence is obtained by multiplying (2n + 1) with n², where n is the position of the term in the sequence. This pattern continues for all the terms in the sequence.
So, the general term formula for the given sequence is an = (2n + 1)(n²), where n represents the position of the term in the sequence.
Therefore, the formula for the general term of the sequence is an = (2n + 1)(n²).
To learn more about sequence here:
brainly.com/question/30262438#
#SPJ11
A survey was conducted to investigate whether alcohol consumption and smoking are related. In a random
sample of 300 smokers, 196 said they had consumed alcohol at least once in the past week. In an
independent random sample of 300 non-smokers, 159 said they had consumed alcohol in the past week. If
P, is the proportion of smokers in the population who have had a drink in the past week and P is the
corresponding proportion of non-smokers, then a test of the hypotheses H, P, -P-0 against the two-sided alternative produces a test statistic of z=3.07 and a P-value of 0.002. If we had instead analyzed these results with a chi-square test of homogeneity, which of the following would be the test statistic and P-value?
a-942, P-value = 0.002
b. -942, P-value-0.004
-3.07, P-value - 0.004
d. -1.75, P-value = 0.002
e-1.75, P-value=0.004
e) The test statistic and P-value for the chi-square test of homogeneity would be -1.75 and 0.004, respectively.
A chi-square test of homogeneity is a useful tool for comparing two or more categorical variables. In this case, the two variables are smoking (smokers and non-smokers) and alcohol consumption (those who had consumed alcohol in the past week and those who hadn't).
The chi-square statistic is calculated by finding the difference between the observed and expected frequencies of the two groups and squaring it. The expected frequencies are found by multiplying the sample size by the overall probability of success (in this case, drinking alcohol).
The P-value is then calculated based on the chi-square statistic and the degrees of freedom (in this case, one). In this case, the chi-square statistic is -1.75 and the P-value is 0.004.
For more questions like P-value click the link below:
https://brainly.com/question/14790912
#SPJ4
pls give explanation and steps ik it equals zero
f(5)=-(5)^3+7(5)^2-7(5)-15
Answer:
0 (as you already know)
Step-by-step explanation:
First we will simplify both sides of this equation:
5f = -125 + 175 + -35 + -15
Now we are going to Combine Like Terms:
5f = (-125 + 175 + -35 + -15)
5f = 0
Divide both sides by 5
5f / 5 = 0 / 5
F = 0
Hope this helps
simplified expression for (-3 + 4x to the power of 2 - 4x) + (-1 - 3x to the power of 2 - 4)
Answer:
x^2 - 4x - 8
Step-by-step explanation:
see image.
combine like terms.
The Hernandez family built a backyard patio. The width and length of the patio are whole numbers. What could be the dimensions of the patio?
Area = 150 square feet
Answer:
10 x 15 feet
Step-by-step explanation:
Possible answers
1 x 150
2 x 75
3 x 50
5 x 30
10 x 15 seems the most reasonable size for a patio
What is the amplitude of the sinusoidal function shown?
The amplitude of the graph of a sine function is 2.
Given is sinusoidal function, we need to find the amplitude of the function.
We know,
The amplitude of the graph of a sine function is the vertical distance from the top of a peak to the center line.
This is the same as the vertical distance from the top of a peak to the lowest point on the graph, divided by 2.
The vertical distance = 8
Amplitude = 8
Hence the amplitude of the graph of a sine function is 2.
Learn more about amplitude, click;
https://brainly.com/question/8662436
#SPJ1
Find the x-intercepts of the graph
Answer:
(1,0) and (3,0)
Step-by-step explanation:
y=x^2-4x+3
To factor we need to know what numbers add up to -4 and multiply will equal to 3.
y=(x-3)(x-1)
The zeroes would be 3 and 1.
x=3 so y=0 for (x-3)
x=1 so y=0 for (x-1)
If right pls give me brainliest thank you.
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
\(y=x^2-4x+3\)
Plug y as 0 to find the x-intercepts.
\(0=x^2-4x+3\)
Factor right side.
\(0=x^2-1x-3x+3\)
\(0=x(x-1)-3(x-1)\)
\(0=(x-1)(x-3)\)
Set factors equal to 0.
\(x-1=0\\x=1\\x-3=0\\x=3\)
x=1 or x=3 when y=0
Find the function's domain . Enter your answer in interval notation.
ya man it's kinda hard I don't really know
The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election. What percentage of the members voted?
The percentage of members that voted is 70%.
How to find the percentage of members that voted?The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election.
Therefore, the percentage of the members that voted can be calculated as follows;
percentage that voted = number of people that voted / total number members × 100
Therefore,
number of people that voted = 42
total number members = 60
Hence,
percentage that voted = 42 / 60 ×100
percentage that voted = 4200 / 60
Therefore,
percentage that voted = 70%
learn more on percentage here: https://brainly.com/question/10915507
#SPJ1