Answer:
192x-4= -768
Step-by-step explanation:
Heather wants to rent a boat and spend at most $35. The boat costs $8 per hour, and heather has a discount coupon for $5 off. what are the possible numbers of hours heather could rent the boat?
Answer:
5 Hours
Step-by-step explanation:
8 x 5 = 40.
Heather wants to spend $35 dollars at most. She has a discount for $5 dollars off, so basically we do 40 -5, which equals $35.
an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in california. suppose that the mean income is found to be $16.6 for a random sample of 7472 people. assume the population standard deviation is known to be $11. construct the 98% confidence interval for the mean per capita income in thousands of dollars. round your answers to one decimal place.
The population standard deviation is known to be $11. construct the 98% confidence interval, then the 98% confidence interval for mean (a , b) = ( $16.8 , $16.3 )
A confidence interval is a range of values that describes the uncertainty surrounding an estimate.
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
CI = \(x\) ± z \(\frac{r}{\sqrt{n} }\) (Equation-1)
Where,
CI = Confidence interval
x = sample mean
z = Confidence level value
r = sample standard deviation
n = sample size
Given that,
Mean x = $16.6
Standard deviation r = $11
Number of samples n = 7472
Confidence interval = 98%
z(at 98% confidence) = 2.33
Substituting the values we have equation-1,
= $16.6 ± 2.33 ( \(\frac{11}{\sqrt{7472} }\) )
= $16.6 ± 2.33 ( $\(\frac{11}{86.44}\) )
= $16.6 ± 2.33 ( $ 0.127 )
= $16.6 ± $0.295
= $16.6 + $0.295 , $16.6 - $0.295
= ( $16.8 , $16.3 )
Therefore,
The population standard deviation is known to be $11. construct the 98% confidence interval, then the 98% confidence interval for mean (a , b) = ( $16.8 , $16.3 )
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A little confused on this
Answer:
Step-by-step explanation:
Let the points scores by Denny = x
Point score by Keshawn = 3 * x = 3x
Total score = 280
x + 3x = 280
4x = 280 {Divide both sides by 4}
4x/4 = 280/4
x = 70
3x = 3*70 = 210
Point scored by Keshawn = 210
If Denny's point total is 70, Keshawn's point is 210
how many solutions does 3(x-2)+7x=0.5(6x-2) have?
Answer:
One solution (See explanation for the number)
Step-by-step explanation:
Let's see..
3(x-2)+7x=0.5(6x-2)
3x-6+7x=3x-1
10x-6=3x-1
10x=3x+5
7x=5
x=5/7
Hope this helps :)
This one is really hard can you pls help me
Answer:
i think it is d and b
Step-by-step explanation:
x⁴+8x³+34x²+72x+81 factories it.
Answer:
The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.
I took a picture of the problem.
Answer:
- 28
Step-by-step explanation:
Help ! ASAP! I need it done by 10:45
Answer:
13%
Step-by-step explanation:
Its out of 100 people so:
47+33+7 = 87% own a pet
100-87=13%
I don’t know what to pick
Answer:
C. -3x+15=18 is correct
Step-by-step explanation:
-3•1= 3
3+15=18
hope this helps <3
Your answer is:
3) -3x + 15 = 18
THANK YOU!!
∝ Sidhdi
A stack of books is 56 inches high. How high is it in feet and inches?
1 foot = 12 inches
56 inches / 12 inches = 4.66 feet = 4 feet and 8 inches
Answer:
4 feet and 8 inches
Step-by-step explanation:
To convert a high number of inches to feet you divide it by 12 since 12 inches makes 1 foot.
So 56÷12 = 4 reminder 8
The remainder we keep it as inches
So our answer is 4 feet and 8 inches.
If the circle radius is 27yd, how do I find the circumference without using pi?
Circumference of a circle having radius of 27 yard can be found using the formula, π = 2(Area of Circle)/r, which is C = 169.6 yd
What is the Circumference of a Circle?Circumference of a circle is the distance round the circle.Circumference = Perimeter Circumference of a circle without using π = 2(Area of Circle)/r.Given:
radius of circle = 27 yd
Thus:
Area = πr² = π(27)²
Area = 2,290.2 yd²
Circumference of a circle without using π = 2(2,290.2)/27
= 169.6 yd.
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Determine whether each sequence is arithmetic or geometric. Find the next three terms.
Answer:
B
Step-by-step explanation:
a random sample of n equal to 36 scores is selected from a normally distributed population with mu equal to 80 and sigma equal to 10 .we are trying to find the probability that the sample mean will be greater than 78. what is the z-score that corresponds to this sample mean?
The z-score corresponding to a sample mean of 78 is -1.20 if distributed population with mu equal to 80 and sigma equal to 10.
Sample (n) = 36
Distributed population = 80
Sigma = 10
We can use the central limit theorem to determine the sampling distribution of the sample mean and normally distributed with a mean a standard deviation equal to the population standard deviation.
To calculate the z-score to a sample mean of 78, the formula used here is
z = (x - μ) / (σ / √n)
z = (78 - 80) / (10 / √36)
z = -2 / 1.67
z = -1.20
Therefore, we can conclude that the z-score corresponding to a sample mean of 78 is -1.20.
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suppose that there are two types of tickets to a show: advance and same-day. advance tickets cost and same-day tickets cost . for one performance, there were tickets sold in all, and the total amount paid for them was . how many tickets of each type were sold?
100 same-day tickets were sold for the cost using equation.
To solve this problem, we can use a system of two equations with two variables. Let x be the number of advance tickets sold and y be the number of same-day tickets sold. Then we have:
x + y = 600 (equation 1: total number of tickets sold)
50x + 30y = 28000 (equation 2: total amount paid for tickets)
We can solve for x and y by using elimination or substitution. Here's one way to do it using substitution:
From equation 1, we have y = 600 - x. Substitute this into equation 2:
50x + 30(600 - x) = 28000
Simplify and solve for x:
50x + 18000 - 30x = 28000
20x = 10000
x = 500
So 500 advance tickets were sold. To find the number of same-day tickets, we can substitute x = 500 into equation 1:
500 + y = 600
y = 100
So 100 same-day tickets were sold.
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The skills have a choice of making a model plane or a model proposed the materials for plane cost $2 in the materials for the boat cost $4 What is the relationship of the cost of making plans in the cost of making (but assume y is the cost of making planes)
A) Y = x
B) y = 2^2
C) y= 1/2x
D) y=2x
If the skills have a choice of making a model plane or a model proposed the materials for plane cost $2 in the materials for the boat cost $4. The relationship between the cost of making planes (y) and the number of planes made (x) is D. y = 2x
What is the relationship of the cost of making plans in the cost of making?Let's assume that x is the number of planes and y is the cost of making the planes.
According to the problem, the cost of making one plane is $2, so the cost of making x planes would be:
Cost of making planes = 2x
Therefore, the relationship between the cost of making planes (y) and the number of planes made (x) can be represented as:
y = 2x
Therefore the correct answer is D) y=2x.
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Which of the following is not a direct proportion?
A. y=3x
B. y=45x
C. y=72x
D. y=2
Answer:
45
Step-by-step explanation:
Divide:
x + 2x³-8x-160
x +4
[?]x³+[]x² + [ ]x + [ ]
Therefore, the coefficients of the quotient are [2, -8, 42, 0] and the constant term is -328.
What is Division?One of the four fundamental arithmetic processes, or how numbers are combined to create new numbers, is division. The additional processes are multiplication, addition, and subtraction. What is long division? Long division is a common division method in mathematics that can be easily performed by hand and is appropriate for dividing multi-digit Hindu-Arabic numerals (Positional notation). It divides a division issue into several simpler steps.The dividend is divided by the divisor, as is the case in all division problems, and the quotient is the final result. It makes it possible to conduct calculations involving arbitrary large numbers by following a set of easy steps. When the divisor has only one number, short division, the condensed version of long division.
by the question.
We can use long division to divide. \(x^{4} + 2x^{3} -8x-160\) by \(x + 4\):
\(2x^2- 8x + 42\)
----------------------
\(x + 4 | 2x^3 + 0x^2 - 8x - 160\)
\(2x^3 + 8x^2\)
--------------
\(-8x^2 - 8x\)
\(-8x^2 - 32x\)
------------
\(42x - 160\)
\(42x + 168\)
----------
\(-328\)
\(x + 2x^{3} -8x-160 = (x + 4)(2x^2 - 8x + 42) - 328\)
So, the quotient is \(2x^2 - 8x + 42\)and the remainder is -328.
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Two chords, AC and DE, intersect inside of circle O at point X. AX=15 cm, CX= 12 cm, and EX= 21 cm. Find DE
Answer:
Do you have a picture or something?
Step-by-step explanation:
Express 650 m as a fraction of 1 km.
Answer:
1km= 1000m
\(\frac{650}{1000}\)
=\(\frac{13}{20}\) (simplified)
Maria has 4 times as many necklaces as sheila toghter they have 25 necklaces how many necklaces does maria have
the probility of alvins mother will server rice with dinner is 0.78 the probilty that she will server carrots is with dinner is 0.30
The probability of both rice and carrots being served with dinner is 23.4%.
The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.
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Find the sum please!
The solution of expression is,
⇒ (6 + a⁴b) / a²b²
We have to given that,
An expression to solve is,
⇒ 6/a²b² + a²/b
Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, WE can simplify the expression as,
⇒ 6/a²b² + a²/b
Take LCM;
⇒ (6 + a² × a²b) / a²b²
⇒ (6 + a⁴b) / a²b²
Therefore, The solution of expression is,
⇒ (6 + a⁴b) / a²b²
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Can you please help ASAP. It is very easy
Hello!
Let the number be x.
We multiply it by 5:
5x
Subtract 3:
5x-3
Hope it helps. Ask me if you have any query.
~An excited gal
\(MagicalNature\) here to help
13. Zahra likes to go rock climbing with her friends. In the past, Zahra has climbed to the top of the
wall 7 times in 28 attempts. Determine the odds against Zahra climbing to the top.
A. 3:1
B. 4:1
C. 3:11
D. 3:4
Answer:
the odds against Zahra climbing to the top are,
B. 4:1
Step-by-step explanation:
Since she has climbed 7 times in 28 attempts,
the probability of a successful climb is,
P = 7/28
P = 1/4
So, the odds against Zahra climbing to the top are 4:1
statistics the art and science of learning from data 4th edition
"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.
This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.
Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.
When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.
In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
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Select the correct answer.
1-
What is the sum of the first 10 terms of this geometric series? Use
Sn=
6,144 + 3,072 + 1,536 + 768 + ...
OA. 11,520
OB
12,276
OC. 23,040
OD. 24,550
Answer:
B
Step-by-step explanation:
The sum to n terms of a geometric series is
\(S_{n}\) = \(\frac{a(1-r^{n}) }{1-r}\)
where a is the first term and r the common ratio
Here a = 6144 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{3072}{6144}\) = \(\frac{1}{2}\) , then
\(S_{10}\) = \(\frac{6144(1-(\frac{1}{2}) ^{10}) }{1-\frac{1}{2} }\)
= \(\frac{6144(1-\frac{1}{1024}) }{\frac{1}{2} }\)
= 12288(1 - \(\frac{1}{1024}\) ) ← distribute
= 12288 - 12
= 12276 → B
Answer:
B. 12,276
Step-by-step explanation:
(MARKING BRAINLIEST!) Jeremiah read 10 books in 6 months. Fill out a table of equivalent ratios and plot the
points on the coordinate axes provided.
Match these items. 1. insects, birds epidermis 2. moss, trees monerans 3. yeast, molds reproductive parts 4. protozoa, red algae kingdoms 5. bacteria, blue-green algae plants 6. five main groups of all living things vegetative parts 7. the study of plants fungi 8. flowers, fruits, and seeds protists 9. roots, stems, and leaves botany 10. provides plant cover on leaves and roots animals
Answer:
1. Animals.
2. Plants.
3. Fungi
4. Protists.
5. Monerans.
6. Kingdom.
7. Botany.
8. Reproductive parts.
9. Vegetative parts.
10. Epidermis.
Step-by-step explanation:
1. Insects, birds: Animals. All insects and birds are living organisms generally referred to as animals.
2. Moss, trees: Plants. Moss and trees are living organisms generally referred to as plants.
3. Yeast, molds: Fungi. They belong to a kingdom of multi-cellular eukaryotic organisms which can't make or produce their own food (heterotrophs).
4. Protozoa, red algae: Protists. They belong to a kingdom of single-celled (unicellular) eukaryotic microscopic organisms.
5. Bacteria, blue-green algae: Monerans. They belong to a kingdom of single-celled (unicellular) prokaryotic organisms without a nuclear cell membrane.
6. Five main groups of all living things: Kingdom. These are namely Kingdom Animalia, Kingdom Fungi, Kingdom Plantae, Kingdom Monera and Kingdom Protista
7. The study of plants: Botany.
8. Flowers, fruits, and seeds: Reproductive parts.
9. Roots, stems, and leaves: Vegetative parts.
10. Provides plant cover on leaves and roots: Epidermis.
At cracker barrel there are 15 side items to choose from. You order a variety plate that consists of 5
sides. In how many different ways can you choose your plate?
Answer:
3003
Step-by-step explanation:
It is going to be 15C5
If a 90% confidence interval for the difference of means μ1 – μ2 contains all negative values, what can we conclude about the relationship between μ1 and μ2 at the 90% confidence level?
We can conclude that μ1 = μ2.
We can conclude that μ1 > μ2.
We can not make any conclusions.
We can conclude that μ1 < μ2.
The B coordinate vector for \($-1+2t$\) will be:
\(\[\begin{bmatrix}c_1 \\c_2 \\c_3 \\\end{bmatrix}\]\)
What is linear algebra?
Linear algebra is a branch of mathematics that deals with the study of vector spaces, linear transformations, and systems of linear equations. It focuses on the properties and operations of vectors and matrices, as well as their relationships and transformations.
To find the B coordinate vector for a given vector in the standard basis, you need to express that vector as a linear combination of the basis vectors of B. Here's how you can approach it:
1. Given vector:\($-1+2t$\)
2. Write the given vector as a linear combination of the basis vectors of B:
\($-1+2t = c_1(1-2t+t^2) + c_2(3-5t+4t^2) + c_3(2t+3t^2)$\)
3. Equate the coefficients of corresponding terms:
\($-1 + 2t = c_1 + 3c_2$\\\\ $0t = -2c_1 - 5c_2 + 2c_3$ \\ \\$0t^2 = c_1 + 4c_2 + 3c_3$\)
4. Solve the system of equations to find the values of \(c_1$, $c_2$, and $c_3$.\)
By solving the system of equations, you can find the values of \(c_1$, $c_2$, and $c_3$\) , which will form the B coordinate vector for the given vector \(-1+2t$.\) Substitute the values back into the linear combination equation to obtain the B coordinate vector.
Once you have the values of \($c_1$, $c_2$, and $c_3$,\) the B coordinate vector for \($-1+2t$\) will be:
\(\[\begin{bmatrix}c_1 \\c_2 \\c_3 \\\end{bmatrix}\]\)
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