Answer:
The appropriate null hypothesis is [tex]H_0: p = 0.25[/tex]
The appropriate alternative hypothesis is [tex]H_1: p < 0.25[/tex]
Step-by-step explanation:
Exactly a year prior to this poll, in June of 2004, it was estimated that roughly 1 out of every 4 U.S. adults believed (at that time) that the war in Iraq was the most important problem facing the country.
At the null hypothesis, we test if the proportion is still the same, that is, of [tex]\frac{1}{4} = 0.25[/tex]. So
[tex]H_0: p = 0.25[/tex]
We would like to test whether the 2005 poll provides significant evidence that the proportion of U.S. adults who believe that the war in Iraq is the most important problem facing the U.S. has decreased since the prior poll.
Decreased, so at the alternative hypothesis, it is tested if the proportion is less than 0.25, that is:
[tex]H_1: p < 0.25[/tex]
A bookkeeper needs to post the cost of the desk and the chair into his records. The cost of the desk is fives times the cost if the chair. The total cost of the desk and the chair is $720, what is the cost of the chair?
Answer:
120
Step-by-step explanation:
720÷6
why?
becoz 6= 1+5
1 is the cosy of the chair
5 is the cost of the desk
Bill and Will, starting together, ran a 400-meter race, each running at a constant speed. When Bill crossed the finish line, Will was exactly 20 yards behind Bill. They decide to run the race again, this time Bill starting 20 yards behind the original starting line and each running at his same constant speed as before. This time _______ wins by _______ yards.
Answer: Bill, 1
Step-by-step explanation:
Given
Bill and will run a 400 yard race.
Bill win by 20 yard
Suppose the speed of Bill and Will are [tex]\mathbf{v_b}, \mathbf{v_w}[/tex]
time taken for them is same for the first time
[tex]\Rightarrow t_b=t_w\\\\\Rightarrow \dfrac{400}{v_b}=\dfrac{400-20}{v_w}\\\\\Rightarrow \dfrac{v_b}{v_w}=\dfrac{400}{380}\ or\ \dfrac{20}{19}\\[/tex]
Now Bill starts 20 yards behind the starting line
Ratio of their time to cover the distances is
[tex]\Rightarrow \dfrac{t_b}{t_w}=\dfrac{\dfrac{420}{v_b}}{\dfrac{400}{v_w}}\\\\\Rightarrow \dfrac{t_b}{t_w}=\dfrac{420}{400}\times \dfrac{v_w}{v_b}\\\\\Rightarrow \dfrac{t_b}{t_w}=\dfrac{21}{20}\times \dfrac{19}{20}\\\\\Rightarrow \dfrac{t_b}{t_w}=\dfrac{399}{400}[/tex]
The obtained ratio is less than 1. Thus, the time taken by Bill is less than Will.
For the same time Bill wins
[tex]\therefore \dfrac{v_b\times t}{v_w\times t}=\dfrac{420}{x}\\\\\Rightarrow x=19\times 21\\\Rightarrow x=399\ m[/tex]
Thus, Will has covered only 399 yards.
This time Bill wins by 1 yards.
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(b)
The Cartesian coordinates of a point are given.
(1, -5)
(i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 = 0 < 2.
(r, 0) =
(
(ii) Find polar coordinates (r, 0) of the point, where r < 0 and 0 < theta<2pi.
(r, 0) =
Answer:
Step-by-step explanation:
a) r = √(1² + (-5²)) = √26 = 5.09901...
θ = tan⁻¹(-5/1) = 4.9097... radians
(5.1, 4.9)
b) r = - 5.09901...
θ = 4.9097... - π = 1.76819...
(-5.1, 1.8)
A product is introduced into the market. Suppose a product's sales quantity per month q ( t ) is a function of time t in months is given by q ( t ) = 1000 t − 150 t 2 And suppose the price in dollars of that product, p ( t ) , is also a function of time t in months and is given by p ( t ) = 150 − t 2 A. Find, R ' ( t ) , the rate of change of revenue as a function of time t
Answer:
[tex]r'(t) = 298t -850[/tex]
Step-by-step explanation:
Given
[tex]q(t) = 1000t - 150t^2[/tex]
[tex]p(t) = 150t - t^2[/tex]
Required
[tex]r'(t)[/tex]
First, we calculate the revenue
[tex]r(t) = p(t) - q(t)[/tex]
So, we have:
[tex]r(t) = 150t - t^2 - (1000t - 150t^2)[/tex]
Open bracket
[tex]r(t) = 150t - t^2 - 1000t + 150t^2[/tex]
Collect like terms
[tex]r(t) = 150t^2 - t^2 + 150t - 1000t[/tex]
[tex]r(t) = 149t^2 -850t[/tex]
Differentiate to get the revenue change with time
[tex]r'(t) = 2 * 149t -850[/tex]
[tex]r'(t) = 298t -850[/tex]
Find the measure of the incanted angle to the nearest degree
Answer:
34⁰
Step-by-step explanation:
let unknown angle be x
cos x=19/23
cos x=0.826
x=cos inverse of 0.826
x=34.3⁰
What is the slope of the line that passes through the points (10,8) and (-15,18)?
Write your answer in simplest form.
Answer:
I believe it is 2/5 fraction
Answer:
-2/5
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 18-8)/(-15-10)
= 10/-25
= -2/5
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 85% of the time if the person has the virus and 5% of the time if the person does not have the virus, (This 5% result is called a false positive.) Let A be the event "the person is Infected" and B be the event "the person tests positive", a) Find the probability that a person has the virus given that they have tested positive, l.e. find P(AB). Round your answer to the nearest tenth of a percent and do not include a percent sign. P(AIB)= % b) Find the probability that a person does not have the virus given that they test negative, I.e. find P(A'B'). Round your answer to the nearest tenth of a percent and do not include a percent sign. P(A'B') =
This question is solved using the conditional probability concept.
Using this concept, we find that:
a) P(AIB)= 5.3%b) P(A'|B') = 99.9%First, the concept is presented.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(A|B) = \frac{P(A \cap B)}{P(B)}[/tex]
In which
P(A|B) is the probability of event A happening, given that B happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(B) is the probability of B happening.
----------------------------------------------------
Question a:
For relation with the formula presented above, I will change events A and B.
Event A: Person is infected.
Event B: Positive test.
Probability of a positive test:
85% = 0.85 out of 1/300 (person has the virus).5% = 0.05 out of 299/300(person does not have the virus)Thus:
[tex]P(B) = 0.85\frac{1}{300} + 0.05\frac{299}{300} = \frac{0.85\times1 + 0.05\times299}{300} = 0.0527[/tex]
Probability of a positive test and the person is infected.
85% = 0.85 out of 1/300. Thus:
[tex]P(A \cap B) = \frac{0.85}{300} = 0.0028[/tex]
Desired probability:
[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.0028}{0.0527} = 0.053[/tex]
0.053*100% = 5.3%, thus:
P(AIB)= 5.3%
---------------------
Question b:
Event A: Does not have the virus
Event B: Test negative.
Probability of a negative test:
100% - 85% = 15% = 0.15 out of 1/300 (person has the virus).100% - 5% = 95% = 0.95 out of 299/300(person does not have the virus)Thus:
[tex]P(B) = 0.15\frac{1}{300} + 0.95\frac{299}{300} = \frac{0.15\times1 + 0.95\times299}{300} = 0.9473[/tex]
Probability of a negative test and the person is not infected.
0.95 out of 299/300
Thus:
[tex]P(A \cap B) = \frac{0.95\times299}{300} = 0.9468[/tex]
Desired probability:
[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.9468}{0.9473} = 0.999[/tex]
0.999*100% = 99.9%, so:
P(A'|B') = 99.9%
A similar question can be found at https://brainly.com/question/24275491
Please help me with this on the image
Answer:
Step-by-step explanation:
a). Given expression in the question is,
[tex]\frac{13822\times 623}{14}[/tex]
Exact value of the expression will be,
[tex]\frac{13822\times 623}{14}=615079[/tex]
b). By using approximations to 1 significant figure,
13822 ≈ 10000
623 ≈ 600
14 ≈ 10
615079 ≈ 60000
Now use the expression,
[tex]\frac{13822\times 623}{14}=\frac{10000\times 600}{10}[/tex]
= 60000
Which statement is true about a line plot? A. A line plot shows the frequency of an interval of values of any given data set. B. A line plot shows the first quartile, but not the second quartile of any given data set. C. A line plot shows the frequency of the individual values of any given data set. D. A line plot shows the mean of any given data set.
Answer:
D
Step-by-step explanation:
A trolley travels in one direction at an average of 20 miles per hour, then turns around and travels on the same track in the opposite direction at 20 miles per hour of the total time waveling on the trolleys 3.5 hours, how far did the trolley travel in one direction?
mi
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9514 1404 393
Answer:
35 miles
Step-by-step explanation:
The relevant relation is ...
distance = speed × time
The total distance the trolley traveled is ...
d = (20 mi/h) × (3.5 h) = 70 mi
The distance is the same in both directions, so the trolley traveled half this distance in one direction.
The trolley traveled 35 miles in one direction.
f(x) = 3x3
3.3 – 2.02 + 4x - 5
g(x) = 6x - 7
Find (f + g)(x).
Answer:
C) (f+g)(x)= 3x^3-2x^2+10x-12
Cho biết tỉ lệ máy tính bảng sử dụng hệ điều hành A là 70%, tỉ lệ máy tính bảng sử
dụng hệ điều hành W là 30%. Xác suất để một máy tính bảng có hệ điều hành sử dụng ổn định
(không phải cài đặt lại) trong 2 năm đầu tiên là 0, 75. Tỉ lệ sử dụng ổn định của các máy tính
bảng có hệ điều hành A cao hơn tỉ lệ sử dụng ổn định của các máy tính bảng có hệ điều hành
W là 20%. Hãy tính xác suất để một máy tính bảng có hệ điều hành W sử dụng ổn định trong
2 năm đầu tiên.
Answer:
máy ...
xác suất để một máy tính bảng có hệ điều hành B sử dụng ổn định trong 2 năm đầu tiên. Add answer
What is the amswerdkdmxmmdmdmdm
Answer:
HUH?
Step-by-step explanation:
Please help out explanation need it
For this you just look at the sides.
Soh cah toa
This is good to remember.
Sin = opposite/ hypotenuse
Cos= adjacent/ hypotenuse
Tan = opposite/ adjacent
In this case you have TanZ, the side adjacent to the angle is 10 and the opposite to the angle is 24. So tanZ is 24/10 which simplifies to 12/5.
The hypotenuse is always the longest side, but the opposite and adjacent sides can change depending on the angle.
Answer:90 = ... 42 + 48) - 360
Step-by-step explanation:
HELPPPP PLZ
Witch statement is true about the value of |6|?
Answer:
The third choice is the correct one.
Step-by-step explanation:
The absolute value of six means that it's the distance from 0 to six, and that distance will be positive regardless of the number being negative or not.
Answer: The third answer is correct
Step-by-step explanation:
Since |6| is the absolute value of positive six, the value of an absolute value of any number is always positive.
How does sample size affect determinations of statistical significance? The smaller the sample size, the more confident one can be in one's decision to reject or retain the null hypothesis. The smaller the sample size, the greater the probability that the variable has an effect. The larger the sample size, the more accurate the estimation of the true population value. The larger the sample size, the greater the probability that the variable has an effect.
Answer:
The larger the sample size, the more accurate the estimation of the true population value.
Step-by-step explanation:
As large will be the sample size more data will be shown and more are the c c changes of it being an estimate of a true population. The sample size can be determined on the basis of use of experience, target variance, confidence level, and target for power.Given f (x) = 4x - 3,g(2) = x3 + 2x
Find (f - g) (4)
product of a positive and a negative integer is ___________
Answer:
negative
Step-by-step explanation:
because when positive and negative integers are multiplied it results to a negative answer
HELP!!!!!!!!!!!!!!!!!!!
Calculate the future value of $2,500.00, earning interest at a rate of 2 1/2% that is compounded quarterly for 4 years.
A) $3,711.26
B) $2,563.09
C) $2,762.07
D) $5,910,086.00
Answer:
C) $2,762.07
you can use a compound interest calculator to find the answer
Slope 0; through (-5, -1)
Answer:
y = -1
Step-by-step explanation:
find the sum or difference of 4/5 - (-3 4/5)
Answer:
4 3/5
Step-by-step explanation:
4/5 - (-3 4/5)
Subtracting a negative is like adding
4/5 + 3 4/5
3 8/5
3 5/5 + 3/5
3+1+3/5
4 3/5
Which of the following is equal to -27?
Step-by-step explanation:
here's the answer to your question
Answer: Third Choice. 3i√3
Step-by-step explanation:
Concept:
Here, we need to know the idea of radical expression and an imaginary number.
A radical expression is any mathematical expression containing a radical symbol. If you need to multiply the number outside of radical back into the radical, then you need to square the number then multiply.
For example: 2√5. We need to first square 2, which gives us 4. Then, it becomes √(4 × 5) = √20Imaginary numbers are the numbers when squared it gives the negative result. An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.
Solve:
3√3 = √(3 × 3²) = √27 FALSE
-3√(3i) = √(3i × (-3)²) = √27i FALSE
3i√3 = √(3 × (3i)²) = √-27 TRUE
3√(3i) = √(3i × 3²) = √27i FALSE
As we can see from above, only the third choice equals √-27.
Hope this helps!! :)
Please let me know if you have any questions
Can someone please help me thanks in advance!
Step-by-step explanation:
Bro your question is quiet blur... Please help me out..
hope it Wonderful.
^_^....!_!_
Professor Iron always gives two exams in his communications class. He only uses the lower of the two scores that a student gets on the exams when he calculates the course grade. Put the grade on the first exam on the horizontal axis and the grade on the second exam on the vertical axis. What kind of preference a student should have for these two grades. Group of answer choices Perfect Complements Perfect Substitutes Cobb-Douglas Preference Neutral Preference
Answer:
Perfect complements
Step-by-step explanation:
Since minimum score of tests is to be considered. It is a case of perfect complements.
Correct option is
Perfect complements
Please help, I'll give brainliest to the correct answer <3
A company recently purchased a new set of laser printers.
The value of the laser printers P, in dollars, t years after the purchase can be represented by the function P(t)=1,900(0.82)t.
Interpret the meaning of the function in the context of this situation.(1 point)
The initial value of the laser printers was $1,900, and the value increases by 82% each year.
The initial value of the laser printers was $1,558, and the value decreases by 82% each year.
The initial value of the laser printers was $1,558, and the value decreases by 18% each year.
The initial value of the laser printers was $1,900, and the value decreases by 18% each year.
Answer:
The initial value of the laser printers was $1,900, and the value decreases by 18% each year.
Step-by-step explanation:
Here ya go bestie <3
Hi I need help how to solve this equation with explanation thank you
Answer:
A)x>-3
Step-by-step explanation:
as the circle is not coloured this means that -3 is not included so the ones that have
[tex] \geqslant \\ \leqslant [/tex]
are not answers and these means smaller or equal to/greater or equal to.
As the line is going to the right this means that x is greater than -3 so we use > for greater.
so in the end we get that the answer is x > -3
ou invested 7000 between two accounts paying 4% and 9% annual interest, respectively. If the total interest earned for the year was $430 how much was invested at each rate? $ nothing was invested at and $ nothing was invested at
9514 1404 393
Answer:
$3000 at 9%$4000 at 4%Step-by-step explanation:
Let x represent the amount invested at 9%. Then 7000-x was invested at 4% and the interest earned was ...
9%·x +4%(7000-x) = 430
5%·x +280 = 430 . . . . . . . . . simplify
0.05x = 150 . . . . . . . . . . . subtract 280
x = 3000 . . . . . . . . . . divide by 0.05
$3000 was invested at 9%; $4000 was invested at 4%.
6. (4 points) (a) The edge of a cube was measured to be 6 cm, with a maximum possible error of 0.5 cm. Use a differential to estimate the maximum possible error in computing the volume of the cube. (b) Using a calculator, find the actual error in measuring volume if the radius was really 6.5 cm instead of 6 cm, and find the actual error if the radius was actually 5.5 cm instead of 6 cm. Compare these errors to the answer you got using differentials.
Answer:
A) ± 54 cm^3 ( maximum possible error in volume )
B) i) 58.625 cm^3 ii) 49.625 cm^3
Step-by-step explanation:
A) using differential
edge of cube = 6 cm , maximum possible error = 0.5 cm
∴ side of cube ( x )= ± 0.5 cm
V = volume of cube
dv /dx = d(x)^3 / dx
∴ dv = 3x^2 dx ---- ( 1 )
input values into 1
dv = 3(6)^2 * ( ± 0.5 )
= ± 54 cm^3 ( maximum possible error in volume )
B) Using calculator
actual error in measuring volume when
i) radius = 6.5 cm instead of 6 cm
V1= ( 6.5)^3 = 274.625 , V = ( 6)^3 = 216
actual error = 274.625 - 216 = 58.625 cm^3
ii) radius = 5.5cm instead of 6cm
actual error = 49.625 cm^3
Quadrilateral JKLM is rotated - 270° about the origin.
Draw the image of this rotation
Need a visual answer please! Thanks!
Answer:
Step-by-step explanation:
When the quadrilateral JKLM is rotated - 270° about the origin then the image of rotated quadrilateral is shown below.
What is rotation?"It is a transformation in which the object is rotated about a fixed point. "
For given question,
Quadrilateral JKLM is rotated - 270° about the origin.
This means, quadrilateral JKLM is rotated 270° clockwise about the origin.
We know, if point P(x, y) is rotated 270° clockwise or 90° anticlockwise then the coordinated of rotated point would be (-y, x).
From figure, the coordinates of the quadrilateral JKLM are:
J = (3, 3)
K = (5, -5)
L = (-3, -7)
M = (3, -3)
After rotating -270° about the origin the coordinates of the quadrilateral would be,
J' = (-3, 3)
K' = (5, 5)
L' = (7, -3)
M' = (3, 3)
And the image of the rotated quadrilateral J'K'L'M' is shown below.
Therefore, when the quadrilateral JKLM is rotated - 270° about the origin then the image of rotated quadrilateral is shown below.
Learn more about rotation here:
https://brainly.com/question/16710736
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The quinceañera (the young woman being celebrated)
dances the first part of the waltz first with her father, for
about 60 seconds.
She then dances with her padrino (godfather), for about
20 seconds.
She then dances with each of the chambelanes, the
young men she has chosen to accompany her on her
special day, for about 15 seconds each.
Bárbara's quinceañera is coming up, and she has to
choose a song that will be exactly the right length, so that
she is not stuck dancing by herself at the end of the song.
How long should her song be? Show your thinking
mathematically.
Answer:
2 minutes and 5 seconds
Step-by-step explanation:
60+20+15+15+15= 125 Seconds ( 2 minutes and 5 seconds )
I added three fifteens as I don't know the number of chambelanes.
Hope it helps!
