Please help, math question.
Identify the variable and the categories represented in this problem. Set up and fill in a two-way table to represent the frequencies in this problem.
Answers
Identify the variable and categories
By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.
2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.
Part b)
Set up and fill 2 way table.
Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells
There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below
Related Questions
help me asap
Which equation has both 7 and -7 as possible values of y ?
y³=42
y²=42
y³=49
y²=49
Which equation has both 4 and ? –4 as possible values of y ?
y²=8
y³=12
y²=16
y³=64
Answers
With this in mind, you expect to be looking for squares in answer to your question. You will find them.
1) y² = 49 . . . . . . . 4th selection
2) y² = 16 . . . . . . . 3rd selection
Use the discriminant to determine how many x-intercepts the graph of the equation has. y = –4x2 + 3x + 2 zero one two three
Answers
x-intercept: ( 3 + √41 / 8 , 0 ) , ( 3 - √41 / 8 , 0 )
Answer: two
WHICH COULD BE THE NAME OF A POINT
A .EF
B. K
C. Q
D. MN
Answers
C) Q can also be the name of a point.
Hope this helps =)
In Queensland, approximately 32% of household waste is recycled. What are the factors of 32?
Answers
32 = 2^5 . . . . . the only prime factor is 2. It has multiplicity 5.
32 = 1*32 = 2*16 = 4*8
Divisors of 32 are 1, 2, 4, 8, 16, 32.
A rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm. Which expressions can be used to find the volume of the prism? Select each correct answer. A. 5∙212∙112 B. 1212∙112 C, 112(5+212) D. 12(1212∙112)
Answers
Volume is the amount of 3-dimensional space an object occupies
Volume is measured in cubic units.To find Volume Multiply the length, the width, and the height.
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.
The rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm.
Substituting these values in the formula.
Volume = 5∙212∙112
Option A. 5∙212∙112 is the right answer.
A teacher asks 90 students who drive how many speeding tickets they received in the last year. predict the shape of the distribution and explain. select the correct answer below.
a. the distribution will be left-skewed. most people will have at least one ticket, but there will be a few people with no tickets.
b. the distribution will be left-skewed. most people will have no tickets, but there will be a few people with 1, 2, 3, or more tickets.
c. the distribution will be right-skewed. most people will have no tickets, but there will be a few people with 1, 2, 3, or more tickets.
d. the distribution will be roughly symmetric. the number of people who have fewer tickets than the mean and the number of people who have more tickets than the mean is roughly equal.
e. the distribution will be right-skewed. most people will have at least one ticket, but there will be a few people with no tickets.
Answers
The distribution of speeding tickets received by students is predicted to be right-skewed, with most students having no tickets and a few having multiple, indicative of a mode less than the median, which is less than the mean.
Explanation:The question concerns the prediction of the shape of the distribution of speeding tickets received by 90 students who drive over the last year. The correct answer is c. the distribution will be right-skewed. Most individuals tend to obey traffic laws to avoid fines and penalties, meaning the majority of people will have no tickets.
However, there will always be a few individuals who, due to various reasons, might accumulate one or more tickets within a year. This creates a long tail to the right in the distribution, as we have a large number of students with 0 or very few tickets and a smaller number with higher counts of tickets. This results in the mode being less than the median, which is less than the mean, a characteristic of a right-skewed distribution.
HELP!! 10 POINTS!! 1 EASY PROBLEM!!
Answers
1. You have:
A=3+12=15
B=4x
C=12
D=3x+1
2. Therefore, you have:
A/B=C/D
3. When you susbtitute the values of A,B,C and D, you obtain:
15/4x=12/(3x+1)
4. Now, you must clear the "x" to calculate its value, as below:
15(3x+1)=12(4x)
45x+15=48x
15=48x-45x
15=3x
15/3=x
5. Therefore, the result is:
x=5
How do you find the first five terms of a sequence defined recursively
Answers
Suppose you have a function like
an = 3x - 2 Try the first couple
a1 = 3(1) - 2
a1 = 3 - 2
a1 = 1
a2 = 3(2) - 2
a2 = 6 - 2
a2 = 4 So each term differs by 3
a2 - a1 = 3
an = a_(n - 1) + 3
a3 = a2 + 3
a3 = 4 + 3
a3 = 7
a4 = a3 + 3
a4 = 7 + 3
a4 = 10
a5 = a4+ 3
a5 = 10 + 3
a5 = 13
I'll do one more and then check it.
a6 = a5 + 3
a6 = 13 + 3
a6 = 16
a6 = 3x -2
a6 = 3*6 - 2
a6 = 18 - 2
a6 = 16 which checks.
So the general formula is
an = a_(n - 1) * k if you were multiplying or
an = a_(n - 1) + k if you were adding. The key thing is that you are working with the previous term.
what is |x−4| , if x>4
Answers
We can drop the absolute value bars because the expression x-4 is always positive. For example, if x = 10 (which is larger than 4), then x-4 = 10-4 = 6 is positive. There are no cases in which x-4 is negative if x > 4.
1.) A 2600 lb. car travelling downhill has a grade resistance of -130 lbs. Find the angle of the grade to the nearest tenth of a degree.
2.) A car travelling on a 2.7 degree uphill grade has a grade resistance of 120 lbs. Determine the weight of the car to the nearest hundred poulds.
Answers
Answer:
Step-by-step explanation:
Using the formula for Grade Resistance/Force in this case...
!!AND MAKING SURE YOUR CALCULATOR IS IN DEGREE MODE!!
R(or F) = Wsin∅--> R/F: the Grade Resistance
--> W: Weight of the Vehicle
--> ∅: Angle of the Hill
Because the Grade Resistance in problem 1) is (-)130lbs... we know that the car is traveling DOWNhill. (If it were simply 130lbs, the car would be traveling up the hill)
W: 2600lbs R: -130lbs ∅: ?? (plug in) --> -130lbs = 2600lbs(sin∅)÷ both sides by 2600lbs -130lbs÷2600lbs (lbs cancel) = -0.05-0.05 = sin∅YOU ARE NOT DONE! DO NOT BE FOOLED when you get to this point.we have just found SIN∅.... but we were asked to find ∅to do this, we must take the INVERSE of sin.... (because we cannot simply divide both sides by 'sin' by itself... we must instead...
---> sin[tex]^{-1}[/tex](-0.05) = ?
∅ ≅ -2.866 ..... (you can then divide 866 by 60' if necessary, to find degree and minute answer)...
∅ ≅ -2° 14'
Hope this will help you and others with the 2nd question as well! ^_^
DONT GIVE UP! You got this '_^
The angle of the grade to the nearest tenth of a degree will be ∅ ≅ -2° 14'.
What is mechanics?The branch of mathematics and physics known as mechanics is concerned with the interactions between matter, force, and motion in physical objects.
Using the formula for Grade Resistance/Force in this case...
R(or F) = Wsin∅
R/F: the Grade Resistance
W: Weight of the Vehicle
∅: Angle of the Hill
Because the grade resistance in problem 1) is (-)130lbs... we know that the car is traveling downhill. (If it were simply 130lbs, the car would be traveling up the hill)
W: 2600lbs R: -130lbs ∅: ??
(plugin) --> -130lbs = 2600lbs(sin∅)
÷ both sides by 2600lbs
-130lbs÷2600lbs (lbs cancel) = -0.05
-0.05 = sin∅
When you get to this point. We have just found SIN∅.... but we were asked to find it ∅. To do this, we must take the inverse of sin.... (because we cannot simply divide both sides by 'sin' by itself... we must instead...
sin(-0.05) = ?
∅ ≅ -2.866 ..... (you can then divide 866 by 60' if necessary, to find the degree and minute answer)...
∅ ≅ -2° 14'
Therefore, the angle of the grade to the nearest tenth of a degree will be ∅ ≅ -2° 14'.
To know more about mechanics follow
https://brainly.com/question/13402543
#SPJ2
A shoe box measures 15in. by 7 in. by 4 1/2 in. What is the surface area of the box?
Answers
4 1/2----> (4*2+1)/2-----> 9/2
[surface area of the box]=2*[area of the base]+[perimeter of the base*height]
[area of the base]=15*7------> 105 in²
perimeter of the base=2*(15+7)-----> 44 in
[surface area of the box]=2*[105]+[44*9/2]----> 210+198---> 408 in²
the answer is
408 in²
Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero.
Answers
1. The definition of an additive inverse of a number is precisely that which, when added to the number, will give a sum of zero.
The real problem, in certain fields, is usually to show that for all numbers in that field, there exists an additive inverse.
Therefore, if you tell me that you have a number, and its additive inverse, and you plan to add them together, then I can tell you in advance that the sum MUST be zero.
2. In your question, you use the word "difference", which does not work (unless the number is zero - 0 is an integer AND a rational number, and its additive inverse is -0 which is the same as 0 - the difference would be 0 - -0 = 0).
For example, given the number 3, and its additive inverse -3, if you add them, you get zero:
3 + (-3) = 0
However, their "difference" will be 6 (or -6, depending which way you do the difference):
3 - (-3) = 6
-3 - 3 = -6
(because -3 is a number in the integers, then it has an additive inverse, also in the integers, of +3).
---
A rational number is simply a number that can be expressed as the "ratio" of two integers. For example, the number 4/7 is the ratio of "four to seven".
It can be written as an endless decimal expansion
0.571428571428571428....(forever), but that does not change its nature, because it CAN be written as a ratio, it is "rational".
Integers are rational numbers as well (because you can always write 3/1, the ratio of 3 to 1, to express the integer we call "3")
The additive inverse of a rational number, written as a ratio, is found by simply flipping the sign of the numerator (top)
The additive inverse of 4/7 is -4/7
and if you ADD those two numbers together, you get zero (as per the definition of "additive inverse")
(4/7) + (-4/7) = 0/7 = 0
If you need to "prove" it, you begin by the existence of additive inverses in the integers.
ALL integers each have an additive inverse.
For example, the additive inverse of 4 is -4
Next, show that this (in the integers) can be applied to the rationals in this manner:
(4/7) + (-4/7) = ?
common denominator, therefore you can factor out the denominator:
(4 + -4)/7 = ?
Inside the bracket is the sum of an integer with its additive inverse, therefore the sum is zero
(0)/7 = 0/7 = 0
Since this is true for ALL integers, then it must also be true for ALL rational numbers.
What is the measure of ∠D ?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠D=
°
Answers
gavin bakes 70 cookies in a hour. how many cookies can he bake in 4 hours?
A.350
B.240
C.280
D.210
Answers
To find out how many cookies Gavin can bake in 4 hours, we multiply the number of cookies he makes in one hour (70) by 4, resulting in 280 cookies.
Explanation:If Gavin bakes 70 cookies in one hour, to calculate the number of cookies he can bake in 4 hours, we simply need to multiply the amount he can bake in one hour by 4. The calculation is as follows:
Multiply the number of cookies baked in one hour (70) by the number of hours (4).70 cookies/hour × 4 hours = 280 cookies.
Therefore, the correct answer is C. 280 cookies.
A parallelogram has an area of
144
144
square centimeters. If the base measures
24
24
centimeters, what is the height?
Answers
Divide 180° in a ratio of 4:5:9
Answers
[tex]\bf \cfrac{180}{4+5+9}\implies 10\qquad \qquad \qquad \qquad \qquad \stackrel{4\cdot 10}{40}~:~\stackrel{5\cdot 10}{50}~:~\stackrel{9\cdot 10}{90}[/tex]
Help with this math question pleaseee!!!
Answers
But in this case the parent function is transformed. It is shifted vertically upward by 4 units. When an exponential function is shifted vertically up or down its asymptote is also shifted by same number of units.
Hence, the asymptote of [tex]f(x)= 3^{x}+4 [/tex] will be shifted 4 units above as compared to the asymptote of [tex]f(x)= 3^{x} [/tex] .Therefore, the asymptote of [tex]f(x)= 3^{x}+4 [/tex] is y=4
Point P' is the image of P(3, 5), under a reflection across the y-axis. What are the coordinates of P'?
Answers
.. P' = (-3, 5)
Answer:
P'( -3 ,5).
Step-by-step explanation:
Given : Point P' is the image of P(3, 5), under a reflection across the y-axis.
To find : What are the coordinates of P'
Solution : We have given
Pre image P( 3 ,5 ).
Rule of reflection over y axis : ( x ,y) →→→( -x , y) .
Here , x = 3 ; y = 5
Then , ( 3 ,5) →→→( -3 , 5) .
Therefore, P'( -3 ,5).
A soft drink manufacturer produces 3408 cans in an 8-hour day. Cans are packaged 24 to a case. How many cases are produced each week? each month? (Assume one week is 40 hours, and one month is four weeks.)
Answers
3408 / 24 = 142 cases per 8 hour day
40 hours / 8 = 5 days
142 * 5 = 710 cases per week
710 * 4 = 2840 cases per month
The data in the table below were obtained for the reaction: a + b → p experiment number [a] (m) [b] (m) initial rate (m/s) 1 0.273 0.763 2.83 2 0.273 1.526 2.83 3 0.819 0.763 25.47 the magnitude of the rate constant is ________.
Answers
Exp [a](m) [b] (m) Initial rate (m/s)
1 0.273 0.763 2.83
2 0.273 1.526 2.83
3 0.819 0.763 25.47
the rate equation
rate = k [a]ˣ[b]ⁿ
where k = rate constant
x and n are order of reaction with respect to a and b respectively
lets take experiment 1 and 2 where [a] is constant so we can find the order of reaction with respect to b
2.83 m/s = k[0.273 m]ˣ[0.763 m]ⁿ ---> 1)
2.83 m/s = k [0.273 m]ˣ[1.526 m]ⁿ ----> 2)
2)/1)
1 = [1.526/0.763]ⁿ
1 = 2ⁿ
n = 0
next we have to find out x, we have to take experiment 1 and 3 where [b] remains constant
25.47 m/s =k [0.819]ˣ[0.763]ⁿ --3)
2.83 m/s = k[0.273 m]ˣ[0.763 m]ⁿ ---> 1)
3)/1)
25.47/2.83 = [0.819/0.273 m]ˣ
9 = 3ˣ
x = 2
therefore order with respect to a = 2 and order with respect to b = 0
rate = k[a]²[b]⁰
to find k lets substitute 1st experiment values
2.83 m/s = k [0.273 m]² [0.763]⁰
k = 2.83/0.0745
k = 37.98 m⁻¹s⁻¹
In this exercise we will use the knowledge of statistics to calculate the value of the constant, so we have to:
[tex]k = 37.98 m^{-1}s^{-1}[/tex]
Recalling how the form of the rate equation is written, we have:
[tex]rate = k [a]^x[b]^n[/tex]
where:
k = rate constant x and n are order of reaction with respect to a and b respectivelyPutting the already known values into the given equation:
[tex]2.83 = k[0.273 m]*[0.763 m]^n \\2.83 = k [0.273 m]*[1.526 m]^n \\1 = [1.526/0.763]^n\\1 = 2^n\\n = 0[/tex]
Now trying to find the value of X in the given equation:
[tex]25.47 =k [0.819]*[0.763]^n\\2.83 = k[0.273]*[0.763]^n\\25.47/2.83 = [0.819/0.273 m]^x\\9 = 3^x\\x = 2[/tex]
Now it will be possible to find the value of the constant as:
[tex]2.83 = k [0.273 m]^2 [0.763]^0\\k = 2.83/0.0745\\k = 37.98 m^{-1}s^{-1}[/tex]
See more about statistics at brainly.com/question/10951564
A rectangular park has an area of 2/3 square mile.The length of the park is 2 2/3 the width of the park.What is the width of the park?
Answers
We know that area of a rectangle is length times width:
A = lw
The length is 2 2/3 the width, so
l = 2 2/3w
We will change this to an improper fraction; multiply the denominator by the whole number and add the numerator:
l = 8/3w
Using this for l in the area formula, we have:
A = (8/3w)(w) = 8/3w²
2/3 = 8/3w²
Divide both sides by 8/3:
2/3÷8/3 = 8/3w²÷8/3
2/3×3/8 = w²
2/8 = w²
0.25 = w²
Take the square root of both sides:
√0.25 = √w²
0.5 = w
A dog sled race is 25 miles long.The equation 5/8 k=25 can be used to estimate the race’s length k in kilometers. Approximately how many hours will it take a dog sled team to finish the race if it travels at an average speed of 30 kilometers?
Answers
average speed of the team is 30 km/h
30 km/m in miles/hour will be:
1 mile=0.621371 km
thus
30 km/h=(30×0.621371) miles/hour
=18.64113 miles/hour
time taken to complete 25 miles will be:
time=distance/speed
=25/18.64113
=1.3411 hours
What is the greatest common factor of 7ab and 8b^3
Answers
Answer:
b
Step-by-step explanation:
The greatest common factor is the largest value two numbers share in common which multiplies to each of the numbers.
7ab has factors 7, a, b
[tex]8b^3[/tex] has factors 2, 4, 8, b, b, b
These share in common b.
Sandy is working with a carpenter to frame a house they are using 8 foot long boards but each board must be cut to be 7 feet 10 3/4 inches long how much is cut off the board
Answers
1 foot= 12 inches
multiply feet by inches to equal total inches
8 ft * 12 inches= 96 inches
7 ft * 12 inches= 84 + 10 3/4= 94 3/4
Subtract the difference:
= 96 - 94.75
= 1.25 = 1 1/4 inches cut off
ANSWER: 1 1/4 inches were cut off
Hope this helps! :)
pls find 5he area of each rectangle thxs
Answers
The area is the product of length and width.
7×10=70
NEED HELP AS FAST AS POSSIBLE
Dan drew the line of best fit on the scatter plot shown below:
A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1 and scale along y axis from 0 to 15 at increments of 1. The ordered pairs 0, 4 and 1, 4 and 2, 5 and 3, 6 and 4, 7 and 5, 9 and 6, 10 and 7, 11 and 8, 13 and 9, 14 and 10, 15 are shown on the graph. A straight line joins the ordered pairs 0, 3 and 10, 15.
What is the equation of this line of best fit in slope-intercept form?
y = 3x + 6 over 5
y = 5 over 6x + 3
y = 3x + 5 over 6
y = 6 over 5x + 3
Answers
Answer:
d
Step-by-step explanation:
y=6/5x+3
The deli scale weighs meat and cheese in hundredths of a pound. Marco put 5/10pound of pepperoni on the deli scale. What weight does the deli scale show?
Answers
So, Marco put 5/10 lb of pepperoni on the scale. The deli scale weighs meat in hundredths.
What would 5/10 be in hundredths?
The answer is, quite simply, 50/100.
Since it is weighed in hundredths, the denominator must be 100. To get a denominator of 100, we must multiply both the numerator and the denominator by 10.
5 × 10 = 50
10 × 10 = 100
The deli scale shows 50/100 lb.
Final answer:
The weight shown on the deli scale for 5/10 pound of pepperoni is 0.5 pounds.
Explanation:
When Marco puts 5/10 pound of pepperoni on the deli scale, the scale which measures in hundredths of a pound will show this weight as 0.50 pounds.
This is because 5/10 can be simplified to 1/2, and when expressed as a decimal, 1/2 is equivalent to 0.5.
Therefore, the deli scale that reads to the hundredths place will display the weight as 0.50 pounds.
two-thirds of the children in the fourth grade class are girls. if there are 14 girls, what is the total number of children in the class
Answers
3/7b, 5/3c, 11/21bc The LCD is
Answers
Please help me with this question. I will give 10 points and brainliest :) I beg you! I need this right!
Answers
I hope this helps! :)