Let's say you run a test, and your p-value comes out to be equal to 0.93. Do not reject [tex]H_{o}[/tex] at alpha equal to 0.10, 0.05, or 0.01 according to this conclusion.
The significance level is the likelihood that the researcher will conclude that the null hypothesis is false even though it is true. The validity and correctness of the data set are increased when the lower values of the significance level are used during the hypothesis testing.
The null hypothesis is disregarded if the p-value is less than the significance level.
Information Given: p=0.93
The test findings would be insignificant because the p-value is higher than the thresholds of 0.01, 0.05, and 0.10. This leads to the conclusion that at 0.01 and 0.05 and 0.10, the null hypothesis cannot be ruled out.
Therefore, option (b)—Do not reject [tex]H_{o}[/tex] at alpha equal to 0.10, 0.05, or 0.01—is the appropriate response.
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Please help soon! Thank you!
Answer:
8
Step-by-step explanation:
x=-4 perfectly suits x<=-1 since -4<=-1
Hence, when calculating g(-4), you need to apply the expression -x+4
Hence:
g(-4)=
-x+4=
-(-4)+4= ==> plug in -4 for x
4 + 4 = 8 ==> Negating a negative number is equaled to taking the
positive number.
Swimming Pool On a certain hot summer's day, 527 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $1059.50.
How many children and how many adults swam at the public pool that day?
Answer: children = 258, adults = 269
Step-by-step explanation:
let x = number of children
let y = number of adults
x + y = 527
solve for x in terms of y:
x = 527 - y
$1.5x + $2.5y = $1059.50
substitute in x = 527 - y
1.5(527 - y) + 2.5y = 1059.50
Now you can solve for y:
790.50 - 1.5y + 2.5y = 1059.50
y = 1059.50 - 790.5 = 269
Now solve for x:
x + 269 = 527
x = 527 - 269 = 258
8. Which point is a solution to the system of equations shown below?
(1) (3,7)
(2) (0,1)
(3) (1,5)
(4) (2,3)
y=-2x+7
y = 4x-5
Answer:
option (4)
Step-by-step explanation:
y = - 2x +7 → (1)
y = 4x - 5 → (2)
substitute y = 4x - 5 into (1)
4x - 5 = - 2x + 7 ( add 2x to both sides )
6x - 5 = 7 ( add 5 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
substitute x = 2 into either of the 2 equations and solve for y
substituting into (2)
y = 4(2) - 5 = 8 - 5 = 3
solution is (2, 3 )
[tex]\red{\boxed{ \green{\sf Option \: 4: (2 \: , 3)}}}[/tex]
[tex] \\ [/tex]
Explanation:[tex] \sf First, \: we \: have \: to \: understand \: that: \\ \sf If \: \red{y} = \orange{a} \: and \: \red{y} = \blue{b}, \: then \: \orange{a} = \blue{b}.[/tex]
[tex] \\ [/tex]
[tex]\sf Let \: \orange{-2x+7} \: be \: \orange{a} \: and \: \blue{4x-5 \\ } \: be \: \blue{b}.[/tex]
[tex]\star \: \sf Solve \: the \: equation \: \orange{a} = \blue{b}. \: \star[/tex]
[tex] \\ [/tex]
[tex] \sf \orange{a} = \blue{b} \\ \Longleftrightarrow \sf \orange{ - 2x + 7} = \blue{4x - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \diamond \: \sf Subtract \: 4x \: from \: both \: sides. \diamond \\ \\ \Longleftrightarrow \sf - 6x + 7 = - 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \diamond \: \sf Subtract \: 7 \: from \: both \: sides. \diamond \\ \\ \Longleftrightarrow \sf - 6x = - 12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \diamond \: \sf Divide \: both \: sides \: by \: -6. \: \diamond \\ \\ \Longleftrightarrow \sf x = \dfrac{ - 12}{ - 6} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \Longleftrightarrow \boxed{\sf \purple{x = 2}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \\ [/tex]
[tex]\star \: \sf Remplace \: \purple{x} \: with \: \purple{2} \: in \: one \: of \: the \: given \: equations. \: \star[/tex]
[tex] \\ [/tex]
[tex] \sf \red{y }= - 2 \purple{x} + 7 \\ \implies \sf \red{y} = - 2 \purple{(2)} + 7 \: \: \: \: \: \: \\ \\ \implies \boxed{\sf \red{y= 3}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \\ [/tex]
Therefore, the point which is a solution to the system of equations is (2 , 3). This corresponds to option 4.
Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen
tickets cost $5.00. She spent a total of $120. Create a system of equations to determine
the number of adult tickets and the number of senior citizen tickets that Beth
purchased?
A system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16
8x + 5y = 120.
What is a system of an equation?
A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one with two equations and two variables. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.
Here, we have
Given: Beth bought 16 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $5.00. She spent a total of $120.
We let adult tickets be x and
let senior citizens' tickets be y.
x + y = 16....(1)
8x + 5y = 120...(2)
From equation(1)
x = 16 - y
we put the value of x in equation(2) and we get
= 8(16 - y) + 5y = 120
= 128 - 8y + 5y = 120
= 3y = 8
y = 8/3
Now, we put the value of y in equation(1) and we get
x = 16-8/3
x = 40/3
Hence, a system of equations that determines the number of adult tickets and the number of senior citizen tickets that Beth purchased is x + y = 16
8x + 5y = 120.
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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.
a. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
b. No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
c. Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤
d. 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100.
Step-by-step explanation:
According to the described situation, the system of inequalities that best explains whether the company can build 20 child bikes and 6 adult bikes in the week is given by:
What is the system of inequalities?
Considering the variables c and a, for the number of child and adult bikes, respectively, we have that, considering the building time:
testing time When c = 20, a = 6:
Hence, the correct option is:
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100.
How do you evaluate the function f(x) = 3x^2 + 3x − 2 for 2 f(a) ?
By evaluating the function for 2f(a), we get 6a² + 6a -4.
We can evaluate the function, f(x) =3x² +3x -2 for 2 f(a) by using the following steps:
Firstly, we have to find f(a).
In order to find f(a) we need to substitute 'x' with 'a' in the given function.
So the f(a) would be equal to :
f(a) = 3a² +3a-2
Now in the second step in order to find 2f(a) we need to multiply the whole function of f(a) with 2.
So 2f(a) would be equals to:
2f(a) = 2(3a² + 3a -2)
2f(a) = 6a² +6a -4
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How do you simplify and make the decimal 0.225 into a fraction?
Step-by-step explanation:
a finite decimal number into a fraction is very easy.
remember what the different positions after the decimal point are worth :
tenths, hundredths, thousandths, tenthousandths, hundredthousandths, ...
0.225 covers thousandths.
how many ?
well, 225, of course.
so,
0.225 = 225/1000 = 9/40 × 25/25 = 9/40
Form a polynomial whose zeros and degree are given.
Zeros: - 3, multiplicity 1; - 1, multiplicity 2; degree 3
The polynomial of third degree whose zeros and degree are given, for zero of (-2), multiplicity 1 and for zero of (3), multiplicity 2 is [tex]f(x) = x^3 - 10x^2 - 15x + 18[/tex]
What is Polynomial?A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
From the question statement, a third degree polynomial has a zero of (-2), multiplicity 1 and another zero of (3), multiplicity 2.
We need to determine the polynomial.
Since, (-2) is a zero of the polynomial, then (x+ 2) will be a factor of the polynomial. for zero of (-2), multiplicity is 1, means that the factor of (x + 2) is only multiplied once.
Similarly, (3) is another zero of the polynomial, then (x - 3) will be a factor of the polynomial.
For zero of (3), multiplicity is 2, this means that the factor of (x - 3) will be multiplied twice
Hence, our required polynomial is [tex]f(x) = x^3 - 10x^2 - 15x + 18[/tex]
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What is 12.5% of 104?
Answer:
13
Step-by-step explanation:
1. convert percent into decimal
12.5% = 0.125
2. find the product
0.125 * 104 = 13
The number 13 is 12.5 percent of 104.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.
Let x be 12.5% of 104.
Here, 12.5% of 104 =x
x= 12.5/100 ×104 (The word "of" means multiplication)
x= 0.125×104
x= 13
Therefore, 13 is 12.5 percent of 104.
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Carrie is trying to solve this inequality. After she solves it, she shows it to you, and asks you if she did it correctly. This is the work she completed.
2x-5 < 11+ 6x
Step 1: 2x<+16
Step 2 -4x < 16
Step 3 <-4
Part A In which step did Carrie make a mistake?
Part B: How would you explain to Carrie what her mistake was, so she won't make the mistake again on a future test?
Carrie made a mistake in her step 3.
She was suppose to change the inequality symbols to the opposite after dividing by a negative number.
How to solve inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.
Carrie is trying to solve this inequality.
2x - 5 < 11 + 6x
add 5 t both sides of the inequality
2x - 5 + 5 < 11 + 5 + 6x
2x < 16 + 6x
subtract 6x from both sides of the inequality
2x - 6x < 16 + 6x - 6x
-4x < 16
divide both sides by -4
-4x / -4 < 16 / -4
x > - 4
Therefore, She made a mistake in the step 3.
If she is dividing both sides of an inequality by a negative number, the inequality sign will change to the opposite.
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Which of the following is/are not a quadratic equation?
A. x^2–8x+5=0
B. 3x^2–4=0
C. 2x=x^2
D. x+5=3
(C) 2x=x^2 is not a quadratic equation and the rest of the equation is a quadratic equation.
What is a quadratic equation?Any algebraic statement that can be represented in a standard form, where x stands for an unknown number, a, b, and c stand for known values, and where a 0 is true, is said to be a quadratic equation.
Factoring, using square roots, completing the square, and using the quadratic formula are the four approaches of solve a quadratic problem.
A quadratic equation's form is: ax²+bx+c=0
(A) x^2–8x+5=0
In the form ax2+bx+c=0.
(B) 3x^2–4=0
In the form ax2+bx+c=0.
(C) 2x=x^2
Not in ax2+bx+c=0 form.
(D) x+5=3
In the form ax2+bx+c=0.
Therefore, (C) 2x=x^2 is not a quadratic equation and the rest of the equation is a quadratic equation.
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the greatest common factor of 24 56 and 96
Answer:
The answer is 8 because 8x3=24, 8x7=56, and 8x12=96.
Answer: 8
Step-by-step explanation:
How do you write 0.112 as a fraction?
Answer:
112/1000
Step-by-step explanation:
Just put 1 under decimal point and just add as many zeros as digits after that
What is the volume of a cube with side
lengths that are 30 inches? Use the formula
V = s³, where s is the length of one side.
60 in.³
900 in.³
2,700 in.3
27,000 in.³
Answer:
27,000 or D
Step-by-step explanation:
30 x 30 x 30 = the answer on edge <3 good luckkk
Samir is going to invest $22,000 and leave it in an account for 9 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Samir to end up with $38,000?
The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.
What is the interest rate?The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .
r = n[(A/P)1/nt - 1]
r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]
r = 0.0909090
Then convert r to R as a percentage
R = r × 100
R = 0.0909090 × 100
R = 9.0909 %/year
The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.
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Answer: 6.1
Step-by-step explanation:
a ______ is a number with a decimal point in which each digit place value is ten times the place value to its right
A "place value" is just a number containing a decimal point whereby each digit place value equals ten times every place value to its right
Explain the term place value of the number?In mathematics, every digit in an integer does have a place value.
Place value is described as the value conveyed by a digit in a number just on basis of its place in the number.For instance, the place value of 7 for 3,743 is 7 hundreds = 700. Therefore, the place value of 7 for 7,432 is 7 thousands = 7,000. Here, one can see that although if the digits are equal in both numbers, this place value varies with the change in there position.The place value for digits in integers can also be expressed using base-ten blocks and therefore can help us write integers in their expanded form.Thus, a "place value" is just a number containing a decimal point whereby each digit place value equals ten times every place value to its right
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The rectangular floor of a classroom is 20 feet in length and 30 feet in width.
A scale drawing of the floor has a length of 4 inches. What is the area, in
square inches, of the floor in the scale drawing?
Answer:
Area = 600
Step-by-step explanation:
The area formula for rectangles is length x width. In this equation, the length is 20 and the width is 30, multiplying them together gets us the area of 600.
a cylinder is inscribed in a right circular cone of height 5.5 feet and radius (at the base) equal to 3.5 feet. what are the dimensions of such a cylinder which has maximum volume?
Answer:
Step-by-step explanation:
If r and h radius and of inscribed cylinder then from similyarity of triangles(2- h)/2 = 2r/15, from here h = 2 - 4r/15.
Volume V = πr2h = πr2(2 - 4r/15)= π(2r2 - 4r3/15). Let find derivative and set it to 0:
V' = π(4r - 12r2/15) = 0; we get equation 4r - 4r2/5 = 0, r = 0 and r = 5.
To check if we get maximum we find V'' = π(4 - 8r/5) and at r = 5 V'' = π(4 -8) = -4π < 0 max
Answer: demantions of inscribed cylinder r = 5 and h = 2 - 4·5/15 = 2 - 4/3 = 2/3
undergraduate students at a college belong to one of four groups depending on the year in which they are expected to graduate. each student must choose one of 21 differ- ent majors. how many students are needed to assure that there are two students expected to graduate in the same year who have the same major?
Maximum number of distinct majors/groups: 84 therefore, the 85th student must be the same as one of the 84 students.
What would a typical graduation date be?Date of anticipated graduation: May 15, 2020, or Spring 2020 for graduation (expected). Instead of expected or anticipated, you can use the word pending if you're presently working to finish your final semester.
Do I need to mention my anticipated graduation date on my resume?Employers may be able to see that you are actively pursuing your degree even though you haven't graduated by seeing your anticipated graduation date on your resume.
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the ratio 1:4 os equivalent to
Answer:
2/8, 3/12, 4/16 and etc
Step-by-step explanation:
Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number
x and y are declared as integer variables.
You are given the following expression:
x >= y
Which of these expressions is the opposite of the above expression and has valid syntax?
-x <= y
- x =< y
- There's not enough information to determine this.
- x == y
- x < y
- x =< y is the expression and acceptable syntax.
Explain about the expression?
A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases.
A term may be a number, a variable, a product of two or more variables, or a combination of both. A single phrase or a set of terms can make up an algebraic expression. The two terms in the formula 4x + y, for instance, are 4x and y.
Algebra's associative, commutative, and distributive characteristics are the ones that are most frequently utilized to make algebraic expressions simpler.
The converse of the expression and having proper syntax is
= x >= y.
= -x <= y
=- x =< y
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Differentiate implicitly to find dy/dx. 2x^2+8xy+6y^2+13y-2=0 dy/dx= Find dy/dx using implicit differentiation. 3x^3=2y^2-9y dy/dx= Use implicit differentiation to find dy/dx. 3y^2=5x-2/5x+2 dy/dx
The first derivative of the implicit functions are listed below:
y' = - 4 · (x + 2 · y) / (8 · x + 12 · y + 13) y' = 9 · x² / (4 · y - 9) y' = 23 / (30 · y)How to use implicit differentiation
In this problem we have an implicit function of the form f(x, y) = 0, whose first derivative shall be found by implicit differentiation. Now we proceed to present the procedure. First, write the entire expression:
2 · x² + 8 · x · y + 6 · y² + 13 · y - 2 = 0
Second, use the derivative rules:
4 · x + 8 · y + 8 · x · y' + 12 · y · y' + 13 · y' = 0
4 · x + 8 · y + (8 · x + 12 · y + 13) · y' = 0
y' = - 4 · (x + 2 · y) / (8 · x + 12 · y + 13)
The same procedure is used in the next two implicit functions:
3 · x³ = 2 · y² - 9 · y
9 · x² = 4 · y · y' - 9 · y'
9 · x² = (4 · y - 9) · y'
y' = 9 · x² / (4 · y - 9)
3 · y² = 5 · x - (2 / 5) · x + 2
6 · y · y' = 5 - 2 / 5
6 · y · y' = 23 / 5
y' = 23 / (30 · y)
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if n is an integer for which the greatest common factor of n and 18 is 6 and the least common multiple of n and 9 is 126, what is the value of n?'
The value of n is 42.
What is greatest common factor?
Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.
The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.Similarily , for 42 and 18 , greatest Common Factor is 6.
What is least common multiple?
The least common multiple of two numbers is the smallest number that is a multiple of both of them.
How do you find least common multiple?
Find the LCM by listing multiples.
List the first several multiples of each number.Look for multiples common to both lists. If there are no common multiples in the lists, write out additional multiples for each number.Look for the smallest number that is common to both lists.This number is the LCM.thus , LCM of 42 and 9 is 126.
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we want to conduct a hypothesis testing about comparing of the 95th percentile of the income of country a and that of country b. we take a sample from each country. can the permutation test be used in this problem?
Yes, the permutation test is used in this problem to conduct a hypothesis testing about comparing the 95th percentile of the income of country a and that of country b.
Yes, the permutation test can be used in this problem. The permutation test is a nonparametric test that can be used to compare two or more groups to determine if there is a statistically significant difference between them. In this case, we can use the permutation test to compare the 95th percentile of the incomes of the two countries. The permutation test would involve randomly permuting the data for each country, then calculating the 95th percentile for each permutation. The difference in the 95th percentile between the two countries in the original data can then be compared to the differences in the 95th percentile of the permuted data to see if the difference is statistically significant.
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solve this please I need some help
Answer:
x = 85°
Step-by-step explanation:
the angle adjacent to B inside the triangle is corresponding to 70° and are congruent.
the sum of the 3 angles in a triangle is 180° , then
x + 25° + 70° = 180°
x + 95° = 180° ( subtract 95° from both sides )
x = 85°
bookword code G06 calculate length of AD
What do the parts of a spreadsheet of 48 is represent?
Therefore, the expression's 48th component is the cost per scarf.
Expression: What is it?A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or remove. An expression's structure is (Mathematical Operator, Number or Variable, Expression).
Here,
In the following expression, 483 denotes the total number of scarves, and 48 is the cost per scarf. For each scarf order, customers are charged a $4.75 delivery fee:
The 48 denotes the price per scarf, as can be seen from the supplied.
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3 workers can load a truck in 8 minutes
The number of extra workers that are needed is 1 extra worker
How many workers are needed?If three workers load the truck in 8 minutes we have that:
3 workers = 8 minutes
We know that if we wanted to reduce the time at, for example, half, we would need to increase the workers in a half. More generally, if we want to reduce the time in 1/X me need to multiply the workers by X.
Here me need to reduce the time in 6/8 as 8*6/8 = 6.
So, we will need:
3*8/6 = 24/6 = 4 workers.
So, we will need 1 more worker as we already have 3.
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Complete question
Three workers can load a truck in 8 minutes. How many workers need to join this team so that they can load that truck in 6 minutes?
If light can travel 31 times around the world in 4 seconds, find the number of times it can circle the world in 10 seconds.
Answer:
The answer is 77.5
Step-by-step explanation:
If light travels 31 times around the Earth in 4 seconds then in 8 seconds it would be 62 times and 15.5 is half of 31 and then we add 15.5 to 62 and we get 77.5. Hope this helps!
Answer:
In 4 seconds light can travel = 31 times
Then in 10 second it can travel=
31/4 ×10 =77.5times
A cake decorator mixed 3 cups of red frosting with 7 cups of blue frosting to make a purple frosting. Which ratio of cups of red frosting to cups of blue frosting will make the same shade of purple frosting?
Answer: 3 to 10. will be the ratio.
Step-by-step explanation:
