Answer:
clearly the value of the test statistics shows that there are no enough evidence to support the claim that the proportion of the grads are the same.
Step-by-step explanation:
lets prove the statement by counter example, where if we have found the statement to be false for one then we conclude that it is false for all.
first lets explain what proportion is all about; proportion can be explained as the numerical relationship that compares things together.
in particular lets take grade A proportional to grade B which implies that 18:20
clearly if we observe here grade A is not same proportion with grade B. hence we conclude that there are no enough evidence to support the professor's claim.
Please answer this correctly without making mistakes
Simplify the correct answer
Answer:
7/44
Step-by-step explanation:
First find the total number of presidents.
2 + 7 + 13 + 12 + 7 + 3 = 44
There were 7 presidents that were 45-49 when elected. Divide this number by the total number of presidents to find the fraction.
7/44 ≈ 0.159
please need help with this math question
Answer:
third option
Step-by-step explanation:
We just have to calculate 2x² - 4x - (x² + 6x). 2x² - x² = x² and -4x - 6x = -10x so the answer is x² - 10x.
Answer:
x^2-10x
Step-by-step explanation:
f(x)-g(x)
(2x^2-4x)-(x^2+6x)
carry through the negative
2x^2-4x-x^2-6x
x^2-10x
A poll reported that 66 percent of adults were satisfied woth the job the major airlines were doing. Suppose 25 adults are selected at random and the number who are satisfied is recorded.
1. Explain why this is a binomial experiment.
A. This is a binomial experiment because there are three mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
B. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a random number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
C. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success changes in each trial.
D. This is a binomial experiment because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials, the outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
2) Find and interpret the probability that exactly 15 of them are satisfied with the airlines.
Answer:
A)Option D
B)P(X = 15) = 0.1325
Step-by-step explanation:
A) From the question, the information given follows binomial distribution because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials. The outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
So option D is correct.
B) From the question, we are told that the poll reported that 66 percent of adults were satisfied with the job. Thus, probability is; p = 0.66
Let X be the number of adults satisfied with the job. Since 25 are selected,
Thus;
P(X = 15) = C(25, 15) * (0.66)^(15) * (1 - 0.66)^(25 - 15)
P(X = 15) = 3268760 × 0.00196407937 × 0.00002064378
P(X = 15) = 0.1325
The amount Q of water emptied by a pipe varies directly as the square of the diameter d. A pipe 5 inches in diameter will empty 50 gal of water over a fixed time period.
Assuming the same kind of flow, how many gallons of water are emptied in the same amount of time by a pipe that is 2 inches in diameter?
gallons are emptied.
Answer:
Q= 8
The amount emptied is 8 gallons of water
Step-by-step explanation:
First we need to create the equation for the above statement.
Q is directly proportional to the square of d
Q= kd²
Q= 50
d= 5
50= k5²
50 = k25
K = 50/25
K = 2
K is the constant of proportionality.
Now our equation is
Q= 2d²
Where Q = volume in gallons
d = pipe diameters in inch
For a pipe of diameter 2 inch
The amount of gallons of water emptied assuming the same kinf of flow is
Q= 2d²
Q= 2(2)²
Q= 2(4)
Q= 8
The amount emptied is 8 gallons of water
Find the volume of the cylinder.
The approximate volume only applies when pi = 3.14
Use either answer, but not both of course.
===============================================
Work Shown:
V = volume of cylinder
V = pi*r^2*h
V = pi*2^2*8
V = pi*32
V = 32pi .... exact volume in terms of pi
V = 32*3.14
V = 100.48 .... approximate volume when we use pi = 3.14
what is the slope of the line with the equation y= -2x - 1? A -2 B -1 C 2 D 1
Answer:
The answer is "A'' -2 because anything next to the letter x is the slope
Step-by-step explanation:
The equation to slops is y=mx+b
m= slope
b= y intercept
Slope = -2
Y intercept = ( 0 , -1)
Step-by-step explanation:
Hope this helps. Your answer would be A
You are mandated to pick 45 units per hour. You work 8.5 hours a day (minus a 1/2 hour lunch), Monday to Friday. How many units should you be picking each week?
Answer:
1912.5 unitsStep-by-step explanation:
Firstly let us calculate the amount of hours you will have to work in a week.
Since you will have to work Mondays through Fridays, hence you will be working 5 days in a week.
Hence in a week you will work 8.5*5= 42.5 hours in a week
Since in 1 hours you are mandated to pick 45 units
Hence in 42.5 hours you will pick 42.5*45= 1912.5 units
An airplane descends during the last hour of it's flight to prepare for landing. It's altitude changes at an average of -0.15 km per minute for those 60 minutes. (What is the product) How does the elevation of the airplane change in that hour? The elevation of the airplane _________ by ______ km. increases 60 decreases 9 0.15
WILL GIVE BRAINLIEST, THANKS AND FIVE STARS
Answer:
The elevation of the airplane decreases by 9 km.
Step-by-step explanation:
We use the distance-rate-time formula: d = rt.
Here, the rate is r = 0.15 km/min and the time is t = 60 min. Simply plug these into the formula:
d = rt
d = 0.15 * 60 = 9 km
So, the change in elevation in the last 60 minutes is 9 km. However, note that the rate is negative (-0.15 km/min), which means that the elevation actually is decreasing.
Thus, the answer is: the elevation of the airplane decreases by 9 km.
~ an aesthetics lover
Answer:
The elevation of the airplane _decrease_ by __9____ km
Step-by-step explanation:
Take the rate and multiply by the time to get the distance traveled
-.15 km per minute * 60 minutes
- 9 km
The plane will go down 9 km in that 60 minutes
You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friend walks 245 yards due west from your position and takes a bearing on the cabin of N 22.6°E. How far are you from the cabin? answer asap and ill give you a pat on the back
Answer:
101.98 yards.
Step-by-step explanation:
Please refer to the diagram that I drew (sorry for the messiness; I do not own a stylus and so I was using my mouse to try to draw it).
Since the triangle is a right triangle, you can use SOH CAH TOA. In this case, you are trying to figure out the opposite length, but you are given the adjacent. So, we will use tangent to solve this (TOA = Tangent, Opposite over Adjacent).
The angle is 22.6 degrees, and the tangent of the angle is equivalent to the opposite length, x, divided by the adjacent length, 245 yards.
tan(22.6) = x / 245
x / 245 = tan(22.6)
x = tan(22.6) * 245
x = 0.4162598242 * 245
x = 101.9836569
So, you are about 101.98 yards from the cabin.
Hope this helps!
x+15=6 What does x equal?
Answer:
x=-9
Step-by-step explanation:
6-15=-9
Answer:
-9
Step-by-step explanation:
When you add some thing to a negative that means you are actually subtract that number
expand (x+2y)^2 plzzzzzzzz
Please answer this correctly without making mistakes
66.7
you will get the answer
Answer:
66.7
Step-by-step explanation:
The bicycle shop is 24.1 kilometers west of the train station meaning the distance between them is 24.1 kilometers.
The hardware store is 42.6 kilometers west of the bicycle shop meaning the distance between them is 42.6 kilometers.
Finally, you add both of the distances. (42.6 + 24.1)
You get the answer 66.7 kilometers.
Hope this helps!
A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Does hypnotism appear to be effective in reducing pain? In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the difference in the measurements on a pain scale before and after hypnosis. What is the test statistic for this hypothesis test?
Answer:
Step-by-step explanation:
Hello!
This is an example of a pared sample test, the experiment is based on two dependent variables:
X₁: centimeters on a pain scale before hypnosis
X₂: centimeters on a pain scale after hypnosis
Out of these two variables a new variable is determined Xd= X₁-X₂
If the variables have an approximate normal distribution then the variable resulting from their difference will also have an approximate normal distribution.
The claim is that "hypnosis reduced the pain" if so you'd expect the population mean of the difference to be less than zero, symbolically: μd<0
The statistic for this test is a paired sample t test:
[tex]t= \frac{\frac{}{X_d} - Mu_d}{Sd} ~t_{n-1}[/tex]
To calculate the sample mean and variance you have to calculate the difference between the pairs first.
[tex]\frac{}{Xd}[/tex]= ∑Dif/n
[tex]S_d^2= \frac{1}{n-1} [sumDif^2- \frac{(sumDif)^2}{n} ][/tex]
∑Dif= 6.4
∑Dif²= 12.64
[tex]\frac{}{Xd}[/tex]= 6.4/5= 1.28
[tex]S_d^2= \frac{1}{4} [12.64- \frac{(6.4)^2}{5} ]= 1.112[/tex]
Sd= 1.05
[tex]t_{H_0}= \frac{\frac{}{Xd}-Mu_d }{Sd} = \frac{1.28-0}{1.05} = 1.219= 1.22[/tex]
I hope this helps!
Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. ∫ 3 0 | 8 x − 10 | d x
Please find attached
thank you
The area of Integral is 19 sq units.
What is Integral?An integral in calculus is a mathematical concept that can be used to represent an area or an expanded version of an area. The basic components of calculus are integrals and derivatives. The terms antiderivative and primal are additional terms for integral.
In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).
Given:
∫ 3 0 | 8 x − 10 | d x
Now, the graph touches the x axis
when 8x- 10 = 0
x= 10/8
x= 5/4
and, When x = 0, y = 10.
So, the limit range will be x = 0 to x = 5/4.
Now, Area of First triangle
= 10 x 5/4 x 1/2
= 25/4
and, Area of second triangle
= 14 x (3- 10/8) x 1/2
= 7 x 7/4
= 49/4
Hence, the total Area = 25/4 + 49/4 = 19 sq. units
Learn more about integration here:
https://brainly.com/question/18125359
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A triangle is placed in a semicircle with a radius of 4 mm, as shown below. Find the area of the shaded region.
Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
34.26 mm²
Step-by-step explanation:
To find the shaded region we must find the total area of the half-circle and then substract from it the area of the triangle
Step 1: Find the area of the half circleLet A be the area of the half circle
A = r²*π where r is the radius
A = 4²π = 16π mm²
Step2: Find the area of the triangleLet A' be the area of the triangle
A' = (b*h)/2 where b and h are respectively the base and the the height
A'= (8*4)/2 = 16
Step3: Find the area of the shaded regionLet A" be the area of the shaded region
A" = A-A'
A" = 16π -16 = 34.26 mm²
An after-school care facility tries to maintain a 2-to-1 ratio of children to adults. If the facility hired five adults, what is the maximum number of children that can enroll?
Answer:
10 children
Step-by-step explanation:
If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.
Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.
2 × 5 = 10
Hope this helped!
PLEASE HELP
Speed of pulley A = 400 r.p.m.
Speed of pulley B =
A:100
B:200
C:1600
Speed of pulley C =
A:100
B:1600
C:200
Speed of pulley D =
A:100
B:40
C:160
see attachment a=400 rpm b and c = 200 rpm d = 40 rpm
Answer:
pulley B 200, pulley C 200, pulley D 160
The following sample was obtained from a population with unknown parameters.
Scores: 13, 7, 6, 12, 0, 4
a. Compute the sample mean and standard deviation. (Note that these are descriptive values that summarize the sample data.)
b. Compute the estimated standard error for M. (Note that this is an inferential value that describes how accurately the sample mean represents the unknown population mean.)
Answer:
i think is 7
Step-by-step explanation:
A lease provides that the tenant pays $760 minimum rent per month plus 4% of the gross sales in excess of $150,000 per year. If the tenant paid a total rent of $20,520 last year, what was the gross sales volume?
Answer:
$435,000
Step-by-step explanation:
$760 per month * 12 months = $9,120
The minimum rent requires an annual rental cost of $9,120.
The annual rent was $20,520.
The excess was $20,520 - $9,120 = $11,400.
The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.
$11,400 is 4% of the amount in excess of $150,000.
Let the amount in excess of $150,000 = x.
$11,400 = 4% of x
0.04x = 11,400
x = 285,000
$285,000 is the amount in excess of $150,000.
Total gross sales volume = $285,000 + $150,000 = $435,000
Paul Revere had to travel 3.5 miles to Boston from Charlestown by boat. From Charlestown to Lexington he was able to ride a horse that traveled at a rate of 1/8 mile per minute. His total distance traveled y is the sum of the distance to Charlestown and the distance from Charlestown to Lexington. Write a linear equation that could be used to find the distance y Paul Revere traveled in x minutes
Answer:
y = 3.5 + (1/8)x
Step-by-step explanation:
Speed is the ratio of total distance traveled to the total time taken. It is given by the formula:
Speed = distance / time.
The distance Paul Revere traveled from Charlestown to Boston is 3.5 miles.
Paul Revere also traveled from Boston to Lexington by horse at a rate of 1/8 mile per minute. If he traveled for x minutes, the distance covered can be gotten by:
Speed = distance / time
1/8 = distance / x
distance = (1/8)x miles.
y = sum of the distance to Charlestown and the distance from Charlestown to Lexington
y = 3.5 + (1/8)x
Suppose Miss Roxanne Davenport is 25 years old right now and puts away $1,800 per quarter in an account that returns 6% interest. a.) How much will be in the account when she turns 65? b.)What is her total contribution to the account?
Answer:
a. Total amount after 65 years = $1179415.39
b. The total contribution to the account = $288000
Step-by-step explanation:
Given annuity amount = $1800
Total number of years for contribution = 65 – 25 = 40 years
Interest rate = 6%
a. Total amount after 65 years = Annuity[((1+r)^n -1) / r]
Total amount after 65 years = 1800×((1+.06/4)^(4 × 40) - 1)/(.06/4)
Total amount after 65 years = $1179415.39
b. The total contribution to the account =1800 × 4 Quarter × 40 Years
The total contribution to the account = $288000
Given the g(x) function, what is the best estimate for the instantaneous rate of change at x=3? g(x) =x^2−2x+5
Answer:
4
Step-by-step explanation:
g(x) = x² − 2x + 5
g'(x) = 2x − 2
g'(3) = 4
What is 86.94 rounded to the nearest tenth
Answer:
86.9
Step-by-step explanation:
Find the number in the tenth place 9 and look one place to the right for the rounding digit 4 Round up if this number is greater than or equal to 5 and round down if it is less than 5
Hope this can help
Find the values of x and y for both questions.
Answer:
16. x=48 y=70
17. x=45 y=5
Step-by-step explanation:
16. This is an isosceles triangle meaning that the two angles are the same. Meaning that (x+7)=55.
55-7=48
(48+7)=55 x=48
There are 180 degrees in a triangle, so 55+55=110
180-110=70. y=70
17. This is a right angled triangle meaning that the squared part is 90 degrees. And it is also an isosceles triangle meaning that x=97.
There are 180 degrees in a triangle, and 90 is already taken, meaning that there is 90 degrees more left.
90/2=45
x=45
9✖️5=45 y=5
Hope this helps, BRAINLIEST would really help me!
Use a calculator to determine the pattern of attractors for the equation y =kx(1-x) for the given value of k and the given initial value of x
K=3.26, x=0.8
Guys, I need help quickly?
Answer:
0.5216
Step-by-step explanation:
Given the function y =kx(1-x), the pattern of attractors are the value(s) of y at the initial value of k and x. Given the value of k = 3.26 and x = 0.8, to get the pattern of attractors, we will substitute the given initial value into the function as shown;
[tex]y =kx(1-x)\\\\y = 3.26(0.8)(1-0.8)\\\\y = 3.26*0.8*0.2\\\\y = 0.5216\\\\[/tex]
Hence, the pattern of attractor for the equation y is 0.5216
Hershel had 100 baseball cards that he labeled from 1-100. He started with number
one and marked every 5th card with an X, every 7th card with an O and every 10th
card with a V. What number card will be the first to have all 3 marks (XOV)?
Answer:
Hey there!
This question is basically asking for the least common multiple, or LCM of the three numbers.
If it is a multiple of 10, it has to be a multiple of 5. Thus, the only thing we need to do now, is find the LCM of 10 and 7, which is 70.
Thus, your answer is 70.
Hope this helps :)
Answer:
I think it is 70.
Step-by-step explanation:
I think that is the Lowest common Multiple of 5, 7 and 10:
10 = 2*5
7 = 7
5 = 5
So the LCM is 2 * 5 * 7 = 70.
linear regression model describing the relationship between the carat weight and price of very high quality diamonds is summarized below.
A diamond seller lists a very high quality diamond weighing 0.8 carats at a price of $10,999. Does this model over- or under-predict the price of this diamond? Select the option below that best summarizes the answer.
A. The model under-predicts the price of this diamond because the residual is positive.
B. The model over-predicts the price of this diamond because the residual is positive.
C. The model over-predicts the price of this diamond because the residual is negative.
D. We do not have enough information to answer this question.
E. The model under-predicts the price of this diamond because the residual is negative.
Answer:
A. The model under-predicts the price of this diamond because the residual is positive.
Step-by-step explanation:
The diamond seller has listed its 0.8 weighting diamonds at a price of $10,999. The price of the diamond is set as the market maker. The model is used to predict the price of the diamonds. This model has under predicted the value of diamonds and actual price of diamonds must be higher.
Suppose , varies jointly with g and v, and j = 2 when g = 4 and v= 3.
Find j when g = 8 and v= 11.
Answer:
j = 44/3
Step-by-step explanation:
j varies jointly as g and v. This can be represented mathematically as:
[tex]j \alpha gv\\j = kgv[/tex].............(1)
Where k is a constant of proportionality
j = 2 when g = 4 and v = 3
Substitute these values into equation (1)
2 = k * 4 * 3
2 = 12 k
k = 1/6
when g = 8 and v = 11:
j = (1/6) * 8 * 11
j = 44/3
Express the following as an expression: subtract y form 5 A 5y B 5-y C y-5 D y / 5
Answer:
5 - yStep-by-step explanation:
Given the statement "subtract y from 5", we are to express the statement mathematically. Expressing mathematically is as shown;
5 - y
Since we are removing the value of a variable y from 5, the variable we are subtracting will come last in the expression. For example say, we want to subtract 5 from 10, since we are taking out 5 from 10, the value of 5 will come last in the expression i.e 10 - 5 not 5 - 10.
According to the statement in question, we can see that we are to subtract y from 5, therefore y will come last in our expression and will be expressed as 5 - y
A construction crew is lengthening a road. The road started with a length of 56 miles, and the crew is adding 3 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 33 days.
Answer:
Below
Step-by-step explanation:
The initial length of the road was 56. 56 is the y-intercept assuming that the graph of this function is a line.
so the equation is:
y= mx+56
m is the slope of the function wich is by how much the function grows.
By analogy, m is the distance added to the road each day.
● y= 3x+56
X is the number of days.
■■■■■■■■■■■■■■■■■■■■■■■■■■
To find the length of the road after 33 days, replace x by 33.
y= 3*33+56 = 155
So after 33 days the road is 155 miles.