The question is incomplete. The complete question is :
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 24 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
a. Which form of the null and alternative hypotheses most appropriate for this situation.
[tex]$H_0$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
[tex]$H_a$[/tex]: is (greater than or equal to 24/greater than 24/less than or equal to 24/less than 24/equal to 24/not equal to 24)
Solution :
It is given that the current mean sales volume in one month is 24 automobiles. The automobile dealership manager wants to conducts research study to check the increase in the sales volume due to the launch of a new bonus plan. So to collect the data on plan, sample of the sales personnel is allowed to sell for one month period only according to the new bonus plan.
Therefore the null hypothesis and the alternate hypothesis that most appropriates the situation is :
[tex]$H_0 \leq 24$[/tex][tex]$H_a > 24$[/tex]Simplify the following set expressions.
(-2,4]∪[0,9]
Answer: (-2,4) x (0,9)=36 simplified
y= 5/2x + 9 is the slope
Step-by-step explanation:
.
Write an
explicit formula for an, the nth term of the sequence 8, 40, 200, ....
Answer:
1,000
Step-by-step explanation:
Formula: An=8/5x5(4)
Select ALL the true statements.
Responses
−1−−−√
is an imaginary number.
square root of negative 1 is an imaginary number.
There are no real numbers that satisfy the equation x=−1−−−√
.
There are no real numbers that satisfy the equation x is equal to square root of negative 1.
Because −1−−−√
is imaginary, no one does math with it.
Because square root of negative 1 is imaginary, no one does math with it.
The equation x2=−1
has real solutions.
The equation x squared is equal to negative 1 has real solutions.
−1−−−√=−1
because −1⋅ −1 = −1
square root of negative 1 is equal to negative 1 because −1⋅ −1 = −1
The true statements are:
√(-1) is an imaginary number.
There are no real numbers that satisfy the equation x = √-1.
What is Imaginary Number?A number that produces a negative square root is referred to as an imaginary number. An imaginary number, which has no real-world equivalent, is essentially the square root of a negative number.
Given:
We know that the value of √(-1) is i (iota) which is imaginary number.
So, √(-1) is an imaginary number.
Now, Negative numbers don't have real square roots since a square is either positive or 0.
So, x = √-1 have no real solution.
Now, x² = -1 again have no real solution because
x = √-1 and , Negative numbers don't have real square roots.
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please help need help asap pls!
On solving the provided question, we can say that by the property of the triangle, if a line made from 2 mid points of a triangle the length of line of 2 mid points = 2 times the base ; AB = 80m
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
by the property of the triangle, if a line made from 2 mid points of a triangle the length of line of 2 mid points = 2 times the base
so DC = 2*AB
AB = 80m
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If the mean of this data is 95, find the missing data. 103, 99, 90, 86, 105, 96, ___
Answer: The missing value is 86
Step-by-step explanation: The mean of a data set is the same as the average. The formula for mean is the sum of the data values/(the number of data values). Right now there are only 6 data values and we are looking for a seventh. If we sum the 6 current values and divide by 6, we get a data set with a mean of 96.5. We need a lower mean. The data set we need has 7 points so the sum of all 7 points should be 7(95) since if we divide 7(95) by the number of points which is 7, we get 95 which is the mean we want. 7(95) is 665. We can subtract the sum of the current 6 points from 665 to find the value we want.
You could take a 15-week, three credit college course, which requires 10 hours per week of your time for $740 per credit hour in tuition. Or during those hours you could have a job paying $10 per hour. What is the net cost of the class compared to working? Based on your answer and the fact that the average college graduate earns nearly $28,000 per year more than a high school graduate, write a few sentences giving your opinion as to whether the college course is a worthwhile experience.
The cost of the class would be $740 x 3 = $2220. If you were to work instead, at $10 per hour for 10 hours per week for 15 weeks, you would earn $1500. So, the net cost of the class would be $2220 - $1500 = $720.
In general, a college degree can lead to higher earning potential and greater career opportunities, so in most cases, it can be considered a worthwhile investment. However, the decision to take a particular class should be based on individual circumstances and goals. If the class is relevant to your future career aspirations and you can afford the cost, it may be a good investment. However, if the class is not directly related to your career goals, or you are not able to afford the cost, it may not be worth it.
A farmhouse shelters 23 animals. Some are goats and some are ducks. Altogether there are 58 legs. How many of each animal are there?
There are 6 goats and 17 ducks present in the farmhouse
How to calculate the number of goats and ducks ?Let x represent the number of goats
Let y represent the number of ducks
x + y= 23....equation1
Goats have 4 legs and ducks have 2 legs
4x + 2y= 58.......equation 2
From equation 1
x + y= 23
x= 23-y
Substitute 23-y for x in equation 2
4(23-y) + 2y = 58
92- 4y + 2y= 58
92-2y= 58
-2y= 58-92
-2y= -34
y- 34/2
y= 17
Substitute 17 for y in equation 1
x + y= 23
x + 17= 23
x= 23-17
x= 6
Hence there are 6 goats and 17 ducks in the farmhouse shelter
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Simplify the expression below. If your answer is not a whole number, enter it
as a fraction in lowest terms, using the slash mark (/) as the fraction bar.
5/6 divided by 7/18
Answer:
2.14 rounded ............
x-y=5
find y
write out the steps
Answer:
y is x - 5.
Step-by-step explanation:
x - y = 5
x = y + 5
we can isolate y by subtracting 5 from both sides of the equation:
x = y + 5
x - 5 = y
Therefore, the solution for y is x - 5.
find the common ratio of the geometric sequence. 14, 7, 7/2, 7/4
The common ratio for the sequence is 1/2.
What is Geometric Sequence?Sets of numbers that adhere to a pattern or norm are known as number sequences. A geometric sequence is one where the rule is to multiply or divide by the same number each time.
Formula : [tex]a_n[/tex] = a[tex]r^{n-1[/tex]
where a is the first term, r is the common ratio.
Given:
Sequence: 14, 7, 7/2, 7/4
To calculate the common ratio = [tex]a_1/ a_2[/tex]
Now, the common ratio
= 7/14
= 1/2
Hence, the common ratio is 1/2.
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Function A gives you the area in square inches of a square with side length X inches 
The answers to each part is mentioned below..
What is the area of a square?The area of a square is -
Area = Side x Side
A = S²
Given is that the function {A} gives you the area in square inches of a square with side length {X} inches
We can complete the table as -
[x] : 0 1 2 3 4 5 6
A[x] : (0)² (1)² (2)² (3)² (4)² (5)² (6)²
A[x] : 0 1 4 9 16 25 36
We can Represent the function A using the equation as -
A(x) = x²
The graph of the function is attached.
Therefore, the answers to each part is mentioned above.
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which is larger
8/k^2+2 and k^2+2
Answer:
Step-by-step explanation:
d e e z n u t z
What is the equation of a line with a slope of 3 and a point (3, 1) on the line?
Express the equation in the form of y-ma+bwhere m is the slope and b is the y-intercept
Enter your answer in the box
Answer: y = 3x - 8
Step-by-step explanation: Given slope m = 3, and point x = 3, y = 1
y -1 = 3(x-3)
y = 3x - 9 + 1
y = 3x - 8
What is the quotient when 2 x 2 + 4 x – 14 is divided by 2 x
The quotient when 2x² + 4x – 14 is divided by 2x is [tex]x + 2 - \frac{7}{x}[/tex] .
What is Quotient in Division?When two numbers are divided by each other, the result is known as a quotient. For instance, when we divide 8 by 2, the result will be 2, where 2 is the quotient.
As we know division is a mathematical operation that involves dividing items into equal groups. It is represented by the symbol (÷). When we divide a number, the result we ultimately get is the quotient.
Here we have
2x² + 4x – 14 is divided by 2x
=> [tex](2x^{2} + 4x - 14) \div {2x}[/tex]
=> [tex]\frac{(2x^{2} + 4x -14)}{2x}[/tex]
Take 2x as common
=> [tex]\frac{2x(x + 2 - \frac{7}{x} )}{2x}[/tex]
=> [tex]x + 2 - \frac{7}{x}[/tex]
Therefore,
The quotient when 2x² + 4x – 14 is divided by 2x is [tex]x + 2 - \frac{7}{x}[/tex] .
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I need help with this please hurry asap due right now in 10 minutes!!! p.s x is not multiplying.
Answer:
31.80
Step-by-step explanation:
20.53
× 1.55=
31.82
-.02
32.80
Which graph represents the function on the interval [−3,3]?
f(x)=⌊x⌋−3
The function f(x)=⌊x⌋−3 in interval [−3,3] is represented by following graph:
The correct option is D.
What is floor function?The floor function floor(x) is defined as the function that gives the highest integer less than or equal to x.
Given function
f(x)=⌊x⌋−3 in interval [−3,3]
Above function is floor function.
x = 3f(x) = ⌊x⌋−3
f(3) = 3 - 3
f(3) = 0
x = 2f(2) = 2 - 3
f(2) = -1
x = 1f(1) = 1 - 3
f(1) = -2
x = 0f(0) = 0 - 3
f(0) = -3
x = -1f(-1) = -1 -3
f(-1) = -4
x = -2f(-2) = -2 -3
f(-2) = -5
x = -3f(-3) = -3 -3
f(-3) = -6
Plotting above points the graph we get is as follows:
Hence, Graph that represents the function f(x)=⌊x⌋−3 in interval [−3,3] is below.
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Select the correct answer . Which property of equality was used to solve this equation ? - 5x = 4; (- 5x)/- 5 = 4/- 5; x = - 4/5
The property of equality that was used to solve the equation is the division property of equality
Determining the property of equalityFrom the question, we are to determine the property of equality that was used to solve the given equation
From the given information,
The equation is
-5x = 4
and
The solution is
(- 5x)/- 5 = 4/- 5
x = - 4/5
From the solution step, we can observe that both sides of the equation were divided by -5.
Thus,
The property of equality that was used is the division property of equality
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I need help 783.1 x 1.03
Answer: 806.59300
Step-by-step explanation:
5 - 3 * 2 + 8 * 5 - 2
MODELING REAL LIFE A rhino with mass m (in kilograms) has an average heart rate of approximately 241m 0.25 beats
per minute and a lifespan of approximately (6 x 106)m0.2 minutes. Write an expression using an exponent that represents
the average number of lifetime heartbeats for a rhino with a mass of 2310 kilograms.
Expression:____
On solving the provided question, we can say that expression is as follows r(m) . s(m) = [tex]241.^{-0.25} ]( 6 * 10^6) m^{ 0.2 }][/tex] = [tex]1.4446 X 10^9 m^{0.05}[/tex]
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
expression is as follows
r(m) . s(m) = [tex]241.^{-0.25} ]( 6 * 10^6) m^{ 0.2 }][/tex] = [tex]1.4446 X 10^9 m^{0.05}[/tex]
the average number of lifetime heartbeats for a rhino with a mass of 2310 kilograms is [tex]1.7 X 10^8 KG[/tex]
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PLEASE HURRY I WILL GIVE BRAINLT The function f(x) represents the number of texts sent this week, and g(x) represents the number of texts sent last week. Given f(x) = 8x + 14 and g(x) = 5x − 2, find (f − g)(x) to find how many more texts were sent this week than last week.
(f − g)(x) = 3x + 12
(f − g)(x) = 3x + 16
(f − g)(x) = 13x + 12
(f − g)(x) = 13x + 16
The function that represents how many more texts that were sent this week than last week is: B. (f − g)(x) = 3x + 16.
How to Evaluate Functions?To find the value of a given functional expression, we have to apply the basic knowledge of how to solve algebraic expressions.
For example, if we are given that (f - g)(x), it means we are to subtract the function g(x) from f(x). That is (f - g)(x) = f(x) - g(x).
Given the following functions:
Number of texts sent this week is represented as the function, f(x) = 8x + 14
Number of texts sent last week is represented as the function, g(x) = 5x - 2.
Number of texts that were sent this week than last week = (f - g)(x)
(f - g)(x) = (8x + 14) - (5x - 2)
(f - g)(x) = 8x + 14 - 5x + 2
(f - g)(x) = 3x + 16
Therefore, the answer is: (f − g)(x) = 3x + 16.
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Therefore, the answer is: (f − g)(x) = 3x + 16.
What is the length of the unknown
leg of the right triangle?
5 ft
6 ft
(The figure is not drawn
to scale.)
The length of the unknown leg of the right triangle is
(Round to one decimal place as needed.)
ft.
Answer:
a = 3.31ft.
Step-by-step explanation:
Pythagorean TheoremThe Pythagorean Theorem explains the connection between a right triangle's three sides. The area of the square produced on the hypotenuse of any right triangle is equal to the sum of the areas of the squares formed on its legs: a2 + b2 = c2.a, is the shortest leg of the triangle or the opposite.b, is the adjacent leg of the triangle. This leg typically forms the right angle of the triangle.c, is the hypotenuse. This is the longest leg of the triangle.Applying the theorem[tex]a^{2} + b^{2} = c^{2}[/tex][tex]a^{2} +5^{2} = 6^{2}[/tex][tex]a^{2} = 6^{2} - 5^{2}[/tex][tex]a^{2} = 36-25[/tex][tex]\sqrt{a^{2} } = \sqrt{11}[/tex][tex]a = 3.31 feet[/tex]The opposite is 3.31 feet.
Please let me know if this helped!!!
Use the image below to solve
Please HELP
The value of x is given as follows:
x = 18.
What are similar triangles?Similar triangles are triangles that share these following two features:
Congruent angle measures.Proportional side lengths.The similar triangles for this problem are listed as follows:
ABD and EDC.
The proportional side lengths are given as follows:
x and 6.12 and 4.Hence the value of x is obtained as follows:
x/6 = 12/4
x/6 = 3.
x = 18.
(using the proportional relationship for the equivalent side lengths of the similar triangles).
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A savings account is opened with an initial deposit of $425.00. Determine the account balance after 9 years if the account earns 2.7% simple interest annually.
$3,928.28
$1,457.75
$528.28
$103.28
For a savings account with an initial deposit of $425.00, the account balance after 9 years if the account earns 2.7% simple interest annually is
$528.28How to find the account balance after 9 yearsThe account balance is solved by adding the initial deposit to the simple interest.
The simple interest is solved using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = $425.00
rate= 2.7%
time = 9 years
plugging in the values
Simple interest = Principal * time * rate / 100
Simple interest = 425 * 9 * 2.7 / 100
Simple interest = 10327.5 / 100
Simple interest = 103.275
The account balance
= initial deposit + simple interest
= 103.275 + 425
= $528.28
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5
In August, Peter rakes 5 lawns. He earns $8 for each lawn he rakes.
In September, Peter earns $10 raking lawns.
The equation shown can be used to find m, the total amount of money Peter earns raking lawns in August and September.
5 x 8 + 10 = m
What is the total amount of money Peter earns raking lawns in August and September?
OA. 55
B. 58
OC. 50
D. 23
Reset
Next
Therefore , algebraic solution is 55 is the total amount of money Peter earns raking lawns in August and September
What is the total amount of money Peter earns raking lawns in August and September?The total amount of money Peter earns from raking lawns in August and September can be found by solving the equation 5 x 8 + 10 = m, where m represents the total money earned.
Here,
In this equation, 5 represents the number of lawns Peter raked in August, 8 represents the amount he earns for each lawn, and 10 represents the amount he earned from raking lawns in September.
When this equation is solved, the result is m = 55, meaning that Peter earned a total of $55 from raking lawns in August and September.
This can be seen by multiplying 5 times 8, which is 40, and then adding 10, which brings the total to 55.
Therefore, the total amount of money Peter earns from raking lawns in August and September is $55.
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Examine the triangle below, solve for x and y, rounded to two decimal places.
X=
y=
X
30°
y
16
[tex]30 + 60[/tex]
I am pretty sure I'm wrong
[tex]30 \div 60[/tex]
[tex]30 \times 60[/tex]
[tex]30 - 60[/tex]
Find the differential of each function. (a) y - x^2 sin 8x
The differential of the function y - x² sin 8x with respect to x is dy/dx - 2x sin 8x + 8x² cos 8x
To find the differential of the function y = x² sin 8x, we can use the standard notation dy/dx which represents the rate of change of y with respect to x.
To calculate dy/dx, we need to use the product rule, which states that the derivative of the product of two functions is the derivative of the first function times the second function plus the first function times the derivative of the second function.
Let z be the given function,
z= y - x² sin 8x
The derivative of x² is 2x
The derivative of sin 8x is 8 cos 8x
So,
dz/dx= dy/dx - (2x)(sin 8x) + (x²)(8cos 8x)
= dy/dx- 2x sin 8x + 8x² cos 8x
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Jan is looking for similar figures.
Which choice is similar to the figure shown?
Answer: Number 3 ( the one with the numbers added that are 4,13)
Step-by-step explanation:
If the length of the hypotenuse of the right triangle is 5 units, and the area of p is 9 square units, then what is the area of R?
Answer:
So, Hypotenuse = unit
Step-by-step explanation:
Help the picture has everything you need to know 20 points
Answer:
Triangle VWX and triangle IGH are congruent
Step-by-step explanation: