The table below shows the scores on a math test. David 75 Aaron 75 Ashley 60 Gina 75 Andrew 75 Kei 95 Monica 100 Anna 60 Lucas 75 Jennifer 65 The number of standard deviations between a score and the mean score is indicated by a z-score. What was Ashley's z-score on the math test?
a. 1.1
c. -1.1
b. 60
d. -15.5
Answers
Answer: c
Step-by-step explanation: good luck everyone
Ashley's z-score for the given table is -1.2.
What is z-score?''A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.''
From the given table, we can calculate the mean, median, mode and standard deviation.
Therefore, mean = (75 + 60 + 75 + 100 + 75 + 75 + 75 + 95 + 60 + 65) ÷ 10
= 75.5
Median = middle term when scores are arranged in ascending order
= middle term of {60, 60, 65, 75, 75, 75, 75, 75, 95, 100}
= 75
Mode = number that occurs highest in {60, 60, 65, 75, 75, 75, 75, 75, 95, 100} = 75.
Standard deviation = [tex][\sqrt{(x_1-x)^{2}+(x_2-x)^{2}+........+(x_n-x)^{2}]/n[/tex]
= [tex][\sqrt{(75-75.5)^{2}+(60-75.5)^{2}+........+(65-75.5)^{2}]/10[/tex]
= [tex]\sqrt{157.25}[/tex]
=12.54
Therefore, Ashley's Z-score = (Ashley's score - Mean)/ Standard Deviation
= (60 - 75.5)/12.54 = -1.2
Learn more about z-score here: https://brainly.com/question/17756962
#SPJ2
Related Questions
Which system of equations is represented by the graph?
Answers
HELP!!! I NEED HELP!
The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are __The coordinates of the point that is a reflection of Y across the y-axis are __
Answers
Answer: Reflection over X axis is (-4, 2) and reflection over the Y axis is (4, -2)
Step-by-step explanation:
Find the length of the hypotenuse of the right triangle.
40
048
041
None of the other answers are correct
40
26
Answers
Answer:
Ans. 41
Step-by-step explanation:
By using the formula of pythagoras theorem,
h^2 = p^2+b^2
or, h = sqrt(9^2+40^2)
or, h = sqrt(81+1600)
or, h = sqrt(1681)
or, h = sqrt(41^2)
or, h = 41 #
Combine like terms:
8b + 8 -4b -3
Answers
Yeah, good luck with the rest of your schoolwork :0
write the slope intercept form of the equation of each line
Answers
PLEASE HELP ILL GIVE BRAINLIEST!!
Answers
180 deg rotation about the origin and a translation 2 units left
The length of a rectangle is 2 feet less than 4 times the width. The area is 256ft2. Find the dimensions of the rectangle.
Answers
Answer:
[tex]W = 8.255[/tex]
[tex]L = 31.02[/tex]
Step-by-step explanation:
Let L = Length and W = Width.
So:
[tex]L = 4W - 2[/tex]
[tex]Area = 256[/tex]
Required
Find L and W
Area is calculated as:
[tex]Area = L * W[/tex]
Substitute 4W - 2 for L and 256 for Area
[tex]Area = (4W - 2) * W[/tex]
[tex]256 = (4W - 2) * W[/tex]
Open Bracket
[tex]256 = 4W^2 - 2W[/tex]
Divide through by 2
[tex]128 = 2W^2 - W[/tex]
Equate to 0
[tex]2W^2 - W - 128 = 0[/tex]
An equation [tex]aw^2 + bw + c = 0[/tex] has the roots
[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 2[/tex] [tex]b = -1[/tex] [tex]c = -128[/tex]
So:
[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]
[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]
[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]
[tex]W = \frac{1\± 32.02}{4}[/tex]
[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]
[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]
[tex]W = 8.255[/tex] or [tex]W = -7.755[/tex]
But the dimension can not be negative.
So:
[tex]W = 8.255[/tex]
Recall:
[tex]L = 4W - 2[/tex]
[tex]L = 4 * 8.255 - 2[/tex]
[tex]L = 31.02[/tex]
Adventure Time
Come on grab your friends
We'll go to very distant lands
With Jake the Dog and Finn the Human
The fun will never end, it's Adventure Time!
Answers
Answer:
so i graphed it and it does end
Step-by-step explanation:
Answer:
Adventure time is a great show they shouldve made more episodes
Step-by-step explanation:
*PLS HELP MEE* There are 80 servings in a box of cereal. Each serving size is 1/8 of a cup of cereal. If one person eats 1 cup and another eats 3 cups, how many cups are left in the box of cereal?
Answers
Answer:
2 cups left in the ceral box!
Step-by-step explanation:
please just trust me i worked it out and got the answer and you just have to trust me please! MAY I HAVE BRAINLIEST IF ITS RIGHT? HAVE A GREAT DAY!!!
i have a question, what is a number increased by twelve? in expression symbols . . .
Answers
Answer:
well it would be +12, does that answer your question?
You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?
Answers
Answer:
Choice A. $2,392 is the correct answer
Giving brainlest to the correct answer
Answers
Answer:
The percentage of people surveyed that were satisfied with the car is 55%.
Step-by-step explanation:
1,100/2,000=0.55*100= 55%
PLEASE HELP!!!!!!!!
find the missing value
y=-4x-1
( ,11)?
Answers
You would make -1 positive and add it to 11. This gives you 12. Then divide 12 and -4 which gives you -3.
Plssss answer ASAP!!!!!!
Answers
Answer:
You do 2 times 5x, the simplify.
Answer: none of these
Step-by-step explanation:
2. What is the equation in point-slope form of the line that passes through the point
(4,-5) and has a slope of = ?
3
Answers
Answer:
y+5=[tex]\frac{2}{3}[/tex](x-4)
Step-by-step explanation:
Evaluate the expression when x = 9.2 and y = 3.4.
5xy
Answers
Answer:
5x9.2x3.4=156.4
Step-by-step explanation:
plug in 9.2 for x and 3.4 for y then multiply
in the sequence 11, 13,15,17 the first term is and the 4th term is ?
PLS HELP
Answers
Answer:
Isnt the
Step-by-step explanation:
Isnt the first term 11
And the 4th 17 lol
f (x) = 3x + 5
Solve for x=5
Answers
is there anything after 16a+20 ?
Answers
Answer:
The equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
Step-by-step explanation:
Given the expression
[tex]4(4a+5)[/tex]solving the expression to determine the equivalent expression
[tex]4\left(4a+5\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]
[tex]=16a+20[/tex]
Taking 2 as the common factor
[tex]=2\left(8a+10\right)[/tex]
Also
[tex]12a+20+4a = 16a+20[/tex]
Therefore, the equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
In September, Shalee had some money in her bank account. In October she earned $48.24 and put it in her account. In November she spent three-fourths of the money in her bank account on a dress. If she spent $68.28 on the dress, how much money did she have in her account in September?
Answers
Answer:
x = $42.8
Step-by-step explanation:
Let
Amount of money shalee has in Sept = $x
Shalee October earnings = $48.24
Total money = $x + $48.24
She spent 3/4 of the money on dress
3/4 of (x + 48.24) = $68.28
3/4 * x + 48.24 = 68.28
3/4x + 144.72/4 = 68.28
3/4x + 36.18 = 68.28
3/4x = 68.28 - 36.18
3/4x = 32.10
x = 32.10 ÷ 3/4
= 32.10 × 4/3
= 128.4/3
= 42.8
x = $42.8
The sum of two numbers is 68 and the difference is 12. What are the numbers? Larger number: Smaller number:
Answers
Answer:
This is hard asfk
Step-by-step explanation:
Sorry but im confused just as you.
17+(−8)+(−8) CAN YOU HELP GUY pls
Answers
Answer:
1
Step-by-step explanation:
17 + (-8) + (-8) = 17 + (-16)
= 1
If two numbers have same sign, then add and put the sign.
So, add (-8)and (-8), the result will have the sign (-). -16
If two numbers have different sign, subtract and the result will have the sign of the bigger number.
17 and (-16) have different sign and the bigger number sign is +
So, the result is 1
Easy :PP
Answer~1
Explination~you would start by adding (-8)+(-8)-8 + -8
=
-16
Then add 17-16 + 17
=
1
------------------------------------------------------------------------hope I helped!!I know I haven't been on this app for a long time but can ya'll help me
Answers
Answer:
2774
Step-by-step explanation:
start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?
Lily invested $90,000 in an account paying an interest rate of 4.6% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $221,200?
Answers
Answer:
20
Step-by-step explanation:
I'm just doing this for points but it is the right answer
What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2
Answers
Answer: The only force on it is its weight, w=9800N
Step-by-step explanation:
Which statement best describes the behavior of the graph of 3x − 4y = 8?
A. The graph is a vertical line.
B. The graph is a horizontal line.
C. The graph is rising as x increases.
D. The graph is falling as x increases.
Answers
Answer:
B. The graph is a horizontal line.
Step-by-step explanation:
brainest plz
if f(x)=x^2+4x-12. find f(2)
Answers
Answer:
f(2) = 28
Step-by-step explanation:
By evaluating the function in x = 2 we will see that f(2) = 0.
How to evaluate a function?Here we have:
[tex]f(x) = x^2 + 4x - 12[/tex]
and we want to find f(2), so we need to evaluate in x = 2.
To do this, we just replace the "x" in the function by the number 2, we will get:
[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]
So we can conclude that f(2) = 0.
If you want to know more about evaluating:
https://brainly.com/question/4344214
#SPJ2
sammy and two friends rented three life jackets and a sailboat . the life jackets were $3 each and boat was $12 an hour . The total cost was $81 . for how many hours did they rent the sailboat
Answers
3 life jackets $3.00= $9.00
1 sailboat $12.00/hr
Total cost = $93.00
93-9= 84
84/12= 7
7 hours
What is the sum of 2x-5x+x+y
Answers
Answer:
-2x + y
Step-by-step explanation:
2x - 5x + x + y
combine all like terms ( x with x and y with y)
-2x + y
Hope this helps!!!
Very much need help
Answers
Simplify> 29x+6 =180
Take away 6 each side
29x=180
Divide both sides by 29 and there’s your answer