The proper sampling technique used when the number of samples is less than 100 is saturated sampling where the entire population will be the research sample.
What is saturated sampling ?
According to Arikunto if the population is less than 100 people so the researcher need to take all the samples namely saturated sampling.
What is stratified sampling ?
Stratified sampling is a sampling technique which used when we do a research on a heterogenous population. How to use this technique is to divide the population into several stratum and then take random samples from each stratum an then all the samples that have been taken are collected into one sample.
In conclusion, if the population has fewer than 100 people , the expert suggested to use saturated sampling.
Learn more about sampling at :
https://brainly.com/question/27829028
#SPJ4
Question
If the cost of filing a floor is $1.75 per square foot, how much will it cost to file a rectangular floor that is 9
foot by 12 feet?
(Area Length x Width)
Answer:
[tex]3x - 6 = 9[/tex]
solve forWILL GIVE BRAINIEST!!!!
The value of x for functions f(x)=(1+2x)/x and g(x)=2+x is 1 or -1
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
f(x)=(1+2x)/x
g(x)=2+x
f(x)=g(x)
Plug in values of f(x) and g(x)
(1+2x)/x=2+x
1+2x=x(2+x)
Apply distributive property on RHS
1+2x=2x+x²
1+2x-2x=x²
x²=1
x=±1
The value of x is 1 or -1.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ1
Y=50-3.5x continuous or discrete
By continuity of polynomial function, y = 50 - 3.5x is a continuous function.
What is a continuous function?
A function is said to be continuous if the graph of the function has no breakage or no discontinuity at any point
y = 50 - 3.5x is a polynomial function.
All polynomial functions are continuous function.
y = 50 - 3.5x is a continuous function.
To learn more about continuous function, refer to the link-
https://brainly.com/question/18102431
#SPJ1
Simplify the following complex rational expression completely. Detailed Step By Step
Given:
[tex]\frac{\frac{1}{7}+\frac{1}{x}}{\frac{x}{7}-\frac{7}{x}}[/tex]Let us write the numerator as a single fraction, as well as the denominator. This can be written as:
[tex]\frac{\frac{x+7}{7x}}{\frac{x^2-49}{7x}}[/tex]Division by a fraction may become a mu
[tex]\begin{gathered} \frac{x+7}{7x}\times\frac{7x}{x^2-49} \\ \\ =\frac{x+7}{7x}\times\frac{7x}{(x+7)(x-7)} \\ \\ =\frac{1}{x-7} \end{gathered}[/tex]Square ABCD has vertices at A(-1, 2) and B(3, -3).
What is the slope of segment BC?
Answer:
BC=OB-OA
BC=(3/-3) - (-1/2)
BC= -1-3/2--3
-4/5=BC
What is the area of the entire rectangle?
triangles?
square units
6.2 in.
8 in.
square units What is the area of one of t
Answer:
Step-by-step explanation:
Area of the triangle is:
A = 1/2 * (Base * Height)
A = 1/2 * (b * h)
A = 1/2 * (8 * 6.2)
A = 1/2 * 49.6
A = 24.8
Area of the rectangle is
A = Base * Height
A = b * h
A = 8 * 6.2
A = 49.6
slove 2/3 + 5/6 in its simplest term
We solve as follows:
[tex]\frac{2}{3}+\frac{5}{6}=\frac{3}{2}[/tex]What is the solution of x^2+3x-28
Let's solve for x by factoring this quadratic equation.
We first need to determine which two numbers multiply to -28 (c) but add to 3 (b).
The two numbers that multiply to -28 and add to 3 are 7 and -4.
Therefore, we can factor this equation like so:
[tex](x+7)(x-4)[/tex]Now, we can set this equation to 0 and solve for x.
[tex](x+7)(x-4)=0[/tex]If we look at each factor individually, we can determine the values of x:
[tex](x+7)=0[/tex]Subtract 7 from both sides of the equation.
[tex]x=-7[/tex]Now, let's look at the other factor:
[tex](x-4)=0[/tex]Add 3 to both sides of the equation.
[tex]x=4[/tex]The solution of x^2 + 3x - 28 is x = -7, x = 4.
Graph the equation on a coordinate grid:y=-1/2x
In this case you have a linear equation of the form:
y=mx+b
To graph a line we only need to specify two points of the line and then join them.
b the intercept is zero in this case, and the slope of your line is -1/2. Since the intercept is zero, this means that the line crosses the origin, so the point (0,0) is included in the line, to find other poin of the line we just have to replace a value of x and calculate the value of y, for example let's take x equals 2.
[tex]y(2)=-\frac{1}{2}2=-\frac{2}{2}=-1[/tex]Now, we know that the line crosses the points (0,0) and (2,-1), let's graph them.
Seeds cost for a farmer are 40$ per acre for corn and 30$ per acre for soybeans . How many acres of each crop should the farmer plant if she wants to spend no more than 2400 on seed? Express your answer as a liner inequality with appropriate nonnegative restrictions and draw its graph
Given that:
- The seeds cost is 40$ per acre for corn.
- The seeds cost is 30$ per acre for soybeans.
- The farmer wants to spend no more than $2400.
• Let be "x" the number of acres of seeds for corn and "y" the number of acres of seeds for soybeans.
You know that the total amount of money has to be less than or equal to $2400. Therefore, you can write the following Linear Inequality to represent that situation:
[tex]40x+30y\leq2400[/tex]You can rewrite it in another form by solving for "y":
[tex]\begin{gathered} 30y\leq-40x+2400 \\ \\ y\leq\frac{-40x}{30}+\frac{2400}{30} \end{gathered}[/tex][tex]y\leq-\frac{4}{3}x+80[/tex]Since the number of acres cannot be negative:
[tex]\begin{gathered} x\ge0 \\ y\ge0 \end{gathered}[/tex]• You can identify that the boundary line is:
[tex]y=-\frac{4}{3}x+80[/tex]It is written in Slope-Intercept Form:
[tex]y=mx+b[/tex]Where "m" is the slope and "b" is the y-intercept.
In this case, you can identify that the y-intercept is:
[tex]b=80[/tex]In order to find the x-intercept, substitute this value of "y" into the equation and solve for "x" (because the y-value is zero when the line intersects the x-axis):
[tex]y=0[/tex]Then, you get:
[tex]0=-\frac{4}{3}x+80[/tex][tex]\frac{(-80)(3)}{-4}=x[/tex][tex]x=60[/tex]You can identify that the symbol of the inequality is:
[tex]\leq[/tex]It indicates that the line must be solid and the shaded region must be below the boundary line.
Knowing all this information, you can graph the inequality on the Coordinate Plane (Remember that the values of the variables must be greater than or equal to zero. Then, you must shade with a different color the region in which "x" and "y" are greater than or equal to zero).
Hence, the answer is:
- Linear Inequality:
[tex]40x+30y\leq2400[/tex]- Nonnegative restrictions:
[tex]\begin{gathered} x\ge0 \\ y\ge0 \end{gathered}[/tex]- Graph:
Help me please and give me easy way how to solve
To solve for the value of x in the length of a rectangle:
[tex]\begin{gathered} \text{Length = (2x+1)cm} \\ \text{width = 12cm} \\ \text{Area is not less than 108cm}^2 \end{gathered}[/tex]Area of a rectangle = length x width , If the area of a rectangle is less than 108 thus the value is greater than 108cm²
[tex]\begin{gathered} \text{Area of a rectangle = length x width } \\ A=\text{ L X W} \\ A>\text{ L x W} \end{gathered}[/tex][tex]\begin{gathered} (2x+1\text{ x 12)>108} \\ 24x+12>108 \\ 24x>108-12 \\ 24x>96 \\ x>\frac{96}{24} \\ x>4 \end{gathered}[/tex]Hence the correct answer for the value of x > 4
The value of x is less than 4
What is an Area?
An object's Area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
According to the question,
Length = (2x+1) cm
Width = 12 cm
To solve , the Area of the rectangle = length x width i.e.
less than 108 cm^2
length x width = (2x+1) x 12 cm
Area < 108 cm^2
So,
(2x+1) x 12 < 108
2x+1 < 108/12
2x+1 < 9
2x < 8
x < 4
Read more about AREA:
https://brainly.com/question/27683633
The accompanying graph shows the heart rate, in the beats per minute, of a jogger during a 4 minute interval. What is the rage of the jogger's heart rate during this interval?
The range of the jogger's heart rate is defined by the interval from the minimum value to the maximum value, where we can have values in the y-axis.
Looking at the graph, the minimum heart rate is 60 bpm, and the maximum is 110 bpm, and we can have any value inside this interval.
So the range is:
[tex]\text{range}=\lbrack60,110\rbrack[/tex]Please help me with this problem I keep getting this wrong an my son is not understanding clearly.Use the parabola tool to graph the quadratic function. f(x)=3x^2 + 6x − 24 Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
The general vertex-equation of a parabola has the following form:
[tex]f(x)=a\cdot(x-h)^2+k.[/tex]Where:
• a is a multiplicative factor,
,• (h, k) are the coordinates of the vertex of the parabola.
In this exercise we have the following equation:
[tex]f(x)=3\cdot x^2+6x-24.[/tex]Vertex of the parabola
To find the vertex of the parabola, we will complete squares to take the equation f(x) to the general form as in the equation above.
i. We factorize the equation of f(x) in the following way:
[tex]f(x)=3\cdot(x^2+2x)-24.[/tex]ii. Now, we rewrite the term inside the parenthesis as:
[tex]\begin{gathered} f(x)=3\cdot(x^2+2\cdot1\cdot x)-24 \\ =3\cdot((x^2+2\cdot1\cdot x+1)-1)-24 \\ =3\cdot(x^2+2x+1)-3-24 \\ =3\cdot(x^2+2x+1)-27. \end{gathered}[/tex]iii. Now, we see that the term in parenthesis can be rewritten as a square:
[tex]f(x)=3\cdot(x+1)^2-27.[/tex]iv. Finally, we rewrite the term inside and outside the parenthesis as:
[tex]f(x)=3\cdot(x-(-1))^2+(-27).[/tex]In the last step, we rewrite the term inside the parenthesis to have the same shape as in the general expression.
Comparing the equation that we have obtained and the general one, we see that the coordinates of the vertex are:
[tex](h,k)=(-1,-27).[/tex]Second point
We find a second point by evaluating the function f(x) in x = 1, we get:
[tex]f(1)=3\cdot1^2+6\cdot1-24=3+6-24=-15.[/tex]The coordinates of the second point are (1, -15).
Graph
We have the following points of the parabola:
[tex]\begin{gathered} \text{ Vertex }=(-1,-27), \\ \text{ Second point }=(1,-15). \end{gathered}[/tex]Using these points and taking into account that the axis of symmetry is x = -1 (because the x-coordinate of the vertex is -1), we get the following graph:
AnswerCoordinates of the vertex: (-1, -27)
Coordinates of the second point: (1, -15)
Find the 52nd term. 22, 30, 38, 46,…
Given a series.
22, 30, 38, 46,…
use the formula,
a+(n-1)d,
a= 22
n=52
d=8.
subsitute in the formula,
22+(52+1)8
=22+424
=446
find the area of the equilateral triangle. round to the nearest tenth
the The area of the triangle is 35.1
We can get the height of the triangle using Pythagorean theorem
a^2+b^2=c^2
the height is 7.8
the area of the triangle is 1/2 * base * height
1/2 * 9 *7.8 = 35.1
Find slope for (19,-2),(-11,10)
Answer:
-2/5
Step-by-step Explanation:
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{10 - ( - 2)}{ - 11 - 19} [/tex]
[tex]m = \frac{12}{ - 30} [/tex]
[tex]m = - \frac{2}{5} [/tex]
Farmer Joogh wanted to sell some dubbles and gespils at the market.
She expected to sell no more than 11 units. She planned to charge $7
per dubble and $4 per gespil. She expected to make no less than $56.
She expected to sell at least 3 gespils.
Write a system of statements, in standard form, modeling the
relationships between amount of dubbles (x) and amount of gespils
(Y)
The inequalities which represent relationships between the number of doubles (x) and amount of gospels (y) are x + y ≤ 11,7x + 4y ≥ 56 and y ≥ 3.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
No more than 11
x + y ≤ 11
Total earning ≥ $56
7x + 4y ≥ 56
At least 3 gospels
y ≥ 3
Hence "The inequalities which represent relationships between the number of doubles (x) and amount of gospels (y) are x + y ≤ 11,7x + 4y ≥ 56 and y ≥ 3".
For more about inequality,
brainly.com/question/20383699
#SPJ1
it is one of the 4 answers
The rate of change at point A on the graph below for the y-axis in relation to the x-axis is -0.5.
What is the rate of change?The term "rate of change" (ROC) describes the rate at which something changes over time.
Thus, it is not the number of individual changes themselves but rather the acceleration or deceleration of changes (i.e., the rate).
The rate of change is a tool used in finance to comprehend price returns and spot trend momentum.
Other instances of changing rates are as follows: 40 more rats are added to the colony every week.
So, the rate of change is:
The point is given at 1.5 with respect to the y-axis.
And we can clearly see that it has been decreased to 1 with respect to the y-axis.
So, the rate of change:
1.0 - 1.5 - = -0.5
Therefore, the rate of change at point A on the graph below for the y-axis in relation to the x-axis is -0.5.
Know more about the rate of change here:
https://brainly.com/question/8728504
#SPJ1
You decide to invest $10,000 in an account where the interest compounds annually. Create an exponential function to represent how much money you will have after 20 years if the money grows at a rate of 7.5 percent
Apply the compound interest formula:
• A= P (1 + r/n)^nt
Where:
A = future value
P = Principal investment = $10,000
r = interest rate in decimal form = 7.5 /100 = 0.075
n= number of compounding periods per unit t = 1 (anually)
t= years = 20
Replacing:
A = 10,000 ( 1+ 0.075 )^20
Find the equation of the linear function represented by the table below in slope-intercept form.
pls help me
The equation of the linear function in slope intercept form is y = 2x -6
How to write equation of a line in slope intercept form?The equation of a line in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the slope of the linear function using (0, -6)(1, -4).
m = -4 + 6 / 1 - 0
m = 2 / 1
m = 2
Therefore, the y-intercept of the linear function can be calculated using (0, -6) and the lope.
y = 2x + b
-6 = 2(0) + b
b = -6
Therefore, the equation of the line is y = 2x -6
learn more on equation of a line here: brainly.com/question/28883396
#SPJ1
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeee pleaseeeeeeeeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The area of a rectangle is the product of its length and breadth. The maximum area enclosed by the fence is 36800 square meter and the dimensions of the enclosed area are 115 meter and 320 meter. The width is given as 115 meter.
What is a rectangle?A rectangle is a type of parallelogram that has equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
The dimensions of the given rectangle is (650 - 2x) and x.
Then, the area of the given rectangle is A(x) = x(650 - 2x)
In order to find the maximum area enclosed take the derivative of A(x) and equate it to zero as follows,
(660 - 2x) - 2x = 0
=> 4x = 660
=> x = 660 / 4
=> x = 115
Now, the maximum area is the value of A(x) at x = 115 as below,
= 115 × (650 - 2×115)
= 115 × 320
= 36800
The dimensions for the maximum area are 115 and (650 - 2 × 115) = 320.
Hence, the largest area enclosed is 36800 square meter and the dimensions of the enclosed area are 115 meter and 320 meter. The width labeled in the figure is given as 115 meter.
To know more about rectangle click on,
https://brainly.com/question/25501702
#SPJ1
Kenya is driving on the highway at a speed of 75 mph. She sees an accident about 500 feet ahead and must come to a complete stop. How far will Kenya travel before coming to a complete stop? Answer to the nearest hundredth of a foot. (Use rule of thumb for reaction time: 1 foot traveled for each mile per hour of speed.)
The distance Kenya travels before coming to a complete stop found by writing equations is 425 feet
What is an equation?An equation is a mathematical statement that connects two expressions with an equal sign
The speed at which Kenya is driving = 75 mph
The distance between Kenya and the accident = 500 feet
The rule of thumb for the reaction distance = 1 ft per mile per hour of speed
The rule of thumb expressed as an equation is therefore;
Distance traveled during the reaction time = 1 × v
Where;
v = The speed of driving
The distance Kenya traveled before reacting is therefore;
r = 1 ft/mph × 75 mph = 75 feet
The distance Kenya traveled before stopping is therefore;
500 feet - 75 feet = 425 feet
500 feet – 75 feet = 425 feet
The distance Kenya travels before coming to a complete stop is 425 feet’
Learn more about writing equations here:
https://brainly.com/question/15790322
#SPJ1
what property of parallel lines is illustrated by where the snow has collected?
Okay, here we have this:
Considering that when two parallel lines are intersected by a transversal, corresponding angles have the same measure. In this case
Michael and his sister Mel share the job of mowing the grass in their yard. Michael mows 1/3 of the yard, and Mel mows the rest. Mel can mow 3/4 of the entire yard in an hour. 1. How long will it take Mel to finish mowing her part of the yard?2. After Michael mows 1/3 of the yard, what fraction of the yard does Mel need to mow? Explain.3. Write a fraction division problem that you can use to find out how long it will take Mel to finish mowing the yard.4. How long will it take Mel to finish mowing the yard? Show your work.
Michael mows 1/3 of the yard, and the remaining is for Mel,
Note that 1 whole yard is 1
So the remaining is 1 - 1/3 = 2/3
Mel can mow 3/4 of the entire yard in 1 hour :
So in 1 whole yard, Mel can mow it for :
[tex]\frac{1hr}{\frac{3}{4}}=\frac{4}{3}hr\text{ per yard}[/tex]Mel's rate in mowing 1 yard is 4/3 hrs
Since Mel will mow 2/3 of the yard, multiply it by her rate will be :
[tex]\frac{2}{3}\times\frac{4}{3}=\frac{8}{9}[/tex]8/9 or 0.89 hour
Note that multiplication can be expressed as division,
The number of hours Mel can finish mowing the yard is :
[tex]\begin{gathered} \text{hours}=\frac{\text{part of yard}}{\text{Mel's rate}} \\ \text{hours}=\frac{\frac{2}{3}}{\frac{4}{3}} \\ \text{hours}=\frac{8}{9} \end{gathered}[/tex]Since the answer is same, 8/9 hour is correct.
To summarize the answers :
1. 8/9 hr or 0.89 hr
2. 2/3, as explained above.
3. The division problem is :
[tex]\frac{2}{3}\div\frac{3}{4}[/tex]4. 8/9 hr or 0.89 hr
[tex]\frac{2}{3}\div\frac{3}{4}=\frac{2}{3}\times\frac{4}{3}=\frac{8}{9}[/tex]How you solve this problem?
t^2/20+8=15
Answer: t=2*±√(35)=±11.8322
Step-by-step explanation: STEP
1
:
t2
Simplify ——
20
Equation at the end of step
1
:
t2
(—— + 8) - 15 = 0
20
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 20 as the denominator :
8 8 • 20
8 = — = ——————
1 20
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
t2 + 8 • 20 t2 + 160
——————————— = ————————
20 20
Equation at the end of step
2
:
(t2 + 160)
—————————— - 15 = 0
20
STEP
3
:
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 20 as the denominator :
15 15 • 20
15 = —— = ———————
1 20
Polynomial Roots Calculator :
3.2 Find roots (zeroes) of : F(t) = t2 + 160
Polynomial Roots Calculator is a set of methods aimed at finding values of t for which F(t)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers t which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 160.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,32 ,40 , etc
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 161.00
-2 1 -2.00 164.00
-4 1 -4.00 176.00
-5 1 -5.00 185.00
-8 1 -8.00 224.00
Note - For tidiness, printing of 15 checks which found no root was suppressed
Polynomial Roots Calculator found no rational roots
Adding fractions that have a common denominator :
3.3 Adding up the two equivalent fractions
(t2+160) - (15 • 20) t2 - 140
———————————————————— = ————————
20 20
Trying to factor as a Difference of Squares:
3.4 Factoring: t2 - 140
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 140 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
Equation at the end of step
3
:
t2 - 140
———————— = 0
20
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
t2-140
—————— • 20 = 0 • 20
20
Now, on the left hand side, the 20 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
t2-140 = 0
Solving a Single Variable Equation:
4.2 Solve : t2-140 = 0
Add 140 to both sides of the equation :
t2 = 140
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
t = ± √ 140
Can √ 140 be simplified ?
Yes! The prime factorization of 140 is
2•2•5•7
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 140 = √ 2•2•5•7 =
± 2 • √ 35
The equation has two real solutions
These solutions are t = 2 • ± √35 = ± 11.8322
This morning Justin’s car had 19.17 gallons of fuel.now, 2.6 gallons are left.how much fuel did Justin use?
Answer:
16.57
Step-by-step explanation:
19.17 - 2.6 = 16.57
Find the geometric mean of the sequence: 2112,______,33
The sequence first term is a = 2112 and last term is b = 33.
The formula for the geometric mean is,
[tex]\sqrt[]{a\cdot b}[/tex]Determine the geometric mean of 2112 and 33.
[tex]\begin{gathered} \sqrt[]{2112\cdot33}=\sqrt[]{69696} \\ =264 \end{gathered}[/tex]So geometric sequence is 264.
Answer: 264
A spinner is divided into five colored sections that are not of equal size: red, blue,green, yellow, and purple. The spinner is spun several times, and the results arerecorded below:Spinner ResultsColor Frequency718RedBlueGreenYellowPurple569Based on these results, express the probability that the next spin will land on green asa decimal to the nearest hundredth.
Answer:
0.11
Explanation:
First, find the total of the color frequency:
[tex]\begin{gathered} \text{Total}=7+18+5+6+9 \\ =45 \end{gathered}[/tex]The Frequency with which it lands on Green = 5
Therefore, the probability that the next spin will land on the green:
[tex]\begin{gathered} =\frac{5}{45} \\ \approx0.11 \end{gathered}[/tex]The required probability is 0.11 (to the nearest hundredth).
I am attaching pages 3-5 for context. I just need help with Question 4 on page 5. I have also attached my answers to page 3 (spreadsheet) and page 4 (screenshot).
We are given the initial function to be
[tex]\begin{gathered} A=A_0e^{-0.316t} \\ \text{where} \\ A_0=550mg \end{gathered}[/tex]Page 5
Question 4
We are told to use the function above to estimate how long it will take for the amount in the body to be 175mg.
This simply translates to making A= 175 in the equation so that we will obtain
[tex]175=550e^{-0.316t}[/tex]So we will make t the subject of the formula
To do so, we can follow the steps below
Step 1: Divide both sides by 550
[tex]\begin{gathered} \frac{175}{550}=\frac{550e^{-0.316t}}{550} \\ 0.318=e^{-0.316t} \end{gathered}[/tex]Next, we will take the natural logarithm to both sides
[tex]\begin{gathered} ln(0.318)=\ln (e^{-0.316t}) \\ \ln 0.318=-0.316t \\ -0.316t=\ln 0.318 \end{gathered}[/tex]Next, we will divide both sides by -0.316
[tex]\begin{gathered} t=\frac{\ln (0.318)}{-0.316} \\ t=3.6256 \end{gathered}[/tex]
Thus, the value of t = 3.6256 hours.
hello. i just need a little helping hand on this thank you
As given by the question
There are given that the expression
[tex]\sqrt[]{45}[/tex]Now,
The value of the given expression is:
[tex]\begin{gathered} \sqrt[]{45}=\sqrt[]{5\times9} \\ =\sqrt[]{9}\times\sqrt[]{5} \\ =3\sqrt[]{5} \end{gathered}[/tex]Hence, the correct option is C.