Complete Question
A newsletter publisher believes that above 41% of their readers own a personal computer. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim?
State the null and alternative hypotheses for the above scenario.
Answer:
The null hypothesis is [tex]H_o : p \le 0.41[/tex]
The alternative hypothesis [tex]H_1 : p> 0.41[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.41[/tex]
The level of significance is [tex]\alpha = 0.10[/tex]
The null hypothesis is [tex]H_o : p \le 0.41[/tex]
The alternative hypothesis [tex]H_1 : p> 0.41[/tex]
anyone know this one
Answer:
Only B
Step-by-step explanation:
Did this in Khan Academy.
=> Also, there are 2 '-' symbols in the question.
In Option A, there is only 1 "-' symbol.
In Option B, there are 2 '-' symbols.
Option C says none of the above.
Since, Option B has 2 '-' symbols, it is the correct.
which of these limits evaluate to 0?
===============================================
Work Shown:
Part I
[tex]\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{2-2}{2+2}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = \frac{0}{4}\\\\\\\displaystyle \lim_{x \to 2}\frac{x-2}{x+2} = 0\\\\\\[/tex]
----------
Part II
[tex]\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{\sin(0)}{0+2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = \frac{0}{2}\\\\\\\displaystyle \lim_{x \to 0}\frac{\sin(x)}{x+2} = 0\\\\\\[/tex]
----------
Part III
[tex]\displaystyle \lim_{x \to 5}\frac{x}{x} = \lim_{x \to 5}1\\\\\\\displaystyle \lim_{x \to 5}\frac{x}{x} = 1\\\\\\[/tex]
I don’t get this at all :(
Answer/Step-by-step explanation:
We are told that:
Area of the given square = 1 square units
2 of the small triangles will make up the square when joined together.
Since area of the square is 1 square units, area of the 2 small triangles = 1 square units.
We are also told that 2 of the small triangle will also make up the medium triangle when joined together.
Therefore, since area of 2 small triangles = area of the square = 1 square units, the medium triangle would also have an area of 1 square units.
1. Area of the small triangle is ½ square units. I know this because 2 small triangles = area of the square = 1 square units.
2. The area of the medium triangle is 1 square units. I know this because 2 small triangles make up the medium triangle, and 1 small triangle has an area of ½ square units.
3. The area of the large triangle is 2 square units. I know this because if the medium triangle is made up of 2 small triangles, then 4 small triangles will make up the big triangle, or 2 medium triangle will make up the big triangle.
Find the output, y, when the input, x, is 30. y = 14 - 0.5x y = _________
Answer:
[tex]\Huge \boxed{y=-1}[/tex]
[tex]\rule[250]{250}{3}[/tex]
Step-by-step explanation:
[tex]y=14-0.5x[/tex]
The input x is 30. Switching x with 30.
[tex]y=14-0.5(30)[/tex]
Solving for y.
[tex]y=14-15[/tex]
[tex]y=-1[/tex]
[tex]\rule[250]{250}{3}[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = - 1}}}}}[/tex]
Step-by-step explanation:
Given, Value of x is 30
To find : Value of y
[tex] \sf{y = 14 - 0.5x}[/tex]
Plug the value of x
⇒[tex] \sf{y = 14 - 0.5 \times 30}[/tex]
Multiply the numbers : 0.5 and 30
⇒[tex] \sf{y = 14 - 15}[/tex]
Subtract 15 from 14
⇒[tex] \sf{y = - 1}[/tex]
Hope I helped!
Best regards!!
Find the next 3 terms A,K,Q,J,10
Answer:
9, 8, 7
Step-by-step explanation:
This is the rank of the cards from highest to lowest and the terms are:
A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2So the next 3 terms are 9, 8, 7
Mark of the student in a certain test is as follows 3, 1, 3, 1, 1, 2, 3, 2, 3, 5, 3, 4, 5, 3, 1, 4, 1, 5, 2, 5 . what is the mean to 1 s.f.?
Answer:
2.85
Step-by-step explanation:
count the numbers given to you , which is 20then sum up the numbers , which is 57then divide the two answerswhich is 57/20=2.85The areas of two similar octagons are 9 m² and 25 m². What is the scale factor of their side lengths? PLZ HELP PLZ PLZ PLZ
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
Let the side length for the octagon having 9m² as area = x
Side length for the octagon having area of 25m² = y.
Thus:
[tex] \frac{9}{25} = (\frac{x}{y})^2 [/tex] (area of similar polygons theorem)
The scale factor of their sides would be [tex] \frac{x}{y} [/tex]. Which is:
[tex] \sqrt{\frac{9}{25}} = \frac{x}{y} [/tex]
[tex] \frac{\sqrt{9}}{\sqrt{25}} = \frac{x}{y} [/tex]
[tex] \frac{3}{5} = \frac{x}{y} [/tex]
Scale factor of their sides = [tex] \frac{3}{5} [/tex]
Answer:
3:5
Step-by-step explanation:
Find the value of ab when a=4/7 and b= 4/11
Answer: 16/77
Step-by-step explanation: Here we're asked to evaluate ab
given that a = 4/7 and b = 4/11.
So we start by plugging in our given
values for a and b into the problem.
If we do this, ab would then be (4/7)(4/11).
When multiplying two fractions together, we multiply across
the numerator and we also multiply across the denominators.
So (4/7)(4/11) is 16/77 which is our final answer.
Answer:
16/77
Step-by-step explanation:
When two numbers are close togtether, you want to multiply them. Since it is ab, you multiply a and b.
a= 4/7
b= 4/11
so, 4/7 times 4/11
When you multiply fractions, you multiply the numerators (the top number of a fraction) of the fractions together. You also multiply the denominators(the bottom number) of the fractions together.
So, let's multiply the numerators first.
4 times 4 equals 16, so that is the new numerator
7 times 11 is 77, so that is the new denominator
Let's combine it into a fraction. Numerator/denominator= 16/77
Sometimes, you will need to reduce. Reducing meaning that you divide the fraction by a number so it can't be reduced/divided anymore. Until a fraction is at it's simplest form.
Example: 2/4 reduces to 1/2 because both the numerator, 2, and the denominator, 4, can be reduced by 2. As you can see, 1/2 is at it's simplest form and cannot be reduced any further.
Given the equation: 2x – 4 = 7, which property should be applied first?
Answer:
Step-by-step explanation:
That depends upon what your goal is. State your goal specifically.
If the instructions say to "solve the following equation for x," then your first move should be to add 4 to both sides. Associative property
Solve it! Hurry
Will mark as brainliest
IF U TRY TO get the points free i would report u
Answer:
A. 3x^2+7x^2+2×3x ×7-84x = 3x^2+7x^2-2×3x×7
9x^2+49x^2+42x-84 x= 9x^2+49x^2-42x
9x^2+49x^2-42 = 9x^2+49 x^2-42x
verified
B.
Answer:
Give him or her brainlist
Step-by-step explanation:
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Here is a sample distribution of hourly earnings in Paul's Cookie Factory: Hourly Earning $6 up to $9 $9 up to $12 $12 up to $15 Frequency 16 42 10 The limits of the class with the smallest frequency are: ______.
Answer:
$12 up to $15
Step-by-step explanation:
Given
Hourly Earning: $6 - $9 || $9 - $12 || $12 - $15
Frequency: 16 || 4 || 10
Required
Determine the limits of the least frequency;
First, we have to determine the lowest frequency;
From the table. the lowest frequency is:
[tex]Lowest = 10[/tex]
Next is to determine the corresponding class limits
The corresponding class limit is $12 up to $15
A lamina occupies the disk x squared space plus space y squared space less or equal than 4. Find the mass, if the density at any point is proportional to its distance from the origin, where the proportionality constant is 3.
Answer: Mass of Lamina is (K/3)
Centre of mass is (3/8, 3pi/16)
Step-by-step explanation:
Find explanation in the attachments
Use Lagrange multipliers to find three positive numbers whose sum is 210 and whose product is maximum. (Enter your answers as a comma-separated list.)
Answer: the three positive numbers are; 70, 70, 70
Step-by-step explanation:
Given that sum is equal = 210
Lets ( x, y, z ) be the three positive numbers
such that
x + y + z = 210
what is the maximum of xyz
take f(x,y,z) = xyz
Q(x,y,z) = 0
x + y + z -210 = 0
consider the function
F(x,y,z) = f(x,y,z) + λQ(x,y,z)
F = xyz + λ(x+y+z-210)
dF/dx = 0 ⇒ yz + λ(1) = 0 ⇒ λ = -yz ..............equ(1)
dF/dy = 0 ⇒ xz + λ(1) = 0 ⇒ λ = -xz.................equ(2)
dF/dz = 0 ⇒ xy + λ(1) = 0 ⇒ λ = -xy...............equ(3)
Now
equ(1)/equ(2) ⇒ λ/λ = -yz/-xz ⇒ x = +y
equ(1)/equ(3) ⇒ λ/λ = - yz/-xy ⇒ x = +z
⇒ y = z = x
by substitution
x + y + z = 210
x + x + x = 210
3x = 210
x = 210/3 = 70
∴ x, y, z = 70, 70 ,70
MAXIMUM
∛xyz = 70 { when x = y = z = 70}
Assume that the heights of bookcases are normally distributed. A random sample of 16 bookcases in one company have a mean height of 67.5 inches and a standard deviation of 2.1 inches. Construct a 99% confidence interval for the population standard deviation, σ.
Answer:
The Confidence Interval = (66.1476, 68.8524)
Step-by-step explanation:
The formula for confidence interval of a normal distribution is given as:
Confidence Interval = μ ± z × σ/√n
Where:
μ is the mean height = 67.5
σ is the standard deviation = 2.1 inches
n is the number of samples = 16 bookcases
z = 99% confidence interval = 2.576
Confidence Interval = 67.5 ± 2.576 ×2.1√16
= 67.5 ± 2.576 × 2.1/4
Confidence Interval = 67.5 ± 1.3524
67.5 - 1.3524 = 68.8524
67.5 + 1.3524 = 66.1476
Therefore, the Confidence Interval = (66.1476, 68.8524)
Select the correct answer.
You reflect triangle PQR with vertices P(-2,-4). Q(-3,-1), and R(-4,-4), across the y-axis to get triangle P'Q'R'. What are the coordinates of triangle
P'Q'R?
Answer:
P' (2, -4)
Q' (3, -1)
R' (4, -4)
Step-by-step explanation:
Reflection in the y axis
(x, y) → (-x, y)
P(⁻²₋₄ ) → P'(²₋₄ ) ∴ P'(2, -4)
Q(⁻³₋₁ ) → Q'(³₋₁ ) ∴ Q'(3, -1)
R(⁻⁴₋₄ ) → R'(⁴₋₄ ) ∴ R'(4, -4)
Which of the following can be written as a fraction of integers? CHECK ALL THAT APPLY.
2.5
square root of 14
-1.25
5.33333...
square root of 16
null
0.6
Answer:
[tex]2.5[/tex] [tex]-1.25[/tex] [tex]\sqrt{16}[/tex] [tex]0.6[/tex]
Step-by-step explanation:
Required
Which of the given parameters can be represented as fraction of integers
Taking them one at a time;
1. 2.5
This can be rewritten as
[tex]2.5 = \frac{2.5}{1}[/tex]
Multiply numerator and denominator by 2
[tex]2.5 = \frac{2.5 * 2}{1 * 2}[/tex]
[tex]2.5 = \frac{5}{2}[/tex]
Hence, 2.5 can be represented as fraction of integers
2. √14
This can be rewritten as
[tex]\sqrt{14} = 3.74165738677...[/tex]
The ... implies that the decimal continues and this cannot be represented as a fraction
3. -1.25
This can be rewritten as
[tex]-1.25 = \frac{-1.25}{1}[/tex]
Multiply numerator and denominator by 4
[tex]-1.25 = \frac{-1.25 * 4}{1 * 4}[/tex]
[tex]-1.25 = \frac{-5}{4}[/tex]
Hence, -1.25 can be represented as fraction of integers
4. 5.33333.....
The ... implies that the decimal continues and this cannot be represented as a fraction
5. √16
[tex]\sqrt{16} = \±4[/tex]
This can be rewritten as
[tex]\sqrt{16} = \±\frac{4}{1}[/tex]
Multiply numerator and denominator by 2
[tex]\sqrt{16} = \±\frac{4 * 2}{1 * 2}[/tex]
[tex]\sqrt{16} = \±\frac{8}{2}[/tex]
Hence, √16 can be represented as fraction of integers
6. 0.6
This can be rewritten as
[tex]0.6 = \frac{0.6}{1}[/tex]
Multiply numerator and denominator by 10
[tex]0.6 = \frac{0.6 * 10}{1 * 10}[/tex]
[tex]0.6 = \frac{6}{10}[/tex]
Hence, 0.6 can be represented as fraction of integers
4. The Vetrone family members are all Cincinnati Reds baseball fans. They went
to five games last season. The cost of each game, including parking, tickets,
and food, is listed below.
$266, $201, $197, $188, $162
Round your answers to the nearest cent.
a. What is the mean cost per game attended?
b. What is the range?
c. What is the variance?
d. What is the standard deviation?
e. If all five members of the Vetrone family went to each
game,
what was the
mean cost per person to attend each game?
Answer:
A) Mean cost per game= $202.8
B). Range= $104
C). Variance= 1182.96
D).Standard deviation=34.39
E). $1014 per person
Step-by-step explanation:
The data of the cost
= $266, $201, $197, $188, $162
A). Mean cost per game
Mean = (266+201+197+188+162)/5
Mean = 1014/5
Mean = 202.8
Mean cost per game= $202.8
B) range = highest value- Lowest value
Range= 266-162
Range= $104
C) variance= ((266-202.8)²+(201-202.8)²+(197-202.8)²+(188-202.8)²+(162-202.8)²)/5
Variance=(3994.24+3.24+33.64+219.04+1664.64)/5
Variance= 5194.8/5
Variance= 1182.96
D). Standard deviation= √variance
Standard deviation= √1182.96
Standard deviation=34.39
E).Mean cost per person
= Mean *5
= 202.8 *5
= $1014 per person
Which expression is equivalent to the one below?
Answer:
D . 9 .1/13
Step-by-step explanation:
[tex]9\div 13 = \frac{9}{13} \\\\9\cdot \frac{1}{13}\\\\=\frac{9}{1}\cdot \frac{1}{13}\\\\=\frac{9\cdot \:1}{1\cdot \:13}\\\\=\frac{9}{13}[/tex]
Compute the sum of the positive divisors of 448.
The sum of the positive divisors of 448 will be 1,016.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The number 448 can be divided by 14 positive divisors (12 are even, and 2 are odd). The sum of these divisors is 1,016, the average is 72.,571.
Therefore, the sum of the positive divisors of 448 will be 1,016.
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exploring the graph of y equals cosine Theta
Answer: see below
Step-by-step explanation:
The coordinates on the Unit Circle are (cos, sin). Since we are focused on cosine, we only need to focus on the left side of the coordinate. The cosine value (left side) will be the y-value of the function y = cos x
Use the quadrangles (angles on the axes) to represent the x-values of the function y = cos x.
Quadrangles are: 0°, 90°, 180°, 270°, 360° (360° = 0°)
Together, the coordinates will be as follow:
[tex]\boxed{\begin{array}{c||c|c||c}\underline{(cos,sin)}&\underline{x=angle}&\underline{y=cosx}&\underline{\quad (x,y)\quad}\\(1,0)&0^o&1&(0^o,1)\\(0,1)&90^o&0&(90^o,0)\\(-1,0)&180^o&-1&(180^o,-1)\\(0,-1)&270^o&0&(270^o,0)\\(1,0)&360^o&1&(360^o,1)\end{array}}[/tex]
which statement is true about the graphed function?
Greetings from Brasil....
Remember that F(X) = Y
Looking at the graph we can conclude that:
Y > 0 when X < - 4 (up until -∞)
Y = 0 when X = - 4
Y < 0 when X > - 4 (up until +∞)
So choose:
[F(X) = Y] > 0 over the interval ]-∞; -4[
(last option)
What is the diameter of the circle the area of the circle is 144 square root m2
Answer: 24 m
Step-by-step explanation:
Given: area of the circle is 144 π m² .
Area of a circle = [tex]\pi r^2[/tex], where r= radius of the circle.
Then, [tex]144\pi = \pi r^2[/tex]
Cancelling π from both sides , we get
[tex]144 = r^2[/tex]
Taking square root on both sides , we get'
[tex]12= r[/tex]
i.e. radius = 12 m
Then diameter = 2 (radius ) = 2 (12)= 24 m
Hence, the diameter of the circle is 24 m.
The diameter of the circle is 13.54cm
The formula for calculating the area of the circle is expressed as:
A = πd²/4
d is the diameter of the circle
GIven the following
A = 144m²
Substitute the area into the circle
144 = πd²/4
πd² = 144 * 4
πd² = 576
d² = 576/3.14
d² =183.44
d = 13.54cm
Hence the diameter of the circle is 13.54cm
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Pablo wants to build a rectangular pen for the pig he is raising in his agriculture class. Pablo only has 36 feet of fencing. What representative function can be used to model the area of the rectangular pen as a function of the side length, x?
Answer:
Area of the rectangular pen is: [tex]18 \,x-x^2[/tex]
Step-by-step explanation:
We need to specify that the perimeter of the rectangular area of side x adds to the amount of fence Pablo has (36 feet). Recall as well that the opposite sides of a rectangle are equal, so if there is a side of length x, there must be another one of this size as well (a total of 2 x in the perimeter),let's assume that the perpendicular sides to x are of length y, then:
Perimeter= 2 x + 2 y = 36
so, 2 (x+y) = 36 then (x+y) = 18
and therefore the side y should be:
y = 18 - x
Now we can write the formula for representing the area of the rectangle (product of both quantities: x * y
[tex]Area=x\,*\,y = x\,(18-x) =18 \,x-x^2[/tex]
You decided to gather some information for how many days it rained over a period of time. You observed that it rained on 17 days and it did not rain on 13 days. Write a ratio comparing the number of days it rained to the total days you were collecting data.
The correct answer is 17: 30
Explanation:
The purpose of a ratio is to express the relationship between two elements in terms of quantities. For example, if there are 5 oranges and 4 lemons the ratio is 5 to 4. Additionally, this relationship between the quantities of two different things can be expressed as a fraction, by using a colon (:) or by using the word "to." In the last two cases, the colon or word "to" separate the two amounts compared.
In the case presented, the total of days observed was 30 days (17 days with rain + 13 days with no rain) and the ratio of rainy days to the total of days can be expressed as 17:30, [tex]\frac{17}{30}[/tex] or as 17 to 30, considering there were 17 rainy days out of a total of 30 days.
Mr. Ferret loves fresh, juicy, organic mole meat from Mole Foods grocery store. But his ability to purchase this tasty delicacy depends upon how much Mole Foods is currently charging per pound. The more Mole Foods charges, the less mole meat Mr. Ferret will buy. Use the ‑intercept equation to plot a line representing Mr. Ferret's demand curve.y =−2x+8
Answer:
It has a negative slope = -2
Step-by-step explanation:
Let y be the price and x be the quantity purchased . Then putting the value of x in the equation we can find the price= y
where y = −2x+8
x 0 1 2 3 4 5 6 7
y 8 6 4 2 0 -2 -4 -6
So we can plot the demand curve which has a negative slope.
We see from the values above that the slope is negative having a value equal to -2. This means that for every increase in the number of quantities there is a decrease in the price.
Order the set {4 2/3,6,-2,-2 1/2}
from greatest to least.
Given f(x)=10-2x, find f(7)
Answer:
f(7)=10-14=-4
Answer=-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
f(x)=10-2x
Let x = 7
f(7) = 10 -2(7)
= 10 -14
= -4
A rectangle has opposite sides that are parallel and congruent. What is the measure of each interior angle in a rectangle?
Each interior angle of a rectangle measures 90°
What is a rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
According to the property of a rectangle, we have,
Opposite side equal and paralleleach interior angle right angleDiagonal are equal and bisects each other.Hence, Each interior angle of a rectangle measures 90°
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Will mark brainiest for simplest and most coherent answer. What does it mean if an x (input) or y (output) value doesn't make sense? What does it look like on a graph? What happens in the equation?
Answer:
I tried to answer but I still would like to know what doesn't make sense.
Considering the identity:
[tex]\sec^2\theta-\tan^2\theta=1 \implies |\sec\theta|\geq1[/tex]
[tex]$\forall\;\theta\in\mathbb{R}-\{(2n+1)\frac{\pi}{2}, n\in\mathbb{Z} \}$[/tex]
The identity is true whenever both sides are defined. It is not supposed to hold the values when we have division by zero, because it is undefined.
If the value doesn't make sense, it is probably not a function, or it is undefined by the given value of [tex]x[/tex].
Let's go back to the definition of function again:
A function relates a set of inputs and a set of allowable outputs where each input is related to only one output. It basically defines the relation of ordered pairs.
Hope it helped you a bit.
What is the measure of Angle X, in degrees?
Answer:
sinx = perpendicular/hypotenuse
sinx = 12/16
sinx = 3/4
x = arcsin 3/4
x = 48.6 degrees (using calculator)