These rules of five letters (a, b, c, d, and e) and five numbers allow for 28,800 different passwords. Additionally, she makes sure that no two letters or two numbers are ever placed back-to-back.
What is counting principle?The basic counting concept is a method for keeping track of all the potential outcomes in a scenario. According to this statement, there are n*m methods to carry out both of these acts if there are n ways to execute one activity and m ways to conduct another action after that.
Here,
Eloise has 10 alternatives since the password's initial character can be any letter or number. She has five alternatives, and her second selection must be from the set (letter or number) that has not previously been utilized. She has four choices remaining, and Choice 3 is from the same group as Choice 1. She gets four possibilities since Choice 4 is the second item in the same set as Choice 2. The choices 5 and 6 come from separate sets, each of which has three possibilities; the choices 7 and 8 come from separate sets, each of which has two options; and the choices 9 and 10 come from separate sets, each of which has only one option left.
10 5 4 4 3 3 2 2 1 1
10 ×5 ×4 ×4 ×3 ×3 ×2 ×2 ×1 ×1 = 28,800
28,800 different passwords conform to these rules of five letters (a, b, c, d, and e) and five numbers (2, 3, 4, 5, and 6). additionally, she always ensures that no pair of letters is consecutive and that no pair of numbers is consecutive.
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how do I compare 6.098 and 6.908
6.908 is greater than 6.098 as the second digit from the left is greater.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, are two numbers 6.098 and 6.908.
Now, starting from left both the numbers have the same digit so we can't
differentiate.
The digit after the decimal place to the first number is 0 and on the second it is 9 so definitely, the second number is greater.
∴ 6.098 < 6.908.
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write the equation for the parabola that has its x-intercepts at (-2, 0) and (4, 0) and its y-intercept at (0, 4).
The equation for the parabola is y = (5/3)(x + 2)(x - 1.2)
What is equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about mathematical equations.
How do we solve equations?Remove parentheses from each side of the equation and combine similar terms to make it simpler.
To separate the variable term on one side of the equation, use addition or subtraction.
To find the variable, use division or multiplication.
y = A [x - (-2)] (x - 1.2)
y = A(x + 2)(x - 1.2)
At the y-intercept,
-4 = A(0 + 2)(0 - 1.2)
-4 = -2.4A
A = 4/2.4 = 5/3
y = (5/3)(x + 2)(x - 1.2)
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What is the value of the expression when a = 3 and b = 5?
3a+b−4
Responses
4
4
7
7
10
10
34
34
Answer: It's ten...please give me brainliest. I'm begging you.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
a = 3; b = 5
3a + b − 4 =
= 3(3) + 5 - 4
= 9 + 5 - 4
= 14 - 4
= 10
juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. if she was charged a total of $98 for the rental and mileage, for how many miles of driving w
Juliet was charged $18 for driving 120 miles.
Given,
The rent of car per day = $80
The charge for per miles driven = $0.15
Juliet was charged a total of $98 for the rental and mileage.
We have to find the total miles of driving;
Here,
Charge for miles driven = Total charge - Rent of car for a day
Charge for miles driven = 98 - 80
Charge for miles driven = $18
Now,
Total miles driven = Charge for miles driven / Charge for one mile
Total miles driven = 18/0.15
Total miles driven = 120
That is,
Juliet was charged $18 for 120 miles of driving.
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which technique is likely to discover a value that is 10x larger than the next highest value in a dataset of 500,000 records? group of answer choices basic statistical tests. visual inspection. advanced testing techniques. auditing a sample.
The correct option is (a). basic statistical tests the technique is likely to discover a value that is 10x larger than the next highest value in a dataset of 500,000 records is basic statistical tests.
Statistical assessments are utilized in speculation trying out. They may be used to: decide whether a predictor variable has a statistically substantial relationship with an outcome variable. estimate the distinction between or more groups.
Two main statistical techniques are used in data analysis: descriptive facts, which summarize records of the usage of indexes along with suggestions and median and every other is inferential facts, which draw conclusions from records of the usage of statistical assessments including pupil's t-take look at.
In fact, there are foremost kinds of assessments: parametric and non-parametric. each sort of assessment is used to make inferences about a populace based on a sample. The difference between the 2 styles of tests lies within the assumptions that they make about the records.
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At the beginning of 1st grade, Steve is initially able to spell 10 words. He is planning to learn 3 new words each week. How many weeks will it take him to
learn to spell a minimum of 46 words?
Answer:
15 weeks.........
Step-by-step explanation:
3×15=45
There are 16 squares and 4 circles. What is the simplest ratio of circles to total shapes?
Answer: 4:1
Step-by-step explanation:
We know that there are 16 squares in 4 circles, so the ratio is 16:4 and we can simplify this ratio by dividing by 4 which equal 4:1
If you can please give me a Brainliest, I only need 3 more to become an Ace, thank you!
Plot the points (-4, 6) and (5,3) and find the slope.
Answer:
-1/3
Step-by-step explanation:
3-6/5-(-4) = -3/9
simplify -3/9
-1/3
• we have two concentric circles. a chord of the larger circle is tangent to the smaller circle and has length 8. what’s the area of the annulus–the region between the two circles?
The Area of annulus - the region between the two circle is 50.26cm²
According to the question,
The length of chord of the large circle which is tangent to the small circle : AB = 8cm
Le the radius of large circle "R" and radius of smaller circle "r"
AB is a tangent to the smaller circle
AM = 8/2
=> AM = 4cm
In ΔOAM,
Using Pythagoras theorem ,
OA² = OM² + AM²
=> R² = r² + (4)²
=> R² - r² = 16
So, the area of annulus = π(R² - r²)
=> 16π (putting π = 3.14)
=> 50.26cm² is required area
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Put the steps in order that are used to solve the following systems of equations by substitution.
-7x - 2y
2y
= x= 2 (-4) +11 → x = 3
x
-
=
= - 13
11
= x - 2y = 11 → x = 2y + 11
=y=-4
= -7 (2y + 11) - 2y = -13
= (3,-4)
= -16y = 64
= -16y - 77 = -13
= -14y-77-2y = -13
The steps that are used to solve the above equation by substitution include the following:
1.) X = 11 + 2y
2.) -7 ( 2y + 11) -2y = -13
3.) -14y -77- 2y = -13
4.) -16y - 77 = -13
5.) -16y = 64
6.) y= -4
7.) X = 2(-4) + 11 --> X = 3
8.) (3, -4)
What is a substitution equation?A substitution equation is defined as the type of equation that involves solving the equation for one variable, and substituting the value of the variable in the other equation.
The given equation is as follows;
-7x -2y = -13
X - 2y = 11.
To solve for X the following is done;
X = 2y + 11
Substitute X = 2y + 11 into equation 1
-7 ( 2y + 11) -2y = -13
Multiple out to open the brackets;
= -14y -77- 2y = -13
= -16y - 77 = -13
= -16y = 64
= y= -4
Then substitute y = -4 into equation two as follows;
X = 2(-4) + 11
X = 3
Therefore, y = -4, while X = 3 that is ( 3,-4)
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In a statistical test of hypotheses, we say the data are statistically significant at level α if.
If the P value in a statistical test of hypotheses is more than, we may claim that the data are statistically significant at level. Less than is the P-value. =0.05 .
What is hypotheses ?An assumption is said to as a hypothesis when it is supported by evidence. Any investigation that turns the research questions into predictions must start here. Variables, the population, and the relationships between the variables are among its constituent parts. A hypothesis used to examine the link between two or more variables is known as a research hypothesis.
One dependent variable and one independent variable are shown to be related. For instance, eating more vegetables will help you lose weight more quickly. In this scenario, increasing your vegetable intake is an independent variable, while weight loss is the dependent variable.
It makes a claim that conflicts with the premise. There is no connection between the independent and dependent variables, which is a negative assertion. The emblem stands for.
Hence, If the P value in a statistical test of hypotheses is more than, we may claim that the data are statistically significant at level. Less than is the P-value. =0.05 .
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A researcher developing a regression equation to predict income in thousands of dollars from age (A) and educational status (%) found a significant interaction between age and educational status (X). Educational status is a dummy variable with 0 = high school or less and 1 = some education beyond high school Given the equation = 14.2 + 0.5 1 + 1.7X2 + 0.1X3 + e, what is the predicted income for a 43-year- old who left school after the 10th grade? $35,700 $37.400 $34,000 $35,800
The predicted income for a 43-year- old who left school after the 10th grade is in option (A) i.e. $35,700.
Given that:
Educational status is a dummy variable with 0 = high school or less and 1 = some education beyond high school
Regression equation = 14.2 + 0.5 X1 + 1.7X2 + 0.1X3 + e
X1 => Age; X3→ (0 if high school or less and 1 if some education beyond high school)
X2 => (X2 * X3)→ (0 if high school or less and X1 if some education beyond high school)
Given: X1 = 43, X2 and X3 = 0
Putting these values in the below equation.
y = 14.2 + 0.5 X1 + 1.7X2 + 0.1X3 + e
y = 14.2 + (0.5 x 43) + 1.7 x 0 + .1 x 0 + e
y = 14.2 + (0.5 x 43) + 0 + 0 + e
y = 14.2 + 21.5 + e
y = 35.7 + e
The value of e can be neglected as it is a constant value.
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show intro/instructions chance is skiing on a circular ski trail that has a radius of 0.9 km. chance starts at the 3-o'clock position and travels 2.75 km in the counter-clockwise direction. how many radians does chance sweep out? radians how many degrees does chance sweep out? degrees when chance stops skiing, how many km is chance to the right of the center of the ski trail? km when chance stops skiing, how many km is chance above the center of the ski trail?
The angle sweeped by chances during counterclockwise direction is 175.15° and in radian is 3.05, the distance of chance is from right and the above the centre of the circle is 0.27 km and 0.261km respectively.
Chance is running on a circular track that has a radius 0.9 km and he goes 2.75km into the counter clockwise direction from the 3-o'clock position.
The arc length of the circle is given by,
L = 2πR(A/360)
R is the radius,
L is the length of the arc,
A is the angle made in degrees.
Putting values,
2.75 =2π(0.9)(A/360)
A = 175.15°C.
Now, converting it into radians,
A in radian is 3.05.
Distance D of chance to the right of centre of the ski trail is,
D = R(1-0.7)
D = R(0.3)
D = 0.27 Km.
The distance D' of chance above the centre of the ski trail is,
D' = R(1-0.71)
D' = R(0.29)
D' = 0.261 Km.
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Calculate the expected value, the variance, and the standard deviation of the given random variable x. (round all answers to two decimal places. ) x is the number of red marbles that suzan has in her hand after she selects five marbles from a bag containing five red marbles and two green ones.
The expected value of the mean, variance and standard deviation are-
μ ≈ 4 (mean)σ = 0.61 (variance)δ = 0.78 (standard deviation)Explain the term mean of the data?The sum of all the numerical values in a series is divided by entire number to determine the mean of that number. The mean can also be used to assess the standard deviation or variable of a given set of data.For the given data in the question-
Random variable = x.Total marbles N = 7.Selected marble n = 5The formula for the mean;
μ = n×n /N
Put the values,
μ = 5×5/7
μ = 3.57
μ ≈ 4 (mean)
The formula for the variance is;
σ = nμ/N × (N - μ)(N - n)/N(N - 1) ....eq 1
σ = 5×4/7 × (7 - 4)(7 - 5)/7(7 - 1)
σ = 0.61 (variance)
For the calculation of the standard deviation-
δ = √σ ...eq 2
δ = √0.61
δ = 0.78 (standard deviation).
Thus, the expected value of the mean, variance and standard deviation are calculated.
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the board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.00 minutes. to make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 42 randomly selected calls. the mean wait time was calculated to be 4.14 minutes. assuming the population standard deviation is 0.55 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.00 minutes with a 98% level of confidence?
Answer of the following questions for given mean and standard deviation along with sample size are:
a. Null hypothesis , H₀: μ = 4.00
Alternative hypothesis, H₁ : μ > 4.00
b. Value of test statistic is 1.647
c. Conclusion is no evidence to conclude mean wait time for customer is longer than 4.00 minutes.
As given in the question,
Wait time for customer is at most 4.00 minutes
a. Null hypothesis is given by
H₀: μ = 4.00
Mean time is not exceeding the requirement
Alternative hypothesis is given by:
H₁ : μ > 4.00
b. Value of test statistic is given by :
([tex]\bar{x}[/tex] - μ₀) ÷ ( s/√n )
Sample mean [tex]\bar{x}[/tex] = 4.14
Population mean μ₀ = 4.00
Standard deviation 's' = 0.55 minutes
Sample size 'n' = 42
Substitute the value in the formula we get,
(4.14 - 4.00) ÷ (0.55/ √42)
= 0.14 / (0.55/ 6.5)
=0.14/ 0.085
= 1.647
c. α = 1 - 98%
= 1 - 0.98
= 0.02
Decision value limit :
Reject H₀ ; if P value < α
Using table ,
P value = P(Z < 1.647)
= 0.04997
⇒P value = 0.04997
0.04997 > 0.02
Here P value > α
Fail to reject Null hypothesis .
Therefore, from the given standard deviation and mean conclusion is that there is no sufficient evidence to prove that mean wait time for customers is longer than 4.00.
The complete question is:
The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.00 minutes. to make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 42 randomly selected calls. the mean wait time was calculated to be 4.14 minutes. assuming the population standard deviation is 0.55 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.00 minutes with a 98% level of confidence?
1. State the null and alternative hypotheses for the test.
2. Compute the value of the test statistic.
3. Draw a conclusion and interpret the decision.
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What is the solution to square root of 7x - 4 = 2 square root of x
The square root √(7 · x - 4) = 2 has a solution for the variable x is 8 / 7.
How to find the solution to a square root
In this problem, we find a square root whose solution for the variable x has to be found solely by algebra properties. First, write the radical equation:
√(7 · x - 4) = 2
Second, elevate to the square of the expression:
7 · x - 4 = 4
Third, clear the variable x by algebra properties:
7 · x = 8
x = 8 / 7
The solution to the square root is equal to 8 / 7.
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h(x) =(√x + 1)(√x - 3)
Which number is a composite number?
A.11
B.21
C.31
D.41
Answer:
B. 21
Step-by-step explanation:
Composite numbers have more than two factors.
Answer: 21
Step-by-step explanation:
what is a simpler form for the equation ^4√2401x^12y^16
Simplified form of fourth root of 2401x¹²y¹⁶ is 7x³y⁴
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given,
⁴√2401 x¹² y¹⁶=⁴√7*7*7*7 (x³)⁴(y⁴)⁴
=⁴√(7)⁴ (x³)⁴(y⁴)⁴
=⁴√(7 x³y⁴)⁴
= 7 x³y⁴
Therefore, Simplified form fourth root of 2401x¹²y¹⁶ is 7x³y⁴.
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>) The Johnsons set aside money in their budget for food for their anniversary party. They spent $320 but had set aside 25% more than that. How much money did the Johnsons set aside in their budget for food for the party?
Answer:
$400
Step-by-step explanation:
y= 320×(1+0.25)=400
What values of c and d would make the following expression represent a real number? i(2 + 3i)(c + di).
The correct option D)c = –3, d = –2; for which the expression becomes real number.
Explain the term real number?In mathematics, a real number is a quantity that may be represented by an endless number of decimal expansions. In opposed to the natural numbers 1, 2, 3,... that result from counting, real numbers are utilized in evaluations of continuously altering quantities including size and time.For the given question,
The expression is-
= i(2 + 3i)(c + di)
Simplifying,
= i(2c + 2di + 3ci + 3d²)
= 2ci + 2di² + 3ci² + 3di³
= 2ci - 2d -3c - 3di
= (2c - 3di)i - 2d - 3c
Now, again for expression to produce a real number, the coefficient of must be zero.
Let's evaluate each choice.
A: 2c - 3d = 2x2 -3x3 = -5
B: 2x(-2) - 3x3 = -13
C: 2x3 - 3x(-2) = -12
D: 2x(-3) - 3x(-2) = 0
As option D only has the positive number, thus define the expression.
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The complete question is-
What values of c and d would make the following expression represent a real number? i(2 + 3i)(c + di)
choices: A)c = 2, d = 3 B)c = –2, d = 3 C)c = 3, d = –2 D)c = –3, d = –2
Answer: D) c = –3, d = –2
Step-by-step explanation:
Correct on Edge
A credit card company charges 10% interest at the end of every month on the outstanding balance of a credit card. Jacqueline’s last credit card bill was $250. For 3 months, she makes the minimum payment of $50 each month, and does not use the credit card. How much does she owe the credit card company at the end of 3 months?
She owe $167.25 of the credit card company at the end of 3 months.
What is simple interest?To compute simple interest, duplicate the chief sum by the loan fee and the time. The recipe worked out is "simple interest = Principal x Interest Rate x Time." This condition is the easiest approach to ascertaining interest.
According to question:We ave,
interest = 10%, loaned amount = $250, monthly payment = $50
Then,
interest of first month = $250×1×0.1 = $25
She makes a payment of $50
Then $250 - $50 + $25 = $225
Second month:
interest = $225 ×0.1 = $22.5
Payment of $50
remain loan = $225 - $50 + 22.5 = $197.5
And third month
interest = $197.5×0.1 = $19.75
payment of $50 Then
Net payable loan = $197.5 - $50 + $19.75 = $167.25
Thus, remaining loan amount is $167.25.
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Many cars have keyless entry. To open the lock, you may press a 5-digit code on a set of buttons like that illustrated. The code may include repeated digits like 11433 or 55512. 1-2 3-4 5-67-8 9-0 a) How many different 5-digit codes can be made using the 10 digits if repetition is permitted?
Answer:
You can make up to "9" different 5-digit codes
Can someone please explain how to solve this type of equation?
Answer:
n = 15
Step-by-step explanation:
the triangles are similar so the correspondent sides are proportional
2: 5 = 6 : n
n = 6 x 5 /2
n = 3 x 5
n = 15
When testing the differences between means, the _____ hypothesis suggests that population means are not equal. A. null B. research C. practical D. significant
When testing the differences between means, the research hypothesis suggests that population means are not equal. (Option B)
Hypothesis refers to a concept or explanation for a trend that is based on known facts but has not yet been proved. A research hypothesis, also known as scientific hypothesis, is a statement about the expected result of a study. It is the proposed answer to the research question and generally includes an explanation (e.g., x affect y because …). It introduces a research question and proposes an expected result. It illustrates the relationship between two variables - an independent and dependent variable. Hence, when testing the difference between means, the hypothesis that suggests that population means are not equal is a research hypothesis.
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determine the equation of the hyperbola with foci (13,-1)(13,−1) and (-13,-1)(−13,−1), and co-vertices (0,11)(0,11) and (0,-13)(0,−13).
The equation of the hyperbola is
[tex]144 {x}^{2} - 25 {y}^{2} - 50y - 3650 = 0[/tex]
What is a hyperbola?
In mathematics, a hyperbola is a conic section formed by the intersection of the double cone by a plane surface, but not necessarily at the centre. It is a type of smooth curve lying in a plane and has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.
The standard form of writing an equation of the hyperbola is,
[tex]\frac{ {(x - h)}^{2} }{ {a}^{2} } - \frac{ {(y - k)}^{2} }{ {b}^{2} } = 1[/tex]
Where (h, k) is the centre; a is the distance from the centre to vertices; b is the distance from co-vertices to the centre.
Given,
Foci of the hyperbola are (13, -1); (-13, -1)
Co-vertices are (0,11); (0,-13)
As we know that the centre of the hyperbola is the midpoint of the foci, then it will be (h,k) = (0,-1)
Distance from centre to foci is, c = 13 [2c = 26; c = 26 / 2 = 13]
Distance from co vertices to foci is, b = 12 [ 2b = 24; c = 24 / 2 = 12]
let us assume a is the distance from the centre to the vertices.
we know that,
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
then,
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
[tex]a = \sqrt{ {13}^{2} - {12}^{2} } [/tex]
[tex]a = \sqrt{169 - 144} [/tex]
[tex]a = \sqrt{25} [/tex]
[tex]a = 5[/tex]
Now, the equation of the hyperbola is,
[tex] \frac{ {(x - h)}^{2} }{ {a}^{2} } - \frac{ {(y - k)}^{2} }{ {b}^{2} } = 1[/tex]
[tex] \frac{ {(x - 0)}^{2} }{ {5}^{2} } - \frac{ {(y + 1})^{2} }{ {12}^{2} } = 1[/tex]
[tex] \frac{ {x}^{2} }{25} - \frac{ {y}^{2} + 2y + 1 }{144} = 1[/tex]
[tex] \frac{144 {x}^{2} - 25 {y}^{2} - 50y - 50 }{25 \times 144} = 1[/tex]
[tex]144 {x}^{2} - 25 {y}^{2} - 50y - 50 = 25 \times 144[/tex]
Hence the required equation is,
[tex]144 {x}^{2} - 25 {y}^{2} - 3650 = 0[/tex]
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2. Which equation has a graph perpendicular to the graph of 7x = 14y-8? (1 point)
Oy=-2x - 7
Oy=-=x+4
2
Oy= 2x+1
2
Oy = 2x +9
Answer:
Step-by-step explanation:
the 2nd one
mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. a recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. the recruiting office randomly surveys 46 entry level mechanical engineers and 52 entry level electrical engineers. their mean salaries were $46,100 and $46,900, respectively. their standard deviations were $3450 and $4230, respectively. conduct a hypothesis test at the 5% level to determine if you agree that the mean entry- level mechanical engineering salary is lower than the mean entry-level electrical engineering salary. let the subscript m = mechanical and e = electrical. i. In words, state what your random variable X- Xe represents ii. State the distribution to use for the test. (Enter your answer in the form z or taf where df is the degrees of freedom. Round your answer to two decimal places.) iii. What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) iv. What is the p-value? (Round your answer to four decimal places.) v. Alpha (Enter an exact number as an integer, fraction, or decimal.)
Answer:
i. X represents the difference between the mean entry-level mechanical engineering salary and the mean entry-level electrical engineering salary.
ii. t distribution with df = 96
iii. t = -2.38
iv. p-value = 0.0190
v. Alpha = 0.05
i. The random variable X - Xe represents the difference in mean salaries between mechanical engineering (X) and electrical engineering (Xe).
ii. We used the t-distribution for the test due to unknown population standard deviations and relatively small sample sizes.
iii. The calculated test statistic is -2.1095.
iv. The degrees of freedom for the t-distribution are approximately 113242.
v. The p-value associated with the test statistic and degrees of freedom is approximately 0.0001.
i. The random variable X - Xe represents the difference in mean salaries between mechanical engineering (X) and electrical engineering (Xe).
ii. We will use the t-distribution for the test since the population standard deviations are unknown, and the sample sizes are relatively small (less than 30).
iii. The test statistic for this hypothesis test is calculated as:
[tex]t = (X - Xe) / \sqrt(s_m^2 / n_m) + (s_e^2 / n_e))}[/tex]
Where:
X = sample mean for mechanical engineering
Xe = sample mean for electrical engineering
Sm = standard deviation for mechanical engineering
Se= standard deviation for electrical engineering
nm = sample size for mechanical engineering
ne = sample size for electrical engineering
t = (46100 - 46900) / √(3450² / 46) + (4230² / 52))
= -800 / √(3450² / 46) + (4230² / 52))
= -800 / 379.4303
= -2.1095
iv.
Calculating the degrees of freedom:
df = (3450² / 46 + 4230² / 52)² / ((3450² / 46)² / (46 - 1) + (4230² / 52)² / (52 - 1))
= (119023.913 + 180714.2308)² / ((119023.913)² / 45 + (180714.2308)² / 51)
= 113242.1436
The degrees of freedom are approximately 113242.
Now, we need to find the p-value associated with the test statistic and degrees of freedom.
We can use a t-distribution table to look up the p-value.
Since the test is one-tailed and the test statistic is negative, we will look up the p-value in the left tail of the t-distribution with the given degrees of freedom.
Assuming the p-value is less than 0.0001, we can state that the p-value is approximately 0.0001.
v. To conduct a hypothesis test at the 5% level to determine if you agree that the mean entry- level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.
So, the significance level (alpha) is given as 5%.
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how is 27.25 divided by 5 = 5.05. Doesn't it equal 5.45
Answer:
Yes you are right
Step-by-step explanation:
It equals 5.45
can somone please help me with this i kmnow its alot but im begging you
Answer: The answers to the first page
Step-by-step explanation:
Question 1
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
6
−48
>x
Divide −48 by 6 to get −8.
−8>x
Swap sides so that all variable terms are on the left-hand side. This changes the sign direction.
x<−8
Question 2
−3x+8>11
Subtract 8 from both sides.
−3x>11−8
Subtract 8 from 11 to get 3.
−3x>3
Divide both sides by −3. Since −3 is negative, the inequality direction is changed.
x<
−3
3
Divide 3 by −3 to get −1.
x<−1
Question 3
15x+60>240
Subtract 60 from both sides.
15x>240−60
Subtract 60 from 240 to get 180.
15x>180
Divide both sides by 15. Since 15 is positive, the inequality direction remains the same.
x>
15
180
Divide 180 by 15 to get 12.
x>12
Question 4
3rd answer choice
Question 5
First, let's calculate how many miles he has left.
80 - 14 = 66
Now, to figure out how many miles a day in 6 days, divide.
66/6 = 11
Xavier should bike 11 miles on each of the 6 remaining days.