On a recent Summative Assessment, the mean score for the Algebra 1 class was 72 and the standard deviation was 7. See the normal distribution curve below that represents the data and answer the following questions.
What score is the 16th percentile?
Answers
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According to the empirical rule, roughly 68% of the normal distribution is within 1 standard deviation of the mean.
In this case, that tells us 68% of the population is between x = 65 and x = 79. The center is at mu = 72, which is the highest point. On either side of this center is where the curve goes downward as you move away from the center. Note the symmetry as well. Each tickmark represents 1 standard deviation unit.
Because 68% of the class got scores between x = 65 and x = 79, this means 100% - 68% = 32% of the class got a score x such that x < 65, or x > 79
Cut this in half and get (32%)/2 = 16%
16% of the population is in either tail.
16% of the population is the set of x values such that x < 65; we can say that 16% of the population is more than 1 standard deviation from the mean, and also smaller than the mean.
The 16th percentile is the marker where 16% of the population is below that value.
Therefore, the 16th percentile is the value 65
16% of the class scored less than 65 on the test.
Related Questions
Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU. Given that AB ll DC, Which of the following statements is true concerning trapezoid RSTU?
Answers
The true statements concerning trapezoid RSTU are:
STUT
CABRS
DRS UT
Based on the given information that Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU, we can determine the relationships between the corresponding sides and angles of the two trapezoids.
Given:
AB || DC
Based on the parallel lines, we can infer the following relationships:
Corresponding sides are parallel:
RS || UT (corresponds to AB || DC)
ST || RU (corresponds to BC || DA)
Corresponding angles are congruent:
∠R ≅ ∠A
∠S ≅ ∠B
∠T ≅ ∠C
∠U ≅ ∠D
From these relationships, we can determine the following statements that are true concerning trapezoid RSTU:
STUT (corresponds to ABCD): The bases of the trapezoids are parallel, so the order of the vertices remains the same.
CABRS (corresponds to DCBA): The corresponding angles in trapezoid RSTU and trapezoid ABCD are congruent.
DRS UT (corresponds to ABDC): The order of the vertices is reversed, but the parallel sides and corresponding angles remain the same.
Therefore, the true statements concerning trapezoid RSTU are:
STUT
CABRS
DRS UT
To know more about trapezoid here
https://brainly.com/question/1410008
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1.
Use synthetic division and the Remainder Theorem to find P(a).
P(x) = x3 + 7x2 + 4x; a = −2
2
12
−2
0
Answers
Answer:
12
Step-by-step explanation:
Please write this function as P(x) = x^3 + 7x^2 + 4x + 0. This third order function has four coefficients. We set up synthetic division with -2 as the divisor:
-2 / 1 7 4 0
-2 -10 12
----------------------
1 5 -6 12
The remainder is 12. Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.
Find the surface area of the solid.
17 yd
24 yd
Answers
First I found the area of the square (24*24=576), then multiplied it by the number of sides (576*5=2880). Then I found the area of the triangle ((17*24)/2=204) and multiplied it by the number of sides (204*4=816). Lastly, you add the square and the triangle (2880+816=3696)
Graph the following features:
Slope = 4 Y-intercept: -1
Answers
Answer:
Graph the point at -1 on the y-axis, then the next at 4 on the x-axis, then connect them
This is the graph as in upload
Isabelle and Brenda are selling bunches of tulips.
→ Each bunch has 7 tulips.
→ Isabelle sold 7 bunches.
→ Brenda sold 3 bunches
What is the total number of tulips the friends sold?
A. 21
B. 42
C. 49
D. 70
PLEASE HELP!!!
Answers
It’s asking the TOTAL- 7(7) = 49 + 7(3) =70 total tulips sold combined
A soccer dome shaped like a hemisphere has a volume of 450,000 cubic meters. What is the area of its floor? Use 3.14 for π in your calculations and round your answer to the nearest square meters
Answers
Answer:
3282 m^2
Step-by-step explanation:
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7
r = radius
r = (450,000 x (3/2) x(1/3.14)) ^1/3
r = 45.72
Area of a semicircle = 1/2 x n x r^2
1/2 x 45.72^2 x 3.14 = 3282 m^2
Piper is buying a bottle of bubbles for $5.99. If there are 3 gallons of bubbles in the bottle, what is the unit rate?
Answers
Answer:
5.99/3
Step-by-step explanation:
Teachers usually except this stuff because it is technically correct
SOMEONE PLS HELP ME
I ATTACHED A PIC
Answers
Answer:
See solution below
Step-by-step explanation:
The centre of the circle will be the midpoint of both coordinate
Given the coordinates P(-7, -10) and Q = (3,2)
X = x1+x2/2
X = -7+3/2
X = -4/2
X = -2
Y = y1+y2/2
Y = -10+2/2
Y = -8/2
Y = -4
Hence the centre is at (-2, -4)
The distance between the coordinates will be the diamter
PQ =√(3+7)² + (2+10)²
PQ =√(10)² + (12)²
PQ = √100+144
PQ =√244
radius = √244/2
Get the equation
(x-a)² + (y-b)² = r²
(x -(-2))² + (y-(-4))² = (√244/2)²
(x +2)² + (y+4)² = (244/4)
(x +2)² + (y+4)² = 61
This gives the required equation
Jenelle invested $13000 in two mutual funds. Fund A earned 5% profit during the first year, while Fund B suffered a 2.5% loss. If she received a total of $290 profit, much had she invested in each mutual fund a
Jenelle invested $ ____ fund A
Jenelle invested $ ____into fund B
Answers
Answer:
hola la respuesta es 3900 y 2348
Step-by-step explanation:
espero que te sirva
Solve for x. 7x+9 9x-19
Answers
X = 4
Nikki sold 24 boxes of cookies. Nikki sold 4 more than 5 times the number of boxes of cookies Samantha sold. Exactly how many boxes of cookies did Samantha sell?
Answers
answer 4
explanation
Nikki sold 4 more than Samantha number times 5
24-4=20
so Samantha number times five equals 20
20÷5=4
Samantha sold 4 boxes of cookies
How much is 3×4+9÷6+44×77×777×00+9?
Answers
Answer:[tex]3*9+9/6+44*77*777*00+9[/tex], so using order of applications, it simplifies to 27+1.5+9 after multiplying and dividing, and the final answer is 37.5
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
pro tip use bodmas
3*4+9/6+44*77*777*00+9
3*4+1.5+44*77*777*00+9
12+1.5+0+9
22.5
The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.
Answers
Answer:
Whats the question?
Step-by-step explanation:
What’s the question for the problem?
Plz help . . . plz???
Answers
Answer:
A. x^2+3x-4
B. 6x^2-5x+1
Answer:
A: x^2+3x-4
B: 6x^2 -5x +1
Step-by-step explanation:
Alright, so for this, use the FOIL method, by multiplying the terms of each question in this order:
First
Outer
Inner
Last
So with the first question, lets do this:
(x+4)(x-1)
F: x * x = x^2
O: x * -1 = -x
I: x * 4 = 4x
L: 4 * -1 = -4
Then combine the like terms together:
x^2 + -x + 4x -4
A: x^2+3x-4
With the next one, same deal:
(2x-1)(3x-1)
F: 2x * 3x = 6x^2
O: 2x * -1 = -2x
I: 3x * -1 = -3x
L: -1 * -1 = 1
Then combine them up:
6x^2 -2x -3x +1
B: 6x^2 -5x +1
All done!
Jeremiah mows his yard every week. On the first week of the month, it took 136 minutes to mow
his yard. On the second week of the month, it took him 153 minutes. What is the percent of increase
Answers
in which of the expression below does n=3 ? select all that apply.
Answers
Answer:
B and C
if n=3 then 5ⁿ=5³=5×5×5=125
n³=3³=3×3×3=27
hope it helps :)
Need Help with a math question asap
I can't seem to get this one quite right
2(x+8)^(2)+9=29
Answer format: (__,__)
Answers
Answer:
x = {-8 - √10, -8 + √10} exact answer
x = {-11.16, -4.84} decimal approximation
Step-by-step explanation:
2(x + 8)²+ 9 = 29
Subtract 9 from both sides
2(x + 8)² = 20
Divide both sides by 2
(x + 8)² = 10
Take the square root of both sides
x + 8 = ±√10
Subtract 8 from both sides
x = -8 ± √10
x = {-8 - √10, -8 + √10} exact answer
x = {-11.16, -4.84} decimal approximation
An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply: 110 55 35 15
Answers
Answer:
35 degrees
Step-by-step explanation:
An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side
sum of angles in a triangle = 180
180 - 110 = 70
since 2 angles would be equal
70 / 2 = 35
Below. What is m∠1?
m∠1 =
Answers
Answer:
70 degrees
Step-by-step explanation:
Answer:
Angle 1 is 70
Step-by-step explanation:
Because (angle 1 + 31=101) so 101-31= 70
NEED HELP ASAP, WILL GIVE BRAINLIEST
Solve for x in the triangle. Round your answer to the nearest tenth.
Answers
Answer:
280
Step-by-step explanation:
If you could,please help me find the surface area. Thank you I appreciate it very much.
Answers
Answer:
SA ==736^2
Without unit = 736^2
Step-by-step explanation:
Start with base of a triangle face
Base = 12 Height = 8
1/2 x 12 x 8 = 48 cm^2 one side face surface area
48 x 2 = 96 cm^2 two side face surface area bold
----
Sides
10 x 20 = 200 cm^2 one side face surface area
200 x 2 = 400 cm^2 two side face surface area bold
-----
base 20 x 12 = 240 cm^2 single base. bold
Add up those values in bold = 240 + 400 + 96 =736 cm^2
20 points ill give brainlest if u can answer both !!
Answers
Answer:
3)
Each stripe is 1/18 yards thick, and the fence post if 5/6 yards. Therefore, we have to find how many 1/18s can go into 5/6. Thus, this is a matter of division, and we do 5/6 divided by 1/18 to find how many stripes we can have.
5/6 ÷ 1/18 = 5/6 * 18 = 15
Thus, the answer is D.
4) A is 3, which means we substitute all the "a"s in the expression for 3. Thus we have:
99 - 7[tex]a^{2}[/tex]
99 - 7(3)^2
99 - 7(9)
99 - 63 = 36
Therefore, it is 36.
Mike jogged 6 laps around a 0.25 mile track on Monday and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday combined? miles
Answers
Answer: 3.25 miles
Step-by-step explanation:
6 + 7 = 13
13 x .25 = 3.25
6 x 0.25 = 1.5
1.75 + 1.5 = 3.25
I hope this helps you :)
I need help with finding the area to this Triangle. This is Geometry by the way.
Answers
Answer:
9 sq. units
Step-by-step explanation:
dimensions of rectangle are (7-3),(8-3)
or 4,5
area of rectangle=4×5=20
area of bottom Δ=1/2×4×2=4
area of top Δ=1/2×3×3=9/2
area of right triangle=1/2 ×5×1=5/2
area of Δ HIJ=20-(4+9/2+5/2)
=20-(4+14/2)
=20-(4+7)
=9 sq. units.
or area of triangle =1/2
| 3 5 |
| 7 3 |
|6 8 |
|3 5 |
=1/2[(9-35)+(56-18)+(30-24)]
=1/2[-26+38+6]
=1/2[-26+44]
=1/2(18)
=9 sq. units.
When benny's sister is 24, Benny's age will be 125% of her age. How old will Benny be then, and is Benny is 12 years old now, how old is penny now?
Answers
Answer:
A. 30
B. 6
Step-by-step explanation:
We'll use P for Penny's age and B for Benny's age. When Penny is 24, Benny will be 1.25 her age. Thus:
B = 1.25 * 24
(benny is 25% older than her)
So Benny's age then will be 1.25 * 24 = 30.
When Benny is 30, Penny will be 24. This means that he is older than her by 6 years. Think about it for a second: Benny will always be 6 years older than her. You can write that as:
B = P + 6
If Benny is 12 years old now,
12 = P + 6
Subtract 6 from both sides and you get
6 = P
or P = 6
Penny is 6 years old when Benny is 12.
Please help me solve this
Answers
Answer:
area of the square=18×18
=324 cm²
area of the circle=πr²
=3.142×9² (radius=18cm/2=9cm). =254.502 cm²
area of the shaded region=324-254.502
=69.498 cm²
ace help me pls I need help ace
Answers
Answer:
?
Step-by-step explanation:
Answer:
ill help but i need the question
HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
It is A 7
Step-by-step explanation:
2(7)+4= 18
14 + 4=18
A square mirror has a perimeter of 8 ft how long is each side of the mirror
Answers
Answer:
2 ft
Step-by-step explanation:
Perimeter = 4 * sides
8 ft = 4 * s
side = 2 ft
Answer:
2 ft
Step-by-step explanation:
8/4 = 2
Express 80 g as a fraction of 1 kg.
Give your answer as a fraction in its lowest terms.
Answers
80g/1000g = 8/100 = 2/25