Using Pythagoras theorem, the numbers are from a right angled triangle
Pythagoras TriplePythagorean triples are a2+b2 = c2 where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.
In this question, to find out if the numbers are a Pythagorean triple, we can use pythagoras theorem while assuming the longer side is the hypothenuse.
13² = 12² + 5²
169 = 144 + 25
169 = 169
The numbers are Pythagorean triple because the sum of square of the two sides is equal to the square of the hypothenuse.
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a sample of 1500 computer chips revealed that 69% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature claimed that 72% do not fail in the first 1000 hours of their use. is there sufficient evidence at the 0.05 level to dispute the company's claim? state the null and alternative hypotheses for the above scenario.
At a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.
What is the null hypothesis in statistics?
The null hypothesis in inferential statistics states that two possibilities are the same. The null hypothesis states that the observed difference is solely due to chance. The likelihood that the null hypothesis is true can be calculated using statistical tests.
Sample size, n =1500
The sample proportion of the chips that do not fail in the first 1000 hrs of their use, [tex]\hat{p} = 0.69[/tex]
Null Hypothesis, H0: p=0.72
Alternate Hypothesis, [tex]Ha: p \neq 0.72[/tex]
Test statistic,
[tex]z= \frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}} - \frac{0.69-0.72}{\sqrt{\frac{0.72(1-0.72)}{1500}}} = -2.5877[/tex]
Critical Value,
[tex]Z_{0.05/2} =[/tex]±1.96
Now, since the absolute value of the test statistic i.e, 2.5877 is greater than the absolute value of the critical value i.e, .1.96, thus we will reject the null hypothesis.
Thus at a 0.01 significance level, we do not have enough evidence to support the claim that 72% do not fail in the first 1000 hrs of their use.
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Linear Equations w/ Distribution 2(3y-8)=8?
Answer:
Step-by-step explanation:
2(3y-8)=8
First we distribute the numbers inside the brackets, 2x3y , 2x8=
6y-16=8, then, we put the 16 on the other side which turns it positive,
6y=8+16
6y=24
y=4
Sorry for the bad explanation.
Leggings are on sale for 10% off the
original price. What is the sale price of
leggings with an original price of $45?
C.$40.50
d. $41.50
a. $35
b. $4.50
Answer:
Your answer is C) $40.50
Step-by-step explanation:
[tex]0.1[/tex] × [tex]45 = 4.5[/tex]
[tex]45 - 4.5 = 40.50[/tex]
Answer: C) $40.50
Step-by-step explanation:
Which inequality represents the sentence? the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6. â€""3.2n 1.5 less-than-or-equal-to 8.6 â€""3.2n 1.5 greater-than-or-equal-to 8.6 â€""3.2 1.5n less-than-or-equal-to 8.6 3.2 1.5n less-than-or-equal-to 8.6
Inequality (C) -3.2 + 1.5n ≤ 8.6 correctly represents the sentence "the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6."
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
Both mathematical phrases, equations, and inequalities are created by connecting two expressions.
The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.
The symbols >, <, ≤ or ≥ indicate that the two expressions in inequality are not always equal.
So, the sentence we have is:
the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6
Which can be written in inequality as:
-3.2 + 1.5n ≤ 8.6
Therefore, inequality (C) -3.2 + 1.5n ≤ 8.6 correctly represents the sentence "the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6."
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Correct question:
Which inequality represents the sentence?
the sum of negative 3.2 and 1.5 times a number is a maximum of 8.6.
a. -3.2n + 1.5 less-than-or-equal-to 8.6
b. -3.2n - 1.5 greater-than-or-equal-to 8.6
c. -3.2 + 1.5n less-than-or-equal-to 8.6
d. -3.2 - 1.5n less-than-or-equal-to 8.6
what is a simpler form for the radical expression 4√2401x^12y^16
Answer:
[tex]49x^{6}[/tex][tex]y^{8}[/tex]
Step-by-step explanation:
1. Factor 2401 into its prime factors
2401 = 74
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
2401 = 74
No factors remain inside the root!!
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
49 = 72
At the end of this step the partly simplified SQRT looks like this:
49√(x^12y^16)
2. Rules for simplifying variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
(3.1) √(x8)=x4
(3.2) √(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
(4.1) √(x5)=x2•√(x)
(4.2) √(x-7)=x-3•√(x-1)
Applying these rules to our case we find out that
SQRT(x12y16) = x6y8
Combine both simplifications:
sqrt (2401x12y16) =
49x6y8
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 2 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
F(x)= 5x and g(x)= 5x + 3 graph
Answer:
F
5
x
+
3
=
25
x
+
15
what information is missing for the interpretation of an anova if you only run an omnibus/overall anova (without any post-hoc tests)? why do we need to run follow up tests when we conduct a one-way anova?
The statistical method known as analysis of variance (ANOVA) is used to examine how different means differ from one another.
When you only run an omnibus/overall anova without any post-hoc tests, you will be unable to determine which of the groups are statistically different from each other. This is because an omnibus/overall anova simply tells you whether there is a significant difference between any of the groups, but does not tell you which groups are different. Follow up tests are needed to determine which of the groups are statistically different from each other.
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which of the following examples are vague questions? select all that apply. 1 point how much time did you spend waiting in line? do you generally prefer hot or cold?
How much time did you spend in line, question 1? is a direct response to the second question, "Do you like hot or cold?" is a vague query.
An inquiry that lacks focus on a particular subject area and is wide, ambiguous, unclear, and nebulous in nature. You won't be able to adequately analyze the data acquired at the end of the day if your survey has ambiguous questions.
You should use specific language in your survey questions, so make sure to do so. Additionally, make sure to refrain from using technical jargon and terminology that few people can normally grasp in your surveys.
Questions that are excessively general or insufficiently specified are ambiguous or vague. Generic responses that aren't pertinent to your research are frequently the outcome. Make sure your survey questions are written simply and in a way that respondents will find them simple to understand in an effort to avoid vague survey questions.
Typical Vague Questions
Do you believe our clients would advocate for us?
Are we superior to other ed-tech businesses?
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a one-way analysis of variance experiment produced the following anova table. assume normality in the underlying populations. (you may find it useful to reference the q table). summary groups count average column 1 6 0.89 column 2 6 1.31 column 3 6 2.35 source of variation ss df ms f p-value between groups 8.65 2 4.33 16.65 0.0002 within groups 3.83 15 0.26 total 12.48 17 picture click here for the excel data file a. conduct an anova test at the 1% significance level to determine if some population means differ. multiple choice reject h0; we can conclude that some population means differ. reject h0; we cannot conclude that some population means differ. do not reject h0; we can conclude that some population means differ. do not reject h0; we cannot conclude that some population means differ. b. calculate 99% confidence interval estimates of μ1 − μ2, μ1 − μ3, and μ2 − μ3 with tukey’s hsd approach. (if the exact value for nt − c is not found in the table, then round down. negative values should be indicated by a minus sign. round your answers to 2 decimal places.) c. given your response to part b, which means significantly differ?
The confidence interval for the one-way analysis of variance experiment be, (136.27 , 163.73).
On Subtracting 1 from your sample size, we get
1000 – 1 = 999.
On Subtracting confidence level from 1, and then divide by two.
(1 – .99) / 2 = 0.005
Now, df = 999 and α = 0.005
from the table at df = 999 we got 3.274.
Divide your sample standard deviation by the square root of your sample size.
150 / √(1000) = 4.74
Now, 3.274 × 4.74 = 13.73
So, the confidence interval be,
(150 - 13.73 , 150 + 13.73) = (136.27 , 163.73)
Hence, the confidence interval for the one-way analysis of variance experiment be, (136.27 , 163.73).
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which statement(s) correctly describe the coefficient of multiple determination (r2)? select all that apply. multiple select question. it can range from 0 to 1. it can range from -1 to 1. it is the percent of explained variation. it is the same as the correlation coefficient.
The coefficient of multiple determination is describe as it ranges from
0 to 1.
As given in the question,
Explanation about coefficient of multiple determination is as follow:
Coefficient of determination is represented as the square of the correlation.In case of linear regression also, coefficient of determination is represented by the square of the correlation between two given variables.If the coefficient of determination R2 is equal to 0 then value of dependent variable cannot be predicted using independent variable.Coefficient of determination is ranges from 0 to 1.Therefore, the coefficient of multiple determination is ranges from 0 to 1.
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grant is thinking of two numbers. he says that one of the numbers is 5 times the other number and the sum of the numbers is 36. what are the numbers?
The numbers are 8 and 40, according to the given question.
What do you mean by number?
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples. Number words are a linguistic way to express numbers.
According to data in the question,
We have given information:
Sum of the numbers are 36.
The numbers are "x" and "5x";
Now, we can suggest this equation:
x+5x=48
6x=48
x=48/6
x=8
The numbers are:
x=8
5x=5(8)=40.
Therefore, the numbers are 8 and 40.
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Evaluate f(x)=2x^2+5x-17 find f(-1)
Translate the following arguments into symbolic form and use the first eight rules of inference to derive the conclusion of each. Use the letters in the order in which they are listed.If clear-cutting continues in primary forests and the Endangered Species Act is not repealed, then either the Endangered Species Act will be repealed or thousands of animal species will become extinct. Clear-cutting continues in primary forests. The Endangered Species Act will not be repealed. Therefore, thousands of animal species will become extinct. (C, E, T)
According to the Endangered Species Act, selling an endangered plant is prohibited. Likewise, exploiting the habitat of an endangered animal is also a punishable act.
The Endangered Species Act is a law created for the conservation of threatened and endangered plants and animals and the habitats in which they are found. The law prohibits any act of taking and selling of any endangered Species.
Endangered Species Act will be repealed or thousands of animal species will become extinct. Clear-cutting continues in primary forests. The Endangered Species Act will not be repealed. Therefore, thousands of animal species will become extinct. (C, E, T)
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in its simplest form, kanban consists of a whiteboard divided into multiple columns. what are they titled?
The correct option for whiteboard of the Kanban are-
b) Planned; e) Done; f) WIP
Explain the term Kanbanboard?The work that needs to be done, that work that is being done, and the work that has been finished are all displayed on a Kanban Board.
It's a graphic representation of a person's, a team's, or a department's value stream, which has been diagrammed on a board, a wall, or specifically designed Kanban software.The purpose of the Kanban technique applied to knowledge management is the same as it was in manufacturing even though it was developed as a stock management tool in Toyota manufacturing: better visualize work, restrict work progress, optimize flow, and uncover improvement opportunities.Thus, the more visible a Kanban board is, the better; optimum outcomes are likely to be achieved when a team can always see it.
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The complete question is-
In its simplest form, Kanban consists of a whiteboard divided into multiple columns. What are they titled?
a) In Queue
b) Planned
c) Opened Ticket
d) Delayed
e) Done
f) WIP
In interval estimation, as the sample size becomes larger, the interval estimate
becomes narrower. becomes wider. remains the same, because the mean is not changing.
gets closer to 1.96.
In interval estimation, as the sample size becomes larger the interval estimate becomes narrower.
What is interval estimation?
In statistics, interval estimation is that the use of sample information to estimate associate interval of plausible values of a parameter of interest. this can be in distinction to purpose estimation, which provides one price.
Main body:
A larger sample size or lower variability can end in a tighter confidence interval with a smaller margin of error. A smaller sample size or the next variability can end in a wider confidence interval with a bigger margin of error.
Hence, as the sample size becomes larger the interval estimate becomes narrower.
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A group of friends wants to go to the amusement park. They have no more than $190 to spend on parking and admission. Parking is $7, and tickets cost $15. 25 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
With $190, a maximum of 12 people can visit the theme park, where admission costs $15.25 per person and parking costs $7.
What is inequality?In mathematics, "inequality" refers to a connection between two expressions or values that are not equal to one another. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in lieu of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x values for which the inequality holds true is what we are most interested in.
Here,
The total amount they can spend=$190
Cost of parking=$7
Cost of ticket per person=$15.25
Let the number of person be x,
15.25x+7≤190
15.25x≤183
x≤12
There can be at most 12 person that can go to the amusement park with $190 where cost of tickets is $15.25 per person and cost of parking is $7.
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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.
A randomly chosen Endure All battery has a 10.56% chance of surviving more than 550 hours based on the z-score.
What do we mean by z-score?A Z-score quantifies how closely a value relates to the mean of a set of values.
Using standard deviations from the mean, the Z-score is computed.
When a data point's Z-score equals 0, it means that the total value of the data point is equal to the mean value.
So, the Z score is used to calculate how much the raw score deviates from the mean.
The Z score is calculated using the following steps:
z = (x - μ)/σ
We know that: x > 550 and μ = 500, σ = 40
z = 550 - 500 / 40
z = 1.25
According to the normal distribution graph:
P(z > 1.25) = 1 - P(z < 1.25)
P(z > 1.25) = 1 - 0.8944
P(z > 1.25) = 0.1056
Therefore, a randomly chosen Endure All battery has a 10.56% chance of surviving more than 550 hours based on the z-score.
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) assuming the sample mean and standard deviation are indicative of the class as a whole, in what range does the empirical rule predict that approximately 68% of the class will rank you? ,
Assuming the sample mean and standard deviation are indicative of the class as a whole, the range your class might rank you is from 3 to 9.
What is the sample mean?
The term "Sample Mean" describes the average value of a sample of data taken from a sizable population of data. If the sample size is large and the statistical researchers select random population fragments, it is an effective tool for determining the population mean.
When the sample is large and representative, the estimate of the population mean, which is the average value across the entire population, is more likely to be close to the population mean.
Solution Explained:
So, we know sample mean = 3 and standard deviation = 6
And according to the empirical rule, 68% of the data is within the first standard deviation.
So,
6 - 3 = 3
6 + 3 = 9
Therefore the range of rank for you is from 3 to 9.
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subtract 10 - 2 1/4
Answer: 7 3/4
Explanation:
Keep in mind that 2 1/4 = 2 + 1/4
10 - 2 = 8
8 - 1/4 = 7 3/4
Therefore your answer is 7 3/4
Answer:
7 3/4
Step-by-step explanation:
Take 1 away from 10 and write 10 as 9 + 1.
1 = 4/4, so 10 = 9 + 4/4 or simply 9 4/4.
Now subtract 2 1/4 from 9 4/4.
9 4/4 - 2 1/4
9 4/4
- 2 1/4
-------------
7 3/4
Lauren is working furiously to knit scarves and beanies for a craft fair next weekend. Yesterday she completed 3 scarves and 1 beanie, using a total of 23 yards of yarn. The day before, she used 27 yards to knit 3 scarves and 3 beanies. Assuming Lauren is using the same pattern and type of yarn for each scarf and beanie, how much yarn does each project require?
Answer:
Step-by-step explanation:
9
for the following 3 questions: a study obtained data on the amount of time 28 randomly selected high school students and 31 randomly selected college students spend on their cell phones each day. the investigator is interested in determining whether there is evidence that the amount of time students spend on their cell phone is different between high school and college Let H= time spent on phone by high school students; C= Time spent on phone by college students; and d=H−C
The data are not paired because: o All of these are true o Each element in a sample is measured once: time spent on cell phone o The conclusion pertains to the difference of two independent population means o There are two samples
The correct answer is
H₀ : μh - μc = 0
H₀ : μh - μc ≠ 0
Given that,
Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.
Because the samples of college and high school students are independent, the independent samples t-test should be utilized.
The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.
For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,
H₀ : μh - μc = 0
H₀ : μh - μc ≠ 0
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The proper null and alternative hypotheses are
[tex]H_{0}[/tex] : μh = μc
[tex]H_{A}[/tex] : μh - μc
The study's research wants to ascertain whether difference between the time spent by high school students and college students.
The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.
Let, H= time spent on the phone by high school students;
C= Time spent on the phone by college students; and
d=H−C
For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,
[tex]H_{0} :[/tex] μh = μc (time spent by high school students is equal to college students)
[tex]H_{A} :[/tex] μh - μc (difference between the time spent by high school students and college students)
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Find the slope of the line.
Answer:
-2
Step-by-step explanation:
You do "rise" over "run" (in this case, the rise is actually down)
so -2 "rise"
1 "run"
identify the explanatory variable and the response variable. a teacher wants to determine if the amount of homework given to her students can be used to predict the students' test scores.
]]The explanator variable is amount of homework given and the response variable is student's test score.
Variable:
In math variable is an alphabet which is used to represent the unknown number.
Given,
A teacher wants to determine if the amount of homework given to her students can be used to predict the students' test scores
Here we need to identify the explanatory variable and the response variable
While we looking in to the given situation, the we have identified that the two variables are used here is,
=> homework given.
=> Test score
While analyzing the variable we have identified that the explanatory variable defines the situation so it is homework given and the response variable defines the result of the scenario that is the students score.
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PLES HELP ME June knits scarves and hats for kids in her community. She has knitted six less than twice as many hats as scarves, and she has made a total of 78 items. How many hats has she knitted?
if x/3=y/9 then 9/y =
Answer:
3/x
Step-by-step explanation:
Flip them
1 1/3 = y/3 - 9, solve it. i got 13 but every calculating app i use says 31.
Answer: y=-22
Step-by-step explanation:
the living standard in country x doubles in 12 years. what is its average annual growth rate roughly?
A country will roughly double its gdp in twelve years if its annual growth rate is 5.8 using the rule of 70.
The rule of 70 is used to determine the time it takes a country to double it growth rate.
To double in 12 years =70/12 = 5.8
Therefore, A country will roughly double its gdp in twenty years if its annual growth rate is 5.8 using the rule of 70.
A measure of the rise in the value of an investment or revenue stream over the course of a year is the annual growth rate, often known as the "simple growth rate" or "average annual growth rate (AAGR)".
The formula for calculating annual growth rate divides the total value of annual growth at the beginning of the year by the total value of that growth at the end of the year.
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owns 90% of West common stock. This year, Brace generated $50,000 operating income and received $10,000 dividends from West. Brace's taxable income is: Multiple Choice $53,000 $58,000 $50,000 O $52,000
Brace's taxable income is $50,000.
It is given to us that -
Brace Inc. owns 90% of West common stock
Brace generated $50,000 operating income
and, Brace received $10,000 dividends from West
We have to find out Brace's taxable income.
Taxable income can be defined as the income (income amount) of an individual or business that federal or state government agencies use as the basis for determining the taxes owed on them.
The correct formula representing taxable income can be stated as -
A. Taxable income = Total income - Exclusions - Adjustments to income - Deductions - Exemptions.
B. Taxable income = Gross income - Adjustments to income - Deductions - Exemptions.
C. Taxable income = Adjusted gross income - (Deductions + Exemptions).
Since, it is mentioned that Brace Inc. owns 90% of West common stock, it can be determined that the stock share is more than 80%.
This implies that there will be 100% deduction in the value of taxable income since the stock share is more than 80%.
Thus, Brace's taxable income is $50,000.
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the digits 1, 2, 3, 4, 5, 6, 7, and 9 are used to form four two-digit prime numbers, with each digit used exactly once. what is the sum of these four primes? (a) 150 (b) 160 (c) 170 (d) 180 (e) 190
The sum of four prime numbers is 190
The correct answer is an option (e)
In this question, we have been given the digits 1, 2, 3, 4, 5, 6, 7, and 9 are used to form four two-digit prime numbers, with each digit used exactly once.
We need to find the sum of these four primes.
For a 2 digit number to be prime, the units digit cannot be even or 5 as it would be divisible by either 2 or 5.
So unit digits are 1, 3, 7, 9
and the tens digits are :2, 4, 5, and 6.
the prime numbers in the 20s : 23, 29.
the prime numbers in the 40s: 41, 43, 47
the prime numbers in the 50s: 53, 59
the prime numbers in the 60s: 61, 67
There are many ways the set of 4 primes can be created
The sum would be,
(2 +4 +5 +6)×10 +(1 +3 +7 +9)
= 170 +20
= 190
Hence, the sum is 190
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Albert built a square chicken coop with 6−foot sides.
Area of chicken coop =
Answer: 36 ft
Step-by-step explanation: