Therefore the point P in the coordinate plane comes out to be (2,10)
and the distance between the points is 50.99 units
What is equation?equation is another name for a declaration of equality between two expressions that contain variables and/or numbers. From solving equations is essentially solving problems, solving equations has been the central goal of mathematics since its inception. There are many distinct types of equations that range in complexity, from simple algebraic equations that merely need addition or multiplication through differential equations, exponential equations that use exponential expressions, and integral equations.
we know that,
the point p on the line y=5x that is closest to the point (52,0) will be on the line perpendicular to the line y=5x and go through the point (52,0)
step 1
the slope m perpendicular to the line y=5x is
m1=5
if two lines are perpendicular
m1*m2=-1
m2=-1/5
step 2
with m=-1/5 and the point (78,0) find the equation of a line
y-y1=m*(x-x1)-----> y-0=(-1/5)*(x-52)----> y=-0.20x+10.4
step 3
resolve the equation systems
y=5x
y=-0.20x+10.4
Thus substituting the values in y of x
=> 5x=-0.20x+10.4
=> 5.20x=10.4
=> x=2
Therefore the point comes out to be
x=2
y=10
The least distance between P(2,10) &(52,0)= 50.99 units
Therefore the point P in the coordinate plane comes out to be (2,10)
and the distance between the points is 50.99 units
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Amy got a part-time job working 15 hours a week $12 per hour. How much will she make each week?How many weeks per month will she need to work to cover her monthly expenses?
hmmm let's recall from https://brainly.com/question/30111897 that's she needs 625 bucks to make it monthly.
so her part-time at 15h at $12 per hour, well, that's just 15*12 = 180 bucks weekly, how many weeks she needs to work? well, 625 ÷ 180 ≈ 3.47, so pretty much 3 weeks and about 7 hours more, not quite kinda, 3 weeks and 7 hours is really 624, well if she saves a buck somewheres and get a buck that'll do it =), hmmm so one can say 3 weeks and 8 hours I guess, that's 636 bucks, to cover the 625 expenses.
A town park has two paths leading to the playground. One path is 2 miles from the road and the other path makes a right angle with the road. The two paths intersect at an angle of . What is the approximate distance from the playground to the road along the other path?
The picture shows an upside-down right-angle triangle. The angle of the top vertex is 50 degrees. The length of the hypotenuse is 2 mi and the swing stands on the downside of the triangle
A.
3.1 mi
B.
1.5 mi
C.
1.3 mi
D.
2.6 mi
The approximate distance from the playground to the road along the other path is 1.3 miles.
How to find the distance between the road and the playground?A town park has two paths leading to the playground. One path is 2 miles from the road and the other path makes a right angle with the road. The two paths intersect at an angle of 50 degrees.
The approximate distance from the playground to the road along the other path can be calculated as follows;
using trigonometric ratios,
cos 50° = adjacent / hypotenuse
let
x = distance from the playground to the road along the other path
Hence,
cos 50 = x / 2
cross multiply
x = 2 cos 50°
x = 2 × 0.64278760968
x = 1.28557521937
x = 1.3 miles.
Therefore,
distance form play ground to the road = 1.3 miles.
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- 14 + x = 42, x = is 56 a solution
[tex]\fbox{x=56}[/tex]
Simplify:
[tex]x-14=42[/tex]
Add 14 to both sides:
[tex]x-14+14=42+14[/tex]
[tex]x=56[/tex]
The universities budget covers cost for nine months what is Amy’s monthly budget for textbooks in course supplies? What is her monthly budget for rent on utilities and food? What is your monthly budget for a personal and miscellaneous cost? what is her total monthly budget?
Amy’s monthly budget for textbooks equals $900.00
Amy's monthly budget for rent, utilities and food equals $12,798.
Her monthly budget for a personal & miscellaneous cost equals $2,259.
Her total monthly budget equals $15,957.
What does Budget mean?A budget is refers to an estimation of the revenue and expenses over a specified future period of time and is usually compiled and re-evaluated on a periodic basis.
Budget for textbooks:
= $900.00
Budget for rent, utilities and food:
= $12,798.
Budget for personal and miscellaneous cost:
= $2,259.
Total monthly budget:
= $900 + $12,798 + $2,259
= $15,957
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Which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1). A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1). A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5. A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17. Using Different Representations Which function has a constant additive rate of change of-1/4? y 20 -12 7 21 -1,5 -11 11 14 =2 241-2 22 ~2 -10 23 -2.5 -9 17'
In the picture the correct option is A when the function shown in graph (A) has a constant additive rate of change is -1/4.
Given that,
We have to find which function has an additive change rate that is -1/4 constant throughout time. a line in the coordinate plane with a downward slope. (negative 2, 2) and the line (2, 1).
We know that,
The line goes through the points:
(-2, 2) and (2, 1)
y - 1 = (1-2)/(2+2)[x -2]
y - 1 = (-1/4)[x -2]
y = -x/4 + 1/2 + 1
y = -x/4 + 3/2
The change at a constant additive rate is -1/4.
Therefore, In the picture the correct option is A when the function shown in graph (A) has a constant additive rate of change is -1/4.
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Tia has 28 yards of fabric. If each project needs 3 and one half yards of fabric, how many projects can she complete?
Answer:
8
Step-by-step explanation:
28/3.5=8
NEED HELP ON THESE TWO QUESTIONS PLEASE!
DUE SOON AND I DONT UNDERSTAND IT!
MANY THANKS!
Answer:
3. (a) x, y ∈ W
5. (b) x, y ∈ W
Step-by-step explanation:
Given two problems in which x and y represent numbers of seats, you want to know what, if any, domain the variables are restricted to.
Counting numbersA number of seats is a counting number, possibly including zero. Generally, it will be a member of the set of whole numbers: {0, 1, 2, 3, ...}. They will not be negative, and will not have a fractional part: x ≠ -1, x ≠ 2.3.
In both your problems, x and y are defined as numbers of seats, so will be from the domain of whole numbers.
x ∈ W, y ∈ W
__
Additional comment
The various named domains are usually represented by ...
ℝ — real numbers
ℕ — natural numbers {1, 2, 3, ...}
ℚ — rational numbers
ℤ — integers
ℂ — complex numbers
W — whole numbers (Natural numbers and zero)
We're unfamiliar with the use of I, which we presume is intended to represent Integers.
The following matrix is in reduced row echelon form. Decode from the matrix the solution of the corresponding system of linear equations or state that the system is inconsistent. (If the system is dependent assign the free variables the parameters s and t. If the system is inconsistent, enter INCONSISTENT.) 1 0-4 5 2 0 1 2 -9 3 10 -4 5 21 o 0 00 0 (xi, X2, X3, x4)- X1, X2, X3, X4) =
The solution of the corresponding system of linear equations is: (X1, X2, X3, X4) = (-9s, 10s, -4s, t).
The reduced row echelon form of the matrix is:
1 0 0 -9
0 1 0 10
0 0 1 -4
0 0 0 0
This tells us that the system of linear equations has the following solution:
X1 = -9X4
X2 = 10X4
X3 = -4X4
The system is dependent, so we assign the free variables the parameters s and t:
X1 = -9s
X2 = 10s
X3 = -4s
X4 = t
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An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 900 Blocks 400 Error Total 1800 Use A = .05 to test for any significant differences. The p-value is ? What is your conclusion?
The p value is greater than α.
Hence we made a conclusion that:
There is a significant difference between treatments.
There is no significant difference between treatments.
Given:
An experiment has been conducted for four treatments with eight blocks.
Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 900 Blocks 400 Error Total 1800 Use A = .05 to test for any significant differences.
we are asked to find:
The p-value is = ?
What is your conclusion = ?
P value of treatments = 0.0001
Hence p value is less than α = 0.05
so we reject H₀
P value for blocks = 0.0650
Hence p value is greater than α = 0.05
so we fail to reject H₀
Conclusion:
There is a significant difference between treatments.
There is no significant difference between treatments.
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a hungry statistician analyzed nutritional information from 77 food items available for purchase at a popular coffee shop (seattle's worst). the statistician produces a multiple regression model with response variable calories, and three predictors.
For given regression model, the number 59.89 in the table tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.
In this question we have been given a summary of regression model.
We need to explain the meaning of the number 59.89 in the table.
For given regression model, to view the results of the model, we can use the summary() function in R programming.
In given summary consider the 'Coefficients' table.
The first row gives the estimates of the y-intercept, and the second row gives the regression coefficient of the model.
The 'Estimate' column is the estimated effect, also called the regression coefficient or r² value.
The number 59.89 in the table is coefficient for IsSandwich.
This number tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.
Therefore, the meaning of the number 59.89 in the table: for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.
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The complete question is as shown in the following image
A number subtracted from -16
Answer:
a negative
Step-by-step explanation:
If a city’s maximum temperature was 42 degrees and the minimum was 9 degrees, what is the difference between the two temperatures?
The difference between the two temperatures is 33 degrees.
How to find the difference between the two temperatures?The city's maximum temperature was 42 degrees and the minimum was 9 degrees.
The difference between the two temperatures can be calculated as follows;
The difference in temperature is the subtraction of the minimum temperature from the maximum temperature.
Therefore,
difference between the temperature = maximum temperature - minimum temperature
maximum temperature = 42 degrees
minimum temperature = 9 degrees
Hence,
difference between the temperature = 42 - 9
difference between the temperature = 33 degrees.
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Why is it important to know what qualified ministerial service are
It is important to know what qualified ministerial service are because they are activities that are considered to be tax-exempt under Internal Revenue Service (IRS) rules. These activities are typically related to religious or spiritual work, and may include preaching, teaching, and leading worship services. Understanding what qualifies as ministerial service can help individuals and organizations ensure that they are in compliance with tax laws and can claim the appropriate tax exemptions. It can also help individuals understand their tax liability and plan their finances accordingly.
Find the area and the circumference of a circle with radius 3cm.
Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.
Area: [tex]3.14*3^2=28.26 cm^2\\[/tex]
Circumference: [tex]2*3.14*3=18.84cm[/tex]
a random sample of ten professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars).
For given data of ten professional athletes:
A) A scatter plot of the data is as shown below.
B) An equation of the line of best fit is:
y = 1.7946x + 2.1956
C) The line of best fit on the scatter plot is as shown below.
D) The y-intercept of the line of best fit is: a = 2.1956
The y-intercept represents, on average players with no endorsements earn million dollars each year.
In this question we have been given a random sample of ten professional athletes. In data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars).
A) A scatter plot of the data is as shown below.
B) For given scatter plot we can obsere that the variables show a linear regression.
And the equation of the line of best fit is:
y = 1.7946x + 2.1956
And the coefficient of regression is: R² = 0.9657
C) The line of best fit on the scatter plot is as shown below.
D) The y-intercept of the line of best fit is:
a = 2.1956
The y-intercept means that on average, players with no endorsements earn million dollars each year.
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The complete question is:
A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars).
x y x y
0 2 5 11
3 8 4 9
2 6 3 8
1 3 0 3
6 14 5 10
A) Draw a scatter plot of the data.
B) Use regression to find the equation for the line of best fit. (Round your answers to three decimal places.)
ŷ = ____ + ____ x
C) Draw the line of best fit on the scatter plot.
D) What is the y-intercept, a, of the line of best fit? (Round your answer to three decimal places.)
a =
What does it represent? (Round your answer to three decimal places.)
Hi can someone please help me Im struggling with this!!!
Hence, the measure of the angles are
∠q = 65°
∠r = 65°
∠s = 50°
∠t = 65°
∠b = 64°
Calculating the measure of anglesFrom the question, we are to determine the measure of the angles.
Calculating the measure of angle q
∠q + 65° + (180° - 130°) = 180° (Sum of angles in a triangle)
∠q + 65° + 50° = 180°
∠q + 115° = 180°
∠q = 180° - 115°
∠q = 65°
Calculating the measure of angle r
∠r = ∠q (Corresponding angles)
Therefore,
∠r = 65°
Calculating the measure of angle s
∠s + ∠r + 65° = 180° (Sum of angles on a straight line)
∠s + 65° + 65° = 180°
∠s + 130° = 180°
∠s = 180° - 130°
∠s = 50°
Calculating the measure of angle t
∠t = ∠r (Vertically opposite angles)
Therefore,
∠t = 65°
Second diagram
Calculating the measure of angle b
∠b = ∠a (Corresponding angles)
Therefore,
∠b = 64°
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use interval notation to express the set of real numbers $x$ that satisfies the inequality $(x 2)(x-5) < 0$.
x -2 and x 5 provide the solution to the system of inequalities.
A collection of equations with the same variables is known as a system of equations. The only difference is that you're working with inequalities rather than equations in a system of inequalities. Finding the variable values that will make each inequality true simultaneously is necessary to solve a system like this.
(x+2)(x-5) 0, according to the inequality formula.
The inequality's zeros will be provided by the inequality's zeros, as demonstrated:
(x+2)(x-5) < 0.
(x+2) < 0
x < -2
Similarly;
x - 5 < 0
x < 5
Thus, x -2 and x 5 provide the solution to the system of inequalities.
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Three CDs cost 52.17 If each CD costs the same, how much did one CD cost?
If the cost of 3 CDs is 52.17 then the cost of 1 CD is 17.723.
What do you mean by cost?
Cost is the sum of money needed to produce, market, and sell goods and services or to purchase assets. A cost is added to expense when something is sold or consumed.
Let the cost of 1 CD be x
Then the cost of three CDs will be equal to 3x,
And the cost of three CDs is equal to 53.17.
Equating the costs,
3x = 53.17
x = 53.17/3
x = 17.723
Therefore, the cost of 1 CD is 17.723.
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In an attempt to clean up your room, you have purchased a new floating shelf to put some of your 17 books you have stacked in a corner. These books are all by different authors. The new book shelf is large enough to hold 10 of the books. (a) How many ways can you select and arrange 10 of the 17 books on the shelf? Notice that here we will allow the books to end up in any order. Explain. (b) How many ways can you arrange 10 of the 17 books on the shelf if you insist they must be arranged alphabetically by author? Explain. 6. How many triangles are there with vertices from the points shown below? Note, we are not allowing degenerate triangles - ones with all three vertices on the same line, but we do allow non-right triangles. Explain why your answer is correct. 14. We have seen that the formula for Pln,k) is Your task here is to explain why this is the right formula. (a) Suppose you have 12 chips, each a different color. How many different stacks of 5 chips can you make? Explain your answer and why it is the same as using the formula for P(12,5). (b) Using the scenario of the 12 chips again, what does 12! count? What does 7! count? Explain. (c) Explain why it makes sense to divide 12! by 7! when computing P(12,5) (in terms of the chips). (d) Does your explanation work for numbers other than 12 and 5? Explain the formula P(n,k) = using the variables n and k.
(a) In 70,572,902,400 ways can you select and arrange 10 of the 17 books on the shelf.
(b) In 19,448 ways can you arrange 10 of the 17 books on the shelf if you insist they must be arranged alphabetically by author.
In the given question, in an attempt to clean up your room, you have purchased a new floating shelf to put some of your 17 books you have stacked in a corner. These books are all by different authors. The new book shelf is large enough to hold 10 of the books.
Total number of books = 17
Number of books which self hold = 10
We have to find the following.
(a) We have to find how many ways can you select and arrange 10 of the 17 books on the shelf.
Number of ways to select the 10 books out of 17 books = [tex]^{17}C_{10}[/tex]
Now,
The number of ways of arranging the 10 books = [tex]10![/tex]
Total number of ways of selecting and arranging 10 books out of 17 = [tex]^{17}C_{10}\times10![/tex]
Total number of ways of selecting and arranging 10 books out of 17 = [tex]\frac{17!}{10!(17-10)!}\times10![/tex]
Total number of ways of selecting and arranging 10 books out of 17 = [tex]\frac{17!}{10!7!}\times10![/tex]
Total number of ways of selecting and arranging 10 books out of 17 = [tex]\frac{17\times16\times15\times14\times13\times12\times11\times10\times9\times8\times7!}{7!}[/tex]
Total number of ways of selecting and arranging 10 books out of 17 = 17×16×15×14×13×12×11×10×9×8
Total number of ways of selecting and arranging 10 books out of 17 = 70,572,902,400
Hence,
Total number of ways of selecting and arranging 10 books out of 17
(b) We have to find how many ways can you arrange 10 of the 17 books on the shelf if you insist they must be arranged alphabetically by author.
Number of ways to select the 10 books out of 17 books = [tex]^{17}C_{10}[/tex]
Number of ways of arranging the 10 books alphabetically = 1
Total number of ways of arranging 10 books out of 17 in the shelf = [tex]^{17}C_{10}[/tex]
Total number of ways of arranging 10 books out of 17 in the shelf = [tex]\frac{17\times16\times15\times14\times13\times12\times11\times10!}{10!\times7\times6\times5\times4\times3\times2\times1}[/tex]
Total number of ways of arranging 10 books out of 17 in the shelf = 19,448
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What is the next term in the geometric sequence 8 24 72?; What is the rule of this number pattern 8/24 72 216?; What is the common ratio R of 8/24 72?; What is the common ratio between the terms of the geometric progression 72?
Using basic geometric sequence rule with common ratio of 3, The answer is 216.
What do you mean by sequence?A sequence is a list of objects that is in order in mathematics (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered elements (potentially infinite).
What do you mean by Geometric Sequence and What is the formula for common ratio?Each phrase in a geometric sequence is obtained by multiplying the one before it by a constant.
Formula for common ratio is:
[tex]r= \frac {x^{n+1}}{x^{n}}[/tex]
r= 24/8
=3
Next term in sequence = 72 * 3
=216
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One of the major attractions in Yellowstone National Park is the Old Faithful geyser. The scatterplot shows the relationship between x = the duration of the previous eruption (in minutes) and y = the interval of time between eruptions (in minutes). The equation of the regression line relating these variables is = 33.35 + 13.29x. Predict the interval of time between eruptions if the previous eruption lasted 4 minutes. (LT 2.5.1 #1)
answer choices
The predicted y is 86.51 minutes.
The predicted y is 53.16 minutes.
The predicted y is about 90 minutes.
There is no such thing, because that would be an extrapolation.
the predicted interval of time between eruptions would be 53.16 minutes with regression equation.
The equation of the regression line is y = 33.35 + 13.29x.
Plugging in x = 4, we get y = 33.35 + 13.29(4) = 53.16 minutes.
The equation of the regression line is y = 33.35 + 13.29x. This equation is used to predict the interval of time between eruptions based on the duration of the previous eruption. By plugging in the value of x (4) into the equation, the predicted y value is 53.16 minutes. This means that if the previous eruption lasted 4 minutes, the predicted interval of time between eruptions would be 53.16 minutes.
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Is X 8 is a factor of f/x Which of the following must be true?
If (x + 8) is a factor of f(x), then the true statement is f(-8) = 0 .
In the question ,
it is given that , x [tex]+[/tex] 8 is factor of f(x) ,
we have to select the correct option about f(x) from the given options .
When solving the polynomials, a factor of the polynomial gives the solution of the polynomial.
that means , x + 8 = 0
So , x = -8 ,
So , it means that when x = -8 , then the value of the function f(-8) will be zero ,
which means that x = -8 will be a root of the given function f(x) .
Therefore , the true statement is f(-8) = 0 .
The given question is incomplete , the complete question is
If (x + 8) is a factor of f(x), which of the following must be true ?
(a) Both x = –8 and x = 8 are roots of f(x).
(b) Neither x = –8 nor x = 8 is a root of f(x).
(c) f(–8) = 0
(d) f(8) = 0
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A basketball player has a constant probability of 0.4 of making any given shot, independent of previous shots. Let an be the ratio of shots made to shots attempted after n shots. The probability that a10 = 0.4 and an ≤ 0.4 for all n such that 1 ≤ n ≤ 9 is given to be p^aq^br/s^c where p,q,r and s are primes, and a, b, and c are positive integers. Find (p+q+r+s)(a+b+c)
The value of (p+q+r+s) / (a+b+c) is 3.66 if the basketball player has probability 0.4 to make a perfect shot.
We know that if probability is given for r distribution and if question is asking distribution for n terms, we need to use binomial probability distribution which is given by [tex]^nC_r[/tex][tex]p^r[/tex][tex]q^r[/tex] where p is defined as the success probability and q is called as failure probability.
We have success probability =0.4
Failure probability(q) = 1-p=1-0.4=0.6
From 9 terms, we need to choose single term having success probability =0.4 and failure probability=0.6
So, this can be given by =[tex]^9C_1[/tex] × (0.4)¹ ×(0.6)⁹⁻¹
which is equivalent to =9 × (0.4) × (0.6)⁸
On comparing with the given equation =([tex]p^a[/tex] × [tex]q^b[/tex]×[tex]r^d[/tex]) / [tex]s^c[/tex] ,we get
p=9,a=1,q=0.4,b=1,r=0.6,d=8,s=1,c=1.
So,value of p+q+r+s = 9+0.4+0.6+1=11
and value of a + b + c = 1+1+1=3
So, value of (p + q + r + s) / (a + b + c)= 11 / 3=3.66
Hence, required value is 3.66
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Twice a number added to a smaller number is 5. The difference of 5 times the smaller number and the larger number is 3. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
2 y + x = 5. 5 x minus y = 3.
2 x + y = 5. 5 y minus x = 3.
2 y + x = 5. y minus 5 x = 3.
2 x + y = 5. x minus 5 y = 3.
Answer:
A) 2y + x = 5. 5x - y = 3
Step-by-step explanation:
twice a number = 2y (y represents the larger number in this case)
added to a smaller number, so 2y + x (letting x represent the smaller number) equals 5, so 2y + x = 5
Then 5 times the smaller number, x = 5x
the difference of 5x and the larger number (y) = 5x - y = 3
so all together your equation would be 2y + x = 5. and 5x - y = 3.
Please help witht this ones. I need help
28. The pair of angles is classified as: alternate exterior angles.
29. The pair of angles is classified as: alternate interior angles.
30. The measure of the larger angle is of: 160º.
How to classify the pair of angles?In both items 28 and 29, we have that two parallel lines are cut by a transversal, hence the angles are classified as follows:
3 and 6: alternate exterior angles, as they are on the opposite side of the transversal line, and both are outside the region between the two parallel lines.2 and 7: alternate interior angles, as they are between the two parallel lines, on the opposite side of the transversal.What are linear pairs?Two angles are called linear pairs if they are supplementary, that is, if the sum of their measures is of 180º.
In this problem, we have that two angles form a linear pair, hence:
x + y = 180º.
The measure of the greater angle is eight times the measure of the smaller angle, hence:
x = 8y.
Thus:
8y + y = 180
9y = 180
y = 20º.
Then the measure of the larger angle is of:
x = 8y = 8 x 20 = 160º.
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In addition to putting books on the shelves, Mandy wants to put CD's on the shelves as well. If each shelf is 28 inches long and each CD is 1 3/ inch thick, how many CD's can she place on a shelf?
There are 9 CD's can she place on a shelf.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Each shelf is 28 inches long and each CD is 1 3/ inch thick.
Now,
Since, Each shelf is 28 inches long and each CD is 1 3/ inch thick.
Hence, The number of CD's = 28 x 1/3
= 9.33
= 9
Thus, There are 9 CD's can she place on a shelf.
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TRUE/FALSE. A two-factor study compares 2 levels of factor A and 3 levels of factor B with a sample of n = 5 participants in each treatment condition. This study uses a total of 25 participants.
The given statement "A two-factor study compares 2 levels of factor A and 3 levels of factor B with a sample of n = 5 participants in each treatment condition. This study uses a total of 25 participants." is true.
The term probability refers the occurrence of a random event.
Here we have given the statement "A two-factor study compares 2 levels of factor A and 3 levels of factor B with a sample of n = 5 participants in each treatment condition. This study uses a total of 25 participants."
And we have to identify whether this one is true or not.
While looking into the given question, we have identified the value like the following,
level in factor A = 2
levels in factor B = 3
Number of participants = 5
Then the total number of participants is calculated as,
=> (3 + 2) x 5
Now, we have to expand the given equation, then we get,
=> 5 x 5
Then the total number of participants is 25.
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which statement is true about the graphed function? F(x) < 0 over the intervals (–[infinity], –2.5) and (–0.75, 0.75).
F(x) > 0 over the intervals (–[infinity], –2.5) and (–0.75, 0.75).
F(x) < 0 over the intervals ( –2.5, –0.75) and (–0.75, [infinity]).
F(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, [infinity]).
F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
Lets explain the graph to answer the problem
- When we ask about f(x) we means the values of y
- f(x) > 0 means the graph is over the x-axis because over the x-axis
y is positive
- f(x) < 0 means the graph is under the x-axis because under the x-axis
y is negative.
* Lets describe each part of the graph
- The graph intersect the x-axis at :
x = -2.5 , x = -0.75 , x = 0 , x = 0.75
- The graph is over the x-axis between -∞ and -2.5 and between
-0.75 and 0.75
At x = -2.5 f(x) = 0 , at x = -0.75 f(x) = 0 , at x = 0.75 f(x) = 0
∴ x = (-∞ , -2.5) and (-0.75 , 0.75)
∴ f(x) > 0 over the intervals (-∞ , -2.5) and (-0.75 , 0.75)
- The graph is under the x-axis between -2.5 and -0.75 and between
0.75 and ∞
At x = -2.5 f(x) = 0 , at x = -0.75 f(x) = 0 , at x = 0.75 f(x) = 0
∴ x = (-2.5 , -0.75) and (0.75 , ∞)
∴ f(x) < 0 over the intervals (-2.5 , -0.75) and (0.75 , ∞)
* The true statement in the answer is;
F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
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Given the vector u equal to 7 (cos 330°, sin 330°) and vector v equal to
4 (cos 90º, sin 90°), find the sum u + v and write your answer in magnitude and
direction form with the magnitude rounded to the nearest tenth and the direction
rounded to the nearest degree, 0° ≤ 0 < 360°.
The magnitude and direction form with the magnitude rounded to the nearest tenth and the direction rounded to the nearest degree 5.4<cos335°<, sin335°
What is direction ?
Direction is characterized as the course that anything follows, the route that must be taken to go to a particular location, the direction in which something is beginning to take shape, or the direction you are facing. When you turn right instead of left, that is an illustration of direction.
The basis of the x, y, and z directions of a line or unit vector is identified by the number triplet known as the direction number. They are easily identified as a percentage of a unit vector.
u = 7cos300°i + 7sin300j
v = 4cos70i + 4sin70 j
u = 7*0.5i + 7*(-√3/2)j
= 3.5i - 6.062j
v = 1.368i + 3.758j
u + v =(3.5+1.368)i +(-6.062+3.758)j
= 4.868i +(-2.304)j
Magnitude of (u+v) = √(4.868)² +(2.304)²
= 5.385 ≈ 5.4
For direction
tanФ = y/x
= -2.304/4.868
Ф = -25.327
∴(u+v) is in 4th Quandrant
∴ Ф = 360 - 25.327
= 334.672
≈ 335°
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The price of a gift plus 14% delivery charge comes to a total cost of $19.38. What was the price of the gift?
Step 1 of 2 : Describe the above situation as a linear equation, using "x" or "y" as variable names to describe the unknown quantity.
Answer:
17 $
Step-by-step explanation:
let y - total cost of a gift
x - price of the gift
the total cost of the gift is its price + 14% delivery, which can be written as:
y = x + 14% * x = x + 0.14x = 1.14 x
by making the substitution with the data from the task
19.38 = 1.14*x
x = 19.38/1.14 = 17
