Answer:
The slope is 3/2 or 1.5
Step-by-step explanation:
The slope is Rise/Run.
The difference in y-values, –1 -(-4) =3 is the rise.
the difference in x-values, 3 –1 = 2 is the run.
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 84.584.5; this version has a mean of 66.966.9 and a standard deviation of 1111. Kiersten got a score of 281.8281.8; this version has a mean of 261261 and a standard deviation of 2626. Pierce got a score of 7.697.69; this version has a mean of 7.27.2 and a standard deviation of 0.70.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Tobias should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
The applicant with the highest z-score should be chosen.
Tobias:
Score of 84.5, in a version with mean 66.9 and standard deviation 11. His z-score is found when [tex]X = 84.5, \mu = 66.9, \sigma = 11[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{84.5 - 66.9}{11}[/tex]
[tex]Z = 1.6[/tex]
Kiersten:
Score of 281.8, in a version with mean 261 and standard deviation 26. His z-score is found when [tex]X = 281.8, \mu = 261, \sigma = 26[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{281.8 - 261}{26}[/tex]
[tex]Z = 0.8[/tex]
Pierce:
Score of 7.69, version with mean 7.2 and standard deviation 0.7. His z-score is found when [tex]X = 7.69, \mu = 7.2, \sigma = 0.7[/tex].
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.69 - 7.2}{0.7}[/tex]
[tex]Z = 0.7[/tex]
Due to the higher z-score, Tobias should be offered the job.
Whats the square root of 826 also looking for a minecraft girI needs to be 15 or older
Answer:
28.740,
Step-by-step explanation:
Answer:
28.7 and plus dont use people for internet gaming sidechicks its just wrong go find someone that can actually be there for you
Step-by-step explanation:
A satellite weighs 150 pounds on Earth. Using
the table above, how much more does this
satellite weigh on Saturn than on Mars?
I need help with algebra 20 points
Answer:
4s
Step-by-step explanation:
s is the original number of stickers, and since she wants four times as many stickers, you just multiply by 4 so you get 4s
A person making $500 a week receives a 12% raise, which is an increase in their salary. Find the person’s new weekly salary.
Are 6(n + 3) - 4 and 6n + 14 equivalent expressions?
Answer:
yes
Step-by-step explanation:
because if you multiply 6 and n it is 6n and 6 x 3 are 18 but subtract 4 and it is correct
Find the value of each variable in the circle to the right. The dot represents the center of the circle.
Answer:
b = 90 degrees
a= 68.5 degrees
angle a = 1/2(137)
a = 68.5
#3c Part 1: What postulate did you make use of to answer parts a and b?
1 point
Segment Addition Postulate
Angle Addition Postulate
Corresponding Angles Postulate
Ruler Postulate
Answer:
Option C : Correponding Angles Postulates .
Step-by-step explanation:
Hope It May Help You !!!
The height of a weather balloon as it is launched can be represented by an exponential model in the form y = a* b^x where y is the height in km after x minutes. After 2 minutes, the recorded height is 3 km, and after 3 minutes, it is 9 km. Which of the following represents another point on the graph of this exponential model?
Group of answer choices
(1,-3)
(1, 1)
(4, 15)
(4, 16)
Answer:
Step-by-step explanation:
4,15
The point (4, 3) is on the graph of this exponential model.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the given information to form two equations with two unknowns (a and b) and solve for them.
From the first data point (2, 3 km):
y = a b^x
3 = a b^2
From the second data point (3, 9 km):
y = a b^x
9 = a b^3
Dividing the second equation by the first equation:
9/3 = (a b³) / (a b²)
3 = b
Substituting b = 3 into the first equation:
3 = a x 3²
a = 1/9
So the exponential model is y = (1/9) x 3^x.
To find another point on the graph of this exponential model, we can choose a value for x and calculate y.
Let's try x = 4:
y = (1/9) x 3^4
y = 1 x 3/3 x 3/3 x 3/3 x 3/9
y = 3
Therefore,
The point (4, 3) is on the graph of this exponential model.
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determine whether ABCD is a parallelogram The vertices are A(-2,3) , B(3,2), C(2,-1) and D(-3,0)
Answer:
Yes, this is a parallelogram
Step-by-step explanation:
Calculate B for the figure below
7 mi
4 mi
O 6.28 mi
O 28 mi
25.12 mi
O 12.56 mi
PLEASEEEE HELPPPP
Answer:6.28 mi 2
Step-by-step explanation:
School sucks ikr
XYZ Corporation recorded the number of employee absences each week over a period of 10 weeks. The result is the data list 5, 3, 4, 1, 4, 7, 2, 6, 3, 5. Find the standard deviation of the number of absences each week.
Answer:
4 ansences
Step-by-step explanation:
40 / 4 is 10 so ans is 10 absences
what is the slope of the line that passes through the points (5,9)and (-3,9).
Answer:
[tex]\displaystyle m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, 9)
Point (-3, 9)
Step 2: Identify
x₁ = 5, y = 9
x₂ = -3. y = 9
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{9-9}{-3-5}[/tex][Slope] [Fraction] Subtract: [tex]\displaystyle m=\frac{0}{-8}[/tex][Slope] [Fraction] Divide: [tex]\displaystyle m=0[/tex]Answer please I would appreciate it :)
Answer:
136 units²
Step-by-step explanation:
5x7=35
5x7=35
6x7=42
1/2(4)(6)=12
1/2(4)(6)=12
35+35+42+12+12=136
Sam traveled 56 miles in 8 hours. If he traveled at the same rate on the next day,how far can he go the next day,how far could he go in 14 hours.
Answer:
Step-by-step explanation:
56 miles/(8 hours) = 7 miles/hour
14 hours × 7 miles/hour = 98 miles
Find the area of the composite figure. First, find the area of the triangle. 3 cm Triangle Area = [?] cm2 6 cm Rectangle Area = [] cm2 9 cm Total Area of Composite Figure = [ ] cm2 Enter
Answer:
The area of the triangle is 9 and the area of the regtangle is 54 so when you add them you will get 63 i hope it will help!
y = 3x +4
y = -2
A method by solving systems of equations by adding or subtracting to eliminate a variable
Tally marks are always
recorded in bunches of
(4 5 1 2)
Answer:
what is the ?
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The seventh-grade class is putting on a variety show to raise money. It costs $150 to rent the auditorium that they are going to use. If they charge $5 per ticket, how many tickets do they need to see in order to raise at least $750?
Answer:
180 tickets
Step-by-step explanation:
750 + 150 = 900 they will have to make
900/5 = 180 tickets
To raise at least $750, the seventh-grade class needs to sell a minimum of 180 tickets, priced at $5 each, to cover the fundraising goal and the $150 auditorium rental cost.
Given that,
Seventh-grade class is putting on a variety show to raise money.
The auditorium rental cost is $150.
Each ticket is priced at $5.
The goal is to raise at least $750.
Denote the number of tickets they need to sell as "x".
The revenue generated from ticket sales can be calculated by multiplying the number of tickets sold (x) by the ticket price ($5),
Which gives us 5x dollars.
Now since,
Total revenue from ticket sales - Auditorium rental cost ≥ Fundraising goal
Therefore,
5x - 150 ≥ 750
Add 150 to both sides:
5x ≥ 900
Divide both sides by 5 to solve for x:
x ≥ 180
Since the seventh-grade class cannot sell a fractional number of tickets,
Hence,
They need to sell at least 180 tickets to raise at least $750 and cover the auditorium rental cost.
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Tara wants to draw rectangles that each have an area of 24 square inches. The length and width of each rectangle are whole numbers of inches.
Answer:
it could be the width is 8 and the length is 3
Step-by-step explanation:
3 x 8= 24 hope this helps
what is 30% of 70?
I am confused
Answer:
21
Step-by-step explanation:
Answer:
Its 21
Step-by-step explanation:
what is -1 3/10 + (-3.8) show your work
Step-by-step explanation:
Sln
-13/10 +(-3.8)(remove bracket)
-13/10-3.8(then divide )
-1.3-3.8
-51
The given term -1 ³/₁₀ + (-3.8) can be simplified as -5.1.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
The given term is,
-1 ³/₁₀ + (-3.8)
First simplify fraction term,
-13/10 + (-3.8)
Solve bracket term,
-13/10 - 3.8
Use least common multiple approach to solve further,
= (-13-38)/10
= -51/10
= -5.1
The expression -1 ³/₁₀ + (-3.8) can be simplified as -5.1.
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which is the best esrimate of acube 4.2
Answer:
5.2 maybe I don't now and if wrong
Explain your answer !!
Have a nice day
Will give braisnlt
Answer:
x = 4 and y = 1
Step-by-step explanation:
The given equations are :
2x+5y = 13 ...(1)
3x-2y = 10 ...(2)
We can use elimination method to solve the given equations.
Multiply equation (1) by 3 and equation (2) by 2.
6x+15y=39 ...(3)
6x-4y=20 ...(4)
Subtract equation (3) from (4).
6x-4y-(6x+15y) = 20-39
6x-4y-6x-15y = -19
-19y=-19
y = 1
Put the value of y in equation (1).
2x+5y = 13
2x+5=13
2x=8
x = 4
So, the solution of the given equations are x = 4 and y = 1.
0.2 is x% of 2
please help me
Answer:
What is 0.2 percent of 2? = 0.004.
Answer:
x = 10%
Step-by-step explanation:
Simple: 2 divided by 0.2 equals 10.
If you multiply 0.2 by 10 you get 2.
Lemme know if you need me to elaborate!
Aliyah is a textbook salesperson. Last week she made $1,200 in commission. If she sold $8,000 worth of text books, what percent is her commission?
Answer:
1200/8000=0.15 so 15%
Step-by-step explanation:
........
y = 2x + 4 and y = 3x
+ 2
if 8 out of 40 people over the age 95 are female, how many are male?
Answer:
32
Step-by-step explanation: (40-8=32) There are 32 male's
Answer:
32
Step-by-step explanation:
8 out of 40 people is a ratio of 20 %
32 out of 40 people is a ratio of 80%
Therefore it would be 32 people are males. :D
Hope this helps
Need help on this one thank u
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]a + 0.5b - 4 a - b \\ - 3a - \frac{1}{2} b[/tex]
Explain your answer !!
Have a nice day
Will give braisnlt
Answer:
Equations:
[tex]4H + 3P = 13.75[/tex]
[tex]2H + 5P = 11.25[/tex]
[tex]H = 2.50[/tex] --- Hot dog
[tex]P = 1.25[/tex] --- Pretzel
Step-by-step explanation:
Represent hot dogs with H and Pretzels with P.
For Tina:
[tex]4H + 3P = 13.75[/tex]
For Doug:
[tex]2H + 5P = 11.25[/tex]
Solving for the price of both items:
We have:
[tex]4H + 3P = 13.75[/tex] --- (1)
[tex]2H + 5P = 11.25[/tex] --- (2)
Multiply (2) by 2
2 * ([tex]2H + 5P = 11.25[/tex])
-------------------
[tex]4H + 10P = 22.50[/tex] --- (3)
Subtract (3) from (1)
[tex]4H + 3P = 13.75[/tex]
[tex]4H + 10P = 22.50[/tex]
----------------------
[tex]4H - 4H + 3P - 10P = 13.75 - 22.50[/tex]
[tex]3P - 10P = 13.75 - 22.50[/tex]
[tex]-7P = -8.75[/tex]
Solve for P
[tex]P = \frac{-8.75}{-7}[/tex]
[tex]P = 1.25[/tex]
Substitute 1.25 for P in (2)
[tex]2H + 5P = 11.25[/tex]
[tex]2H + 5 * 1.25 = 11.25[/tex]
[tex]2H + 6.25 = 11.25[/tex]
Collect Like Terms
[tex]2H = 11.25-6.25[/tex]
[tex]2H = 5[/tex]
Solve for H
[tex]H = \frac{5}{2}[/tex]
[tex]H = 2.50[/tex]