To display the distribution of grades (A, B, C, D, F) in a course, it would be correct to use histogram
a) We note that the given histogram contains a
very large number of bars and that most bars are quite low while also very narrow.
The display is then not appropriate, as the histogram should contain less bars to make the shape in the distribution more obvious.
(b) The distribution of grades is skewed to the left as the highest bars in the histogram are to the right in the graph.
The grades appear to be centered roughly at 170, while the graders vary from about 75 to 190.
Moreover, there appear to be a few outliers in the distribution, as there are gaps between the bars of the histogram.
since Histogram contains too many bars and Left-skewed histogram can be considered to display.
Learn more about histogram here:
https://brainly.com/question/30354484
#SPJ4
A garage ha 2 mechanic. The Bob doe repair correctly on 105 car and
incorrectly on 35 car. Carl doe repair correctly on 51 car and incorrectly on 9 car. If an audit of repair i done, what i the probability that a repair done by the Bob i
done correctly and a repair from Carl wa done incorrectly?
The subject is about finding the joint probability of two independent events: a repair done by Bob being done correctly and a repair done by Carl being done incorrectly.
The answer was determined using the formula for joint probability: P(A and B) = P(A) * P(B), where P(A) is the probability of event A and P(B) is the probability of event B, and A and B are independent events. In this case, event A is a repair done by Bob being done correctly and event B is a repair done by Carl being done incorrectly. The probabilities of each event were calculated by using the number of correctly and incorrectly repaired cars done by each mechanic.
Learn more about Bob & Carl Car Repair P-Calculation here:
https://brainly.com/question/3948203
#SPJ4
if we assume a power-law relation , the linear regression between which two quantities do we need to analyze? (a) vs ; (b) vs ; (c) vs ; (d) vs .
If we assume a power-law relation T = b×aⁿ, the linear regression that needs to be analyzed is : (d) log(T) vs log(a) .
The Linear Regression between the two quantities do we need to analyzed is log(T) vs log(a) because when we take the logarithm of both sides of the power-law equation,
we obtain log(T) = n × log(a) + log(b), which is a linear equation in logarithmic form.
So , By performing linear regression on log(T) vs log(a), we can estimate the values of n and log(b), and then use these estimates to obtain estimates of b and n in the original power-law equation.
The given question is incomplete , the complete question is
If we assume a power-law relation T = b×aⁿ, the linear regression between which two quantities do we need to analyze?
(a) T vs a ;
(b) log(T) vs a ;
(c) T vs log(a) ;
(d) log(T) vs log(a) .
Learn more about Linear Regression here
https://brainly.com/question/17202634
#SPJ4
For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addition, determine the measurement scale.a. Number of students in a classNumber of students in a classb. Satisfaction rating of a cable television provider left parenthesis from low to high right parenthesisSatisfaction rating of a cable television provider (from low to high)c. Time comma in hours comma spent working per monthTime, in hours, spent working per monthd. Where the individual uses social networks to find sought dash after informationWhere the individual uses social networks to find sought-after informatione. Volume of water comma in gallons comma used by an individual showering per month
As per the type of variable, the measurement scale is nominal scale and ratio scale.
The term type of variable is divides as Discrete variables are those that can be counted on the fingers whereas continuous variables are those that cannot be counted on the fingers and may be represented as decimals or fractions.
Here we know that the variable is categorical or numerical.
And here we need to find the variable is discrete or continuous.
a. Number of cellphones in the household is numerical, discrete, ratio scale
b. Length (in minutes) of the longest telephone call made in a month is measured by using the scale numerical, continuous, ratio scale
c. Weather someone in home owns a Wi Fi capable cell phone is measured using categorical, nominal scale
d. Whether there is a high speed Internet connection in household is measured as categorical, nominal scale.
To know more about variable here.
https://brainly.com/question/12711255
#SPJ4
Tyesha is making a medium-length necklace. Write an expression that shows how much it will cost tyesha for the chain, pendant, and b beads that cost $1 each. Then find the total cost of the necklace if tyesha uses 30 beads
THE ANSWER IS 33$ BECAUSE YOU JUST ADD THE BEADS PLUS PENDANT PLUS CHAIN
is k=10/3 is dilated by a scale factor below, the dilation is a reduction or enlargement?
The scale factor of K = 10/3 represents enlargement.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the scale factor of K = 10/3.
For the scale factor of {K} > 1, the dilation is enlargement and for the scale factor of {K} < 1, the dilation is reduction.
Now -
10/3 > 1
So, it represents the enlargement.
Therefore, the scale factor of K = 10/3 represents enlargement.
To solve more questions on algebraic expressions, visit the link below-
brainly.com/question/1041084
#SPJ1
The Debate Club and Math Club are each having a pizza party to celebrate the results of their state competitions. The Debate Club would like to order their pizza from Antonio's
Pizzeria at a cost of $12.10 per pizza and a $5. 25 delivery fee. The Math Club would like to order their pizza from Mamma Mia's Pizzeria at a cost of $11. 75 per pizza and a
C
represents the total cost C, and the number of pizzas, p. Determine how many pizzas each club can order
if both clubs have the same amount of money to spend. Is the solution viable or not viable?
$7.50 delivery fee. The system of equations
12.10p+5.25
C=11.75p+7.50
Part A
Select the correct statement
O Each club can purchase 6.43 pizzas and the solution is viable.
O Each club can purchase 7 pizzas and the solution is viable.
O Each club can purchase 6 pizzas, as 6.43 pizzas is not viable.
Each club does not have enough money to purchase 6 pizzas, the solution is not viable.
Each club can purchase 7 pizzas and the solution is viable.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the system of equations as -
{C} = 12.10p + 5.25
{C} = 11.75p + 7.50
We can write the system of equations as
{C} = 12.10p + 5.25
{C} = 11.75p + 7.50
For the same amount, we will equate both the equations as -
12.10p + 5.25 = 11.75p + 7.50
12.10p - 11.75p = 7.50 - 5.25
0.35p = 2.25
p = (2.25/0.35)
p = 6.4
Therefore, each club can purchase 7 pizzas and the solution is viable.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!!⚠️⚠️⚠️⚠️
When solving an equation, it is important to check for extraneous solutions.
Extraneous solutionsAn extraneous solution is a solution to a problem that does not satisfy the original equation.To check for extraneous solutions, we must first solve the equation.In this case, we have 3√(x-2)-4=20, to which we can add 4 to both sides and divide by 3, so that (x-2)=8.We can then cancel the rational exponent to get x-2= or x-2= x = or x = 10.Finally, we can add 2 to both sides to get x = 12.We must now check for extraneous solutions.To do this, we must make sure that 12 satisfies the original equation.Substituting 12 for x into the original equation, we get 3√(12-2)-4=20.This equation is true, which means that 12 is a valid solution to the problem and that there are no extraneous solutions.To learn more about extraneous solutions refer to:
https://brainly.com/question/2959656
#SPJ1
Which is better, an ACT score of 28 or a combined SAT score of 2100 when
ACT: μ = 21 and σ = 5;
SAT: μ = 1500 and σ = 325
and assume ACT and SAT scores have approximately bell-shaped distributions?
- ACT score of 28
- SAT score of 2100
- I don't know
A better score is the SAT score of 2100 which has an average of 1500 with an SD of 325.
- SAT score of 2100
Now, According to the question:
"Information available from the question"
An ACT score of 28 or a combined SAT score of 2100 when
ACT: μ = 21 and σ = 5;
SAT: μ = 1500 and σ = 325
In order to determine which is a better score, we compare the scores in standard deviation units.
We can convert the score to standard deviation units by subtracting the mean and dividing by the standard deviation.
ACT: (28-21)/5 = 1.2
SAT: (2100-1500)/325 = 1.38
As we see SAT score is better than ACT score as it is 1.38 standard deviation units above the mean, while the ACT score is only 1.2 standard deviation units above the mean.
Hence, SAT score of 2100
Learn more about Standard deviation at:
https://brainly.com/question/23907081
#SPJ4
68 divided by 0.4
Show work please
Please help me you guys
Answer:
Step-by-step explanation:
Kahn acadamy ahe A and D
solve 6x-9=51-4x please
Answer:
x = 6
Step-by-step explanation:
6x-9=51-4x
10x - 9 = 51
10x = 60
x = 6
Let's check
6(6) -9 = 51 -4(6)
36 - 9 = 51 - 24
27 = 27
So, x = 6 is the correct answer.
shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries. x 0 1 2 3 4 f(x) 10 ? 20 ? ? g(x) 10 ? 20 ? ?
The missing entries for f(x) are 20, 30, and 40, and the missing entries for g(x) are 40, 80, and 160.
The missing entries for f(x) can be found by knowing that f is a linear function and using the values given. A linear function has the form f(x) = ax + b, where a is the slope and b is the y-intercept. Since f(0) = 10 and f(1) = 20, we can use these two points to find a and b.
Putting x = 0 in the equation, we get:
f(0) = 10 = a(0) + b
Putting x = 1 in the equation, we get:
f(1) = 20 = a(1) + b
Solving these two equations simultaneously, we find:
a = 10
b = 0
So, the equation for f is:
f(x) = 10x + 0 = 10x
Using this equation, we can find the missing entries for f(x) in the table:
f(2) = 10x = 10(2) = 20
f(3) = 10x = 10(3) = 30
f(4) = 10x = 10(4) = 40
So the missing entries for f(x) are 20, 30, and 40.
To find the missing entries for g(x), we need to know the form of the exponential function g. A common form for exponential functions is g(x) = ab^x, where a is the y-intercept and b is the growth factor. Since g(0) = 10 and g(1) = 20, we can use these two points to find a and b.
Putting x = 0 in the equation, we get:
g(0) = 10 = a(1)^0 = a
So, a = 10.
Putting x = 1 in the equation, we get:
g(1) = 20 = 10b
Solving for b, we find:
b = 2
So, the equation for g is:
g(x) = 10(2^x)
Using this equation, we can find the missing entries for g(x) in the table:
g(2) = 10(2^2) = 10(4) = 40
g(3) = 10(2^3) = 10(8) = 80
g(4) = 10(2^4) = 10(16) = 160
So the missing entries for g(x) are 40, 80, and 160.
To know more about linear function, here
https://brainly.com/question/29634957
#SPJ4
--The given question is incomplete; the complete question is
"The table below shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries. x 0 1 2 3 4 f(x) 10 _ 20 _ _ g(x) 10 _ 20 _ _"--
A recent survey of 2500 college students revealed that during any weekend afternoon, 1480 receive a text message, 920 receive an e-mail and 547 receive both a text message and an e-mail. Suppose a college student is selected at random, what is the probability that he/she neither receives a text message nor an email during any weekend afternoon?
The probability that he/she neither receives a text message nor an email during any weekend afternoon be 0.3000.
What is meant by probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Using the method for the union of two sets, we can calculate the number of students who receive either a text message or an email (or both) based on the above data:
Number of students who receive either a text message or an e-mail = Number of students who receive a text message + Number of students who receive an e-mail - Number of students who receive both
= 1364 + 857 - 470
= 1751
The proportion of students who don't receive either a text message or an email divided by the total sample of students is the probability that a student will not receive either:
P(neither T nor E) = (2500 - 1751) / 2500
= 749 / 2500
= 0.2996
Rounding to four decimal places:
P(neither T nor E) = 0.2996 ≈ 0.3000
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ1
Is it possible to have a triangle with angle 60°,70°,and 50°
Answer:
Yes, it is possible to have a triangle with angles 60°, 70°, and 50°. The sum of the angles must equal 180° in order for a triangle to be formed.
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
To create any possible triangle, all three angle measurements should add up to 180° and the exterior angle should also be equal to the sum of two interior opposite angles!
Multiply the factor and expre the following expreion in implified radical form. (36‾√)(22‾√)(415‾‾‾√)
The expression after multiplying the factors in the form is -573.21.
The provided expression is (-√36)(-√22)(-√415).
We have to multiply the factor and express in the radical form.
Let us solve this step by step and one by one,
(-√36) = -6
Now, for -√22,
-√22 = -4.69
Now, for -√415,
-√415 = -20.37
Now, we have to simply multiply these three values and that will be the radical form,
So,
(-√36)(-√22)(-√415) = -6 x -4.69 x -20.37
(-√36)(-√22)(-√415) = -573.21
So, the expression after simplification is -573.21.
To know more about expressions, visit,
https://brainly.com/question/1859113
#SPJ4
If QR=28 and SV=45 what is TU?
Answer:
QR could be diagonal of a parallelogram.
(if i got it wrong sorry i tried my best)
A quadratic function has x-intercepts at (-6,0) and the origin, and passes through (-5,-5). Write the equation of the quadratic function in standard form.
f(x)=blank
The equation of the quadratic function is:
f(x) = x^2 - 11x + 6
How can we explain it ?The standard form of a quadratic function is given by:
f(x) = ax^2 + bx + c
We can find the values of a, b and c using the three points given in the question:
The x-intercepts of (-6, 0) and (0, 0) give us two equations:
f(-6) = 0 = a(-6)^2 + b(-6) + c = 36a - 6b + c
f(0) = 0 = a(0)^2 + b(0) + c = c
The point (-5, -5) gives us a third equation:
f(-5) = -5 = a(-5)^2 + b(-5) + c = 25a - 5b + c
Solving the system of three equations, we get:
a = 1, b = -11 and c = 6
Thus, the equation of the quadratic function is:
f(x) = x^2 - 11x + 6
What is quadratic equation ?A quadratic equation is a polynomial equation of degree 2 that can be written in the form:
ax^2 + bx + c = 0
where x is an unknown variable and a, b, c are constants. The equation can be solved to find the values of x that satisfy the equation, which are referred to as the roots or solutions of the equation. The roots can be found using methods such as factoring, the quadratic formula, or completing the square.
Learn more about Linear Equation here
https://brainly.com/question/11897796
#SPJ1
Three ferry services A,B and C leave from a same jetty at different intervals. Services A,B and C leaves the jetty once every 8 minutes, 12 minutes and 15 minutes respectively. If the ferries first leave together at 10:15 a.m, when will they next leave together again.
The time that the ferries will leave together next, given the time they leave the jetty would be 12 : 15 pm
How to find the time ?The ferries leave at intervals of 8 minutes, 12minutes, and 15 minutes. To find the time when they will all leave at the same time again, you need to find the lowest common multiple of 8, 12 and 15 as this would show the next time the ferries would be lined up together again.
The lowest common multiple of 8, 12 and 15 is 120 which in minutes is 2 hours.
The next time both ferries would leave together is:
= 10 : 15 + 2 hours
= 12 : 15 pm
Find out more on intervals at https://brainly.com/question/17114509
#SPJ1
if a function n=f(y) gives the number of police officers, n, in a town in year y, then what does f(2020) = 200 tell us?
There were 200 police officers in year 2020.
There were 200 police officers on average each year.
There will be 2020 police officers in 200 years
Not enough information given
The function f(2020) = 200 tells us that there were 200 police officers in the year 2020.
Mathematically, an equation can be described as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
The equation f(2020) = 200 tells us that in the year 2020, there were 200 police officers in the town. The function n = f(y) gives the relationship between the number of police officers, n, and the year, y.
So, when we put in the value of 2020 for y, we get the number of police officers in that year, which is 200.
To know more function, here
https://brainly.com/question/12431044
#SPJ4
What is the constant of proportionality in this proportional relationship?
X 2 2 1/2 3 3 1/2
y 5/2 25/8 15/4 35/8
1. 4/5
2. 5/4
3. 4
4. 5
Answer:
2. 5/4
Step-by-step explanation:
The constant of proportionality in this proportional relationship is the ratio of y to x for any given pair of values. To find it, we can divide the y value by the x value for one of the pairs. For example, using the first pair (x = 2, y = 5/2), we can divide 5/2 by 2 to get the constant of proportionality:
(5/2) / 2 = 5/4
Please help with my math question
Answer:
Below
Step-by-step explanation:
From hour 1 to 2 pay goes from 90 to 120 or 30 dollar increase per hour
slope = rise / run = (120-90) / (2-1) = 30 dollar/hr
Given right triangle ABCABC with altitude \overline{BD}
BD
drawn to hypotenuse \overline{AC}
AC
. If BD=2BD=2 and DC=1,DC=1, what is the length of \overline{AD}?
AD
?
The measure of the length AD will be 4cm.
What is are of triangle?
The area of a triangle is the region enclosed by its sides. The area of a triangle differs from one triangle to another depending on the length of the sides and the internal angles. Triangle areas are expressed using square measurements like m2, cm2, and in2. One right angle or two perpendicular sides are both acceptable for right triangles. They may also be known as orthogonal triangles, right-perpendicular triangles, or originally rectangular triangles. Trigonometry's foundation is formed by the relationship between the sides and other angles of a right triangle.
2 / 1= AD / 2
AD=4 cm
Hence The measure of the length AD will be 4cm.
Learn more about triangle, by the following link
brainly.com/question/17335144
#SPJ1
A pyramid is composed of six isosceles triangles and a hexagonal base. Each isosceles triangle has a height of 6 inches and a base of 8 inches. The area of the hexagonal base is 166.3 square inches.
What is the surface area of the pyramid?
Enter your answer in the box.
The surface area of the pyramid is A = 386.24 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of hexagonal pyramid be represented as A
Surface area of hexagonal pyramid = Area of base + area of lateral surface
Area of the base = 166.3 inches²
Now , the Area of the lateral surface = 3a √ ( h² + ( 3a²/4 ) )
where a = 8 inches
h = 6 inches
Substituting the values in the equation , we get
Area of the lateral surface = ( 3 x 8 ) √ ( 36 + ( 3 x 64 / 4 ) )
On simplifying the equation , we get
Area of the lateral surface = 219.96 inches²
So , Surface area of hexagonal pyramid = Area of base + area of lateral surface
Surface area of hexagonal pyramid A = 166.3 inches² + 219.96 inches²
Surface area of hexagonal pyramid A = 386.24 inches²
Hence , the surface area of hexagonal pyramid is 386.24 inches²
To learn more about surface area of pyramid click :
https://brainly.com/question/15050758
#SPJ1
Find the area of the composite figure below. (semicircle). Round to the nearest tenth. Use π = 3.14
Answer:
233.5
Step-by-step explanation:
1) Find the area of the rectangle
Area of rectangle = l × w12 × 11 = 1322) Find the area of the triangle
Area of triangle = (l × w) ÷ 2L = 20 - 11 = 99 × 12 = 108108 ÷ 2 = 543) Find the area of the semicircle
Area of semicircle = (πr²) ÷ 2Radius = diameter ÷ 2 = 11 ÷ 2 = 5.5πr² = 3.14 × 5.5² = 94.98594.985 ÷ 2 = 47.49254) Add the results together
132 + 54 + 47.4925 = 233.49255) Round the nearest tenth
233.4925 = 233.5Have a lovely day :)
Brandon take a rectangular piece of fabric and make a diagonal cut from one corner to the oppoite corner. The cut he make i 13 inche long and the width of the fabric i 5 inche. What i the fabric' length?
The length of the fabric which Brandon formed a rectangle, is 11 inches.
To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:
[tex]L^2 + 5^2 = 13^2[/tex]
where L is the length of the fabric.
Solving for L, we get:
[tex]L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.[/tex]
Learn more about the Pythagorean theorem here:
https://brainly.com/question/231802
#SPJ4
THE PROBABILITY OF HOTTER DAY IS 55% AND OF COLDER IS 25%. WHAT IS THE PROBABILITY OF NOT BE THE SAME TEMPERATURE?
Answer:
The probability of not being the same temperature would be 100% - (55% + 25%) = 20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
so the probability of whole is 100%
which means the un same day is 55%+25%=80%
so we just use 100% to minus 80%=20%
i hope this helps
At 2.4×10^8 years old, the Nyasasaurus parringtoni may be the oldest known dinosaur that lived on Earth. How many millions of years old is it?
Answer:
240000000
Step-by-step explanation:
2.4x100000000=240000000
Help, please !!!!!!!!!!!!!!!
The required longest hike executed by the family is 2 hours.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
From the table,
Hike 1 took 1 2/4 hours which is equivalent to 1.5 hours.
Similarly
Hike 2 = 1.75 hours
Hike 3 = 2 hours
Hike 4 = 1.75 hours
Hike 5 = 1.5 hours
Hike 6 = 1 hours
Thus, the required longest hike executed by the family is 2 hours.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
The speed of sound is 1236km/h
how many meters per second
Answer:
343 meters per second (3 sf)
Step-by-step explanation:
1236km/h is basically 1236km per hour.
1km = 1000 meters
1h = 60 minutes
1m = 60 seconds
Using these rules, we can convert the kilometers and hour to meters and minutes and then to seconds.
---
1236km = 1236*1000
= 1 236 000m
---
1h --> 1 236 000m
60m --> 1 236 000m
1m --> 1 236 000/60 = 20 600m
60s --> 20 600m
1s --> 20 600/60 = 343m (3 sf)
There are 343 (3 sf) meters per second.
What is -2/3 x (-4/8) in simplest form?
Answer: 2/3
Step-by-step explanation:
First you multiply both numerators which equals 8
Then, you multiply the denomerators which is 24
This gives you 8/24
Since both 8 and 24 are divisible by 8, you divide them by 8 and you get 1/3
Since two negative numbers equal a positive one, the answer is positive
