For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
Choose the correct null and alternative hypotheses below.
A. H0: μ = 22.1 months
Ha: μ > 22.1 months
B. H0: μ = 22.1 months
Ha: μ 22.1 months
C. H0: μ = 22.1 months
Ha: μ < 22.1 months
D. H0: μ > 22.1 months
Ha: μ = 22.1 months
E. H0: μ 22.1 months
Ha: μ = 22.1 months
F. H0: μ = 22.1 months
Ha: μ > 22.1 months
Which of the following is the correct classification of the hypothesis test?
A. Two-tailed
B. Left-tailed
C. Right-tailed
Answers
Answer:
Option B:
\(H_0: \mu = 22.1\)
\(H_a: \mu \neq 22.1\)
Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:
\(H_0: \mu = 22.1\)
A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:
\(H_a: \mu \neq 22.1\)
Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
Related Questions
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
Answers
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).
The scale for a map to actual distance is 2 cm to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 4.5 cm. What is the actual distance in miles between Los Angeles and Las Vegas?
Answers
Answer:
225 miles
Step-by-step explanation:
We start by converting it into a fraction, then multiply by the quantity
\(\frac{100 miles}{2 cm} *4.5 cm =225 miles\)
Can somebody please help me I don’t know what to do. Thank you
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You are being asked to draw the reflection of the triangle DKW.
As with a reflection in a mirror, the reflected object appears to be as far behind the mirror as the original object is in front of the mirror.
When you reflect a point across a line, the image is as far from the line on the other side as the original point is from the line. When the line of reflection is a vertical line, as here (x = 0 = y-axis), the y-coordinates are unchanged.
Points W and K are 2 units to the right of the y-axis. Their reflections will lie on the same horizontal line, but will be 2 units to the left of the y-axis.
Point D is 5 units to the right of the y-axis, so its reflection will be 5 units to the left.
__
Additional comment
The original triangle and its reflection are symmetrical about the line of reflection.
Your school’s track teams have been training hard for the entire season. There is a girls’ track team and a boys’ track team. The running times for each girl and boy were recorded after each race. You will use the results to help you answer questions about fractions and mixed numbers. Use what you know about adding and subtracting fractions and mixed numbers during the project.
Answers
Show that each figure is the given type of quadrilateral. Show that BCDE is a rectangle
Answers
Use Substitution to solve System of equations
y=-4x
6x-y=30
Answers
The solution for the given system of equations is
x = 3
y = -12
What are linear equations in two variables?
Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero.
Given two linear equations of two variables.
y = -4x .....eq 1
6x - y = 30 .....eq 2
We have to solve them using substitution.
Now,
by substituting eq 1 in eq 2,
6x -(-4x) = 30
6x + 4x = 30
10x = 30
x = 3
from eq 1,
y = -4x = -4*3 = -12
Therefore, x = 3 and y = -12
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Kinda been stuck on this one, someone pls let me know
Answers
Answer:
255
Step-by-step explanation:
use calculator
Answer:
255
Step-by-step explanation:
∑ᵢ₌₁⁸ 2ⁱ⁻¹
Using brute force method:
S = 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷
S = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128
S = 255
Using formula:
S = a₁ (1 − rⁿ) / (1 − r)
S = 1 (1 − 2⁸) / (1 − 2)
S = 255
help me I'm lost on this unit.
Answers
Answer:
f(5) = 90
Step-by-step explanation:
Substitute x = 5 into f(x) , that is
f(5) = 4(5)² - 5 - 5
= 4(25) - 10
= 100 - 10
= 90
Answer:
y= -41/8
Step-by-step explanation:
Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
Answers
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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which has a value closet to 9. 10,99,83,63
Answers
If I put 100 dollars in a money jar at the end of every month, for 10 years how much money will I have?
Answers
Answer:
$12,000
Step-by-step explanation:
100 x 12.
1200 x 10.
= 12000
Which of the following is not a unique advantage of the interquartile range as measure of variability?
a. The interquartile range is less influenced than the range by extreme scores.
b. The interquartile range can be utilized in open-ended distributions.
c. The interquartile range can be used for data measured with an ordinal scale of measurement.
d. The interquartile range can be used for data measured with a ratio scale of measurement.
Answers
The interquartile range can be used for data measured with a ratio scale of measurement is not a unique advantage of the interquartile range as measure of variability.
ABOUT INTERQUARTILE RANGEIn descriptive statistics, the interquartile range (IQR), is the difference between the 75th percentile (upper quartile) and the 25th percentile (lower quartile). In other words, the IQR is the third quartile minus the first quartile. The quartiles can be identified clearly through a line box diagram.
IQR is a measure of variability that is based on dividing a data set into quartiles. Quartiles divide an ordered data set into four equal parts. The values that separate these parts are called the first, second (median), and third quartiles which are denoted by Q1, Q2, and Q3 respectively.
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If sin theta < 0 and cot theta < 0, which quadrant(s)
could the terminal side of theta lie?
Answers
Answer:
Step-by-step explanation:
sinθ < 0 means below the x axis
cotθ = cosθ/sinθ < 0
As sinθ is already < 0 means cosθ has to be > 0 meaning right of the y axis.
Right of y and below x is the IV quadrant.
The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).
What is meant by Trigonometric Identities?Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.
here, we have,
Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.
Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.
we have,
sinθ < 0 means below the x axis
cotθ = cosθ/sinθ < 0
As sinθ is already < 0 means cosθ has to be > 0 meaning right of the y axis.
Right of y and below x is the IV quadrant.
Hence, The quadrant in which angle theta lie if sin theta < 0 and cot theta < 0 exists Quadrant IV (4).
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sum of two numbers is 50 three times the first number minus three times the second number is 30 whats the number
Answers
i do not know xd chargeeeeee
What is the perimeter, in feet, of the polygon 15 22 10 18 14?
Answers
Answer:
79 feet
Step-by-step explanation:
The perimeter is all the sides added together.
15+22+10+18+14 =
79 feet
please give thanks :)
if answer is incorrect, your question is not clear enough. this is the best answer I can provide.
Step-by-step explanation:
check the answer it is as same
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
Answers
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.On a 120-question test, a student got 96 correct answers. What percent of the
problems did the student work correctly?
Answers
Answer:
80%
Step-by-step explanation:
Percentages are usually found by taking the value that you want to find and dividing it by the whole amount (100% of the total value available). In this case, getting 100% on the test would mean getting 120/120, because 120 points is 100% of the points available. However, the student only got 96 points out of the whole 120 points, so to find the percentage, you do 96/120 to find what part of 96 comes out of 120. Then to convert to percentage, multiply that value by 100 to get your finale value.
Your backyard is 16 feet longer than it is wide. Its area is 4977 square feet. Its width is
Answers
Answer:
63 feet
Step-by-step explanation:
Let :
Width = xLength = x + 16Given
Area = 4977 square feetFormula for Area
Area = Length × WidthSolving
(x + 16)(x) = 4977x² + 16x = 4977x² + 16x - 4977 = 0(x - 63)(x + 79)x = 63 [because distance is always positive]The width is : 63 feet
Could i get help on this pla
Answers
Using the formula for the area of a rectangle, the area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x
Calculating the area of the cellphoneFrom the question, we are to calculate the area of the cellphone shown in the diagram
From the given information,
We have a diagram that shows a cellphone which is rectangular in shape.
Thus,
We will use the formula for finding the area of a rectangle to calculate the area of the cellphone.
Area of a rectangle = Length * Width
From the given information,
Length of the cellphone = 6x²y⁶
Width of the cellphone = 3x⁻³y²
Thus,
Area of the cellphone = 6x²y⁶ × 3x⁻³y²
Area of the cellphone = 6 × 3 × x² × x⁻³ × y⁶ × y²
Area of the cellphone = 18 × x⁻¹ × y⁸
Area of the cellphone = 18x⁻¹y⁸ OR 18y⁸/x
Hence,
The area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x
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Find 24% of 25. Plz I have been stuck on this question
Answers
!NO LINKS, NO FILES!
please :)
Answers
Answer:
it is 34 that's the answer.
Step-by-step explanation:
Answer:
120 feet squared.
Step-by-step explanation:
If this is incorrect I apologize but I believe this is the correct answer.
Solve the systems of equation by elimination.
x + 5y = -7
2x + 7y = -8
Answers
2(5y) - 7y = -6
1. The population of a town was 112 in 2014. The population doubles every year.
(a) Use the exponential growth model to write an equation that estimates the population t years after 2014.
(b) Estimate the population of the town in 2023.
Show your work.
Answer:
Answers
Answer: 2048
Step-by-step explanation: 1. Write the exponential growth model.
The population of the town doubles every year, so the growth factor is 2. The initial population is 112, so the equation is: P(t) = 112(2)^t where P(t) is the population in year t and t is the number of years since 2014.
2. Estimate the population of the town in 2023. To estimate the population of the town in 2023, we can set t=9, since 2023 is 9 years after 2014. Plugging this into the equation, we get: P(9) = 112(2)^9 = 2048
Therefore, the estimated population of the town in 2023 is 2048.
Can someone solve this Quadratic Equation using the formula (x=-b+and minus under the plus, then square root b^2-4ac divide in the bottom with 2a)
1. x^2=-5x+2
2.x^2+4x+17=8-2x
Answers
Step-by-step explanation:
We need to solve the given quadratic equations.
1.
\(x^2=-5x+2\\\\x^2+5x-2=0\)
Using the formula to find solutions.
We have, a = 1, b = 5 and c = -2
So,
\(x=\dfrac{-5\pm \sqrt{5^2-4(1)(-2)} }{2}\\\\x=0.37,-5.37\)
2.
\(x^2+4x+17=8-2x\\\\x^2+4x+17-8+2x=0\\\\x^2+6x+9=0\)
We have,
a = 1, b = 6 and c = 9
\(x=\dfrac{-6\pm \sqrt{6^2-4(1)(9)} }{2}\\\\x=-3,-3\)
Hence, this is the required solution.
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Answers
B) The angle between vectors v and w can be found using the formula: cos(theta) = (v • w) / (||v|| ||w||), where ||v|| and ||w|| are the magnitudes of vectors v and w respectively.
First, we need to find ||v|| and ||w||:
||v|| = sqrt((-3)^2 + (-4)^2) = 5
||w|| = sqrt((6)^2 + (8)^2) = 10
Now, we can substitute in the values to get:
cos(theta) = (-50) / (5 * 10) = -1
theta = arccos(-1) = pi radians or 180 degrees.
Therefore, the angle between vectors v and w is 180 degrees.
C) Two vectors are parallel if their directions are the same, which can be determined by comparing their unit vectors.
The unit vector of v is:
v_hat = v / ||v|| = (-3/5)i + (-4/5)j
The unit vector of w is:
w_hat = w / ||w|| = (6/10)i + (8/10)j = (3/5)i + (4/5)j
We can see that the unit vectors are in opposite directions, which means that the vectors are anti-parallel or opposite. Therefore, the vectors v and w are neither parallel nor orthogonal.
Question 1
1.1.
How many months will it take for an investment of R7 500 to grow into
R10 317,50 in an account that earns compound interest of 8% p.a.
compounded monthly?
(4)
Answers
Answer:
heyhshjsnxisjskoswksk dkdkdjxufjf
Simplify the expression. √686x¹y7 OA. 7xy √2xy OB. 7zy 2xy Oc 7xy √xy² OD. 7x²y √2xy?
Answers
The correct simplified answer is \(49\sqrt{2xy}\)
According to the question, the expression can be simplified as:
Given expression: \(\sqrt{686 xy7 } = \sqrt{7 X 7 X 7 X 2 X7xy}= 49\sqrt{2xy}\)
Hence, the correct answer is \(49\sqrt{2xy}\)
What is simplification?
The word simplification makes the complicated expression into simpler expression. Simplification method uses basic mathematics properties for the complicated expression. After simplification, the calculation become easy.
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Explain your answer to the question in the picture with steps please, thank you.
Answers
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
Kenneth is creating a chart to compare and contrast the different transformations of objects. He wants to show similarities and differences between translations, rotations, and reflections. In his chart, four statements are given. Which statements are true for a translation? Group of answer choices The distances between points on the polygon are preserved by the transformation. The orientation of points on the polygon is preserved by the transformation. The distance between corresponding points in the image and pre-image is constant. The angle measures between sides on the polygon are preserved by the transformation.
Answers
The statements that are true for a translation are:
The distances between points on the polygon are preserved by the transformation.
The distance between corresponding points in the image and pre-image is constant.
These statements are true for a translation because when an object is translated, it is shifted a certain distance in a certain direction. This means that the distances between points on the polygon remain the same and the distance between the corresponding points in the image and pre-image is constant.
Translation is the process of converting written, spoken, or visual information from one language into another. It is a complex process involving both linguistic knowledge and cultural understanding. Professional translators use a range of techniques to accurately convey the meaning of a text, including knowledge of grammar, syntax, and idiomatic expressions. Translators also take into account the cultural context of the text, ensuring that the translation reflects the same cultural references and nuances as the original. Translation can also refer to the conversion of DNA sequences from one form to another, such as from RNA to protein.
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You are planning a road trip. Total miles traveled are 1,128.3 miles. My car gets 40 miles per gallon and gas is $3.89 per gallon. how much will my gas cost?
Answers
Answer: the cost of gas for traveling 1,128.3 miles is $109.73
Step-by-step explanation:
Given:
cost per gallon of gas is $3.89
total miles traveled is 1128.3 miles
the car can travel 40 miles per gallon
gas is required to travel 1128.3 miles= total miles traveled / miles traveled
per gallon
=1128.3/40 gallon
= 28.2075-gallons
we know that the cost per gallon of gas is $3.89
from this, we can find the cost for 28.2075-gallon
the cost for 28.2075 gallons = 28.2075*cost per gallon
= 28.2075*3.89
= $109.727175
~= $109.73
therefore it takes approximately 109.73 dollars to travel 1,128.3 miles
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