The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data. What percent of 8th graders heights are between 138 cm and 162 cm? What percent of 8th graders heights are between 122 cm and 170 cm? What percent of 8th graders heights are between 130 cm and 162 cm?
Answer:
a) 68%
b) 99.7%
c) 95%
Step-by-step explanation:
The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data.
Empirical rule states that:
68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Mean = 146
Standard deviation = 8cm
a) What percent of 8th graders heights are between 138 cm and 162 cm?
146 - sx = 138cm
146 - 138 cm = 8cm
146 - 162 cm = 8cm
Hence,68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .
b) What percent of 8th graders heights are between 122 cm and 170 cm?
Standard deviation = 8
146 - 122 = 24 cm
146 - 170 = -24cm
24cm/8 cm = 3
Hence,99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
c) What percent of 8th graders heights are between 130 cm and 162 cm?
146 cm - 130cm = 16cm
162 cm - 146 cm = 16 cm
16cm/8cm
= 2
Hence, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
can someone explain how you would get the answer to
Answer:
987654
Step-by-step explanation:
PLEASEEE HELPM ME I WILL GIVE BRAINLIEST
what is a simile for abortion
Answer:
abortion is like killing a baby as a mother
Step-by-step explanation:
simile uses "like" or "as"
Helppppp i don’t know what to do
Answer:
the last one
Step-by-step explanation:
PLEASE HELP ME WITH THIS!!
Fill in the missing fractions in the blanks. (You don't need to simplify.) 50.891 = 50 + 8/10 + Source 51-5 USM2 THAN YO UNA CA bo Anu
Answer:
Sorry no idea
Step-by-step explanation:
Help me please !!!!!!!
Answer:
1 = 40
2 = 140
3 = 40
4 = 140
5 = 40
6 = 140
7 = 40
Step-by-step explanation:
A straight line is 180 so I did 40 because 140 + 40 = 180. once I figured 3 out I basically had the rest.
please help me
2(y+2) y=3
Answer:
10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2(y + 2)
y = 3
Step 2: Evaluate
Substitute in y: 2(3 + 2)(Parenthesis) Add: 2(5)Multiply: 10Help is a quizz !!!! The question is what mistake did the make in simplifying the expression ? (explain )
What is the logarithmic form of 12² = 144?
Answer:
log_(12(144))=2
Step-by-step explanation:
Answer:
[tex]log_{12}[/tex] 144 = 2
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
12² = 144 ← in index form
with b = 12, n = 2, x = 144, then
[tex]log_{12}[/tex] 144 = 2 ← in logarithmic form
I don’t know the answer! Please help
Answer:
3x=4x-24, x=24, RST=72
I will be doing more 100 point free questions
90 Points someone please help me !!!!!!!
Answer:
e4 squared
Step-by-step explanation:
HELPPPP PLEASE!!
Find the discounted price of a $90 calculator that is on sale for 25% off.
Answers listed:
$22.50
$67.50
$89.75
$65.00
Answer:
67.5
Step-by-step explanation:
ok easy it cost $90
90/100=0.9
0.9*25=22.5
90-22.5
67.5
what’s the value for x
Answer:
53
Step-by-step explanation:
move 82 down next to (2x-8)
if 82+2x-8 is 180, x is 53
Answer:
2x-8=98
2x=106
×=53 is the right answer
Use the drawing tools to form the correct answers on the graph. Draw the lines representing the vertical and horizontal asymptotes on the graph of this function. 212 + 71 – 4 12 + 51 + 4 = Drawing Tools Click on a tool to begin drawing. Delete Undo Reset Select Line 10 Click on the Graph and drag the Line in the desired direction. al 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2 4 -6 20 Edmentum. All rights reserved.
Answer:
vertical asymptote X=-1
horizontal asymptote Y=2
Step-by-step explanation:
The vertical and the horizontal asymptotes of the function [tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex] are x = -1, and y = 2
The function is given as:
[tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex]
To start with, we plot the graph of f(x)
The asymptotes are the lines that pass through the points that appears to be on the curve because of their nearness to the curve, but they are actually not on the curve of the function.
From the graph (see attachment), we can see that:
The vertical and the horizontal asymptotes are x = -1, and y = 2
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a precision CD player costs $600 but was sold for $525 due to damage
. the percentage loss on the CD player
Answer:
12.5% (I think)
Step-by-step explanation:
75 is the amount of money lost, and 75 is 12.5 percent of 600
Answer:
12.5 percent decrease
Step-by-step explanation:
Use the formula
new-old/old
525 is new price being sold
600 is old price being sold
525-600
-75/600
-1/8
-1/8= -0.125
0.125= 12.5 percent
so 12.5 percent decrease.
6.2yd
15.7yd
8.5yd
what is the volume of the triangluar prism
Answer:
6.2 yards
Step-by-step explanation:
12. Translate this phrase into an algebraic expression.
Two more than the product of 24 and Janelle's score
Which of the following is an example of a quadratic equation?
its b
Step-by-step explanation:
Simplify
6y(2x +9) – 3(x — 4xy)
Answer: 3 • (8yx + 18y - x)
Step-by-step-explain : STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
x - 4yx = -x • (4y - 1)
Equation at the end of step
2
:
(6y • (2x + 9)) - -3x • (4y - 1)
STEP
3
:
Equation at the end of step 3
6y • (2x + 9) - -3x • (4y - 1)
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
24yx + 54y - 3x = 3 • (8yx + 18y - x)
Final result :
3 • (8yx + 18y - x)
Please help if possible due really soon❤️❤️❤️ thank you so much
Answer:
i do believe they are right, i got b too.
Step-by-step explanation:
PLEASE PLEASE HELP!!
Solve the inequality.
2(4+2x)>5x+5
O x<-2
O x>-2
O x<3
O x>3
Answer:
x < 3
Step-by-step explanation:
2(4+2x) > 5x +5
8 + 4x > 5x +5
4x - 5x > 5 - 8
-x > -3
x < 3
I Need Hellp! With this!!
Answer:
1/14
Step-by-step explanation:
slope = difference of y over difference of x
= (-3-(-4)) /(8 -(-6)) = 1/14
PLZZZ help 30 points
Answer:
20*3 1/5
3 1/5= 15+1=16
16/3*20
320/3=
106 1/3
Answer:
64 is ur answer
Step-by-step explanation:
3 1/5 is equal to 16/5
20/1 x 16/5
320/5 = 64
help me please i need to do this fast
The plane traveled 50 miles per hour. What is the distance the plane traveled in 4 hours? plz help asap due in 2 minutes
Answer:
200 miles in 4 hours hope this helps and u get it in on time
2. Consider the problem: Tyler painted square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square yard of wall? a. Write multiplication and division equations to represent the situation, Draw a diagram to represent the answer of the question.
Answer:
I will try my best. Don't really know if this is correct.
Step-by-step explanation:
Well, first, you will have to get a mixed number, 9/2. And then divide 9/2 to 3/1. ( 9/2 divided by 3/1 = ? ) Then, multiply the equation. ( ? x 3 = 9/2 )
Last, draw a diagram to represent the answer.
9/2 = ? ? ? (Pretend that is a diagram) ? = 3/2 gallon
You will have to simplify the answer to get 3/2 gallon.
Look, I tried my best trying to explain everything, this question is very confusing and hard to do.
Austin borrowed $3000 from the bank at a rate of 2.25% simple interest per year. How much total did he have to pay back after 5 years?
Answer:
Austin will have to pay $33,750 for the simple interest.
Step-by-step explanation:
2.25% into decimal = 0.0225
0.0225 x 3000 = 6750
6750 x 5 = 33750
If a two story home has a ground floor of 25*30 feet and second floor of 20*30 feet, what is the total square footage of the home?
Answer: 1350 ft^2
Step-by-step explanation:
The total square footage of the home will be equal to the sum of the areas of each floor.
We know that the ground floor is 25 ft by 30ft, which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.
We know that te area of a rectangle of width W and length L is:
A = L*W
then the area of the ground floor is:
A = 25ft*30ft = 750 ft^2
And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:
A = 20ft*30ft = 600ft^2
Then the total square footage of the home is:
SF = 750ft^2 + 600ft^2 = 1350 ft^2
The total square footage of the home will be 1350 feet².
Based on the information given, the area of the first floor will be:
= 25 × 30
= 750 feet²
The area of the second floor will be;
= 20 × 30
= 600 feet ²
The total square footage will be:
= 750 + 600
= 1350 feet ²
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If Delta AGM sim Delta KXD , find the value of x.
For ΔKXD, x = 21
Similar triangles:"The triangles that have corresponding sides in proportion to each other and corresponding angles are equal."
For given question,
ΔAGM is similar to ΔKXD
This means,
[tex]\frac{AG}{KX} = \frac{GM}{XD} = \frac{AM}{KD}[/tex]
Consider,
⇒ [tex]\frac{AG}{KX} = \frac{GM}{XD}[/tex]
⇒ [tex]\frac{32}{x+3} = \frac{36}{x+6}[/tex]
⇒ [tex]32\times (x+6) = 36\times (x+3)[/tex]
⇒ [tex]32x+192=36x+108[/tex]
⇒ [tex]4x = 84[/tex]
⇒ x = 21
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