The mean exam score for the first group of twenty examinees applying for a security
job is 35.3 with a standard deviation of 3.6.
The mean exam score for the second group of twenty examinees is 34.1 with a
standard deviation of 0.5. Both distributions are close to symmetric in shape.
a. Use the mean and standard deviation to compare the scores of the two groups.
b. The minimum score required to get an in-person interview is 33. Which group
do you think has more people get in-person interviews?
Answers
The mean exam score of the first group is [tex]35.3[/tex]
The mean exam score for the second group is [tex]34.1[/tex]
but [tex]35.3[/tex] is greater than [tex]34.1[/tex]
Standard deviation of the first group is [tex]3.6[/tex]
Standard deviation of the second group is [tex]0.5[/tex]
but [tex]3.6[/tex] is greater than [tex]0.5[/tex].
(a) We can draw a conclusion that the score of the second group is more evenly distributed.
(b) The second group has more people get in - person interviews because [tex]3.6\geq 0.6[/tex], so the scores of the exam for the second group are all close to 34.1. On the contrary, the score of exams for the first group is extreme polarization.
Mean: The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.Standard deviation: The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a database is in relation to its mean.To learn more about mean and standard deviation, click on the link given below:
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Related Questions
a train is travelling at a speed of 90 miles per hour. the driver of the train plans on maintaining this speed for the next 120 miles, plus or minutes 15 miles. find the minimum and maximum numbers of hours the train will travel at that speed.
Answers
The minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5
How to find the minimum and maximum numbers of hours the train will travel at that speed?The given parameters are
Speed = 90 miles per hour
Current speed = next 120 miles, plus or minutes 15 miles.
Let the time travelled be x
So, we have the following equation
Speed * Time = Distance
This gives
|90x - 120| =15
Remove absolute bracket
90x - 120 = ±15
Add 120 to both sides
90x = 120 ±15
This gives
90x = (120 - 15, 120 + 15)
Evaluate
90x = (105, 135)
Divide by 90
x = (1.17, 1.5)
Hence, the minimum and maximum numbers of hours the train will travel at that speed are 1.17 and 1.5
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I NEED HELP FAST PLEASE‼️‼️
SIMPLIFY TO SIMPLEST FORM‼️
Answers
Answer:
1/2
Step-by-step explanation:
-put 3/8 and 3/4 side-by-side.
-keep 3/8
-change the division sign to a multiplucation sign
-flip 3/4 to 4/3
-multiply
Suppose that both of the events you have just analyzed are partly responsible for the decrease in the price of hamburgers. Based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the decrease in the price of hamburgers?.
Answers
If there is an increase in the equilibrium quantity of hamburgers, the supply shift in the market must have been greater than the demand shift.
Assuming that all demand-shift factors remain constant, the hamburger demand curve illustrates the relationship between hamburger price and quantity required by consumers. The factors influencing how many hamburgers consumers desire to purchase at a particular price are known as demand determinants.
If the price of hamburgers increases, the demand curve will move from the previous price to the new price. However, if any of the demand-shift variables change, such as the cost of hot dogs, the cost of hamburger buns, or the income of hamburger consumers, the demand curve will alter.
Demand is where the demand curve is located. Demanded quantity is the volume that customers want to purchase.
The position of the supply curve is referred to as supply. The quantity of supplies you desire to sell is referred to as the quantity supply.
In this instance, an increase in supply will result in a fall in the equilibrium price and a movement all along the demand curve. The quantity demanded changes, while the demand curve does not.
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Rewrite: [tex]15\frac{1}{6}[/tex]% as a decimal. Round to the nearest thousandths.
Answers
Answer:
15.17
Step-by-step explanation:
Multiply whole number by denominatorAdd product to the numeratorDivide the sum by the denominatorRound your number to the neaests thousandthfrom the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 26°. how far is the ship from the base of the lighthouse? (round your answer to the nearest foot.)
Answers
The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.
What is Angle Of Depression?The angle of depression is the angle formed by the horizontal line and the horizontal line's observation of the item. When we know the angles and the distance of an object from the ground, it is primarily utilized to find the distance between the two objects.Given:
Height of lighthouse = 160 feetAngle of depression = 26°To find: Distance of ship from the base of the lighthouse.
Finding:
Let 'x' be the distance of the ship from the base of the lighthouse and θ be the angle of depression.
Then, tanθ = [tex]\frac{160}{x}[/tex]
=> x = [tex]\frac{160}{tan26}[/tex]
=> x = [tex]\frac{160}{0.487}[/tex]
=> x = 328.54m
Hence, The distance of ship from the base of the lighthouse is 328.54m, as found with the help of angle of depression.
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An ice cream store recorded the flavors of its recent cone sales.
chocolate 10
cookie dough 6
mocha 20
vanilla 8
Considering this data, how many of the next 99 cones sold would you expect to have mocha ice cream?
Answers
7. The top of a tree is 35 feet above ground level. The roots reach down 22 feet below ground
level. What is the difference between the top of the tree and the bottom of the roots?
Answers
Answer:
57?
Step-by-step explanation:
35-(-22)
3+9(5)
8
2 is equal to
Answers
Answer:768
Step-by-step explanation:
What is the 4th term in the following expression?
-2 - 5x -7 - 9x
Answers
The value of the expression is -65.
How to compute the expression?It should be noted that the function given is illustrated as:
-2 - 5x -7 - 9x
In this case, you've to put the value of x as 4.
This will be:
= -2 - 5x -7 - 9x
= -2 - 5(4) - 7 - 9(4)
= -2 - 20 - 7 - 36
= -65
Therefore, the value of the expression is -65.
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(PLEASE HELP) -5 - (-5/3)
Answers
Answer:
steps
-5-5(-5/3)
=-5-(-25)
=10/3
=3 1/3
Step-by-step explanation:
try these using the above pattern, find the value of the following. (i) 73 – 63 (ii) 123 – 113 (iii) 203 – 193 (iv) 513 – 503
Answers
The value of the given question by using the above pattern is (i)127, (ii)397, (iii)1141, (iv)7651.
What do you mean by pattern?In the real world, in artificial design, or in abstract concepts, a pattern is a regularity. As a result, a pattern's components repeat in a predictable way. Any of the senses can directly witness patterns, which are types of patterns made of geometric shapes and frequently repeated like wallpaper designs. On the other hand, abstract patterns in science, math, or language might only be visible through analysis. In actuality, direct observation entails recognizing visual patterns, which are common in both nature and art. Natural visual patterns are frequently chaotic, hardly ever precisely repeat, and frequently contain fractals. Spirals, meanders, waves, foams, tilings, fissures, and patterns produced by rotational and reflective symmetries are examples of natural patterns.
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Pls help I dont get this
Answers
Answer:
Step-by-step explanation:
if the discounted price is 14 how much money dose one section represent
Answers
The price of one section represent $2.
We will use the tape diagram to represent the sale price and regular price of the item.
We know that percentage is used to represent the fractions of a whole number.
Here, the regular price is the whole number, and the discount and discounted price represent the fractions.
The coupon she used is 30%, which means 30% off the regular price is the discounted price. We know that 30% + 70% = 100%. This means Mia paid 70% of the regular price for the backpack.
Refer to the attached image for the tape diagram.
By looking at the tape diagram attached, it is clear that 7 sections are used to show the discounted price.
If the discounted price is $14,
The price of one section = $14/7 = $2
Therefore, the price of one section is $2.
⇒The regular price = 10 × price of one section = 10 × $2 = $20.
So, Peter needs to pay $20 to buy a similar backpack.
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Disclaimer:
The given question is incomplete.
Assume the following as the complete question.
Mia told Peter that her new backpack only cost $14 because she used a 30% off coupon when she bought it. Peter wants to buy a similar backpack. How much will it cost if he does not have a 30% off coupon?
Ethan works in a department store selling clothing. He makes a guaranteed salary of $500 per week, but is paid a commision on top of his base salary equal to 25% of his total sales for the week. How much would Ethan make in a week in which he made $1250 in sales? How much would Ethan make in a week if he made xx dollars in sales?
Answers
Ethan makes in a week = $812.5
Given :
Total sales for the week = $1250
a guaranteed salary = $500
paid a commission on top of his base salary (Percentage commission) = 25%
Time and work problem:
Work Done = Time Taken × Rate of Work
Rate of Work = 1 / Time Taken
Time Taken = 1 / Rate of Work
If a piece of work is done in x number of days, then the work done in one day = 1/x
Total Wok Done = Number of Days × Efficiency
Efficiency and Time are inversely proportional to each other
X:y is the ratio of the number of men who are required to complete a piece of work, then the ratio of the time taken by them to complete the work will be y:x
Solution :
Amount of commission earned = 25% of $1250
= 25/100 × $1,250
= 0.25 × 1250
= $312.5
Total earnings = Base salary + Amount of commission earned
= $500 + $312.5
= $812.5
Ethan makes in a week = $812.5
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Select the correct answer. What is this expression in simplified form? 2√2-7√18 OA 18√5 OB. 84√2 OC. 84 OD. 14sqrt6
Answers
The expression in simplified form is -19√2
How to write this expression in simplified form?The expression is given as:
2√2 - 7√18
Express 18 as 9 * 2
So, we have:
2√2 - 7√18 = 2√2 - 7√(9 * 2)
Take the square root of 9
2√2 - 7√18 = 2√2 - 7 * 3√2
This gives
2√2 - 7√18 = 2√2 - 21√2
Evaluate the difference
2√2 - 7√18 = -19√2
Hence, the expression in simplified form is -19√2
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2. Cassie finishes softball practice at 3:52 p.m. after practicing for 30 minutes. What time did Cassie's
practice start?
Answers
Answer:
3:22!
Step-by-step explanation:
Answer:
3:22 p.m.
Step-by-step explanation:
30 minutes before 3:52 p.m.
think of hours and minutes separately for now
3hours
52 minutes
if you are trying to find the time 30 minutes before 3:52 subtract 30 from 52 then put your hours and minutes side by side with a colon (:) in between
3:22
Add a.m. if its after midnight and p.m. if it's after noon
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answers
Answer:
x=17/99
Step-by-step explanation:
Lets break this problem down ^^
Let x= 0.171717...
100x = 17.1717...
100x=17.1717.. - x=0.171717...
99x=17
x= 17/99
Hope this helps!! ^^
How many lines appear in a square
Answers
Answer: 4?
Step-by-step explanation:
The inverse of f(x)=9x^2
Answers
Given function:
f(x) = 9x²Let the inverse is y = f⁻¹(x).
Swap x and y in the given function and solve for y:
x = 9y²y² = x/9y = √(x/9)y = √x / 3The inverse of the given function is:
f⁻¹(x) = √x / 3Answer:
f-¹(x) = √(x)/3
Step-by-step explanation:
Now we have to,
→ find the inverse of f(x)=9x²
Then the inverse function will be,
→ f(x) = 9x²
→ y = 9x²
→ 9y² = x
→ y² = x/9
→ y = √(x/9)
→ [ y = √(x)/3 ]
Hence, the inverse is √(x)/3.
What is the value of the expression 3 -4?
Answers
Answer:
-1
Step-by-step explanation:
3 - 4 = -1
When dealing with subtraction, you must be very careful with the order you place your numbers in. Let alone, subtraction is important in real-world situations, so just something to help. :)
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Wrapping up:
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Find parametric equations that describe the intersection of the cone z=x^2+y^2 and the plane =2z
Answers
Answer:
hhrhrthrtht
Step-by-step explanation:
explain the process of finding the mean of a data set in your own words.
Answers
Answer:i hope this helps
Step-by-step explanation:add all the terms together and divide by the amount of terms given
Wayne ate Takis everyday for n days. He ate 28 bags total.
Write an expression for how many bags of Takis Wayne ate each day.
I NEED AN ANSWER SOON!!!!
Answers
The expression for no. of bags of Takis Wayne ate each day is given by, b = 28/n.
What is an expression?Expresssion are mathemaical ways of writing staments.There are many types of mathematical expressions some of them are :- Algebraic expressions, Logarithmic expressions, Trigonometric expressions and many more.
Here the no. of days is represented by 'n' and total no. of bags of akis he ate is 28.
Assuming Wayne ate 'b' bags of Takis everyday.
∴ No. of bags of Takis each day multiplied by no. of days is equal to total no. of bags of Takis he ate which is numerical form is,
b×n = 28.
So, The expression for no. of bags of Takis Wayne ate each day is ,
b = 28/n.
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What is 943,158,670.3491 rounded to the 100 millions? PLEASE ANSWER ASAP!
Answers
Answer:
I believe the answer is 943,158,670.349
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
two vertices of an obtuse triangle are $(6,4)$ and $(0,0)$. the third vertex is located on the negative branch of the $x$-axis. what are the coordinates of the third vertex if the area of the triangle is 30 square units?
Answers
Since the third vertex is located on the negative branch of the x-axis, the coordinates of the third vertex of this triangle is equal to (-15, 0).
The types of triangle.In Geometry, there are different types of triangle based on the length of their sides and angles, and these are;
Equilateral triangleScalene triangleIsosceles triangleObtuse triangleRight-angled triangleHow to calculate the area of a triangle?Mathematically, the area of a triangle can be calculated by using this formula:
Area = 1/2 × b × h
Where:
b is the base area.h is the height.Note: The height of this triangle is the y-axis of (6, 4).
Substituting the given parameters into the formula, we have;
Area = 1/2 × b × h
30 = 1/2 × b × 4
2b = 30
b = 30/2
b = 15 units.
Since the third vertex is located on the negative branch of the x-axis, the coordinates of the third vertex of this triangle is equal to (-15, 0).
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Complete Question:
Two vertices of an obtuse triangle are (6,4) and (0,0). The third vertex is located on the negative branch of the x-axis. What are the coordinates of the third vertex if the area of the triangle is 80 square units?
Grace has read 2 chapters in each of her 9 books. How many chapters has read in all
Answers
Answer:18
Step-by-step explanation:2*9=18 hope this helps
Answer:
18 chapters have been read in total.
Step-by-step explanation:
A regular hexagon is divided into 6 congruent triangles. If the perimeter of the hexagon. is 48 centimeters, what is the height of each triangle?
A 4 \mathrm{~cm}
B 4 \sqrt{3} \mathrm{~cm}
C 6 \sqrt{3} \mathrm{~cm}
D 8 \mathrm{~cm}
E 8 \sqrt{3} \mathrm{~cm}
Answers
Answer:Your answer would be E
Step-by-step explanation:8 times 6 would be 48
The measure of height of each triangle will be 4√3 cm. Then the correct option is B.
What is the perimeter of the regular polygon?All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.
P = (Side length) x n
A regular hexagon is divided into 6 congruent triangles. If the perimeter of the hexagon is 48 centimeters.
Then the Side length of each triangle will be given as,
48 = (Side length) x 6
Side length = 8 cm
Then the measure of the height of each triangle will be calculated as,
tan 60° = h / (8 / 2)
√3 = h / 4
h = 4√3 cm
The measure of height of each triangle will be 4√3 cm. Then the correct option is B.
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Pls show steps on how u got the answer and thank u
Answers
Answer:
A=3
Step-by-step explanation:
-7a+28=7
subtract 28 from both sides to eliminate it from the first side
-7a=-21
Two negatives equals a positive
7a=21
divide both sides by 7
a=3
I don't get this, I would be happy if someone helped me.
Answers
Answer:
Step-by-step explanation:
(5/8 + 6/8)/(-4/6 - 5/6)
(11/8)/(-9/6)
(11/8)*(-6/9)
= -66/72 = -11/12
Answer:
11/12
Step-by-step explanation:
5/8 + 3/4 = 1 3/8
-2/3 - 5/6 = 1 1/2
1 3/8 divided by 1 1/2 = 11/12
What is the distance between -6 2/3 and 4 1/3 on a number line, in units?
Select ALL that apply.
Answers
The distance between the points = |-6 2/3 - 4 1/3| = |-20/3 - 13/3| = |-33/3| = |-11| = 11 units.
How to Find the Distance between Two Points on a Number Line?The distance between two points on a number line is the absolute difference between their coordinates.
Given the following points are on a number line:
-6 2/3 and 4 1/3
The distance between the points = |-6 2/3 - 4 1/3|
The distance between the points = |-20/3 - 13/3|
The distance between the points = |(-20 - 13)/3|
The distance between the points = |-33/3| = |-11|
The distance between the points = 11 units.
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