Compare and contrast the relative frequency for the whole table in part B with the two-way frequency table given in the activity introduction. What trends or generalizations can you identify from the data in the tables?
The way to convert counts into relative frequencies in a Two Way Relative Frequency Table is to divide the count by the total number of items
What is a Frequency Table?
This refers to the depiction of the number of times in which an event occurs in the form of a table.
Hence, when a two-way frequency table is used, it shows the visual representation of the possible relationship between different sets of data.
Please note that your question is incomplete as you did not provide the frequency table needed and also the trends and generalizations to find, so a general overview was given.
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Answer:
The relative frequency table shows a trend that a majority of people prefer coffee over tea: the ratio in the total row for coffee is 0.65 and just 0.35 for tea. Similarly, more people are night owls than early birds: the total column for night owl is 0.6, but the early bird column is only 0.4.
HELP, URGENT! 18 points+brainliest
Use the inequality to answer Parts 1-3.
−3(x−2)≤\(\frac{1}{3}\)
Part 1: Solve the inequality. Leave answer in terms of a whole number or reduced improper fraction.
Part 2: Write a verbal statement describing the solution to the inequality.
Part 3: Verify your solution to the inequality using two elements of the solution set.
The solution to the given inequality -3(x - 2) ≤ 1/3 is x ≤ 17/9
How to solve inequality-3(x - 2) ≤ 1/3
open parenthesis-3x + 6 ≤ 1/3
collect like terms-3x ≤ 1/3 - 6
-3x ≤ (1-18) / 3
-3x ≤ -17/3
divide both sides by -3x ≤ -17 /3 ÷ -3
x ≤ -17/3 × 1/-3
x ≤ -17/-9
x ≤ 17/9
A verbal statement describing the solution to the inequality is x is less than equal to 17 over 9
Verifying the solution of the inequality:
-3(x - 2) ≤ 1/3
-3x + 6 ≤ 1/3
-3(17/9) + 6 ≤ 1/3
-51/9 + 6 ≤ 1/3
(-51+54) / 9 ≤ 1/3
3/9 ≤ 1/3
1/3 ≤ 1/3
Therefore, the -3(x - 2) ≤ 1/3 to the inequality -3(x - 2) ≤ 1/3 in verbal statement is x is less than equal to 17 over 9.
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Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
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which of the following is the graph of y=(1/2)*?
The graph of function y = (1/2)ˣ is shown in figure.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The function is,
⇒ y = (1/2)ˣ
Now, We can draw the graph of exponential function y = (1/2)ˣ.
Hence, The graph of function y = (1/2)ˣ is shown in figure
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use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
The median a data set with nine data values is 36. A tenth value was added to the set, and the median is still 36. If the new value is greater than 36, why did the median not change?
The median did not change because the 5th and 6th term of data is same.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Given that;
The median of data set with nine numbers= 36
After the addition of tenth value median= 36
Now,
Median is the middle term of data
Here, the middle value and 6th term must be same.
So, 5th term= 6th term= 36
Therefore, the median of the given data set is same.
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Using R-Studio, load HardyWeinberg package and find the MLE of M
allele in 206th row of Mourant dataset.
Here is the code that can be used to find the MLE of M allele in the 206th row of Mourant dataset using the HardyWeinberg package in R:
# Load HardyWeinberg package
library(HardyWeinberg)
# Load Mourant dataset
data(Mourant)
# Extract the genotype counts for the 206th row
counts <- Mourant[206, 2:4]
# Calculate the MLE of M allele frequency
mle <- hw_mle(counts)
# Extract the MLE of M allele frequency
mle_M <- mle$p[2]
Note that the code assumes that the Mourant dataset is already installed and loaded in R. If the dataset is not installed, you can install it by running install.packages("HardyWeinberg") in R.
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During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which
integer represents the total number of yards at the end of the first four plays?
-3
0
Oo oo
9
18
Answer:
0
Step-by-step explanation:
-9+3+3+3=0
Franco measured a house and
its lot and made a scale drawing.
The scale of the drawing was
10 centimeters = 1 meter.
What is the scale factor of the drawing?
(1) Simplify your answer and write
it as a fraction.
Scale factor of the drawing in simplified fractional form is 1/10.
Scale factor is represented and calculated as the ratio between the original and new objects, both having different dimensions. There are two possibilities, either the new object will be greater in size, termed scale up. Or, the new object will be smaller in size, termed scale down.
Scale factor = 10:1
As per the known fact, 1 meter = 100centimeters
Representing as fraction -
Scale factor = 10/100
Dividing the numerator and denominator of the fraction by 10
Scale factor = 1/10
Therefore, the scale factor of the drawing in simplified fractional form is 1/10.
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find the equation of the line belowA. y=3xB. y=6xC. y=1/3xD. y=1/6x
To find the correct option we can replace the point (3,1) that belongs to the line and has to satisfy the equation:
\(\begin{gathered} \text{The point is (x,y)=(3,1) we use the value of x=3 in each option and check the value of y:} \\ A\text{. y=3x }\Rightarrow x=3;y=9\text{ }\ne1 \\ B\text{. y=6x }\Rightarrow x=3;y=18\ne1 \\ C\text{. y=1/3x }\Rightarrow x=3;y=1(Correct!!) \\ D\text{. y=1/6x }\Rightarrow x=3;y=\frac{1}{2}\ne1 \end{gathered}\)So, the correct option is C.
Find the quotient: 2 2/3 ÷ 3 1/4
Answer: =32/39 (Decimal: 0.820513)
Step-by-step explanation: Hope this help :D
PLEASE PLEASE PLEASE HELPPPPPPPPPPPPP
Answer:
1) B
2) B
Step-by-step explanation:
1) funtion 1 slope is 4
function 2 we use y2-y1/x2-x1
10-6/3-1
4/2
2 is the slope of function 2
so function 1 is bigger
1) only b is correct because it lands on the same line of y=x
hopes this helps please mark brainliest
The amount of time 24 seniors spent at work in a given week is recorded as follows...
PLEASE HELP‼️
Answer:
I can help!
Step-by-step explanation:
Each line on the plot is 1. It keeps adding by 1. All you have to do is put a dot on the right line every time you see a number. Some may have none.
The value of a car , V in dollar , t years after it is purchased is given by v= -1800t+ 20,000
1. What is the y- intercept and what does it represent ?
2.what is the. Slope? What does it mean in the context of the problem?
3.when will the car be worth $11.000?
Answer:
1. The y-int is 20,000 which is how much the car was originally worth.
2. The slope is -1800, so for every year (t) it goes down from 20,000 by 1800
3. After 5 years.
Step-by-step explanation:
11000=-1800(t)+20000
subtract 20000 from both sides
-9000=-1800(t)
divide -1800 from both sides
5=t
A quadratic function, f(x), and its first differences are shown in the table.
Based on the values in the table, complete the statements.
The function is not linear; therefore, the are not constant.
Subtracting the first differences of –6 and –10 results in .
Subtracting the first differences of –2 and –6 results in .
Subtracting the first differences of 2 and –2 results in .
The second differences are .
Answer:
first differences,4,4,4,constant
Step-by-step explanation:
did on edge
Answer:
4
4
4
constant
Step-by-step explanation:
A student solves the following equation and determines that the solution is −2. Is the student correct? Explain. 3/a + 2 − 6a/a2 − 4 = 1 /a − 2
The value of a is mathematically given as a=1.68989794. Both sides of the equation are unequal with -2 , Hence No, the student is not correct
What is an equation?An Equation is simply defined as an mathematical statement, where two mathematical expressions are made equal to one another.
Was the solution of -2 given by the student to the equation correct?Question Parameter(s):
. 3/a + 2 − 6a/a2 − 4 = 1 /a − 2
Firstly, for the student to be correct the value -2 as a value of a must render the equation equal to zero
Generally, the equation is mathematically given as
3/a + 2 − 6a/a2 − 4 = 1 /a − 2
Subbing -2
3/(-2) + 2 − 6(-2)/(-2)2 − 4 = 1 /(2) − 2
-15.5-1.5
In conclusion, both sides are unequal
therefore, student, a is not correct
The correct value of a=1.68989794
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Answer:
No, the student did not check the solution to the derived equation in the original equation.
No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.
No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.
Step-by-step explanation:
edge 2023
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
Is the relation a function? Explain.
O Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
O No, because for each input there is not exactly one output
O No, because for each output there is not exactly one input
To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.
Missing Information
The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.
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Write this sentence as an equation?
Six less than 4 times a number gives 18
Answer:
6-4 times x=18
btw x=9
Answer:
4x - 6 =15
Step-by-step explanation:
I will use "x" as our variable to represent the number we are trying to find.
Let's take the problem piece by piece.
Six less than four times a number.
If we are using x to represent our number, we know that when we do four times that number we are multiplying x times 4, which is the same as writing "4x."
Next we know that we are taking six less than 4x. Six less than means we will be subtracting 6 from our 4x, which is the same as writing 4x - 6.
Finally, we know that six less than 4x (4x - 6) equals 15. Now we have a full equation:
4x - 6 =15
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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8 thousands, 15 hundreds, 12 tens, 23 ones
Answer:
which is 9643
Step-by-step explanation:
Write the number 2.7 x 10-3 in standard form.
Answer:
3 • (9x^10 - 10)
------------------------
10
Step-by-step explanation:
hope this helps you! :)
Answer: 2.7 x 10-3= 2,700 hope this helps :)
Step-by-step explanation:
Rewrite as a piece wise function y=1/2 |x-6| +4
Answer:
y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}
Step-by-step explanation:
You want y = 1/2|x -6| +4 written as a piecewise function.
DomainsThe absolute value function changes its definition when its argument is negative:
y = |x| ⇒ y = -x for x < 0, and y = x for x ≥ 0
This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.
For x -6 < 0The argument is negated in this domain, so we have ...
y = -1/2(x -6) +4
y = -1/2x +3 +4
y = -1/2x +7
For x -6 ≥ 0The absolute value function is an identity function in this domain:
y = 1/2(x -6) +4
y = 1/2x -3 +4
y = 1/2x +1
Piecewise functionCombining these descriptions into one, we have ...
\(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)
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a lake covers 2.5x10^7 square feet and contains 7.5x10^8 cubic feet of water. find the average depth of the lake
Answer:
3,050
Step-by-step explanation:
If a+bi, where b is not equal to 0, is a complex zero of a polynomial with real coefficients, then so is its _____ , a-bi.
a.) linear factorization
b.) irreducible factor
c.) reducible factor
d.) complex factor
e.) fundamental theorem
f.) conjugate
Hello,
answer f: conjugate
if all coefficients are real and a+ib a zero, its conjgate a-ib is also a zero.
A body of mass 2 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
B. Compute the magnitude of that force.
Answer:
a) \(\vec{F_{c}}=mR\omega^{2}\)
\(\vec{F_{c}}=9.53 \: N \vec{r}\)
b) \(|\vec{F_{c}}|=9.53 \: N \)
Step-by-step explanation:
a) The centripetal force equation is:
\(\vec{F_{c}}=m\vec{a_{c}}\)
\(\vec{F_{c}}=mR\omega^{2}\)
Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:
\(\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}\)
\(\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}\)
The centripetal force is a vector in the radius direction.
b) The magnitude of that force will be:
\(|\vec{F_{c}}|=9.53 \: N \)
Identify the number line that correctly displays the solution x ≥ 3.
The correct number line that displays the solution `x ≥ 3` would be:
<------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
●------------------------------------------------>
The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.
The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.
It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.
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standard form 2.150 into word form??
Answer:
two point one-fifty
If (4 + 2i) – (a + 5i) = 9 – 3i, find the value of a.
Guide
What are the zeros of the function f, where f(x) = 6x2 - 9x – 6?
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem to find the zeros of 6x² - 9x - 6.
x = [9±√(9²-4(6)(-6))]/[2(6)] = [9±√225]/12 = [9±15]/12 = 2, -½
Answer:
the answer is no one knows this answer is impossible to be succeeded by the human my and should be left un noted by the
Step-by-step explanation:
in conclusion ur figure it out ur self