I've never even seen a box and whiskers plot before!! Should be pretty straight forward though. Thanks!
Answers
25% of 24 students= 6 students
Final answer: 6 students
The left whisker ending, which is at 35, signifies the minimum.
The right whisker ending, which is at 99, signifies the maximum.
The middle line, at 68, is the median.
And the edge of the box on the left, at 50, is the First Quartile. (If you don't know what that is, basically the marker in between the first quarter and the second quarter)
And the edge of the box on the right is the Third Quartile, (Same thing except in between the third quarter and fourth)
So since the question is asking how many students scored better than an 85, and we know that 85 is the third quartile here, we know that 1/4 of the students scored better than an 85.
(So basically each section is 1/4 of the data set)
And 1/4 of 24 is 6.
So 6 students scored better than an 85.
Related Questions
The sum of two consecutive odd integers is 244. what is the smaller integer? (1 point) 119 125 123 121
Answers
x + x + 2 = 244
2x + 2 = 244
2x = 244 - 2
2x = 242
x = 242/2
x = 121
x + 2 = 121 + 2 = 123
ur numbers are 121 and 123 with the smallest one being 121
Evaluate the expression 8√8.41 +1.8
Answers
The value of the expression is 25
What is an expression?An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.
Given is an expression, 8√8.41 +1.8
8√8.41 +1.8
= 8×2.9 + 1.8
= 23.2 + 1.8
= 25
Hence, the value of the expression is 25
For more reference on expressions, click;
https://brainly.com/question/14083225
#SPJ2
The approximate value of the expression [tex]\( 8\sqrt{8.41} + 1.8 \)[/tex] is 25.016.
To evaluate the expression [tex]\( 8\sqrt{8.41} + 1.8 \)[/tex], follow these steps:
1. First, approximate the square root of 8.41. The square root of 8.41 is approximately 2.902, because [tex]\( 2.902^2 \approx 8.41 \)[/tex].
2. Now, multiply this approximate square root by 8:
[tex]\[ 8 \times 2.902 \approx 23.216 \][/tex]
3. Finally, add 1.8 to this result:
[tex]\[ 23.216 + 1.8 \approx 25.016 \][/tex]
Therefore, the approximate value of the expression [tex]\( 8\sqrt{8.41} + 1.8 \)[/tex] is 25.016.
The answer is: 25.016.
I gave 3 packs of baseball cards to my friends. Each friend got 1/3 of a pack. How many friends got baseball cards
Answers
(3/1)*(3/1)=9 friends
Humans can hear sounds with frequencies up to 20,000 Hz, while dolphins can hear sounds as high as 150,000 Hz. Write these numbers in scientific notation.
Answers
150,000 Hz = 1.5 × 10^5 Hz
Humans can hear up to 20,000 Hz, written as 2.0 x 10⁴ Hz in scientific notation, while dolphins can hear up to 150,000 Hz, written as 1.5 x 10⁵ Hz.
Humans can hear sounds with frequencies up to 20,000 Hz, while dolphins can hear sounds as high as 150,000 Hz. These numbers can be written in scientific notation as follows:
20,000 Hz = 2.0 x 10⁴ Hz
150,000 Hz = 1.5 x 10⁵ Hz
Writing these frequencies in scientific notation helps simplify and understand large numbers easily.
The length of rectangle is 6 feet greater than the width. the perimeter is 40 ft. find the dimensions of the rectangle.
Answers
if L is 6 great than W
L=6+W
and P=40
subsitute 40 for P and 6+W for l
40=2(6+W+W)
40=2(6+2W)
divide both sides by 2
20=6+2W
minus 6 both sides
14=2W
divide both sides by 2
7=W
W=7
sub back
L=6+W
L=6+7
L=13
the rectangle has a length of 13ft and width of 7ft
If the length of a rectangle is 6 ft greater than the width and the perimeter is 40 ft , then the dimensions of the rectangle will be 6ft x 7ft.
What is the Area of Rectangle?
The area of the rectangle is length times of width.
Let the Length and Width of the rectangle be 'L' and 'B' , then the dimensions of the rectangle will be L x B
Given data , we have L = 6 + B
The perimeter of the rectangle = 40 ft
= 2 x ( L + B ) = 40 ft
= 2 x ( 6 + B + B ) = 40 ft
= ( 6 + 2B ) = 20 ft
Substract both sides by 6
2B = 14 ft
Divide both sides by 2
B = 7 ft
Now , Length of the rectangle will be L = 6 + 7 = 13 ft
Hence, the dimensions of the rectangle is Length x Width = 13 ft x 7 ft
To learn more about rectangle click :
https://brainly.com/question/14037988
#SPJ5
Anybody know this one?
Answers
Circle the letters of the parallel lines.
a. y = - 2/3 x +2
b. y = 2/3 x + 2
c. y =
Answers
----------------------------------------------
Parallel lines have equal slopes. Each answer choice is in the form y = mx+b which is slope intercept form. For choices B and D, we see the slope is m = 2/3. This is why these lines are parallel. The other choices have different slopes (m = -2/3 for choice A; m = 3/2 for choice C)
Perform the indicated operation. 5 1/6 – 2 2/3
2 1/3
2 1/2
2 1/6
Answers
5 1/6 - 2 2/3
convert to improper fractions:
5 1/6 = 31/6
2 2/3 = 8/3
find common denominator:
8/3 = 16/6
31/6 - 16/6 = 15/6
15/6 = 2 3/6 = 2 1/2
= 5 1/6 - 2 4/6
= 4 7/6 - 2 4/6
= 2 3/6
= 2 1/2
answer
2 1/2
What radius of a circle is required to inscribe an equilateral triangle with an area of 15.588 in2 and an altitude of 5.196 in? (round to nearest tenth)
Answers
Area of triangle = 1/2 base x height
15.588 = 1/2 * base x 5.196
15.588 = base x 2.598
base = 15.588 / 2.598 = 6
equi center of triangle = 1/3*5.196 = 1.732
radius of circle = Sqrt(1.732^2 + 3^2) =
sqrt (2.999824 +9) =
sqrt(11.999824) = 3.464
rounded to nearest tenth = 3.5 inches
The radius of the circle required to inscribe an equilateral triangle with the given dimensions is; radius = 3.5 inches
Usually, when we inscribe an equilateral triangle in a circle, the distance from the centroid of that triangle to one of the vertices is;
Centroid distance to vertex = ²/₃h
Where h is the altitude of the triangle.
We are given altitude = 5.196 in
Thus;
Centroid distance to vertex = ²/₃(5.196)
⇒ 3.464 inches
Approximating to the nearest tenth gives;
Centroid distance to vertex = 3.5 inches
Now, the distance from centroid to vertex of the inscribed equilateral triangle is also the radius of the circle.
Thus; radius = 3.5 inches
Read more at; https://brainly.com/question/9854426
Just wanna check my answers...find (f+g)(x) if f(x)=3x-7 and g(x)=x^2+3x-4
Answers
3x-7+x^2+3x-4
x^2+6x-11
Final answer: x^2+6x-11
The difference of two supplementary angles is 32 degrees. what are the angles
Answers
180-32=148 hope this helps
Let x and y define the two angles, and let's say x is the larger of the two angles
We can write two equations:
x+y = 180 (definition of supplementary angles)
x-y = 32 (given)
Add the equations together to eliminate y:
------------
2x = 212 [divide both sides by 2]
x=106
The other angle is 180-106 = 74
You have a coordinate grid that is 96 x 96. assuming that you encode the x and y coordinate as separate numbers, what is the minimum number of bits that you will need to encode a coordinate in that space?
Answers
To encode a separate x and y coordinate on a 96 x 96 grid, you would need a minimum of 7 bits to represent each coordinate. This is because the nearest power of 2 above 96 is 128, which is 2^7.
Explanation:The subject of this question deals with using binary numbers, or bits, to store data in two-dimensional space, such as with a coordinate grid or a digital image. In this specific case, a coordinate grid with a size of 96 by 96. When encoding the x and y coordinate as separate numbers, we are trying to represent numbers from 0 to 96, so we have 97 different values to represent.
To calculate how many bits you need to store an integer, the question becomes: how many powers of 2 (bits) does it take to store that many different values? The closest power of 2 greater than 96 is 128, which is 2 to the seventh power (2^7). Therefore, you would need a minimum of 7 bits to store a coordinate in that space.
Learn more about Bits here:https://brainly.com/question/37032504
#SPJ12
Elizabeth brought a box of donuts to share. there are two-dozen (24) donuts in the box, all identical in size, shape, and color. threethree are jelly-filled, 55 are lemon-filled, and 1616 are custard-filled. you randomly select one donut, eat it, and select another donut. find the probability of selecting a custardcustard-filled donut followed by a jellyjelly-filled donut.
Answers
I need help on number 97 please
Answers
since gecko is 1/ the length of an iguana,
that would mean iguanas are twice as long as geckos
so 4*2 = 8 inches for iguanas
Solve 1/r =1/r1+1/r2 for R
Answers
---------
r1r2
r = r1r2
-----------
r2 + r1
The solution of an equation 1/r =1/r1+1/r2 for R is r = r1 r2/(r1 + r2).
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
We have been given a equation as
1/r = 1/r1 + 1/r2
Let r1 = x and r2 = y for an instance, then solve for equivalent r.
Therefore,
1/r = 1/x + 1/y
Solving further;
1/r = (y + x)/xy
Or
r = xy/(x +y)
Now substitute the real values of x and y, we get;
r = xy/(x +y)
r = r1 r2/(r1 + r2)
Hence, The solution of an equation 1/r =1/r1+1/r2 for R is r = r1 r2/(r1 + r2).
Learn more about solving equations here:
https://brainly.com/question/13072448
#SPJ2
Which is correct regarding the statement: “If x is an odd integer, then the median of x , x + 2, x + 6, and x + 10 is an odd number”
A.) the statement is sometimes true
B.) the statement is always false
C.) the statement is always true
D.) there is not enough information provided to answer the question
Answers
x+2 is also odd (consider the example x = 3 so x+2 = 3+2 = 5). Adding 2 to any odd number is always odd
Similarly, so is x+6 (since we have x+2+2+2).
And so is x+10 (x+2+2+2+2+2).
So every value in this list is an odd number. The middle most values are x+2 and x+6 which are both odd.
Adding any two odd numbers together yields an even number. For example 3+5 = 8. Divide this even number in half and we may or may not get an odd number (eg: 8/2 = 4 and 6/2 = 3)
So this statement is sometimes true
the median will be the middle number, if there are 2, then it is the average of the 2 middle numbers when they are arranged in increasing order
we can see that there are 4 numbers, the middle 2 are x+2 and x+6
the average of those is (2x+8)/2=x+4
if x is odd, then we can replace x with 2n+1
2n+1+4=2n+4+1=2(n+4)+1, and n+4 is an integer so that is an odd result, bein 2(n+4)+1 is the same as 2m+1 where m is an integer
the statement is always true
C is answer
Find all solutions to the equation 2sinθ-sqrt3=0 write your answer in radians in terms of π
Answers
Determine whether each variable is qualitative, continuous, or discrete. size is a ▼ variable. screen type is a ▼ variable. number of channels availablenumber of channels available is a ▼ qualitative discrete continuous variable.
Answers
screen type is qualitative
number of channels available is discrete
Size is a continuous variable that can take on any value within a finite or infinite interval. Screen type is a qualitative variable that describes a characteristic of the data. Number of channels available is a discrete variable because it can only take on countable, distinct values.
Explanation:In statistics, variables can be classified into different types. Size would be a continuous variable because it can take on any value within a finite or infinite interval. For example, the size of a TV screen can be 32.1 inches, 32.2 inches, 32.25 inches, and so on. On the other hand, screen type would be a qualitative variable because it describes a quality or characteristic of the data, such as LED, LCD, or Plasma. Finally, number of channels available is a discrete variable because it can only take on countable, distinct values. For instance, you could have 200, 300, or 400 channels, but not 300.5 channels.
Learn more about Variable Types here:https://brainly.com/question/34138272
find the measure of an angle between 0 and 360 coterminal with an angle of -271 in standard position. a. 181 b. 271 c. 89 d. 91
Answers
360° - 271° = 89° (answer c)
Answer:
C) 89 degrees
Step-by-step explanation:
Given:
The given angle is -271. which is standard position
We have to subtract 271 from 360 to find the required angle.
= 360 -271
= 89 degrees.
The answer is C) 89 degrees
Hope this will helpful.
Thank you.
A company produces two products, A and B. At least 30 units of product A and at least 10 units of product B must be produced. The maximum number of units that can be produced per day is 80. Product A yields a profit of $15 and product B yields a profit of $8. Let a = the number of units of product A and b = the number of units of product B. What objective function can be used to maximize the profit?
Answers
Let b = units of B produced
At least 30 units of product A and 10 units of product B are required daily, and the maximum number of units per day should not exceed 80.
Therefore
a ≥ 30
b ≥ 10
a + b ≤ 80
Product A yields a profit of $15 and product B yields a profit of $8.
Therefore the objectve profit function is
P(a,b) = 15a + 8b
Answer:
The objective function is
P(a,b) = 15a + 8b, subject to
a >= 30; b>= 10; a+b <= 80
Create a graph that displays the constraints and calculates maximum profit at the boundary points. The solution region is shaded.
The maximum profit occurs when a=70 and b=10.
is the answer
please help me thanks!!
Answers
for the first one, you are adding angles, and for the second, i believe it was suppose to be subtraction
hope this helps
Find a number such that one-half of the number is 2 less than two-thirds of the number
Answers
Half of the number (x), is equal to 2 less than 2/3rds of the number:
0.5x = (2/3)x -2
1.5x = 2x - 6
-0.5x = -6
0.5x = 6
x = 12
So a number that such that statement is true is 12.
Two or more expressions with an Equal sign is called as Equation. The number is 16 in sentence one-half of the number is 2 less than two-thirds of the number
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
We x be the unknown number which we have to find.
Given,
one-half of the number is 2 less than two-thirds of the number
Which is one-half of the number is x/2
2 less than two-thirds of the number is 2/3 x-2
So let us form a equation
x/2 = 2x/3-2
x/2=(2x-6)/3
Apply cross multiplication
3x=2(2x-6)
Use distributive law on RHS
3x=4x-16
16=4x-3x
16=x
Hence the number is 16 in sentence one-half of the number is 2 less than two-thirds of the number
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
help. what's 400-20 + 40 divided by 2 + 210 = ?
Answers
Answer:
420
Step-by-step explanation:
400 - 20 = 380 + 40 = 420 ÷ 2 = 210 + 210 = 420.
Hey there!
400 - 20 + 40 ÷ 2 + 210
400 - 20 = 380
380 + 40 ÷ 2 + 210
40 ÷ 2 = 20
380 + 20 + 210
380 + 20 = 400
400 + 210 = 610
Answer: 610 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
At the family reunion there were 15 more family members there this year than at the last family reunion. There were 46 people at this year’s family reunion. How many family members came to the last family reunion? Write a paragraph explaining what strategy or strategies could be used to solve this problem. Be sure to include a way in which a variable equation could be implemented:
Answers
To find x, we just use opposite operation to get the answer. Opposite of addition is subtraction so, we subtract the number of more people and the reunion this year from the total number of people at the reunion to get the unknown number of people at the reunion last year. 46-15 is 31. Therefore we know that 31 people were at the reunion last year
31 people came last year, I know this because I removed 15 from 46 which equals to 31. This can be done in many ways either by subtraction or by finding the value of x. So, we all know that 31+x = 46 to find the value of x we have to add 15. So, 31+15 = 46 therefore the answer is 31 people came last year.
Hope this helps!
Samir begins riding his bike at a rate of 6 mph. Twelve minutes later, Chris leaves from the same point and bikes along the same route at 9 mph. At any given time, t, the distance traveled can be calculated using the formula d = rt, where d represents distance and r represents rate. How long after Chris begins riding does he catch up to Samir?
Answers
Answer: After 24 minutes Chris begins riding so, he catch up to Samir.
Step-by-step explanation:
Since we have given that
Speed of Samir riding his bike = 6mph
Speed of Chris riding his bike = 9 mph
Time taken by Chris be x
Time taken by Samir be x+12
AS we have given that at any given time ,t, the distance traveled can be using the formula " d=rt "
where d means distance and r represents rate.
So, our equation becomes,
[tex]9x=6(x+12)\\\\9x=6x+72\\\\9x-6x=72\\\\3x=72\\\\x=\frac{72}{3}=24\ minutes[/tex]
As there is no need to change mph into miles per minutes as applying both will nullify the effect.
Hence, after 24 minutes Chris begins riding so, he catch up to Samir.
|+2|=4 Solve the equation step by step
Answers
2 = 4
Not true.
If g(x) = 3x is graphed on a coordinate plane, what is the y-intercept of the graph?
A. 0
B. 1
C. 2
D. 3
Answers
The y - intercept of the line is 0.
We have f(x) = 3x
We have to find the y - intercept of this function f(x).
What is the general equation of a straight line ?The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to question, we have -
f(x) = 3x
or
f(x) = 3x + 0
Comparing it with the general equation of a straight line, we get -
y = f(x)
m = 3
c = 0
Here, c is the y - intercept of the line f(x) = 3x.
Hence, the y - intercept of the line is 0.
To solve more questions on Straight lines, visit the link below -
https://brainly.com/question/28091452
#SPJ2
The measure of an angle is 1414 the measure of its complement. find the measure of each angle.
Answers
The angle is 14 times its complement, resulting in one angle being 84 degrees and its complement being 6 degrees, following the principle that complementary angles sum up to 90 degrees.
Explanation:The question mentions that the measure of an angle is 1414 times the measure of its complement. However, this seems to be a typo, and the correct interpretation might be that the angle is 14 times the measure of its complement. First, let's clarify that complementary angles sum up to 90 degrees. If we call the angle A and its complement C, then A = 14C. Knowing that A + C = 90, we can substitute the first equation into this to find C.
To find the measure of the angles, let's denote the measure of one angle as x and the measure of its complement as 90 - x (complementary angles add up to 90 degrees).
Given that x = 14 times the measure of its complement, we can set up the equation x = 14(90 - x) to solve for x. By solving this equation, we find that x = 70 degrees and 90 - x = 20 degrees. Therefore, the measure of the angle is 70 degrees and the measure of its complement is 20 degrees.
Therefore, A + C = 90 becomes 14C + C = 90, simplifying to 15C = 90. Solving for C gives C = 90 / 15, which equals 6 degrees. Subsequently, A, being 14 times C, is 14 * 6 = 84 degrees. Thus, the two angles are 84 degrees and 6 degrees.
A fair coin is tossed 100,000 times. the number of heads is recorded. what is the probability that there are between 49,800 and 50,200 heads?
Answers
Using normal approximation: mean = 50,000, standard deviation = 500. Calculate Z-scores, find probabilities, and subtract. Result ≈ 0.3108.
To find the probability of getting between 49,800 and 50,200 heads when a fair coin is tossed 100,000 times, we can use the normal approximation to the binomial distribution since the number of trials is large.
The mean (μ) of a binomial distribution is given by n*p, where n is the number of trials and p is the probability of success (getting heads for a fair coin). In this case, n = 100,000 and p = 0.5, so μ = 100,000 * 0.5 = 50,000.
The standard deviation (σ) of a binomial distribution is given by sqrt(n*p*(1-p)). For this problem, σ = sqrt(100,000 * 0.5 * 0.5) = sqrt(25,000) = 500.
Now, we can use the normal distribution to approximate the probability of getting between 49,800 and 50,200 heads:
Z1 = (49,800 - μ) / σ = (49,800 - 50,000) / 500 = -0.4
Z2 = (50,200 - μ) / σ = (50,200 - 50,000) / 500 = 0.4
Now, we look up the corresponding probabilities for Z1 and Z2 in the standard normal distribution table (or use a calculator):
P(Z < -0.4) ≈ 0.3446
P(Z < 0.4) ≈ 0.6554
So, the probability of getting between 49,800 and 50,200 heads is approximately P(49,800 ≤ X ≤ 50,200) = P(-0.4 ≤ Z ≤ 0.4) = P(Z < 0.4) - P(Z < -0.4) ≈ 0.6554 - 0.3446 ≈ 0.3108.
Therefore, the probability is approximately 0.3108.
Find the sum of (x+5)and(2x+3)
Answers
Answer:
3x + 8
Step-by-step explanation:
We have to find the sum of (x+5)and(2x+3).
Write it in sum form
x+5+2x+3
Group the like terms first.
(x+2x)+(5+3)
Combine the like terms
(1+2)x+8
= 3x +8
Therefore, the sum is 3x + 8
The sum of (x+5) and (2x+3) is calculated by adding the coefficients of like terms, which results in 3x + 8.
Explanation:To find the sum of (x+5) and (2x+3), you simply need to add the like terms. The first step is to add the terms that contain the variable x, and then add the constant terms.
Step 1: Add the x terms together: x + 2x = 3x.
Step 2: Add the constant terms together: 5 + 3 = 8.
Step 3: Combine the results from step 1 and step 2 to get the final sum: 3x + 8.
Therefore, the sum of (x+5) and (2x+3) is 3x + 8.