Answer:
[tex]s^2 = 0.01[/tex]
Step-by-step explanation:
Given
Values: 9/5, 9/5, 2, 9/5
Required
Calculate the sample variance
Sample variance is calculated using:
[tex]s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}[/tex]
First, we calculate the mean
[tex]\overline x = \frac{\sum x}{n}[/tex]
[tex]\overline x = \frac{9/5 + 9/5 + 2 + 9/5}{4}[/tex]
[tex]\overline x = \frac{7.4}{4}[/tex]
[tex]\overline x = 1.85[/tex]
[tex]s^2 = \frac{\sum (x_i - \overline x)^2}{n - 1}[/tex] becomes
[tex]s^2 = \frac{(9/5 - 1.85)^2+(9/5 - 1.85)^2+(2 - 1.85)^2+(9/5 - 1.85)^2}{4 - 1}[/tex]
[tex]s^2 = \frac{(-0.05)^2+(-0.05)^2+(0.15)^2+(-0.05)^2}{4 - 1}[/tex]
[tex]s^2 = \frac{0.0025+0.0025+0.0225+0.0025}{3}[/tex]
[tex]s^2 = \frac{0.03}{3}[/tex]
[tex]s^2 = 0.01[/tex]
Hence, the variance is 0.01
Iona and Jamey have lunch at a bistro. The bill totals $29.75, and they leave their server a 24% tip. How much total money do they pay?
Answer:
$36.89
Step-by-step explanation:
Given data
Totals $29.75
tip= 24% tip
=24/100*29.75
=0.24*29.75
=7.14
In all the bill is 7.14+29.75
=$36.89
f(x) = -1152 – 90x® + 216x2 + 288x + 9x4
Answer:
F(x) = 43/16 (43 over 16)
WORTH 20 POINTS
please help me I really need help
Answer:
18.4
Step-by-step explanation:
9.2 + 9.2 = 18.4
3(s + 4) = 30 what the value of s
Answer:
s=6
Step-by-step explanation:
Hope this helps :)
The value of s for the given expression 3(s + 4 = 30 will be 6.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
3(s + 4) = 30
Divide both sides by 3
s + 4 = 10
Subtract both sides by 4
s + 4 - 4 = 10 - 4
s = 6
Hence "The value of s for the given expression 3(s + 4 = 30 will be 6".
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To keep her pet groundhog Marley happy, Gwen built a rectangular pen for Marley with an area of 242 square feet. She only had 66 feet of fencing to use, and wanted the length to be twice as long as the width. What are the dimensions of the pen?
help I'm doing an assignment and im stuck
Answer your answer is correct it is 9
Step-by-step explanation:
Answer:your correct! btw heyy
Step-by-step explanation:
3x+16=7x
answer please
Answer:
x = 4
Step-by-step explanation:
We have the algebraic expression 3x + 16 = 7x and are asked to solve.
When we need to solve for x, we need to get x alone always.
So 3x + 16 = 7x.
Subtract 3x from both sides :
16 = 4x
Divide 4 from both sides :
x = 4
Answer:
[tex] \large \boxed{x = 4}[/tex]
Step-by-step explanation:
Goal
Solve for x-term.Given
Equation[tex]3x + 16 = 7x[/tex]
Step 1
Combine like terms. We move 3x to subtract 7x since we can't add with a constant with a variable.[tex]16 = 7x - 3x \\ 16 = 4x[/tex]
Step 2
Move 4 to divide 16 because we need to make x-term as the subject of equation.[tex] \frac{16}{4} = x \\ 4 = x[/tex]
Step 3
If you are not sure that the answer is correct, we can check the answer by substituting x = 4 in the equation.[tex]3x + 16 = 7x \longrightarrow 3(4) + 16 = 7(4) \\ 12 + 16 = 28 \\ 28 = 28[/tex]
The equation is true for x = 4. Hence, the solution is x = 4
PLEASE HELP :))
3
Solve for x.
6
12
5
r-1
Answer:
12 is the answer
Step-by-step explanation:
12 is the answer
How would I get the answer to this problem.
Answer:
[tex]\displaystyle m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 7)
Point (9, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-7}{9-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2}{6}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{-1}{3}[/tex]If g(x) = x^2-5, find the value(s) of x so that:
a. g(x)= 20
b. g(x) = 6
9514 1404 393
Answer:
a) x = ±5
b) x = ±√11 ≈ ±3.317
Step-by-step explanation:
Since we want x for some function value, it is convenient to determine the inverse function.
x = g(y)
x = y^2 -5
x +5 = y^2
y = ±√(x +5)
__
a) x = ±√(20 +5) = ±5
b) x = ±√(6 +5) = ±√11 ≈ ±3.317
The cost of every college is expected to increase 3.5%
next year.
The cost to attend Westish College is currently $18000.
What is the expected cost to attend Westish College
next year?
Answer:
$18,630
Step-by-step explanation:
The cost of every college is expected to increase 3.5% next year.
The cost to attend Westish College is currently $18000.
What is the expected cost to attend Westish College next year?
The increase in the cost for next year is calculated as:
3.5 % × Current cost
= 3.5% × $18,000
= $630.
The expected cost to attend Westish college next year=
$18,000 + $630
= $18,630
Find the geometric mean for the pair of numbers,
5 and 9.8
Answer:
7
Step-by-step explanation:
To find the geometric mean of two numbers, just find the product of those numbers and take the square root!
5 x 9.8 = 49
√49 = 7
I hope this helped!
Sincerely,
Rekifromsk8theinfinity
:D
5
.
The coordinates of A are (4,5) and the coordinates
of B are (10, y). If the midpoint of AB is (7, -2),
find the value of y.
Answer:
5
Step-by-step explanation:
Question 10 of 10
Which of the following is(are) the solution(s) to . |x+8|= 1?
Answer:
The solutions are x = -7 and x = -9
Step-by-step explanation:
All absolute values are non-negative numbers, so x + 8 will always be greater than 0. This means that |x + 8| = 1 can be represented as x + 8 = 1 AND x + 8 = -1.
x + 8 = 1 ⇒ x = -7
x + 8 = -1 ⇒ x = -9
So the solutions are x equals -7 or -9.
Help me with those two questions
Given:
A figure in which a transversal line intersect two parallel lines.
[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
[tex]m\angle 2=m\angle 7[/tex] (Alternate exterior angles are equal)
[tex]4x+7=5x-13[/tex]
[tex]7+13=5x-4x[/tex]
[tex]20=x[/tex]
Therefore, the value of x is 20.
Now,
[tex]\angle 3+\angle 5=180[/tex] (Same sided interior angles are supplementary)
[tex]3y-2+68=180[/tex]
[tex]3y+66=180[/tex]
[tex]3y=180-66[/tex]
[tex]y=\dfrac{180-66}{3}[/tex]
[tex]y=\dfrac{114}{3}[/tex]
[tex]y=38[/tex]
Therefore, the value of y is 38.
What digit has the thousandths value in two hundred forty-six ten thousandths? *
1 point
A. 2
B. 6
C. 4
D. 10
please help a girl out I'm so confused
Answer:
first pays 60
Step-by-step explanation:
math work pls help :)
Answer:
C ASA
Angle side Angle.....
A velocity field (in m/s units) is given by u = 2x 2 y, v = − xy2 , w = 0. (a) Obtain the streamline equation and plot several streamlines in the domain 0 x 5, 0 y 5. (b) Find the velocity vector at point (1, 2),
Answer:
I don't know but, try your hardest you can do it! I know you can!
Marty's class collected $34.00 in a school-wide penny collection contest. If Tommy's class added $3.00 to the amount they
collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class.
2(x + $3.00)= $34.00
How much money did Tommy's class collect?
Ο Α.
$20.00
OB.
$17.00
O C.
$3.00
OD.
$14.00
Answer:
the answer that you are looking for is D
Step-by-step explanation:
The Tommy's class collect the amount of 14 dollar.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.
We need to find the solutions of the equation 2(x + $3.00)= $34.00 ;
Now solving for x;
2(x + $3.00)= $34.00
Open the bracket;
2x + 6 = 34
Combine the like terms;
2x = 34 - 6
2x = 28
x = 14
Therefore, the equation 2(x + $3.00)= $34.00 has only one solution which is 14.
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Find the value of x pls help thank u so much
Answer:
7.81
Step-by-step explanation:
Answer:
[tex] \sqrt{66} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]BD = \sqrt{6 \times 5} = \sqrt{30} \\ \\ In \: \triangle ABD: \\ by \: pythagoras \: theorem : \\ \\ AD^2 = AB^2 + BD^2 \\ \\ {x}^{2} = {6}^{2} + {( \sqrt{30}) }^{2} \\ \\ {x}^{2} = 36 + 30 \\ \\ {x}^{2} = 66 \\ \\ x = \sqrt{66} [/tex]
the line with a slope of 1/3 and a y- intercept of - 15 intersects the line passing through which of these pairs of points?
Answer:
Options (C), (D) and (E)
Step-by-step explanation:
Slope of the given line = [tex]\frac{1}{3}[/tex]
Any line having same slope will be parallel to the given line otherwise the lines will intersect.
Therefore, we will find the slope of the lines passing through two points given in the options.
Option A
Slope of the line passing through (12, -13) and (15, -12)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{-13+12}{12-15}[/tex]
= [tex]\frac{1}{3}[/tex]
Therefore, both the lines are parallel having no point of intersection.
Option B
Slope = [tex]\frac{-9+7}{18-24}[/tex]
= [tex]\frac{1}{3}[/tex]
Both the lines are parallel having no point of intersection.
Option C
Slope = [tex]\frac{-20+21}{15-18}[/tex]
= [tex]-\frac{1}{3}[/tex]
Therefore, both the lines will intersect.
Option D
Slope = [tex]\frac{-15+14}{30-36}[/tex]
= [tex]\frac{1}{6}[/tex]
Both the lines will intersect each other.
Option E
Slope = [tex]\frac{-11+10}{24-30}[/tex]
= [tex]\frac{1}{6}[/tex]
Both the lines will intersect each other at a point.
Options (C), (D) and (E) are the correct options.
A paint store sells an orange paint that is made by combining 7 parts red with 4 parts
yellow. A customer tried to recreate the order at home, but made a mistake. Her
container has 4 parts red paint and 8 parts yellow paint. How much red paint does she
need to add to get the correct shade of orange?
Answer:
10 parts red paint
Step-by-step explanation:
she doubled the amount of yellow paint in the can at home, so you will need to add twice the amount of red paint. 7×2=14, 14-4= 10.
pls help me I will mark the first one to say don't need explanation
Answer:
m = -1/3
Step-by-step explanation:
By using rise over run, the slope is going 1 down and 3 across.
Answer:
-63
Step-by-step explanation:
Solve for x. Round to two decimal places if necessary.
Answer:
Length of JK is 68.27 units.
Step-by-step explanation:
By applying geometric mean theorem (leg theorem) in the triangle attached,
[tex]\frac{KL}{KM}= \frac{JK}{KL}[/tex]
(KL)² = (KM)(JK)
(32)² = (15)(x)
x = [tex]\frac{1024}{15}[/tex]
x = 68.2666
x ≈ 68.27
Therefore, length of JK is 68.27 units.
Can anybody help me with this please
Answer:
c
Step-by-step explanation:
180-24-30=126
3x-9=126
3x=135
x=45
2400 people attended a basketball game. 696 of the people attending supported the home team, while 1704 supported the visiting team. What percentage of people attending supported the home team?
Answer:
0.29 or 29 percent I put it on god
Step-by-step explanation:
The percentage of people attending supported the home team is 29%.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, 2400 people attended a basketball game. 696 of the people attending supported the home team, while 1704 supported the visiting team.
From the general formula of percentage:
percentage = value/ total value * 100
Since, Out of 2400 only 696 supported the home team
thus,
Percentage = 696/2400*100
Percentage = 29%
Therefore, 29% percentage of people attending supported the home team.
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helpppp plssss :))))))((((
Answer:
a= 80
b= .25
Step-by-step explanation:
We know that a has to equal 80 because
[tex]a(b)^0=80\\a=80[/tex]
We can then just solve for b
[tex]80(b)^1=20\\b=\frac{20}{80} \\b=.25[/tex]
Need help and I need it fast plz
Answer:
The answer is b can i have brainliest
Step-by-step explanation:
Answer:
it's b :)
Step-by-step explanation:
Expand and simplify (2x+1)(x+3)
Answer:
2x^2+7x+3
Step-by-step explanation:
(2x+1)(x+3)
2x^2+x+6x+3
2x^2+7x+3