Answer:
n = [tex]\frac{p}{(d-c)}[/tex]
Step-by-step explanation:
The goal is to solve for n meaning n needs to be by itself. In the current formula, n is multiplied by (d-c). Get n by itself by dividing both sides by (d-c).
can someone help please? i’ll give brainliest
Answer:
Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.
Step-by-step explanation:
Let's define toppings as [tex]t[/tex].
If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.
[tex]9.25 + 0.75t[/tex]
If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).
9.25+0.75t ≤ 13.75
Now lets solve the equation.
We can subtract 9.25 from both sides, which gets us
0.75t ≤ 4.5
Now we can divide both sides by 0.75 to isolate t.
t ≤ 6
So, the maximum number of toppings you can order is 6.
Hope this helped!
Answer:
6
Step-by-step explanation:
so default for pizza is 9.25
and toppings vary depending on number so 0.75x
so I guess 9.25+0.75x<=13.75-variable
equation-9.25+0.75x=13.75
solve to get 0.75x=4.5
x is 6 not sure
Evaluate 2y - 10 + 8y when y is 4
Answer:
30Step-by-step explanation:
Given,
y = 4
Now, let's evaluate:
[tex]2y - 10 + 8y[/tex]
Plug the values
[tex] = 2 \times 4 - 10 + 8 \times 4[/tex]
Multiply the numbers
[tex] = 8 - 10 + 32[/tex]
Calculate the sum of positive numbers
[tex] = 40 - 10[/tex]
Subtract the numbers
[tex] = 30[/tex]
Hope this helps...
Best regards!!
Answer:
30
Step-by-step explanation:
To solve your question we must first replace y with the given number. In this case, the number given is 4 so,
2 (4) - 10 + 8 (4)
We can now solve by multiplying 2 by 4 and 8 by 4
2 * 4 = 8
8 * 4 = 32
8 - 10 + 32 = 30
Hope this helps!!
helppppppp (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
Answer:
the data are skewed, D.
Step-by-step explanation:
When multiplying or dividing two numbers with opposite signs, the answer will be 1.negative 2.positive
Answer:
Negative when multiplying
and
Negative when dividing
Step-by-step explanation:
Answer:
I hope these help
Multiplication ;[tex] - \times - = + \\ - \times + = - \\ + \times + = + \\ + \times - = - [/tex]Division ;[tex] + \div - = - \\ + \div + = + \\ - \div - = + \\ - \div + = - [/tex]
BRAINLIEST TO FIRST RIGHT ANSWER The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
b) 1, -4, 6
Step-by-step explanation:
(x-y)^4=
(x-y)(x-y)(x-y)(x-y)=
(x^2-xy-xy-y^2)(x^2-xy-xy-y^2)=
(x^2-2xy-y^2)(x^2-2xy-y^2)=
x^4-4x^3y+6x^2y^2-4xy^3+y^4
please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)
The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.
So the line we want has equation
r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)
where t is any real number.
The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).
What is a vector equation?A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.
Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.
r(t) = q*t + p
r(t) = (14, -8)t + (-4, 12)
r(t) = (14t - 4, 12-8t)
where t is any real number
Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).
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Identify the coefficient of 12b5.
Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.
The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;
The variable is b ;
The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.
The power is the value to which the variable is raised.
Hence,
The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5
Learn blow : https://brainly.com/question/22241464
Bryce is picking out a new lamp at a furniture store. There are 5 kinds of lamp bases and
3 different lampshades. Each lampshade comes in 3 different colors. Bryce also needs to
choose one of the 2 kinds of lightbulbs available. How many different lamps can Bryce choose?
Answer:
80 lamps
Step-by-step explanation:
number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices
5*(3*3)*2
=5*9*2
=40*2
=80
hope it helps :)
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $35.25 and did provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 35.25 B) 5.5 w - 3.25 = 35.25 C) 5.5 w = 35.25 D) 5.5 - 3.25 w = 35.25
Answer: D is correct if it is really (5.5-3.25)w=35.25
(Without parenthesis it doesn't work)
Answer:
B) 5.5 w - 3.25 = 35.25
Step-by-step explanation:
Chad charges $5.50 per window. ( 5.50w )
Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)
The customer would be charged $35.25 at the end. ( = 35.25 )
So, the total of the cost of the windows minus the discount would be $35.25.
5.50w - 3.25 = 35.25
Option B's equation would be most appropriate to solve for w.
HEYY! REALLY SIMPLE QUESTION : ) …..the strange creature moved slowly making terrifying sounds. It looked around…. (Write a story using the following cues somewhere in the story) I JUST NEED SUM IDEAS PLS : ) also ik this is not a math question but oh well I guess..... THANK U!
Answer:
so u could write about its teeth
Step-by-step explanation:
and its legs or its scary presence or its long arms and it erupted from a haunted house
hope this helps : )
i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest
60 points
Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work is shown below, but the last two lines of work are missing.
8x2y−10xy2+12x−15y
(8x2y−10xy2)+(12x−15y)
__[blank 1]__
__[blank 2]__
Select one statement for each blank to correctly complete Lana’s work.
blank 1: 2xy(4x−5y)+3(4x−5y)
blank 1: −4x(2xy+3)+5y(2xy+3)
blank 2: (2xy−3)(4x+5y)
blank 1: −2xy(4x+5y)−3(4x+5y)
blank 2: (2xy+3)(4x−5y)
blank 2: −(2xy+3)(4x−5y
NEED PROOF FOR POINTS
Answer:
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
Step-by-step explanation:
Using factoring group to factor the polynomial 8x²y−10xy²+12x−15y
Step 1: Group the polynomial function
(8x²y−10xy²)+(12x−15y)
Step 2: Factor the common value and variables from the functions in parentheses.
= (2xy*4x - 2xy(5y)) + (3(4x) - 3(5y))
= 2xy(4x-5y)+3(4x-5y)
Step 3: Rearrange the expression by selecting one of the function in parentheses and combine those not in parenthesis.
(2xy+3)(4x-5y)
The final expression gives the factor form of the polynomial.
Hence the statement for each blank that correctly completes Lana's work are;
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
The lengths of the sides of a triangle are in the ratio of 6:6:5. The perimeter of the triangle
is 34 centimeters. Find the length of each side of the triangle.
Hello!
Answer:
12 cm, 12 cm, 10 cm.
Step-by-step explanation:
Given:
Perimeter, or P = 34 cm
Ratio of sides = 6 : 6 : 5
To find the length of each side, we can use a variable in the ratio to find the perimeter:
34 = 6x + 6x + 5x
Combine like terms:
34 = 17x
Solve for x:
34/17 = 17x/17; x = 2
Plug in this value of "x" into each expression for the side-lengths:
6(2) = 12 cm
6(2) = 12 cm
5(2) = 10 cm
Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.
Hope this helped you! :)
Answer:
12, 12 and 10 cm.
Step-by-step explanation:
6 + 6 + 5 = 17
So one side = 6/17 * 34 = 12 cm
One other side is also 12 cm
The third side = 5/17 * 34 = 10 cm.
The perimeter of a triangle is 88 centimeters. If two sides are equally long and the third side is 10 centimeters longer than the others, find the lengths of the three sides. The length of each of the two equally long sides is ____(centimeters,square centimeters) and the length of the longer side is ____ (square centimeters,centimeters).
Answer:
P=2x +2y
2x=2y-p
As given that 2x=2(10)+88
x=108/2
x=54cm
May be it's help you;)
Answer:
The length of each of the two equally long sides is 26 cm
The length of the longer side is 36 cm
Step-by-step explanation:
Let the length of each of the two equal sides be represented by x
The other side = 10 + x
Perimeter of triangle (P) = sum of all sides of the triangle
88 = x + x + 10 + x
88 = 3x + 10
3x = 88 - 10
3x = 78
x = 78/3 = 26
Length of each of the two equally long sides (x) = 26 cm
Length of the longer side = 10 + x = 10 + 26 = 36 cm
Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(-2) plz respond quickly
Answer:
f(-2) = -6
Step-by-step explanation:
f(x) = 5x + 4
Let x=-2
f(-2) = 5*-2 +4
= -10+4
= -6
Answer:
[tex]\boxed{f(-2) = -6}[/tex]
Step-by-step explanation:
[tex]f(x) = 5x-4[/tex]
Put x = -2
[tex]f(-2) = 5(-2)+4\\f(-2) = -10+4\\f(-2) = -6[/tex]
Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.
Answer:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
Step-by-step explanation:
[tex]2x - 5 \le -x +12[/tex]
[tex]2x - 5 +5\le -x +12+5[/tex]
[tex]2x\le -x+17[/tex]
[tex]3x \le17[/tex]
[tex]$x \le \frac{17}{3} $[/tex]
We have
[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]
Interval notation:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?
Answer:
Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.
Step-by-step explanation:
The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.
The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.
ASAP PLZZZ Find the area of the shaded polygons:
Step-by-step explanation:
You can use the Pick's theorem:
[tex]A=i+\dfrac{b}{2}-1[/tex]
where
i - number of lattice points in the interior located in the polygon
b - number of lattice points on the boundary placed on the polygon's perimeter
[tex]1.\\i= 5;\ b=12\\\\A=5+\dfrac{12}{2}-1=5+6-1=10\\\\2.\\i=3;\ b=4\\\\A=3+\dfrac{4}{2}-1=3+2-1=4\\\\3.\\i=5;\ b=10\\\\A=5+\dfrac{10}{2}-1=5+5-1=9[/tex]
Answer:
Of course, the Pick's theorem is the way to solve this question, but consider:
Another approach is using topography:
Gauss's Area Calculation Formula:
[tex]$A=\frac{1}{2} \sum_{i=1}^{n} (x_{i} \cdot y_{i+1}-y_{i} \cdot x_{i+1})$[/tex]
Taking the purple one:
We have 6 points. I will name them:
[tex]A(0, 4);B(0, 0);C(1, 1);D(4, 0);E(4, 4);F(1, 2);[/tex]
[tex]$D=\begin{vmatrix}0& 0& 1 & 4& 4 & 1 & 0\\ 4& 0 & 1 & 0& 4 & 2 & 4 \end{vmatrix}$[/tex]
[tex]D=28-8=20[/tex]
[tex]$A=\frac{20}{2} =10$[/tex]
A line passes through the point (6,1)and has a slope of 3/2. write an equation in slope intercept form
Answer:
Step-by-step explanation:
Slope intercept form : y - y1 = m(x -x1)
m = 3/2
(x1, y1) = (6, 1)
[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]
Answer:
y=3/2 x -8
Step-by-step explanation:
The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got
y=3/2x-8
feet.
The radius of Cylinder A measures
10
7
14
Answer:
14 I think
Step-by-step explanation:
Tell me if I'm wrong
Answer:
14
mark me brainy plz!
Step-by-step explanation:
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
3 > x
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: divide each side by by -2, remembering to flip the inequality
-6/-2 > -2/-2
3 > x
Answer:
x < 3
Step-by-step explanation:
−2(5−4x)<6x−4
Use the distributive property to multiply −2 by 5−4x.
−10+8x<6x−4
Subtract 6x from both sides.
−10+8x−6x<−4
Combine 8x and −6x to get 2x.
−10+2x<−4
Add 10 to both sides.
2x<−4+10
Add −4 and 10 to get 6.
2x<6
Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.
x= 6/2
Divide 6 by 2 to get 3.
x= 3
X< 3
Mark me as brainliest
Which equation gives the length of the altitude of ABC?
Answer:
B. AD = sqrt(CD * BD)
Step-by-step explanation:
By the right triangle altitude theorem,
CD/AD = AD/BD
AD^2 = CD * BD
AD = sqrt(CD * BD)
Answer: B. AD = sqrt(CD * BD)
Answer:
B
Step-by-step explanation:
[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]
[tex]AD^2=CD \cdot BD[/tex]
[tex]AD=\sqrt{CD \cdot BD}[/tex]
In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.
Using Pythagorean theorem:
[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]
Also,
[tex]AD=AC\sin(c)[/tex]
please help attachment
Answer:
v = 7
Step-by-step explanation:
a. v = 5x + 2y
= 5 × 3 + 2 × -4
= 15 + -8
= 7
Sorry I know only the A one anyways , hope this helps :)
Answer:
Step-by-step explanation:
a v = 5x+ 2y = 5*3 + 2*-4 = 7
b 3p(p+5) = 3p^2 =15p
c 4k = 44
k=44/4 =11
i hope the person who had deleted my answer this much explanation is only required if not please say so that I can correct myself by ellaborating ...
Which change can be made to correct the chart?
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer:
3x^3/x = 3x^(3-1) = 3x^2
6x*y = 6xy
x^2y *y = x^2y^(1+1) = x^2y^2
4y*y = 4y^2
Step-by-step explanation:
This can be solved using law of Indices.
The expression 3x^3 should be 3x^2.
Here power of x is three while in output power of x is two hence we need to eliminate power of x by one for that we divide 3x^3 by x
Rule: x^a/x^b = x^(a-b)
3x^3/x = 3x^(3-1) = 3x^2 (answer)
_________________________________
The expression 6x should be 6xy.
here term y is missing hence we multiply 6x with y
rule: a*b = ab
6x*y = 6xy (answer)
_________________________________________________
The expression x^2y should be x^2y^2
Here we need power of y as 2, to do that we multiply x^2y by y.
Rule
x^2*x^b = x(a+b)
x^2y *y = x^2y^(1+1) = x^2y^2 (answer)
_____________________________________________
The expression 4y should be 4y^2\
Here we need power of y as 2, to do that we multiply 4y by y.
Rule
x^2*x^b = x(a+b)
4y*y = 4y^2 (answer)
Answer:
b: the expression 6x should be 6xy
Step-by-step explanation:
i just did on edgen 2020
what is the area of 1/4 of a circle with a radius of 10
Answer:
78.5
Step-by-step explanation:
It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5
The area of 1/4 of a circle with a radius of 10 is 78.5 units²
Given,
1/4 of a circle.
Radius = 10
π = 3.14
We need to find the area of 1/4 of a circle.
What is the area of a circle?It is given as:
Area = πr²
Find the area of 1/4 of a circle.
We have,
Area of a circle = πr²
Radius = 10
1/4 area of a circle:
= 1/4 x πr²
= 1/4 x 3.14 x 10²
= 1/4 x 3.14 x 100
= 78.5 units²
Thus the area of 1/4 of a circle is 78.5 units²
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Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.
Answer:
B
Step-by-step explanation:
3x2 +4=0 whats the answer?
Answer:
False
Step-by-step explanation:
3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Lets do this step by step.
Simplify [tex]\frac{3x - 2}{x} -4[/tex].
To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]
[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]
Combine -4 and [tex]\frac{x}{x}[/tex].
[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]
Combine the numerators over the common denominator.
[tex]\frac{3x - 2 -4x}{x} > 0[/tex]
Subtract 4x from 3x.
[tex]\frac{-x -2}{x} > 0[/tex]
Factor -1 out of -x.
[tex]\frac{-(-x) -2}{x} >0[/tex]
Rewirte -2 as -1 (2).
[tex]\frac{-(x -1 (2)}{x} > 0[/tex]
Factor -1 out of - (x) - 1 (2).
[tex]\frac{-(x + 2)}{x} >0[/tex]
Simplify the Expression.
_______________
Rewrite - ( x + 2 ) as -1 ( x + 2 ) .
[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]
Move the negative in front of the fraction.
[tex]- \frac{x + 2}{x} > 0[/tex]
Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0 and solving.
[tex]x = 0\\x + 2 = 0[/tex]
Subtract 2 from both sides of the equation.
[tex]x = -2[/tex]
Solve for each factor to find the values where the absolute value expression goes from negative to positive.
[tex]x = 0 \\x = -2[/tex]
Consolidate the solutions.
[tex]x = 0, -2[/tex]
________________
Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]
_________________
Set the denominator in [tex]\frac{3x - 2}{x}[/tex] equal to 0 to find where the expression is undefined.
[tex]x = 0[/tex]
The domain is all values of x that make the expression defined.
( - ∞, 0 ) ∪ ( 0 , ∞)
Use each root to create test intervals.
[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]
|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|
Test a value on the interval -2 < x < 0 to see if it makes the inequality true.
Ans : True
Test a value on the interval x > 0 to see if it makes the inequality true.
Ans : False
Test a value on the interval x < -2 to see if it makes the inequality true.
Ans : False
Compare the intervals to determine which ones satisfy the original inequality.
[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]
The solution consists of all of the true intervals.
[tex]-2 < x < 0[/tex]
The result can be shown in multiple forms.
Inequality Form: [tex]-2 < x< 0[/tex]
Interval Notation: [tex]( -2 , 0 )[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Which system of equations represents the matrix shown below?
11
2 -18
0 3 15
-2 4 18
1
x + 2y + Z-8
O A. x+y+3z = 15
x + 2y + 4z = 18
x+2y - z- 8
B. -x +32 - 15
x - 2y + 4z = 18
X+2y- Z=8
O C. -X+ y + 3z = 15
X-2y + 4z = 18
x+2y + z = 8
D. X+37 = 15
x +2y + 4z = 18
Answer:
its b.
Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n
6n − 12 = 144 − 6n
12n = 156
n = 13
m∠z = (144−6n)°
m∠z = (144−6×13)°
m∠z = 66°
Please help i will mark brainliest for correct answers!
Answer:
7. 1/3 8. 3/8
Step-by-step explanation:
7. 5 - 1/6 chance 1 out of 6 possibilities
6 - 1/6 chance 1 out of 6 possibilities
1/6+1/6 = 1/3
8. 3 a's out of 8 letters. 3/8
Answer:
7. 2/3
8. 3/8
Step-by-step explanation:
5 - 1/6
1/6
6 - 1/6
1/6
1/6+1/6 = 2/6 = 1/3
3 out of 8
3/8
A sample of 120 local residents reveals that 8 have a post office box for receiving mail. What is the relative frequency that a local resident does not have a post office box for receiving mail?
[tex]\frac{1}{15}[/tex] or 6.67%
Step-by-step explanation:In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.
Now, the probability P(A) of an event A happening is given by;
P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]
From the question;
The event A is the situation of local residents having a post office box. Therefore the;
number-of-outcomes-in-the-event-A = 8 [since only 8 of the local residents have a post office box]
number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]
Therefore,
P(A) = [tex]\frac{8}{120}[/tex]
P(A) = [tex]\frac{1}{15}[/tex]
The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]
PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:
[tex]\frac{1}{15} * 100%[/tex]% = 6.67%
anyone knows this? thanks
Answer:
B. 15:1
Step-by-step explanation:
30/2=15/1
45/3=15/1
60/4=15/1
75/5=15/1
Hope this helps ;) ❤❤❤
The correct answer is B