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 .
5. What is the length of the unknown leg?
Answer: a = 8
Step-by-step explanation:
a² + b² = c²
a² + 6² = 10²
a² + 36 = 100
a² = 100 - 36
a² = 64
a = √64
a = 8
Which statement is true for all functions f(x)?
Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.
Answer:
No
Step-by-step explanation:
3x-8+3x+7-(simplified)-> 6x-1, which does not have (x+5) as a factor
Answer:
NoStep-by-step explanation:
Let's assume (x + 5) is the factor of f(x) = x^3 − 4x^2 + 3x + 7
then f(-5) should be equal to zero. Verifying:
f(-5) = (-5)^3 - 4(-5)^2 +3(-5) + 7 =-125 - 100 - 15 + 7 = -233Since -233 ≠ 0, the statement is false, so (x + 5) is not a factor of given polynomial
PLS HELP ASAP! <3 sorry for caps
Answer:
the answer would be 224/2
Step-by-step explanation:
Using the elimination method to solve
2 x-y=8
x + y = 20
Step-by-step explanation:
2x-y=8
x+y=20
------------
3x=28
×=28÷3=9.3
so
9.3+y=20
y=20-9.3
y=20.7
PLEASE HELP!! THANK YOU!!
Step-by-step explanation:
i know the coordinates are ( 0,-3 1/2 ) or ( 0, -3.5 ) for D
Answer:
(0,-2)
Step-by-step explanation:
Parallelograms have parallel lines and equal opposite lines.
You can count.
For Ex: A is 1 above and 5 to the left of B.
So D should be 1 above and 5 to the left of C.
C is at (5,-3)
Go up 1 and left 5 and you get (0,-2)
Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?
Answer:
8 minutes
Step-by-step explanation:
48/3 = 16
That means he can download 16 songs in 1 minute.
128/16 = 8
This means he takes 8 minutes to download 128 songs.
What is the average rate of change for [-1,2]?
Answer:
Step-by-step explanation:
The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.
Can someone help me please? I will give brainly
Answer:106 I think
Step-by-step explanation: If its 2z+7w and z and w means 8 it makes 2z 28 and makes 7w 78 and then u add 28+78= 106
Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?
Answer:
Let's represent pink flowering plants with the variable p:
8p + 5(15 - p) = 96
8p + 75 - 5p = 96
3p = 21
p = 7
Step-by-step explanation:
Arianna bought 7 pink flowering plants
Answer:
B) 7
Step-by-step explanation:
took the test on edg
what is the MAD of 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89 ?
I'm very confused.
Answer:
11.16
Step-by-step explanation:
hope this helps
can someone please help me out on this
Answer:
a.
Step-by-step explanation:
for A, put a dot on (0,2) and (1,5) and connect them (arrow should be pointing up)
then make another line by plotting a dot on (0,-2) and (1,-4) (arrow should be pointing down)
since the < and > have an equal to (_) line at the bottom, the point/dot at (0,2) and (0,-2) have to be filled in
what is the answer to this?
Answer:
[tex] < 1 = 48[/tex]
Step-by-step explanation:
[tex] < 1 + 132 = 180[/tex]
[tex] < 1 = 180 - 132[/tex]
[tex] < 1 = 48[/tex]
because it's a straight angle(180)
The price of a skateboard was reduced from $150 to $90. By what percentage was the price of the skateboard reduced?
Answer:
40%
Step-by-step explanation:
Ignore the zeros, then think about the 15 ‘s multiplication table. Once you do, you will find that 90 is 15 times 6, which is 60%. And 100-60 is obviously 40. Hope this helps.
The percentage that was reduced from the original price is 40 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
The original price of the skateboard = $ 150
The reduced price of the skateboard = $ 90
The difference between the original price and reduced price =
Original price of the skateboard - Reduced price of the skateboard
The difference between the original price and reduced price = 150 - 90
= $ 60
Let the percentage decrease be A
Now the equation will be
Original price of the skateboard - A % ( Original price of the skateboard ) =
Reduced price of the skateboard
So ,
150 - A/100 ( 150 ) = 90
Adding A/100 ( 150 ) on both sides , we get
A/100 ( 150 ) + 90 = 150
Subtracting 90 on both sides , we get
A/100 ( 150 ) = 60
Multiply by 100 on both sides , we get
150A = 6000
Divide by 150 on both sides , we get
A = 40 %
Hence , the percentage at which the price of the skateboard reduced is 40%
To learn more about percentage click :
https://brainly.com/question/12861068
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MATH QUESITON - PLEASE ANSWER ASAP
Please look at the picture below and give me answers to both the questions.
Answer:
16)
Bobby - 70
Hannah - 90 (Wins the round)
Carlos - 80
17)
Bobby - 7 (Wins the round)
Hannah - 3
Carlos - 5
Step-by-step explanation:
First we can make the variable n into each of the values they chose for the equations. Let's start with 16.
The equation is - (3+7) X (10 - n ÷2)
Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.
USE PEMDAS!!!
16)
Bobby -
1. (3+7) X (10 - 6 ÷2)
2. 10 X (10 - 6 ÷ 2)
3. 10 X 7
4. Answer for Bobby - 70
Hannah -
1. (3+7) X (10 - 2 ÷2)
2. 10 X (10- 2 ÷2)
3. 10 X 9
4. Answer for Hannah - 90 (Wins the round)
Carlos -
1. (3+7) X (10 - 4 ÷2)
2. 10 X (10 - 4 ÷ 2)
3. 10 X 8
4. Answer for Carlos - 80
17)
Bobby -
1. (2 X 6 + 2) ÷ 2
2. (12 + 2) ÷ 2
3. 14 ÷ 2
4. Answer for Bobby - 7 (Wins the round)
Hannah -
1. (2 X 2 + 2) ÷ 2
2. (4+2) ÷ 2
3. 6 ÷ 2
4. Answer for Hannah - 3
Carlos -
1. (2 X 4 + 2) ÷ 2
2. (8+2) ÷ 2
3. 10 ÷ 2
4. Answer for Carlos - 5
Hope this Helps!!! :)
Let me know if I should change anything or if the answer was perfect!!!
During a movie, Tanvi ate 4/5 of a handful of snack mix, and Wyatt ate 2/5 of a handful. How much more did Tanvi eat?
Answer: 2/5
Step-by-step explanation:
PLEASE LOOK AT PICTURE! WHOEVER HAD CORRECT ANWSER I WILL MARK BRAINIEST!!!
Answer:
B : y − 3 = 2/3 ⋅ ( x − 3 )
Step-by-step explanation:
Answer:
B, but if I am only 95 percent sure.
Step-by-step explanation:
A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?
2. Consider the following graph of a quadratic function.
a Doline the domain
b. Define the range
c. Where is the graph increasing
d. Where is the graph decreasing
. Identify any relative maximums.
1 Identily any relative minimums
10 points!!!
Answer:
Domain is all real numbers.
Range is -3 to infinity that is y >= -3 (that is y -3)
Increasing from x > -4 ( that is from -4 to +infinity) that is to right of -4
Decreasing from x <-4 (that is -infinity to -4) that is to left of -4
This has a minima at x= -4 with y= -3. We can write as (-4, -3)
Maxima is not there as it is going to infinity
Step-by-step explanation:
How do u show work for this problem
Answer:
im not seeing the problem...
Select all the points that are on the graph of the line 2x + 3y = 6
Answer:
The points are;
X Y
3 0
0 2
12 -6
15 -8
This is in no particular order.
Step-by-step explanation:
g(c)=19−c^2
What is g(4)?
Enter your answer in the box.
Answer:
g(4)=3
Step-by-step explanation:
Answer:
g = 19
Step-by-step explanation:
Given: AB || DC, AD || BC
Prove:
Answer:
Reasons:
2. Opposite interior angles
4. Opposite interior angles
5. Same line
6. Congruence
Step-by-step explanation:
Can someone help within 10 min Help plz
Answer:
-6x + y < 3
Step-by-step explanation:
After y = 3 the shading hits the y axis!
Brainliest Appreciated! Hope I helped!
Simplify the expression. 3.7z to the power of 2+7.2+9z-1.2-2z+z to the power of 2.
Please help
Please help due soon!
Plsss help ty I’ll mark u
Answer:
7/4 meter
Step-by-step explanation:
their all in fractions of 8 so let reduce
Corn - 8 goes into 19 twice with the remander of 3 --> 2 and 3/8
Pepper 5/8 cause that cant be reduced any lower
Squash - 7/8 cant be reduced any more
Now its asking to subtract the tallest plant from the smallest to see the diffrence
The tallest plant is Corn and the shortest is Pepper
19/8 - 5/8 = 14/8
reduce 7/4
Answer:
It is 14/5 meters taller.
Step-by-step explanation:
[tex]\frac{19}{8}[/tex] - [tex]\frac{5}{8}[/tex] = [tex]\frac{14}{8}[/tex]
PLEASE ANSWER THIS ASAP !!!!!!
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus
y = - x ← equation of line
Finish solving the system of equations X -5 y =6 and-x+2y=_3 what is the value of y substitute the value of y back into one of the original equation to find the value of x what is the value of x
please see my steps to work this problem
How many solutions does the system of equations below have?
y = 3x + 4
y + 6 = 3x
Answer:
0 / no solutions
Step-by-step explanation:
Rewrite both in terms to the form y = equation.
EQ1: y = 3x + 4 (already in correct form)
EQ2: y = 3x - 6 (subtracting 6 from both sides).
Now suppose there is an intersection, then:
3x + 4 = 3x - 6, subtracting 3x from both sides gives:
4 = -6, which is a contradiction!
Therefore there are 0 / no solutions