There are hundred students in a class who took an examination in Math and Science. 68 of them passed in Science, 32 passed in both Mathematics and Science, 12 students did not pass in any of the subjects
(i) How many students passed in Mathematics?
The number of student that pass mathematics is 52.
How to solve set theory?There are hundred students in a class who took an examination in Math and Science. 68 of them passed in Science, 32 passed in both Mathematics and Science, 12 students did not pass in any of the subjects. Therefore, the number of student that passes maths can be solved as follows:
U = 100
n(S) = 68
n(M n S) = 32
n(M U S)' = 12
Let
x = number of student that pass maths
Therefore,
100 = 68 + x - 32 + 12
100 - 68 + 32 - 12 = x
x = 52
Therefore,
number of student that pass maths = 52
learn more on set theory here: https://brainly.com/question/30613029
#SPJ1
g is most data likely to be skewed or symmetric? there is no right or wrong here but discuss and take a side on the issue.
Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.
There is very little confidence that the population would behave in expected ways.
The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.
To know more about Real life data, visit: brainly.com/question/28193706
#SPJ4
Which of the following shows 87 and 1/2% as a fraction? 7/8, 5/8, -8/75, none of these
On solving the provided question we can say that 7/8 show 87 and 1/2% as a fraction
what is fraction?Any number of equal parts or fractions can be used to represent a whole. Standard English fractions indicate how many units of a particular size there are. 8, 3/4. Whole contains fractions. The numerator to denominator ratio is a way of representing numbers in mathematics. Each of these is a simple fractional integer. A complex number has a fraction in its numerator or denominator. A proper fraction has a numerator that is smaller than the denominator. A fraction is a sum that is part of a grand total. It can be evaluated by breaking it down into smaller parts. For example, a whole number or half article is represented as 12.
7/8 show 87 and 1/2% as a fraction
87 and 1/2% should be written as 87.5%
To know more about fraction visit:
brainly.com/question/10354322
#SPJ1
Tre has 10 pencils and will has 14 pens what is the ratio of pencils to pens
The ratio of pencils to pens can be calculated by dividing the number of pencils by the number of pens. In this case, the ratio of pencils to pens is 10/14.
A ratio is a way to compare two or more values or quantities. It is expressed as a fraction or as a colon-separated pair of numbers. The first number in the ratio represents the number of units of the first quantity, and the second number represents the number of units of the second quantity.
In the case of the ratio of pencils to pens, the first quantity is the number of pencils and the second quantity is the number of pens. To calculate the ratio, you divide the number of pencils by the number of pens. In this case, you would divide 10 by 14, which is equal to 10/14 or 5/7.
The ratio can be expressed as either a fraction or as a colon-separated pair of numbers. In this case, the ratio of pencils to pens is either 5/7 or 5:7.
To learn more about ratio please click on below link
https://brainly.com/question/1504221
#SPJ4
How to figure out the area of a right angle triangle
The area of a right triangle can be found by multiplying half of the length of the base by the height.
The formula for the area of a right triangle is:
Area = (1/2) * base * height
It is important to note that the base and height must be perpendicular to each other, forming a right angle in the triangle. If the triangle is not a right triangle, then the area cannot be found using this formula.
To use this formula, simply measure the length of the base and height and plug these values into the formula. The result will be the area of the triangle, expressed in square units.
It is also worth noting that the height and base of a right triangle can be any two sides that form a right angle, not just the sides that are labeled as the base and height.
Learn more about area :
https://brainly.com/question/27683633
#SPJ4
14 Jun 2018 · Norman is 12 years older than Michael. In 6 years, he will be twice as old as Michael. How old is Michael now? (A) 3 (B) 6 (C) 12
Michael is now (B) 6 years old.
Let's start by defining variables for the current ages of Norman and Michael.
Let N be Norman's current age, and M be Michael's current age.
From the problem statement, we know that N = M + 12 (Norman is 12 years older than Michael).
We also know that in 6 years, Norman will be twice as old as Michael.
So we can set up the following equation:
N + 6 = 2(M + 6)
Substituting N = M + 12 into the equation, we get:
M + 12 + 6 = 2(M + 6)
Simplifying:
M + 18 = 2M + 12
M = 6
Therefore, Michael is currently 6 years old.
Answer: (B) 6
To learn more about years here:
https://brainly.com/question/3859460
#SPJ4
a bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical winch, from the bottom of a well that is 60 feet deep. a) compute the work required to lift the bucket from the bottom of the well to the top. (5pts) b) oops, we forgot to tell you! the chain that is being used to lift the bucket weighs 0.55 lbs per foot. now find the correct amount of work required to lift the bucket from the bottom of the well all the way to the top. (5pts) c) oh no! where is our head at today? we completely forgot to mention that the bucket has a hole in the bottom. it only weighs 35lb when it reaches the top, due to the water leaking out at a constant rate. now compute the real work required to lift the bucket from the bottom of the well to the top of the well. (recall that the bucket is being lifted at a constant rate, as well.) (5pts)
If the weight of the bucket is 70 lb , then the work required to lift the bucket from bottom is 135240 foot-pounds .
We use the formula : Work = Force × Distance to calculate the work done
where "Force" is weight of bucket filled with water and "Distance" is height it is lifted.
The weight of bucket filled with water is = 70 pounds.
We convert this to a force in pounds force, by using g = 32.2 feet per second squared ;
So , Force = Weight × Gravity
⇒ 70 lb × 32.2 ft/s² = 2254 lb-ft/s²
The distance that the bucket is lifted is = 60 feet ;
So , work required to lift bucket from bottom of well to top is :
⇒ Work = Force × Distance = 2254 lb-ft/s² × 60 ft
⇒ 135240 foot-pounds
Therefore , it will require 135240 foot-pounds of work to lift the bucket filled with water from the bottom of the well to the top.
Learn more about Work here
https://brainly.com/question/29032079
#SPJ4
The given question is incomplete , the complete question is
A bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical winch, from the bottom of a well that is 60 feet deep.
Compute the work required to lift the bucket from the bottom of the well to the top .
I need help with this
The unknown angles are as follows:
m∠1 = 117°
m∠3 = 68°
m∠4 = 22°
m∠5 = 90°
How to find angle relationship?When lines intersect angle relationships are formed such as linear angles, vertically opposite angles etc.
Therefore,
m∠1 = 180 - 63(sum of angles on a straight line)
m∠1 = 117 degrees
Hence,
m∠3 = 68 degrees(vertical angles)
Vertically opposite angles are congruent.
Hence,
m∠4 = 90 - 68
m∠4 = 22 degrees
Hence,
m∠5 = 90 degrees(right angle)
learn more on angles here: https://brainly.com/question/30349706
#SPJ1
shandra has a bag that contains pineapple chews, cherry chews, and peach chews. she performs an experiment. shandra randomly removes a chew from the bag, records the result, and returns the chew to the bag. shandra performs the experiment 57 times. the results are shown below: a pineapple chew was selected 8 times. a cherry chew was selected 25 times. a peach chew was selected 24 times. if the experiment is repeated 400 more times, about how many times would you expect shandra to remove a pineapple chew from the bag? round your answer to the nearest whole number.
Shandra is expected to select a pineapple chew about 56 times in the next 400 selections.
Based on the given results, Shandra selected a pineapple chew 8 times out of 57 selections. To estimate the expected number of times she would select a pineapple chew in the next 400 selections, we can use the proportion of pineapple chews selected in the first 57 selections:
The proportion of pineapple chews selected = 8/57
To estimate the expected number of pineapple chews in the next 400 selections, we can multiply the proportion by the total number of selections:
Expected number of pineapple chews in the next 400 selections = (8/57) x 400
expected number of pineapple chews in the next 400 selections = 56.14
Rounding to the nearest whole number, we would expect Shandra to select a pineapple chew about 56 times in the next 400 selections.
For more such questions on Probability: brainly.com/question/14349540
#SPJ4
a vendor at the basket ball game go to 405 bottles of water on Saturday she sold 127 fewer bottles on Sunday she sold 178 bottles on Sunday
The correct answer is 178 bottles of water sold on Sunday.
What is vendor ?Vendor is a person or a company that sells goods or services. The term is commonly used to refer to individuals who sell items at events, markets, or street stalls. Vendors may sell a variety of products, including food, drinks, clothing, accessories, and more
If the vendor sold 405 bottles of water on Saturday, and sold 127 fewer bottles on Sunday, then on Sunday she sold 405 - 127 = 278 bottles of water.
However, the question states that she actually sold 178 bottles of water on Sunday, so the number of bottles she sold on Sunday was incorrect.
The correct answer is 178 bottles of water sold on Sunday.
Learn more about vendor here: brainly.com/question/24852211
#SPJ1
what’s wrong with the question
The graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.
What is inequality?
In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
The given graph is wrong for the given inequality y ≤ 3x - 2
The correct graph for the given inequality is shown below.
The given graph would be correct for the inequality
y ≥ 3x - 2.
Hence, the graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.
To learn more about the inequalities, visit:
https://brainly.com/question/24372553
#SPJ1
how many pattern block trapezoids would create 3 hexagons
18 pattern block trapezoids would be needed to create 3 hexagons.
Pattern block trapezoids are geometric shapes used for pattern block activities.
Each hexagon is typically made up of 6 pattern block trapezoids.
To determine the number of pattern block trapezoids required to create 3 hexagons, multiply the number of hexagons by the number of trapezoids in each hexagon.
Number of trapezoids = Number of hexagons × Number of trapezoids in each hexagon
= 3 × 6
= 18
Therefore, 18 pattern block trapezoids would be needed to create 3 hexagons.
Learn more about Trapezoid here:
https://brainly.com/question/31380175
#SPJ6
word problem using division where the answer is 64
Answer:
Step-by-step explanation:
There are 256 people in a room. If they are divided into groups of 4, how many groups are there?
Answer: 64
A room is 11 ft by 20 ft. It needs to be painted. The ceiling is 8 ft above the floor. There are two windows in the room, each one is 3 ft by 4 ft. The door is 2.5 ft by 6.5 ft.
Part 2
a) Find the area of the walls and ceiling to be painted.
b) One gallon of paint covers 71.41 sq ft. How many gallons are needed to paint the room?
c) At $18.32 a gallon, what is the cost to paint the room?
The required answers are,
a) 675.75 [tex]ft^2[/tex]
b) 9.46 gallons or we can say that 10 gallons needed.
c) $183.2
What is Area:The amount of unit squares that cover a closed figure's surface is its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.
Now in the given question,
Area of Walls:
[tex]A(walls)=2(11*8)+2(20*8)\\A(walls)=2(88)+2(160)\\A(walls)=176+320\\A(walls)=496 ft^2[/tex]
Area of 2 windows:
[tex]A(windows)=2(3*4)\\A(windows)=2*12\\A(windows)=24 ft^2[/tex]
Area of door:
[tex]A(door)=2.5*6.5\\A(door)=16.25 ft^2[/tex]
Area of walls to be painted:
[tex]=A(walls)-A(windows)-A(door)\\=496-24-16.25\\=455.75ft^2[/tex]
Area of ceiling:
[tex]A(ceiling)=11*20\\A(ceiling)=220ft^2[/tex]
(a) Now total area to be painted:
A(walls to be painted)+ A(ceiling)=A(total)
[tex]A(total)=455.75 ft^2+220ft^2\\A(total)=675.75 ft^2[/tex]
(b) Number of Gallons:
coverage=71.41 ft^2 /gallon
675.75 ft^2/71.41 ft^/gal=gallons needed
9.46 gal= 10 gallons needed(approx)
(c) Cost of Paint:
You would need to buy 10 gallons at $18.32/gallon to have sufficient paint
cost=10 gallons x $18.32/gallon
=$183.2
To know more about area, visit:
https://brainly.com/question/27683633
#SPJ1
Select the correct answer.
Consider this quadratic equation.
x² + 3 = 4x
Which expression correctly sets up the quadratic formula to solve the equation?
O A.
OB.
O C.
O D.
-(-4) ± √(-4)² - 4(1)(3)
2(1)
-(-4) ± √(-3)² - 4(1)(4)
2(1)
-(-4) ± √4²(1)(3)
2(1)
-4± √√42-4(1)(3)
2(1)
The equation can be solved using the quadratic formula when the following expression is used: [tex]$x=\frac{-(-4)+-\sqrt{(-4)^2-4(1)(3)}}{2(1)}$[/tex]
What is quadratic formula?The quadratic formula in elementary algebra is a formula that gives the solution(s) to a quadratic equation. In addition to the quadratic formula, there are various methods for solving quadratic equations, including factoring (direct factoring, grouping, and the AC technique), completing the square, graphing, and others.
The following general quadratic equation is given:
ax² + bx + c = 0
As a result, a polynomial equation with exponent two is referred to as a quadratic ("square-like") equation. Quadratum is the Latin word for square, and since the area of a square with side length x is given by x2, this is the case.
A quadratic equation's solution(s) can be found using the quadratic formula in elementary algebra. Graphing, factoring (direct factoring, grouping, AC technique), completing the square, and other methods can be used to solve a quadratic equation in addition to the quadratic formula.
The given equation is x² - 4x + 3 = 0
When compared to the quadratic equation's general equation, we get a = 1, b = -4, c = 3.
When the coefficient values for the Sridhar Acharya formula are put in,[tex]$x=\frac{-(-4)+-\sqrt{(-4)^2-4(1)(3)}}{2(1)}$[/tex] which gives Option (A).
To learn more about quadratic formula, refer to:
https://brainly.com/question/1214333
#SPJ1
Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle? Responses A 24 inches24 inches B 18 inches18 inches C 4 inches4 inches D 32 inches32 inches E 36 inches
Answer:
e
Step-by-step explanation:
The rule of the sides of a triangle is that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This rule is also known as the triangle inequality theorem.
Bonus: (up to 5 points) The answer to the clues on the left goes on the first line. When you rearrange the
letters of this answer, you will reveal the word that is the answer to the clue on the right
What we do at night for 7-8 hours
Piece of lumber
Where you buy pastrami, etc/sandwiches (plural)delic slide
Christmas decoration
A direction
north
Sleep
OFFIC
thern
Part of bananas
Wide
A piece of playground equipment
Part of a rose
Answer:
sleep-peels:board-broad:delis-slide:tinsel-silent:north-thorn
Step-by-step explanation:
Those are the corresponding words
CAN SOMEONE HELP ASAP! ITS FOR HOMEWORK AND I DONT KNOW HOW TO DO ANYTHING !!!
The missing angles are
A. = 130 degrees
B. = 55 degrees
C. = 145 degrees
D. = 73 degrees
E. = 43 degrees
F. = 23 degrees
G. = 61 degrees
H. = 90 degrees
I. = 50 degrees
J. = 27 degrees
K. = 25 degrees
How to find the valuesAssuming the missing angle in each case is x
A. Angle on a straight line = 180 degree
x + 50 = 180
x = 130 degrees
B. Angle at a point = 360 degrees
209 + 96 + x = 360
x = 360 - 96 - 209
= 55 degrees
C. Angle on a straight line = 180 degree
= 145 degrees
D. Vertical angles are equal, using vertical angle theorem
= 73 degrees
E. vertical angle theorem
= 43 degrees
Learn more about angles at:
https://brainly.com/question/25716982
#SPJ1
0.22, 21%,0.21, 0.22 from least to greatest
0.21, 0.21, 0.22, 0.22 is the sequence from least to greatest.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.22, 21%, 0.21, 0.22
Now,
21% = 21/100 = 0.21
So,
0.22, 0.21, 0.21, 0.22
Arranging from least to greatest.
0.21, 0.21, 0.22, 0.22
Thus,
0.21, 0.21, 0.22, 0.22 is the sequence from least to greatest.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ9
I need help on this and it’s my last one please help
The number line is completed and attached.
What is a number line?A number line is a straight line that extends in both directions and is used to represent numbers. It is often used to visually demonstrate the relationships between numbers, including ordering and magnitude.
The number line is arranged in steps of 1/4 (fraction) or 0.25 (decimal), this represents the smallest tick marks
The medium sized marks represents the 0.5 line while the largest line mark represents the benchmark numbers chosen suitable to suit the numbers.
The negative part of the number line are numbered with the zero mark.
numbers like 1/8 (or 0.125) are converted to decimal and falls half way between each marked line.
2² = 4 and this is a benchmark number.
Learn more on number line at:
https://brainly.com/question/12399107
#SPJ1
12 - 1 / 5r = 2r + 1
Answer: r = 5
Step-by-step explanation:
Olivia
has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking. How much butter is used in each batch of muffins?
If she needs to divide the butter equally then quantity of butter that should be in 4 batches each is 1/32 pond.
According to the question:
Olivia has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking.
Quantity of butter = 1/8
Number of batches = 4
To find how much butter is used in each batch of muffins, we just have to divide 1/8 pond of butter to 4.
If she needs to divide the butter equally then quantity of butter that should be in 4 batches each = 1/8 ÷ 4 = 1/32 pond
To know more about portion
https://brainly.com/question/30670894
#SPJ4
The manager of a farmer's market has 350 lb of grain that costs $1.40 per pound. How many pounds of meal costing $0.80 per pound should be mixed with the 350 lb of grain to produce a mixture that costs $1.10 per pound?
350 pounds of the meal should be added to the grain to produce a mixture that costs $1.10 per pound.
What is meant by addition?
In mathematics, addition is the process of fusing two or more integers. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis. We add numbers in many different contexts.
Let the amount of meal mixed with the grain be 'x' pounds.
Now, Total price of the mixture = x*0.80 + 350*1.40 = (x+350)*1.10
350*(1.40 - 1.10) = x*(1.10 - 0.80)
350*0.3 = x*0.3
x = 350
Therefore, the amount of meal that should be added to the grain is 350 pounds.
To learn more about total amount calculation, refer to the link below:
https://brainly.com/question/26959824
#SPJ1
on a certain hot summers day, 613 people used the public swimming pool
The number of children and adults in swimming pool is 398 and 224.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form;
Ax + B = 0.
We are given that;
Number of people swimming=613
Price of children=$1.75
Price of adults= $2.25
Total= $1184.75
Let, number of children be x
Number of adults be y
Now, the equations will be
x+y=613....1
1.75x+2.25y=1184.75....2
On solving both the equations
X=389, y=224
Therefore, the solution of linear equation will be 389 and 224.
Learn more about linear equations;
https://brainly.com/question/10413253
#SPJ1
The complete question is;
on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults the receipts for admission totaled $1184.75 how many children and how many adults when I am at the public for that day
Toilets rolls are sold in packs 4 how many toilet rolls are there 10 packs
Answer:
40
Step-by-step explanation:
To determine the number of rolls, take the number of packs and multiply by the number of rolls per pack.
10 *4 = 40
40 rolls total.
Answer:
40 rolls
Step-by-step explanation:
10 packs * 4 rolls per pack
Question 2 2 pts Tests for tuberculosis like all other diagnostic tests are not perfect: QFT-G is one of such tests for tuberculosis Suppose that for the population of adults that is taking the test; 5% have tuberculosis The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. Suppose that POS stands for the test gives a positive result and S means that the adult really has tuberculosis What is the probability of an adult getting a NEG result and truly NOT having tuberculosis? 0.0373 0.0127 0.2230 0.7270
The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.
The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270. This can be calculated using Bayes' Theorem, which states that [tex]P(A|B) = (P(B|A) * P(A))/(P(B)).[/tex]
In this problem, P(A) is the probability of having tuberculosis (5%), P(B|A) is the probability of correctly identifying a person with tuberculosis (74.6%), and P(B) is the probability of getting a positive result (the sum of correctly identifying a person with tuberculosis (74.6%) and incorrectly identifying a person without tuberculosis
Therefore, P(A|B) = 0.7270.
The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ4
PLEASE HELP!!!!!!!!!!!!!!!!
There is only one pair of solution to the given system.
What is system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.Given is the system of equations as graphed.
The solution of the given system of equations is given by the total number of intersections of the graphed lines. These lines intersect at only one point (1, 4). So, there is only one pair of solution.Therefore, there is only one pair of solution to the given system which is (1, 4).
To solve more questions on graph transformation, visit the link below
https://brainly.com/question/8535922
#SPJ9
Need step-by-step explanation. Will mark the brainliest. Basically explained this equation as if i am a 5 year old child. (with step of course)
attached is solution. please excuse handwriting.
break up summation into two smaller summation,
then use summation formula for E (x)
What is the measure of each angle in a regular polygon with 9 sides?
Answer: 140
Step-by-step explanation:
Measure of each angle in a regular polygon can be determined by the equation 180(n-2)/n, where n is the number of sides. Plug in 9 to get 140 degrees.
HELP!!
A plane left Kennedy Airport on Tuesday morning for a 730-mile, 6-hour trip. For the first part of the trip, the average speed was 115 mph. For the remainder of the trip, the average speed was 125 mph. How long did the plane fly at each speed?
A. First part of trip: __ h
B. Second part of trip: __ h
The first part of the trip took approximately 6.39 hours and the second part of the trip took approximately 5.84 hours.
Solving for Time and Average Speed in a Two-Part Plane TripIn this problem, we are given the distance, total time, and average speeds for two parts of a plane trip.
Using the formula for average speed
Distance = average speed x time,
We can set up two equations and solve for the times spent flying at each speed.
We define t₁ as the time spent flying at 115 mph and t₂ as the time spent flying at 125 mph.
From the equation
730 miles = 115 mph x t₁,
we solve for t₁ and get
t₁ = 6.391304347826087 hours.
Similarly, from the equation
730 miles = 125 mph x t₂,
we solve for t₂ and get
t₂ = 5.84 hours.
Therefore, the plane flew at an average speed of 115 mph for approximately 6.39 hours and at an average speed of 125 mph for approximately 5.84 hours.
To know more about the speed of the plane, visit: https://brainly.com/question/4721806
#SPJ1