Answer: The correct answer is "Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim."
Step-by-step explanation:
I took the test
What is the solution to this equation? 125^x-2= (1/25)^3x
The equation 125ˣ⁻² = (1/25)³ˣ when solved for x by the calculations below is 2/3
How to evaluate the equation for xWe can simplify both sides of the equation using the properties of exponents:
125ˣ⁻² = (1/25)³ˣ
Rewrite 125 as 5³ and 1/25 as 5⁻²
(5³)ˣ⁻² = (5⁻²)³ˣ
Simplify the exponents by multiplying:
5³ˣ ⁻ ⁶ = 5⁻⁶ˣ
Now we can see that the equation involves powers of the same base (5).
Therefore, we can solve for x by equating the exponents:
3x - 6 = -6x
Add 6x to both sides:
9x - 6 = 0
Add 6 to both sides:
9x = 6
Divide both sides by 9:
x = 2/3
Therefore, the solution to the equation is x = 2/3.
Read more about equation at
https://brainly.com/question/18831322
#SPJ1
Shakita buys an apple tree and a cherry tree and measures them at the end of every
year for 5 years. After 1 year, the apple tree is 14 feet tall. After 5 years, it is 22 feet
tall. The cherry tree's height is represented by y = 3x + 8.
If both trees grew at a constant rate, which tree was taller when they were planted,
and which grew more quickly?
OA. The cherry tree was taller when the trees were planted, and it also grew
more quickly.
OB. The apple tree was taller when they were planted, but the cherry tree
grew more quickly.
OC. The cherry tree was taller when the trees were planted, but the apple tree
grew more quickly.
D. The apple tree was taller when the trees were planted, and it also grew
more quickly.
PRE
< PREVIOUS
2 of 2
Answer: B
Step-by-step explanation:
because I did it and it was right lol
Use fractions strips to help find the difference. Answer your answer in simplest form three and five 1 and two
To find the difference between 3/5 and 1/2 using fraction strips, we can use strips that are divided into fifths and halves, respectively.the difference between 3/5 and 1/2 is 2/10 or 1/5, , the answer in the simplest form is 1/5.
What is the use of fractions strips?First, we'll need to represent each fraction using the fraction strips.
For 3/5, we can use three fifths strips to represent the numerator and put them together to form a whole.
For 1/2, we can use one half strip and cut it into two equal parts to represent the numerator.
Next, we'll need to compare the two fractions by placing them side by side.
We can see that the two fractions do not have the same denominator, so we need to find a common denominator to make the comparison easier.
The smallest common multiple of 5 and 2 is 10, so we can represent 3/5 using six tenths strips, and 1/2 using five tenths strips.
We can see that there are two tenths strips that are not shared between the two fractions.
Therefore, the difference between 3/5 and 1/2 is 2/10 or 1/5, , the answer in the simplest form is 1/5.
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ9
How do you solve the equation x=1.8x+32
One way to do this is to subtract 1.8x from both sides of the equation, which gives:
x - 1.8x = 32
Simplifying the left-hand side, we get:
-0.8x = 32
To solve for x, we can divide both sides of the equation by -0.8:
x = 32 / (-0.8)
Simplifying, we get:
x = -40
You work part-time at a diner that pays you $6. 75/hr plus tips. Tips average $3. 50/hr. Your deductions are FICA (7. 56%), Federal tax withholding (9. 6%), and state tax withholding (6. 7%). You work 13 hours per week. What is you gross pay per month including tips? $533. 00 $351. 00 $507. 00 $520. 0
Your gross pay per month including tips is $533.00. The answer is A) $533.00.
First, let's calculate your hourly wage including tips:
Hourly wage including tips = $6.75 + $3.50 = $10.25
Next, let's calculate your total earnings per week:
Total earnings per week = hourly wage including tips x hours worked per week
= $10.25 x 13 hours
= $133.25
Now let's calculate the deductions from your earnings:
FICA deduction = 7.56% x $133.25 = $10.08
Federal tax withholding = 9.6% x $133.25 = $12.80
State tax withholding = 6.7% x $133.25 = $8.92
Total deductions = $10.08 + $12.80 + $8.92 = $31.80
Finally, let's calculate your gross pay per month:
Gross pay per month = total earnings per week x 4 weeks - total deductions
= ($133.25 x 4) - $31.80
= $533.00
Therefore, your gross pay per month including tips is $533.00. The answer is A) $533.00.
To learn more about gross pay Click here:
brainly.com/question/13143081
#SPJ4
please help!! I need this by the end of tonight..!
Answer:
y=2.05x
Step-by-step explanation:
Figure out what the total cost is for 1 of them then you put that in as your M value, then X stands for number of sheets so 2.05 multiplied by the number of sheets sold you get your Y which is the total cost in dollars for x sheets.
In the figure, lines a and b are parallel lines. Select all the statements that are true. Parallel lines A and B cut by a transversal. Line A and the transversal form angles 1, 2, 3, and an angle with measure 75 degrees. In the corresponding positions, line B and the transversal form an angle with measure x minus 15 degrees and angles 4, 5, and 6. m∠1 = m∠6 m∠2 = m∠6 m∠1 + m∠6 = 180° x = 90° x = 120°
Therefοre, the sοlutiοn οf the given prοblem οf angles cοmes οut tο be m∠1 + m∠6 = 180°.
What dοes an angle mean?The largest and smallest walls οf a skew are determined by the intersectiοn οf lines that create its ends. There is a chance that twο lines will cοme tοgether at a junctiοn. Anοther result οf twο οbjects interacting is an angle. They mοst clοsely resemble dihedral fοrms. Twο line beams can be arranged in different ways between their extremities tο fοrm a twο-dimensiοnal curve.
Here,
=> m∠1 + m∠2 = 180° (interior angles on the same side of the transversal and between the parallel lines)
=> m∠4 + m∠5 = 180° (interior angles on the same side of the transversal and between the parallel lines)
Other views shown in the figure include:
=> m∠3 = 75° (given)
=> m∠1 = m∠6 (corresponding angles)
Vertical angles: m2 = m6 x - 15° (alternate interior angles)
Angles corresponding to m4 are m5 (vertical angles)
So let's assess each assertion:
Since they are corresponding angles, m1 = m6 is correct.
This is also accurate because the angles are vertical: m2 = m6.
M1 + M6 = 180°: Since they are linear pairs, this is correct.
=> x = 90°: According to the data in the illustration, this isn't always the case.
=> x = 120°: Based on the data shown in the illustration, this is also not always the case.
Thus, the following assertions are true:
=> m∠1 = m∠6
=> m∠2 = m∠6
=> m∠1 + m∠6 = 180°
To know more about angles visit:
brainly.com/question/14569348
#SPJ1
is it possible that all solutions of a homogeneous system of ten linear equations in twelve variables are multiples of one fixed nonzero solution? discuss.
Yes, it is possible for all solutions of a homogeneous system of ten linear equations in twelve variables to be multiples of one fixed nonzero solution.
This occurs when the rank of the matrix of coefficients of the system is less than the number of variables, in this case 12. In this case, the system has infinitely many solutions, all of which can be expressed as a multiple of one nonzero solution.
To illustrate this concept, consider the following system of two equations in three variables:
[tex]2x + y + 3z = 0[/tex]
[tex]3x + y + 2z = 0[/tex]
The matrix of coefficients for this system is:
[tex][[3, 1, 2][/tex]
[tex][2, 1, 3]][/tex]
The rank of this matrix is 2, which is less than the number of variables, 3. Therefore, this system has infinitely many solutions, all of which can be expressed as a multiple of the following nonzero solution:
[tex](x, y, z) = (2, -3, 1)[/tex]
In other words, any solution [tex](x, y, z)[/tex] of the system will be of the form [tex](2a, -3a, a)[/tex], where a is any real number. This concept can be generalized to systems of ten linear equations in twelve variables.
In conclusion, when the rank of the matrix of coefficients of a homogeneous system of linear equations is less than the number of variables, then all solutions of the system are multiples of one fixed nonzero solution.
See more about linear equations at: https://brainly.com/question/28144615
#SPJ11
If vector r = ❬4, 6❭ and s = ❬8, –3❭ then which is r – s?
Answer:
r - s = (4 - 8, 6 - (-3)) = (-4, 9)
solve the system 2 -1 5 -2 with -2 -1 . give your solution in real form. , . an ellipse with counterclockwise orientation 1. describe the trajectory.
The solution of the system 2 -1 5 with -2 -1 in real form is (x, y) = (7/4, 7/2).
To solve the system with the given coefficients, first, let's rewrite it as a linear system of equations:
2x - y = 5
-2x - y = -2
Now, let's solve this system step-by-step:
Step 1: Solve for y in the first equation:
y = 2x - 5
Step 2: Substitute the expression for y from Step 1 into the second equation:
-2x - (2x - 5) = -2
Step 3: Simplify and solve for x:
-2x - 2x + 5 = -2
-4x = -7
x = 7/4
Step 4: Substitute the value of x back into the expression for y:
y = 2(7/4) - 5
y = 7/2
The solution in real form is (x, y) = (7/4, 7/2).
Regarding the ellipse with counterclockwise orientation, the trajectory can be described as a smooth, closed curve in the shape of an ellipse. The ellipse will have a major and minor axis, with the points on the ellipse moving continuously in a counterclockwise direction along the curve.
To learn more about trajectory: https://brainly.com/question/13244761
#SPJ11
Which results only in a horizontal compression of Y by a factor of 6?
Answer:
Y = 6*y
Step-by-step explanation:
We have Y = b * y by a factor of 6.
That is, b = 6.
now, to find what results only in a horizontal compression of y = b * y by a factor of 6.
By transformation rule, the function would be a horizontal compression f (a * x) if a> 1.
Therefore, knowing the above, the answer would be:
Y = 6 * y
50 Points!!! Are the Factor Theorem and Synthetic Division the same? If not, explain the difference.
Answer:
The Factor Theorem and Synthetic Division are not the same. The Factor Theorem states that if a polynomial f(x) has a root c, then x - c is a factor of f(x). Synthetic Division is a way of dividing a polynomial by a binomial.
Step-by-step explanation:
To use Synthetic Division, you first need to find the coefficients of the polynomial. Then, you set up the synthetic division table with the binomial on top and the coefficients of the polynomial on the bottom. Starting with the first coefficient, you multiply it by the first term of the binomial and write the product below the coefficient. Then, you add the two numbers below the product and write the sum below that. Continue until you reach the end of the binomial. The remainder at the bottom of the table is the remainder when f(x) is divided by x - c.
If the remainder is 0, then x - c is a factor of f(x).
3 2/5 -1 3/5!!
Please i need help!
Answer:
Step-by-step explanation:
3 2/5 -1 3/5 = 1.8
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 7, with tick marks every one unit up to 32. The graph is titled Tickets Sold for A Dance. The box extends from 15 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 8 and 31.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 13.
The IQR is the best measure of variability, and it equals 6.
The range is the best measure of variability, and it equals 13.
The range is the best measure of variability, and it equals 6.
The correct statement regarding the best measure of the variability is given as follows: The IQR is the best measure of variability, and it = 6. The Interquartile Range (IQR of a data-set. As it not affected by outliers, it is the best measure of variability of a data-set. The quartiles for this problem are given as follows: First quartile: Q1 = 15. Third quartile Q3 = 21. Hence the IQR is obtained as follows: IQR = 21 - 15 IQR = 6
Answer: The IQR is the best measure of variability, and it equals 6.
IQR is the best way to measure the variability in this question and its also equal to six. I took the test just now and got it right i cant really explain anything else.
During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon? _____ gallons
Answer:30 gallons
Step-by-step explanation:
Answer:
30 gallons of tea
Step-by-step explanation:
Step 1:
First, before we do anything, let's convert 2 hours into minutes. There are 60 minutes in an hour, so we would multiply 60 and 2 to get 120 minutes.
Step 2:
Since we know that 4 cups of tea are poured every minute, we must multiply 4 by 120 because it is poured every 1 minute, and 4 × 120 = 480.
Step 3:
We also know that there are 16 cups of tea in one gallon, so we would divide 480 by 16 because we are trying to get how many gallons there are. 480 ÷ 16 = 30, so there are 30 gallons of tea poured in two hours.
whats the answer to this problem on imagine math?
Name and draw a quadrilateral that is NOT a rectangle or a rhombus. Is there another shae you couldve drawn? Explain
One example of a quadrilateral that is not a rectangle or a rhombus is a trapezoid. A trapezoid has one pair of opposite sides that are parallel, but the other pair of sides are not. (the figure is attached is attached below)
Yes, there are many other shapes that could have been drawn, such as a kite, parallelogram, or irregular quadrilateral. The possibilities are endless, as long as the shape has four sides.
A trapezoid is a quadrilateral with one pair of opposite sides parallel, but the other pair of sides are not. It can be visualized as a shape that resembles a ladder. Unlike a rectangle or rhombus, a trapezoid does not have equal side lengths or equal angles. It can be used in various mathematical contexts, such as finding the area or perimeter of a geometric figure. Additionally, there are many other shapes that could have been drawn instead of a trapezoid, as long as they have four sides. The shapes could have different angles and side lengths, leading to different properties and applications.
Learn more about quadrilateral here: brainly.com/question/29934440
#SPJ4
True or False: Of the major economies in the world, Italy had the highest growth rate of real GDP per capita between 1982 and 2009
The given statement regarding the GDP of major economies of the world is False.
To determine the accuracy of this statement, we would need to gather data on the real GDP per capita growth rates of major economies between 1982 and 2009 and compare them. Without this data, we cannot definitively say whether the statement is true or false. However, based on historical trends and current economic data, it is unlikely that Italy had the highest growth rate of real GDP per capita during this time period.
Learn more about the Economy:
https://brainly.com/question/28210218
#SPJ4
Wright a function (eqaution) that can be used to fined y, the total cost, dollars ,of buying x shirts from the local stare
The equation will be :20 + 8.95 × 10 = $109.50
Here the total cost is $109.50.
Total cost refers to the total cost of production, which includes the fixed and variable parts of the cost. In economics, total cost is described as the cost required to produce a product. The total cost consists of two parts and they are: Fixed costs: These are the costs that do not change.
According to the Question:
C = 20 + 8.95× t
This can be read as : The total cost (C) will be $20 (setup fee) plus $8.95 for each t-shirt ordered (t).
The equation will be:
10 shorts would be 20 + 8.95*10, or $109.50.
Complete Question:
A t-shirt company charges a $20.00 set-up fee plus $8.95 for each t-shirt that is screen-printed with a school’s logo. Write a function that can be used to find the total cost, C, for purchasing and screen printing, t, number of t-shirts.
Learn more about Equation:
https://brainly.com/question/29538993
#SPJ4
Can someone give me a little help on this?
Answer:
The possible coordinates of point A are (−8,1) or (8,1).
Triangle TUV, with vertices T(-8,2), U(-2,8), and V(-9,9), is drawn inside a rectangle, as shown below.
The area of triangle TUV with vertices T(-8,2), U(-2,8), and V(-9,9) are 13.4 units.
What is triangle?A triangle is a closed two-dimensional plane figure that has three sides, three angles, and three vertices. The sum of the angles of a triangle is always 180 degrees. Triangles can be classified based on the length of their sides and the size of their angles. Some common types of triangles include equilateral, isosceles, scalene, acute, obtuse, and right triangles. Triangles are a fundamental concept in geometry and are used in many areas of mathematics and science.
Here,
To find the area of triangle TUV, we can use the formula:
Area = 1/2 * base * height
We can choose any two sides of the triangle as the base and the corresponding height. Let's choose TU as the base and the perpendicular distance from V to TU as the height.
First, let's find the length of TU:
TU = √[(8 - 2)² + (-2 - (-8))²]
= √[6² + 6²]
= 6√(2)
Next, let's find the slope of TU:
mTU = (8 - 2) / (-2 - (-8))
= -3/2
The line perpendicular to TU passing through V has a slope equal to the negative reciprocal of mTU:
mVQ = 2/3
The equation of the line passing through V and perpendicular to TU is:
y - 9 = (2/3)(x + 9)
Solving for x and y at the point where this line intersects TU, we get:
y = (2/3)x + 19
(2/3)x + 19 = -3x/2 + 7
x = -8/7
y = 94/21
The perpendicular distance from V to TU is the absolute value of y - 8:
|94/21 - 8| = 2/21
So, the area of triangle TUV is:
Area = 1/2 * TU * (2/21)
= (1/21)√(2)
To find the area of rectangle QRS, we need to find the length and width. We can use the distance formula to find the length QR and the width QS:
QR = √[(9 - (-8))² + (9 - 2)²]
= √[289]
= 17
QS = √[(9 - (-9))² + (2 - 2)²]
= √[324]
= 18
So, the area of rectangle QRS is:
Area = QR * QS
= 17 * 18
= 306
Area of triangle QRS = Area of rectangle QRS - Area of triangle TUV
= 306 - (1/21)√(2)
≈ 13.4 units
So, the answer is (C) 13.
To know more about triangle,
https://brainly.com/question/28600396
#SPJ1
Complete question:
Triangle TUV, with vertices T(-8,2), U(-2,8), and V(-9,9), is drawn inside a rectangle. What is the area, in square units, of the triangle TUV?
A. 7
B. 10
C. 13
D. 18
algrebra if8762 a rectangle has a perimeter of 18 cm. its length is 5 cm greater than its width. find the dimensions.
The perimeter of a rectangle is equal to twice the length plus twice the width. Therefore, 18 cm = 2(length + 5) + 2(width). This equation can be solved by subtracting 2(width) from both sides, resulting in 18 - 2(width) = 2(length + 5). Finally, dividing both sides by 2 gives us 9 - width = length + 5. Therefore, width = 4 cm and length = 9 cm.
In this problem, we were given the perimeter of a rectangle, and asked to find its dimensions. We used the formula for the perimeter of a rectangle to set up an equation and solve for the length and width. The width of the rectangle turned out to be 4 cm, and the length was 9 cm, with the length being 5 cm greater than the width.
Know more about dimensions here
https://brainly.com/question/28688567#
#SPJ11
A 3 cm times 10 cm rectangle sits inside a circle with radius of 12 cm
Answer:
Step-by-step explanation: Since the rectangle sits within the larger circle, let's look at it this way:
Area of Shaded Region = Area of Circle - Area of Rectangle
OR
(X) =( pi * r^2 ) - (rectangle length * rectangle width)
Now we fill in the numbers where we know the numbers:
(X) = (pi * (12 cm)^2) - (3cm * 10cm)
(X) = (pi * 144cm^2) - (30 cm^2)
(X) = 144pi - 30
(X) = 452.39 - 30
(X) = 422.39 cm^2
5x5=25+1=26+6=
solve the eqation
Answer:
(5 x 5 = (25) + 1 = (26) + 6 = ?)
= 32Step-by-step explanation:
You're welcome.
Answer: 32
Step-by-step explanation:
5x5 is 25 +1=26 so 26+6=32
what moves beyond excel graphs and charts into sophisticated analysis techniques such as controls, instruments, maps, time-series graphs, and more?
Answer:
Data Visualization Tools
Step-by-step explanation:
What is the equation of this graph?
A.) y=-x²-2x-8
B.) y=x²-2x-8
C.) y=3x²-12x-8
D.) y=-3x²-12x-8
The equation of the quadratic function that passes through these points is:
[tex]y = -3x^2 - 12x - 8.[/tex]
What is quadratic equation?
A quadratic equation is a polynomial equation of the second degree, which means it contains one variable with an exponent of 2. The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
Using polynomial interpolation with these 5 points, we can find a quadratic polynomial that passes through all the points. Let the equation of the polynomial be [tex]y = ax^2 + bx + c[/tex].
Using the point (0, -8), we get:
[tex]-8 = a(0)^2 + b(0) + c[/tex]
c = -8
Using the point (-1, 1), we get:
[tex]1 = a(-1)^2 + b(-1) - 8[/tex]
a - b = 9
Using the point (-3, 1), we get:
[tex]1 = a(-3)^2 + b(-3) - 8[/tex]
9a - 3b = 27
Using the point (-4, -8), we get:
[tex]-8 = a(-4)^2 + b(-4) - 8[/tex]
16a - 4b = 0
Using the point (-2, 4), we get:
[tex]4 = a(-2)^2 + b(-2) - 8[/tex]
4a - 2b = 12
Solving this system of equations, we get:
a = -3
b = -12
c = -8
Therefore, the equation of the quadratic function that passes through these points is:
[tex]y = -3x^2 - 12x - 8.[/tex]
To learn more about quadratic equation visit:
https://brainly.com/question/1214333
#SPJ1
how many ways are there to put 23 identical objects into 7 distinct containers so that no container is empty?
This problem is a classic example of applying the stars and bars combinatorial method.
To solve this problem, we need to distribute 23 identical objects into 7 distinct containers so that none of the containers is empty. Let's start by assuming that each container has at least one object. This means we have distributed 7 objects, leaving 16 objects to be distributed.
We can now use the stars and bars method to distribute these 16 objects. Imagine placing all 16 objects in a line, and placing 6 dividers between them to separate them into 7 groups (one for each container). Each group will then receive the objects that are to the left of the divider.
For example, if we have the sequence OO|OOO|O|OOO|OO|OO|O, this corresponds to 2 objects in the first container, 3 objects in the second container, 1 object in the third container, and so on.
The number of ways to place the 6 dividers in the sequence of 16 objects is the same as the number of ways to choose 6 positions out of 16 to place the dividers. This can be computed using the formula for combinations:
$${16 \choose 6} = \frac{16!}{6!(16-6)!} = 8008$$
Therefore, there are 8008 ways to distribute 23 identical objects into 7 distinct containers so that no container is empty.
For more details about combinatorial click here:
https://brainly.com/question/30574889#
#SPJ11
according to 2016 united states census data, women represent 50.8 % of the population. thus, do the percent of women in the stem field accurately represent the percent of women in the population? by how much do they differ? show your math!
Answer: 100000
Step-by-step explanation:
Could someone please help me I don’t understand this
in a sampling distribution of means 1. the distribution will approximate the normal distribution (bell curve). 2. the mean of the sampling dsitribution will equal the mean of the population 3. the standard deviation of the sampling distribution is called the standard error. this is based on the
In a sampling distribution of means, the distribution will approximate the normal distribution, the mean of the sampling distribution will equal the mean of the population and the standard deviation of the sampling distribution is based on Central Limit Theorem, option A.
The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape, the distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.
In other words, the central limit theorem (CLT) is a statistical assumption that, given a sufficiently enough sample size from a population with a limited degree of variance, the mean of all sampled variables from the same population will be roughly equal to the mean of the entire population. According to the law of large numbers, these samples also resemble a normal distribution, with their variances almost equaling the variation of the population as the sample size increases.
Learn more about Central Limit Theorem:
https://brainly.com/question/18403552
#SPJ4
Complete question:
In a sampling distribution of means... 1. the distribution will approximate the normal distribution (bell curve). 2. the mean of the sampling distribution will equal the mean of the population 3. the standard deviation of the sampling distribution is called the standard error. This is based on the...
Central Limit Theorem
Standardization of Transformation
Z-Score Distribution Table
Relative Frequency of Probability