1) 3 people
2) 20 people like mathematics only
3) 7 people like both mathematics and English
What is set?A set is a collection of well defined elements.
Analysis:
number of people in the class = 45
number that like mathematics or English or both = 42
number that like both subject = x
number that like mathematics only = 27 - x
number that like English only = 22 - x
1) number that did not like any subject = 45 - 42 = 3
27 - x + x + 22 -x = 42
49 - x = 42
x = 49 - 42 = 7
2) number that like mathematics only = 27 - 7 = 20
3) number that like mathematics and English = 7
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56000009x434383985934863
Answer:
2.43255071E22
Rounding to the nearest tenth: 2.4
Nearest hundredth: 2.43
Step-by-step explanation:
Hope I helped! :)
Answer:
2.43255e16
Step-by-step explanation:
What are 3 prime numbers that add up to 55?
Answer and Step-by-step explanation:
Prime numbers are numbered that can't be divided by whole numbers other than itself and 1.
7, 11, and 37 are prime numbers that add up to 55.
7 + 11 + 37 = 55
7 + 48 = 55
55 = 55
#teamtrees #PAW (Plant And Water)
Answer:
37+17+1
Step-by-step explanation:
I think
A prime number always has 2 factors:-)
1 and itself are its factors
I hope it helps
In order to understand the relation between smoking and hypertension (HT), a tea of researchers designed a study that looks at the numbers of smokers and nonsmokers with no HT, pre-HT, stage 1 HT, and stage 2 HT. Which one of the following statements is correct? a. A chi-square test of independence should be run for the study, because the outcome smoker vs. nonsmoker-is a continuous variable, and the grouping variable-no HT, pre-HT stage 1 HT, and stage 2 HT-categorizes the sample into four independent groups. b. A chi-square test of independence should be run for the study, because the outcome smoker vs. nonsmoker-is a dichotomous variable, and the grouping variable-no HT, pre-H stage 1 HT, and stage 2 HT-categorizes the sample into four independent groups. c. An independent samples t test should be run for the study, because the outcome-smoker vs. nonsmoker-is a categorical variable, and the grouping variable no HT, pre-HT, stage 1 HT, and stage 2 HT-categorizes the sample into four independent groups. d. An independent samples t test should be run for the study, because the outcome-smoker vs. nonsmoker-is a continuous variable, and the grouping variable no HT, pre-HT, stage 1 HT, and stage 2 HT-categorizes the sample into matched (or dependent) groups.
Correct option is C
In order to understand the relation between smoking and hypertension (HT) a tea of researchers designed a study that looks at the numbers of smokers and nonsmokers with no HT, pre-HT, stage 1 HT, and stage 2 HT.
An independent samples t test should be run for the study because the outcome smoker vs nonsmoker is a categorical variable and the grouping variable no HT, pre-HT, stage 1 HT, and stage 2 HT-categorizes the sample into four independent groups.
Variables
In Maths, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.
Probability
Probability is simply likely something is to happen. Whenever unsure about the outcome of an event, we can talk about the probabilities of certain outcome. The analysis of events governed by probability is called statistics.
Correct option is C
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Jorge bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent. Show your work.
HELP!!
The solution is:
⇒ 6b = 95.94 (equation to determine cost of one box)
cost of one box 'b' = $`15.99
⇒ 12t = 95.94 (equation to determine cost of per tile)
cost of one tile t = $0.7995.
Given :
Jorge bought a crate of floor tiles for $95.94.
The crate had 6 boxes of floor tiles.
Each box contained 20 floor tiles .
To Find :
Write and solve equation to determine the cost per box'b'.
Write and solve a second equation to determine the cost per tile't'
Solution :
Cost of one box = b
There are 6 boxes
So, cost of 6 boxes = $ 6b
Since Jorge bought 1 crate( = 6 boxes) of cost $95.94
⇒ (equation to determine cost of one box)
⇒6b = 95.94
⇒b =15.99
Thus cost of one box = $`15.99
Since 1 box 20 floor tiles
So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles
We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94
Cost of one tile = t
Cost of 120 tiles = $120t
⇒ (equation to determine cost of per tile)
⇒12t = 95.94
⇒t = 0.7995.
Thus cost of one tile t = $0.7995.
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Four points are always coplanar if they:
Four points are always coplanar if they: lie in same plane.
Firstly understanding the coplanar points. Coplanar points are refers to the points if they are present in same plane. Further defining the word "plane". Plane is the surface, which is flat and two dimensional in nature. The surface is infinite. Plane can also be referred as the analogue of 3 dimensional space, you we can also interpret the plane as extension of point or line.
So, the points that lie on different planes will not be coplanar. Now, understanding the points on lines. Two or more lines may or may not be in same plane. Subsequently, points may or may not be coplanar, depending upon the lines they are placed on. Thus, we can not definitely say that points lying on the same line are coplanar.
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please help asap no trolls will give brainliest!!!
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)
Determine whether the equation 6d+8=14+3d One solution, no solution, or infinitely many solutions
Answer:
One solution
Answer, d = 2
Step-by-step explanation:
6d + 8 = 14 + 3d
6d = 3d + 6
3d = 6
d = 2
This equation has only one solution
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
d=2
Step-by-step explanation:
6d+3d=14-8
solution ,
Or, 6d-3d=14-8
Or, 3d=6
Or, d=6/3
…d=2
The function f(x)= 2x +4x^-1 has one local minimum and one local maximum.
This function has a local maximum at x=?
with value ?
and a local minimum at x=?
with value ?
The requried, local minimum and maxium for the given function is √2 and -√2.
We need to find the local maximum and local minimum of the function \(f(x) = 2x + 4x^{(-1)}.\)
First, we find the derivative of f(x):
\(f'(x) = 2 - 4x^{(-2)} = 2 - 4/x^2\)
Setting f'(x) = 0 to find the critical points:
\(2 - 4/x^2 = 0\)
Solving for x, we get:
x = ±√2
To determine whether these critical points are local maxima or minima, we need to examine the sign of the second derivative:
\(f''(x) = 8x^{(-3)}\)
When x = √2, f''(√2) = 8/(√2)³ = 8√2 > 0, so x = √2 is a local minimum.
When x = -√2, f''(-√2) = 8/(-√2)³ = -8√2 < 0, so x = -√2 is a local maximum.
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The table shows the amount of money that Sarah charges customers to sell newspapers. The table represents a linear functions.
Question 10 options:
Sarah charges $5 before she begins selling newspapers
Sarah does not charge her costumers unless she has sold newspapers for at least 2 hours
Sarah charges $5 an hour to sell newspapers
Sarah earns 7$ for 1 hours of work
Figured it out, It's the 1st answer, Sarah charges $5 before she begins
The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.
The table representing amount of money which Sarah charges her customers to sell newspapers.
Let us consider 'x' represents the time per hour charges taken by Sarah from customers.
In the table,
For zero hours charges are $5.
It means Fixed charges taken by Sarah to sell newspaper.
Difference between the rate per hour is,
$7 - $5 = $2
$9 - $7 = $2
It represents for Sarah charges $2 per hour.
let us consider 'y' that represents total amount charges by Sarah.
Required linear function for selling news paper and charging amount is
y = $5 + 2x
⇒ y = 2x + 5
Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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What part of an hour passes from 3:12 p.m. to 5:30 p.m.?
Answer:
2.3 hours
Step-by-step explanation:
From 3:12 pm to 4:12 pm, one hour passes.
From 4:12 pm to 5:12 pm, another hour passes.
From 5:12 pm to 5:30 pm, there are 18 minutes that pass.
Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.
To convert this to a fraction, we can write:
2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours
So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.
Consider the following data concerning the demand (y) and price (x) of a consumer product the least squares line is found to be y= 306,619-27.71.x
A) Interpret b1
B) find a point prediction of the demand corresponding to be price 2.10
C) Find %95 confidence interval for b1 and interpret it
The value of B1 shows a fall in demand as price rises by a unit. The point prediction is given as y = 306,560.8
How to solve the question using the interceptThe regression equation shows that y= 306,619-27.71.x
b1 = -27.71
The interpretation for b1 is that if the price of this good is increased by 1, then the demand for the good would fall by about 27.71.
The point prediction for demandThe regression line equation is given as
y= 306,619-27.71.x
when x which is price is = 2.10
Then the value of y would be:
y = 306,619 - 27.71*2.10
y = 306,560.8
c. a 95% C1 for B1 is given as:
1.96 * 27.71.
= 54.31
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Trigonometry problem
Answer:
Hi! So, I'm pretty sure the answer is 1 (rounded).
However, I'm not sure if you're trying to find the answer to COS pi/10 or "the function in terms of cofunction of a complementary angle" which I'm not too sure about. I've given you the answer to the first part if this was not the right way to read the problem I deeply apologize.
Step-by-step explanation:
Using any calculator with the Cos, Sin, and Tan function, you can input
COS (pi / 10) which equals .9999849678 (which you can round as needed)
2.2 2.1.4 a Given that A and B are complementary angles and 7 cos A-3 = 0. Determine WITHOUT the use of a calculator, the value of: 7 cos B-3 tan A. (4)
How many times larger is 350,000 than 350?
Answer:
1000 times larger
Step-by-step explanation:
350,000 ÷ 350
1000
please answer quickly!!!
Answer:
\(c=20\)
Step-by-step explanation:
The diagonals of a rectangle always bisect each other. Therefore, we can set \(QT=ST\):
\(c=4c-60,\\-3c=-60,\\c=\fbox{20}\)
Make p the subject of the formula
m=3n+2p
Answer: \(p = \frac{m - 3n}{2}\)
Step-by-step explanation:
We need to isolate p from the given equation.
m=3n+2p
first lets subtract 3n from both sides to get 2p by itself.
m - 3n = 2p
now lets divide by 2 from both sides
m - 3n = 2p
/2 /2 /2
\(p = \frac{m - 3n}{2}\)
This morning sams car had 13.25 gallons of fuel now 1.9 gallons are left .how much fuel did Sam use
Answer:
11.35
Step-by-step explanation:
13.25
-
1.9
_____________
11.35
To find the probability of any event,
A.) add up the probabilities of the outcomes that make up the event.
B.) use the probability of the outcome that best approximates the event.
C.) assign it a random, but plausible value between 0 and 1.
D.) average together the personal probabilities of several experts.
Answer:
D
Step-by-step explanation:
I just know it plz mark me Brainlyist
Choose the most reasonable Celsius temperature for a snowy day.
17°C 26°C -6°C
Choose the most reasonable Celsius temperature for a snowy day.
O A. 26°C
OB. 17°C
C. -6°C
The most reasonable temperature for a snowy day is given as follows:
C. -6°C
How to obtain the most reasonable temperature?Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.
17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:
C. -6°C
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Is an example of money
Answer:
Gold coins are an example of commodity money. ... Dollar bills are an example of fiat money because their value as slips of printed paper is less than their value as money. Bank money consists of the book credit that banks extend to their depositors.
Step-by-step explanation:
Please help, I’ll mark your answer as brainliest.
Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
What is a sound wave?When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.
When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.
Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.
Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.
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Find the second differences
The second difference of the given number table is: Option A: -2
How to find the second differences?The second difference method can be used to determine a quadratic model. In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.
Thus, Applying the second difference concept to our problem, we have:
First difference:
-4 - (-9) = 5
-1 - (-4) = 3
Thus, second difference is:
3 - 5 = -2
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4. let a be n n. (a) if a is any square matrix, show 1 2 pa at q is symmetric. (b) show 1 2 pa ? at q is skew-symmetric. (c) show a can always be written as the sum of a symmetric and skew-symmetric matrix
(a)1/2 * (a + a^T) is symmetric.
(b)1/2 * (a - a^T) is skew-symmetric.
(c)a = 1/2 * (a + a^T) + 1/2 * (a - a^T). The first term is symmetric, and the second is skew-symmetric.
(a) If a is any square matrix, then 1/2 * (a + a^T) is symmetric. To show this, we need to prove that it is equal to its transpose.
(a + a^T)^T = a^T + (a^T)^T = a + a^T
Therefore, 1/2 * (a + a^T) is symmetric.
(b) If a is any square matrix, then 1/2 * (a - a^T) is skew-symmetric. To show this, we need to prove that it equals the negative of its transpose.
(a - a^T)^T = a^T - (a^T)^T = a - a^T
Therefore, 1/2 * (a - a^T) is skew-symmetric.
(c) Any square matrix can always be written as the sum of a symmetric and skew-symmetric matrix.
a = 1/2 * (a + a^T) + 1/2 * (a - a^T)
The first term is symmetric, and the second term is skew-symmetric.
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There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing of the pieces of fruit at random. 1)What is the probability that all 4 are peaches! 2)what is the probability that all 4 are bananas?
Answer:
10.2% chance
Step-by-step explanation:
There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.
So we can write it:
\(\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}\) = \(\frac{11880}{116,280}\) = .102 or 10.2% chance
For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.
12 * 11 * 10 * 9 = 11880
20 * 19 * 18 * 17 = 116,280
We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.
please help- Ive tried everything but I’m so confused
Answer:
d. 0.966
Step-by-step explanation:
I don't remember doing the correlation coefficient, but I had a quizlet with the answer. Sorry that I can't explain it :/ but I hope this helps you!
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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If An = 4(2)^n-1 , what is Sa?
The sum of the geometric progression is the sum S₃ = 32
What is sum of terms of a geometric progression?The sum of terms of a geometric progression is given by
Sₙ = a(rⁿ - 1)/(r - 1) where
a = first term ,r = common ratio and n = number of termsGiven the geometric progression, aₙ = 4(2)ⁿ⁻¹ comparng it with the general term of a geometric sequence aₙ = arⁿ⁻¹, then
a = first term = 4 and r = common ratio = 2Now, we desire S₃, that is Sₙ when n = 3.
So, S₃ = a(r³ - 1)/(r - 1)
= 4(2³ - 1)/(2 - 1)
= 4(8 - 1)/1
= 4(8)
= 32
So, the sum S₃ = 32
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Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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the vector v has initial point p(1, 0) and terminal point q that is on the y-axis and above the initial point. find the coordinates of terminal point q such that the magnitude of the vector v is 5.
The required terminal point is Q(0,2).
Vector magnitudeBy using the symbol |v|, the magnitude of a vector formula can be utilized to determine the length for a given vector (let's say v). In essence, this measurement represents the separation between the vector's starting and ending points.
For a vector v with endpoints at \((x_1,y_1)\) and \((x_2, y_2)\), its magnitude is
\(v=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
We are given the following in the question:
Initial point of vector, P(1,0)
The terminal point Q has coordinates in the following format because it is on the y-axis:
Q(0,y)
The magnitude of the vector is \(\sqrt{5}\).
Magnitude is given by,
\(v=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \sqrt{5} =\sqrt{(0-1)^2+(y-0)^2} \\5=1+y^2\\y^2=4\\y=_-^+2\)
But because the terminal position is higher than the starting point,
y is greater than 0.
Therefore,
y=2
Thus, the terminal point is Q(0,2)
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