In which choice is y a nonlinear function of x?
O A. y = x/4 + 5
O B. y = 10 + x
O C. y = x+3/4 - 2x
D. y = 2 /x-3 + 5
Answer:
Option D
Step-by-step explanation:
For a function to be linear, the index of x should be 1. In D the coefficient of x is -1. Therefore D cannot be linear
The variable y a nonlinear function of x in (d) y = 2 /x-3 + 5
How to determine the nonlinear functions?A linear function is represented as:
y = mx + c
Other forms of equation are nonlinear functions
From the list of options, the equation y = 2 /x-3 + 5 do not have the form y = mx + c
Hence, the variable y a nonlinear function of x in (d) y = 2 /x-3 + 5
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The table shows the weights of 10 newborn pygmy marmosets meke a line plot to display the data. How many pygmy marmosets weigh more than 1/2 ounce ?
After closely analyzing the line graph, it can be seen that the number of pygmy marmosets weighing more than 1/2 ounce are 8.
To create a line plot, we plot each weight of the each pygmy marmosets on the y-axis and the pygmy marmoset number on the x-axis, which will be ultimately being connected using the points with a line.
After ploting the each mentioned weights (in ounces ) and taking a close study of the plotted line graph, we can see that there are total 8 pygmy marmosets which are weighing more than 1/2 ounce.
Therefore, the total number of pygmy marmosets with weight more than 1/2 ounces are 8.
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The complete question is :
The table shows the weights of 10 newborn pygmy marmosets make a line plot to display the data. How many pygmy marmosets weigh more than 1/2 ounce ?
Pygmy Marmoset Weight (ounces)
1 0.4
2 0.5
3 0.6
4 0.7
5 0.8
6 0.9
7 1.0
8 1.1
9 1.2
10 1.3
Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1,000 randomly sampled Greeks in 2011 and found that 25% of them said they would rate their lives poorly enough to be considered "su↵ering".42
(a) Describe the population parameter of interest. What is the value of the point estimate of this parameter?
(b) Check if the conditions required for constructing a confidence interval based on these data are met.
(c) Construct a 95% confidence interval for the proportion of Greeks who are "su↵ering".
(d) Without doing any calculations, describe what would happen to the confidence interval if we decided to use a higher confidence level.
(e) Without doing any calculations, describe what would happen to the confidence interval if we used a larger sample.
We are 95% confident that the true proportion of all Greeks who would rate their lives poorly enough to be considered "suffering" lies between 0.219 and 0.281.
a) The population parameter of interest is the proportion of all Greeks who would rate their lives poorly enough to be considered "suffering". The point estimate of this parameter is the proportion of the 1,000 randomly sampled Greeks who said they would rate their lives poorly enough to be considered "suffering", which is 0.25 or 25%.
b) The conditions required for constructing a confidence interval based on these data are:
1. Random sample: The Gallup poll surveyed a randomly sampled group of Greeks, satisfying the random sample condition.
2. Independence: The sample size is less than 10% of the population of Greece, so the independence condition is satisfied.
3. Sample size: The sample size is n = 1,000, which is large enough to use normal approximation methods.
4. Success-failure condition: The number of successes (suffering Greeks) and failures (non-suffering Greeks) in the sample are both greater than 10, so the success-failure condition is satisfied.
Therefore, all the conditions required for constructing a confidence interval based on these data are met.
c) To construct a 95% confidence interval for the proportion of all Greeks who would rate their lives poorly enough to be considered "suffering", we can use the following formula:
point estimate ± z* * standard error
where the standard error is calculated as:
sqrt((point estimate * (1 - point estimate)) / n)
Since we want a 95% confidence interval, the critical value z* can be found from the standard normal distribution table, which gives z* = 1.96.
Substituting the values, we get:
point estimate = 0.25
n = 1,000
z* = 1.96
standard error = sqrt((0.25 * (1 - 0.25)) / 1,000) = 0.0158
Therefore, the 95% confidence interval is:
0.25 ± 1.96 * 0.0158
= (0.219, 0.281)
We are 95% confident that the true proportion of all Greeks who would rate their lives poorly enough to be considered "suffering" lies between 0.219 and 0.281.
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14.36 subtracted by 15.12 ?
Answer:
-0.76
Step-by-step explanation:
Answer:
-0.76
Step-by-step explanation:
this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76
Write a sequence with five terms with a third term is six
Answer:
2, 4, 6, 8, 10
Step-by-step explanation:
This is a sequence that answers the question. Hope it helped
Please help me with my homework
Answer:
49/30
Or
1 19/30
Step-by-step explanation:
What is the answer to this question (hurry plz)
Answer:
not proportional
Step-by-step explanation:
a spinner with the letters a, b, c, and d is spun. what is the theoretical probability of landing on the letter c?
The probability of the spinner landing on the letter C is 1/4
To understand the probability of the spinner landing on the letter C, we need to start by looking at the total number of possible outcomes. In this case, there are four possible outcomes, corresponding to the four letters A, B, C, and D.
Since each of the four quadrants on the spinner is equal in size, each of the four letters has an equal chance of being landed on. Therefore, the probability of the spinner landing on the letter C is the number of ways that the spinner can land on C, divided by the total number of possible outcomes.
Since there is only one way for the spinner to land on C, and there are four possible outcomes in total, the probability of the spinner landing on the letter C is 1/4
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The given question is incomplete, the complete question is:
A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner landing on the letter C
What is the probability of scoring exactly 3 consecutive free throws within the set of 5?
The probability of scoring exactly 3 consecutive free throws within a set of 5 attempts is 2 * (p^3) * (q^2), where p is the probability of making a free throw and q is the probability of missing a free throw.
Let's assume that the probability of making a free throw is denoted by "p," and the probability of missing a free throw is denoted by "q" (where q = 1 - p).
To score exactly 3 consecutive free throws within the set of 5, we can have two possible scenarios:
1. The first three free throws are successful, followed by two misses.
2. The first free throw is a miss, followed by three successful free throws, and then a miss.
For the first scenario, the probability is: (p * p * p * q * q).
For the second scenario, the probability is: (q * p * p * p * q).
We need to consider both of these scenarios, so we sum their probabilities:
P = (p * p * p * q * q) + (q * p * p * p * q)
Since these scenarios are independent, we can multiply the probabilities together:
P = p^3 * q^2 + q * p^3 * q = 2 * p^3 * q^2
So, the probability of scoring exactly 3 consecutive free throws within a set of 5 attempts is 2 * p^3 * q^2.
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BRAINLIEST ANSWER!! ASAP!
Answer:
w=36
Step-by-step explanation:
to get the perimeter you add all sides.
w+w+2w+6+2w+6=228
6w+12=228
6w=216
w=36
length= 2(36) +6
length= 78
width= 36
If it's wrong, I apologize honestly! Answer: 91
Step-by-step explanation:
2w+6= 2(?)+6
If the perimeter is 288, then we have to find what's the closest to it. So let's try 91. 2 ×91= 182 , so it's going to be 182 +6, which equals 188. Remember if the w is 100 the w in the width is going to be 100 also, so 188 + 100= 288 glad I could help!
what is the least common denominator of the equation 3/4(x-3)-1/2=2/3
Answer: 3(x-3)/4-1/2=2/3
Step-by-step explanation:
The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...
4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12
Answer:
12
Step-by-step explanation:
got it right on my quiz
than paid $40 for 5 cardio dance workout classes. He’s trying to set up an equation to help him find the cost of each class. What should Nathan put in the blank of the following equation? c=$40÷___ ?
Answer:
$40/5
Step-by-step explanation:
If you're trying to figure out the cost of each class divide the amount of money you pay in all ($40 dollars) by 5. Once you do that you should get 8, so $8 per class.
please help me with this
Answer:
B
Step-by-step explanation:
Answer:
No no no no nonononononono nononon non ono no non nononononon
Step-by-step explanation:
uhh its B MuHmuHmUaaahaha
wth who put the muffins in the freezer?? -_-
The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, what is the linear speed of the car in miles per hour? Round your answer to the nearest tenth.
Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:
Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep
4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3
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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.
To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:
Calculate the circumference of the wheel:
The circumference of a circle is given by the formula
C = 2πr
where r is the radius of the wheel.
In this case, the radius is 30 inches, so the circumference is
C = 2π(30)
= 60π inches.
Calculate the distance traveled in one revolution:
Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.
Calculate the distance traveled in one minute:
Multiply the distance traveled in one revolution by the number of revolutions per minute.
In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.
Convert the distance to miles per hour:
There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.
Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.
The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.
Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.
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On the second journey Ikbal drives at an average speed of 64km/h.
work out
(i) the distance he travels in 90minutes,
in km
Answer:
96Km
Step-by-step explanation:
l wrote 90/60 because the speed is given in hours.
so I had to deal with hours only not hours and minutes.
that's why I wrote 90/60 .
you can also choose to divide.
I mean to change the minutes to hours so that the formula can work.
good day.
Need this question completed as soon as possible! Please!
Answer:
B is the answer
Step-by-step explanation:
I converted each option to decimals so answer b looks like
2.25> 2.23> -2> -2.2
At a concession stand, a pickle and two bags of chips cost a total of $3.25. Three pickles and four bags of chips cost a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x+2y=3.25
Which of the following could be the second equation in his system of equations?
a) 4x+3y=7.25
b) 3x-4y=7.25
c) 3x+4y=7.25
d) (3+4)x=7.25
Answer:
p + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
please mark me
a deck of cards has only red cards and black cards. the probability of a randomly chosen card being red is 1 3 . when 4 black cards are added to the deck, the probability of choosing red becomes 1 4 . how many cards were in the deck originally?
Answer: The answer is (264)×(261)(525), because (264)×(261) are the possibilities for choosing 4 red cards and 1 black card from a deck of 52 cards, while (525) are the possibilities for choosing 5 cards from a deck of 52 cards.
So, your first solution is almost correct. On why your second solution is wrong, you'll have to explain your thought process.
Step-by-step explanation:
Can someone help me with this
Answer:
points at (0,-1) and (1,4) will have a slope of 1/4 and a negative y-intercept
Step-by-Step Explanation:
Which equation represents the parabola with focus
(
1
,
4
)
and latus rectum of 4?
y
=
−
1
4
(
x
−
1
)
2
+
3
y
=
4
(
x
−
1
)
2
+
3
y
=
(
x
−
1
)
2
+
4
y
=
1
4
(
x
−
1
)
2
+
3
The equation of parabola with with focus (1,4)and latus rectum of 4 is given as y=(x−1)2+4, hence option C is correct.
We know that the focus of the parabola is at (1, 4), and the latus rectum is 4 units long. The latus rectum is the line segment that passes through the focus and is perpendicular to the axis of symmetry. Its length is equal to 4 times the distance from the focus to the directrix. Since the latus rectum is 4 units long, the distance from the focus to the directrix is 1 unit.
Therefore, the directrix is the horizontal line y = 3, which is 1 unit below the focus. The axis of symmetry is the vertical line x = 1. The standard form of the equation of a parabola with vertex at the origin, axis of symmetry along the x-axis, and focus at (p, 0) is:
x² = 4py
In this case, the vertex is (1, 0) and the focus is (1, 4). Therefore, we can write,
x - 1 = 4p(y - 0)
x - 1 = 4py
We know that the distance from the focus to the vertex is p, which is 4 units in this case. Therefore, the equation of the parabola is,
(x - 1)² = 16y
Simplifying this equation, we get,
y = (1/16)(x - 1)²
Therefore, the answer is C. y = (x - 1)²/16.
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Complete question - Which equation represents the parabola with focus (1,4) and latus rectum of 4?
A. y=−14(x−1)²+3
B. y=4(x−1)²+3
C. y=(x−1)²+4
D. y=14(x−1)²+3
very few tools are available to assist system analysts and end users in analyzing data.
False. very few tools are available to assist system analysts and end users in analyzing data.
There are many tools available to assist system analysts and end users in analyzing data. Some commonly used tools include spreadsheets (such as Microsoft Excel), data visualization software (such as Tableau or Power BI), statistical analysis software (such as R or SPSS), and business intelligence software (such as SAP or Oracle).
These tools allow analysts and end users to process, manipulate, and visualize large volumes of data, as well as to perform complex statistical analyses and modeling. Additionally, with the advent of big data technologies, such as Hadoop and Spark, analysts and end users can now analyze vast amounts of data in real-time, using distributed computing systems.
In summary, there are many tools available to assist system analysts and end users in analyzing data, and these tools continue to evolve and improve over time.
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Prove: ∠1 and ∠14 are supplementary angles.
Answer:
can you please send the images of figure of these angle
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
students deliver catalogues and leaflets to houses.
one day, they have to deliver 480 catalogues and 1520 leaflets
each student can deliver either 15 catalogues or 80 leaflets in 1 hour
each student can only work for 8 hours
all students hired are paid £50.40 per day, even if they don't work a full day
if the minimum number of students are hired, how much will the wage be?
The minimum wage will be £403.20.
What is the ratio?A ratio is a mathematical relationship that demonstrates how frequently one number contains or is contained inside another. Two numbers are compared using it.
Given:
Each student can deliver 15 catalogues or 80 leaflets per hour. Therefore, in 8 hours, each student can deliver:
15 catalogues/hour x 8 hours = 120 catalogues
80 leaflets/hour x 8 hours = 640 leaflets
To determine which of these two options will yield a higher number of catalogues and leaflets delivered:
we can calculate the ratio of catalogues delivered to leaflets delivered for each option.
Option 1:
15 catalogues/hour x 8 hours = 120 catalogues delivered;
120 catalogues / 480 total catalogues = 0.25 (catalogue delivery ratio)
Option 2: 80 leaflets/hour x 8 hours = 640 leaflets delivered;
640 leaflets / 1520 total leaflets = 0.42 (leaflet delivery ratio)
Since Option 2 has a higher delivery ratio, we will use this option to determine the minimum number of students required.
To deliver 1520 leaflets in 8 hours, each student needs to deliver:
1520 leaflets / 8 hours = 190 leaflets
Therefore, the minimum number of students required is:
480 catalogues / 120 catalogues per student = 4 students
1520 leaflets / 190 leaflets per student = 8 students
Since we need at least 8 students to deliver the required number of leaflets, we will hire 8 students. The number of catalogues delivered by these students will be:
15 catalogues per student per hour x 8 hours x 4 students = 480 catalogues
The total wage for the 8 students will be:
8 students x £50.40 per day = £403.20
Therefore, the wage for the minimum number of students required to deliver the catalogues and leaflets is £403.20.
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Answer:
answer :£352.80
Step-by-step explanation:
1520÷80=19 hours =3 students needed
480÷15=32=4 students needed
7×50.40=352.80
question1 pls answer
Answer:
f(3) = 10
Step-by-step explanation:
given f(x) = 12/x + 6,
we want to find f(3)
to do so we plug in x = 3
so,
==> f(3) = 12/3 + 6
==> f(3) = 4 + 6
==> f(3) = 10
There are 15 marbles in a jar: 4 red, 5 green, and 6 yellow. You select one marble and do not replace it. Then, you select another marble. Determine if these events are independent
The events of picking marbles from the jar is independent
An event is independent if the occurrence of one event does not depend on another event.
For example, if you toss a coin and it lands on its head. You then flip another coin and it lands on its tail. These two events are independent. The face the second coin lands on do not depend on which face the first coin lands on. Also, the face that the first coin lands on does not depend on which face the second coin lands on.
In this question, after the first marble is picked, you do not return the first marble into the jar. Then you pick a second marble. The colour of the second marble does not depend on the colour of the first marble you picked. This means that the events are independent.
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is it greater or less or equal
The volume of the stack of hexagonal blocks is smaller than the volume of the square stack.
How to compare the volumes?First, we have a stack of 6 hexagonal blocks, such that each block has a base of 32.56 in² and a thickness of 0.12 in, then the total volume of that stack is the product betweeen these 3 values:
V = 6*(32.56 in²)*0.12 in = 23.44 in³
While the other stack has 6 squares of sidelength of 5.75 inches and the same thickness.
Here the volume will be:
V' = 6*(5.75 in)²*0.12in = 23.81 in³
We can see that the second volume is larger, then the correct option would be smaller.
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6) Is the following statement true?
Every number of the form 2 to the power of n + 3 is a prime number
Answer:
yes it is true
hope my answer help you
hey, help me ASAP please :)
Answer:
because of vertical angles, 108
Step-by-step explanation:
Answer:
108 degrees
Step-by-step explanation:
Opposite angles are equal.
Thus, x = 108 degrees.
"4 multiplied by the sum of a number and 7"
A) 4(x + 7)
B) x + (7)(4)
C) 7x + 4
D) 4x + 7
Answer:
4(x+7) that is the answer