In a normal distribution, 51 is the score that is two standard deviations above the mean, and 36 is the score one standard deviation below the mean. Find the mean
Answer:
The mean is 41
Step-by-step explanation:
Here , we are interested in finding the mean.
Firstly, let the standard deviation be x and the mean be y.
We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.
Mathematically;
51 - 2(x) = y
y + 2x = 51 •••••••••(i)
We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36
Mathematically, that would be;
y-36 = x •••••••(ii)
Substitute ii into i directly;
We have
y + 2(y-36) = 51
y + 2y -72 = 51
3y -72 = 51
3y = 51 + 72
3y = 123
y = 123/3
y = 41
List four signs that you can replace the equal sign (=) with in a linear equation to produce a linear inequality.
Answer:
>;
>__
Step-by-step explanation:
What is N equal to? I think I know I want to make sure tho :/
Answer:
n = 5/7 or 0.7
Step-by-step explanation:
The goal is to isolate the variable N. First, you distribute the fractions to their repsective parentheses.
1/2(5n + 8) = 3/4(12 - 6n)
2.5n + 4 = 9 - 4.5n
2.5n + 4.5n = 9 - 4
7n = 5
Divide both sides by 7, and you get n = 5/7 or 0.7
Malcolm wrote 294 more lines of code than Sheila. Sheila wrote 1,275 lines of code. How many lines of code did Malcolm write?
Answer: 1,569
Step-by-step explanation: you just add how much Sheila wrote and how much more the statement said Malcolm wrote.
Answer:
1,569
Step-by-step explanation:
Since it says Malcolm wrote 294 more lines than Sheila, Malcolm is going to have a higher number of lines of code than Sheila.
To solve:
1,275 + 294 = 1,569
A game at the state fair has a circular target with a radius of 10.7 cm on a square board measuring 30 cm on a side. Players win prizes if they throw a dart and hit the circular area only.
What is the probability of a player winning with one dart?
Answer:
The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square
Step-by-step explanation:
= π/9
18 + 3r
What is the exppression equivalent?
18 + 3r
3 3
6 + r
3(r+6)
PLAYGROUND There are 87 children at a playground. There are 23 more boys than girls. How many of each are at the playground?
Answer:
G=32 B=55
Step-by-step explanation:
55+32=87
I know this answer is right bc I got it right on my ws.
How to write 100100 in words
Evaluate ab – 0.5b when a = 1 and b = 5
help me pls math is so confusing
FIRST TO ANSWER GETS BRAINLIEST!!!
Solve using Elimination
5x-4y=14
4x+7y=1
Answer:
y=-1
x=2
Step-by-step explanation:
5x-4y=14 multiply by 4
4x+7y=1 multiply by 5
20x-16y=56
20x+35y=5 eliminate by subtracting
-51y=51
y=-1
plug back in to get x
4x+7(-1)=1
x= 2
If one kilogram equals 2.2 pounds how many kilograms equal 112 pounds
Answer & Step-by-step explanation:
Assuming that there is a constant rate of change, we can use the equation:
[tex]y=kx[/tex]
k is the constant rate of change. Set up an equation in which the pounds are determined by the rate of change between kilograms and pounds:
[tex]1=k(2.2)[/tex]
Isolate the variable k:
[tex]\frac{1}{2.2}=\frac{k(2.2)}{2.2}\\\\\frac{1}{2.2}=k[/tex]
Set up another equation like so:
[tex]\frac{y}{x}=\frac{y}{x}[/tex]
Insert values:
[tex]\frac{1}{2.2}=\frac{y}{112}[/tex]
Solve for y. Cross multiply:
[tex]1(112)=2.2y\\\\112=2.2y[/tex]
Isolate the variable. Divide both sides by 2.2:
[tex]\frac{112}{2.2}=\frac{2.2y}{2.2} \\\\ y=50.9090...[/tex]
So, there are about 50.9 kilograms in 112 pounds.
:Done
find the product (-4)(-2) , find the product (-8)(-3) which product is greater
DIFFERENT ANWSER BTW
next Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that player's movements for those 5 turns. AND YES I HAVE A TEST DUE TONIGHT
Answer: 8, 24, and 24 is greater
Step-by-step explanation:
(-4)(-2) = 8
(-8)(-3) = 24
8 < 24
Given ABCE is a rectangle, find the length of AD
Help me
Answer:
AD = 10
Step-by-step explanation:
It's given that ABCE is a rectangle.
Therefore, measure of opposite sides of the rectangle will be equal.
AB = EC
AB = ED + DC
12 = ED + 4
ED = 8
Measure of side AE = 6
Since, measure of interior angles of a rectangle = 90°
Therefore, ΔEAD will be a right triangle.
By Pythagoras theorem,
AD² = AE² + ED²
= 6² + 8²
AD = [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Therefore, measure of side AD = 10 units
what does x and y equal ?
Answer:
Solve for x or y, Ax + By = 0
x=1 y=unknown number.
Step-by-step explanation:
3
Find the side length of a cube with a volume of 141 yd
Answer:
Do you have a picture of the problem/graph?
Step-by-step explanation:
Only then, can i provide an acurate answer!
pls & thx
what is 4(3x+5) i need help
Answer:
As an equation its 12x+20
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
1. 3a -4a -5a
2. -7a + a - 2a
3. - 8a + 4a -a
4. -2a -2a + 3a
5. -2a + 2a - 3a
6. -6a + 3b - 4c -8 + a -3b -4c + 4
Answer:
1. -6a
2. -8a
3. -5a
4. -a
5. -3a
6. -6a -8c -4
Step-by-step explanation:
All you need to do is combine like terms
one third of one seventh of a land is sold for RS. 30000.What is the value of land?
Answer:
Step-by-step explanation:
Let the value of the land = Rs . 30000
[tex]\frac{1}{3}of\frac{1}{7}of x = 30000\\\\\\\frac{1}{3}*\frac{1}{7}*x = 30000\\\\\\x = 30000*\frac{3}{1}*\frac{7}{1}\\\\\\[/tex]
x = Rs. 630000
please answer this for me
Answer:
B (5,2)
Step-by-step explanation:
Question 9
To calculate momentum, the following two variables are needed:
mass and velocity
mass and acceleration
O temperature and velocity
speed and acceleration
Answer:
Step-by-step explanation:
Mass and velocitry
what is the lowest common denominator for 31/40 and 5/6?
answer : 31/40 = 93/120
5/6 = 100/120
what are the first 4 terms in the sequence defined by the explicit rule f(n)=n²+2?
a 1 2 3 4
b 3 6 11 18
c 4 6 8 10
d 9 16 25 36
Answer:
b
Step-by-step explanation:
What is the supplement of a 110 degree angle
Answer: 70 degrees
Step-by-step explanation: The supplement of an angle is the angle that has to be added to make 180°. So, the supplement of 110° is 70° because 110+70= 180.
20% of the gummy bears in a bag are blue. There are 12 blue gummy bears in the bag. Shade the grid to show the percent of gummy bears that are blue. How many gummy bears are in the bag?
Answer:
60 gummy bears in total
Step-by-step explanation:
20% of the gummy bears are blue.
12 gummy bears are blue
That means 6 gummy bears is 10% of the total.
6*10=60
100%=60 gummy bears.
The perimeter of a square is defined by the function p(s)=4s if the perimeter is no more than 48 cm, which statement describes the domain for s, the side length of the square?
A. 0 < s ≤ 12
B. [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ]
C. All real numbers
D. s ≤ 12
Answer:
A. 0 < s ≤ 12Step-by-step explanation:
Given
p(s) = 4sIf
P ≤ 48Then
4s ≤ 48s ≤ 12Since perimeter can't be negative or zero, the domain will be:
0 < s ≤ 12Correct choice is A
Two trucks leave a factory at the same time. One travels east at 60 miles per hour, and the other travels west at 30 miles per hour. In how many hours will they be 150 miles apart? A 1-2/3 hours B 2 hours C 2-1/2 hours D 5 hours
5. What is an equation in point-stope form for the line perpendicular to y = 2x + 13 that contains (8,-4)?
y+8= - (2-4)
O y + 4 = 2(x - 8)
O x + 4 = 2(y - 8)
1
y + 4 =
Answer:
y - (-4) = (-1/2)(x - 8)
y + 4 = (-1/2)x + 4
y = (-1/2)x
orrrr...
-4 = (-1/2)(8) + b
-4 = -4 + b
b = 0
Well, we don't write "+ 0" because that's just extra work.
y = (-1/2)x
mark me as brainlist
21x-13= 10x+31
Find uv if the value x=4
Which of the following is equivalent to √54 ? 9√6 3 √9 3 √6 2√27