n/r = b/a
n*a = b*r
a = b*r/n... Hope this will help...
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
What is the slope of the line through(-4,2) and (3,-3)?
Answer: [tex]-\frac{5}{7}[/tex]
Step-by-step explanation:
To find the slope of the line, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-3-2}{3-(-4)} =\frac{-5}{7}[/tex]
Now we know the slope is [tex]-\frac{5}{7}[/tex].
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.
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
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 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:
Which number line represents all of the values of x for the equation x? = 647
-032-16
7
32
-10
-32-
32
12-16
32
40
-4032-N-16
-
16
3240
Answer:
the 2nd answer.
Step-by-step explanation:
8*8 = 64.
-8 * -8 = 64
How to write 100100 in words
Help me if someone can help
Answer:
1.11111111 is rational
1.567 is a rational number.
Step-by-step explanation:
1.11111111 is rational
1.567 is a rational number.
1.101101110 is irrational
so its choice 1 and 2
Find the value of each variable by getting a quadratic equation equal to 0 first, then solve. Justify x^2 + 32 = 12x
Answer:
x = 4 ; x = 8
Step-by-step explanation:
[tex]x^2 + 32 = 12x[/tex]
bring all the terms to one side and set equal to 0
[tex]x^2 - 12x + 32 = 0[/tex]
factor the polynomial
[tex](x-8)(x-4) = 0[/tex]
set each factor equal to zero and solve
[tex](x-8) = 0 \\x - 8 = 0 \\x = 8[/tex]
[tex](x-4)=0\\x-4 = 0\\x = 4[/tex]
What type of quantity is momentum? (2 points)
It is a scalar quantity because it involves magnitude only.
It is a vector quantity because it involves magnitude only.
It is a scalar quantity because it involves magnitude and direction.
It is a vector quantity because it involves magnitude and direction.
Answer:
it is a scalar quantity because it involves magnitude only.
Step-by-step explanation:
what does x and y equal ?
Answer:
Solve for x or y, Ax + By = 0
x=1 y=unknown number.
Step-by-step explanation:
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
Which expressions have a sum of 12?
Answer:
First one.
Step-by-step explanation:
4+(-8) -10+22 =12
24+(-12) 0+ (-12) =-24
Please brainliest! Im on my way to another rank!
The expression 24 + (-12) has a sum of 12 after applying the arithmetic operation options (b) and (c) is correct.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The expressions are shown in the picture.
After solving using Arithmetic operation:
Take the expression:
= 24 - 12
= 12
-10 + 22
= 12
Thus, options (b) and (c) are correct.
Learn more about the arithmetic operations here:
brainly.com/question/25834626
#SPJ2
help me pleaseeeee
:))))
Answer:
-6/7
Step-by-step explanation:
since both fractions have a common denominator (bottom part of fraction) you would end up subtracting 4-10 which would give you a -6. the denominator stays 7 so you end up with -6/7
[tex] \large{ \underline{ \bf{ \pink{ \ast \: hello \: mates \: \ast}}}}[/tex]
Here is a question for you....
✓ In the attachment, a question related to absolute value is given, and I need calculation along with the answer of the question.
Do explain the answer with proper explanation and spam answers are not allowed !!
Answer:
0
Step-by-step explanation:
[tex]2018 \times (|\frac{1}{2017} - \frac{1}{2016} | + |\frac{1}{2018} - \frac{1}{2017}| - |\frac{1}{2018} - \frac{1}{2016}|)[/tex]
1/2017 is smaller than 1/2016. 1/2018 is smaller than 1/2017. And 1/2018 is smaller than 1/2016. So we can rewrite this as:
[tex]2018 \times ((\frac{1}{2016} - \frac{1}{2017} ) + (\frac{1}{2017} - \frac{1}{2018}) - (\frac{1}{2016} - \frac{1}{2018}))[/tex]
Distribute:
[tex]2018 \times (\frac{1}{2016} - \frac{1}{2017} + \frac{1}{2017} - \frac{1}{2018} - \frac{1}{2016} + \frac{1}{2018})[/tex]
Simplify:
[tex]2018 \times (0)[/tex]
[tex]0[/tex]
which is the solution to this system of equations?
2x+y=8
2x+y=4
Answer:
2x+y=8
x=3 y=2
2x+y=4
x=1.5 y=1
Step-by-step explanation:
I dont have a step by step answer but i hope this helps!
what is the lowest common denominator for 31/40 and 5/6?
answer : 31/40 = 93/120
5/6 = 100/120
Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°.)
(5x+60)
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.
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
What is the area of a rectangle with a length of 418 feet and a width of 2 feet?
Point P is 3/4 of the way from A to B. What are the coordinates of
point P?
В
2
x
-2
O
-2
A
O (-6.5, -9.5)
O (-3.5, 1.25)
O (1.5, 5.25)
O (-4,-0.5)
Answer:
B. (-3.5, 1.25)
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
Evaluate ab – 0.5b when a = 1 and b = 5
The area of a square is given by A = 82, where s is the length of each side of the square.
If the area of a square room is 81 square meters, what is the length of 1 side of the room,
in meters?
Answer:
The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.
Step-by-step explanation:
Hope dis helps
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
For each graph write the domain and range using inequalities.
Answer:
to find the domain and range you need to take (x,y)
domain would be all the x coordinates in number order or 1,2,3,4. same for range but with the y-coordinates.
if you have r{2,2,2} then you should but just r;{2}
hope i helped
What is the solution of the following one-step equation?
10. X + 5 = 10
a. X = -15 c. X = 5 b. X = 15 d. x = -5
Answer:
x = 5
Step-by-step explanation:
Given
x + 5 = 10 ( isolate x by subtracting 5 from both sides )
x = 5
what is the additive inverse ( opposite ) of -50
Answer:
50
Step-by-step explanation: