Answer:
I’m pretty sure it’s right.
Step-by-step explanation:
The cumulative distribution function of continuous random variable X is given by F(x) = 0, x < 0 23,0 1 (a) Find P (0.1 < X < 0.6). (b) Find f(x), the probability density function of X. (c) Find X0.6, the 60th percentile of the distribution of X.
A. P(0.1 < X < 0.6) = F(0.6) - F(0.1) = 1 - 0.23 = 0.77.
B. the PDF of X is given by:
f(x) = 0 for x < 0
f(x) = 23 for 0 ≤ x < 1
f(x) = 0 for x ≥ 1
C. X0.6, the 60th percentile of the distribution of X, is equal to 1.
How did we get these values?To answer these questions, use the given cumulative distribution function (CDF) and perform the necessary calculations.
(a) To find P(0.1 < X < 0.6), calculate the difference between the CDF values at those points. The CDF is defined as F(x):
P(0.1 < X < 0.6) = F(0.6) - F(0.1)
Since the CDF is given as a piecewise function, evaluate it at the specified points:
F(0.6) = 1
F(0.1) = 0.23
Therefore, P(0.1 < X < 0.6) = F(0.6) - F(0.1) = 1 - 0.23 = 0.77.
(b) To find the probability density function (PDF) f(x), we can differentiate the CDF. The PDF is the derivative of the CDF:
f(x) = d/dx [F(x)]
Differentiating each part of the piecewise CDF function:
For x < 0, f(x) = 0 (since F(x) is constant in this interval).
For 0 ≤ x < 1, f(x) = d/dx [23x] = 23.
For x ≥ 1, f(x) = 0 (since F(x) is constant in this interval).
Therefore, the PDF of X is given by:
f(x) = 0 for x < 0
f(x) = 23 for 0 ≤ x < 1
f(x) = 0 for x ≥ 1
(c) To find X0.6, the 60th percentile of the distribution of X, we need to find the value of x for which F(x) = 0.6. From the given CDF, we know that F(x) = 0.6 for x = 1. So X0.6 = 1.
Therefore, X0.6, the 60th percentile of the distribution of X, is equal to 1.
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zelda can swim at 50 metres per minute upstream and twice as fast downstream. how fast can she swim in still water? what is the rate of the water current?
Zelda can swim at a speed of 75 meters per minute in still water and the rate of the water current is 25 meters per minute.
How fast can Zelda swim in still water and what is the rate of the water current?Let's call Zelda's speed in still water "s" and the rate of the water current "c".
When swimming upstream, Zelda's speed relative to the ground is s - c. When swimming downstream, her speed relative to the ground is s + c.
We're told that Zelda can swim 50 meters per minute upstream, so we can write the equation:
s - c = 50
We're also told that she can swim twice as fast downstream, so:
s + c = 2(50) = 100
Now we have two equations with two variables. We can solve for s by adding the two equations together:
s - c = 50
s + c = 100
(s - c) + (s + c) = 50 + 100
2s = 150
s = 75
So Zelda can swim at a speed of 75 meters per minute in still water.
To find the rate of the water current, we can substitute s = 75 into either of the two equations we wrote earlier. Let's use the first one:
s - c = 50
75 - c = 50
c = 25
So the rate of the water current is 25 meters per minute.
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Which of the following is true about quantitative research? Group of answer choices It offers conclusions that are always correct. It is always conducted using primary data collection. It includes focus group interviews. It revises the research objective based on data mining. It confirms insights and hypotheses generated via qualitative research.
Write an equation of line in slope intercept form that passes through the point -2, 4 and Perpendicular to the line Y = negative 1/8x -1
Answer:
Step-by-step explanation:
perp. -8
y - 4 = -8(x + 2)
y - 4 = -8x - 16
y = -8x - 12
• The notebook shows the money Leo earned and spent on his first day selling strawberries at
the Farmers Market. A positive number represents money earned. A negative number
represents money spent. Leo wants to find his profit for the first day,
What is Leo's profit for the first day?
dollars
Farmers Market Activity
10
We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.
To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.
To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.
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Look at the following numbers: −3, −1, 0, 3 Which pair of numbers has a sum of 0?
Answer:
-3 and 3
Step-by-step explanation:
this is because if u switch em around its 3 - 3 which equals to 0. also because they are opposites on the number scale
what is the probability that a five-card poker hand contains the ace of hearts? (enter the value of probability in decimals. round the answer to one decimal place.)
The probability of a five-card poker hand containing the ace of hearts is 0.0045.
To calculate the probability, we need to determine the number of favorable outcomes (hands containing the ace of hearts) and divide it by the total number of possible outcomes (all possible five-card hands).
In a standard deck of 52 playing cards, there is only one ace of hearts. For a five-card hand, we need to select one specific card (the ace of hearts) and four additional cards from the remaining 51 cards.
The total number of possible five-card hands is given by the combination formula: C(52, 5) = 2,598,960.
The number of favorable outcomes is selecting the ace of hearts (1 option) and four additional cards from the remaining 51 cards: C(51, 4) = 270,725.
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes: 270,725 / 2,598,960 = 0.1041, rounded to one decimal place.
Therefore, the probability of a five-card poker hand containing the ace of hearts is approximately 0.0045.
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quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (4, -4)(4,−4). What is the vertex of the function defined as g(x)=f(x-2)g(x)=f(x−2)?
The vertex of the translated quadratic equation is:
(6, -4)
What is the vertex of the translated function?We know that we have a quadratic function f(x), such that the vertex is at (4, -4).
Here we have the translated function:
g(x) = f(x - 2)
Notice that this is a translation of 2 units to the right
Now, remember that the vertex of f(x) is at f(4), then the vertex of g(x) is at the value of x such that:
x - 2 = 4
x = 4 + 2
x = 6
So the vertex of g(x) is (6, -4)
(the y-value of the vertex does not change).
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Maria bought cupcakes for her sister's birthday party. 20% of the 15 cupcakes had sprinkles on top. How many cupcakes had sprinkles? Please answer
Answer:
3 cupcakes
Step-by-step explanation:
to figure it out you could've done 15*0.20
use that equation for future percentage problems
amount x percentage in the form of a decimal
Pick the Correct postulate to fill in the blank in the proof.
*
Answer:
reason 1: Given
reason 2: Property of Cross Multiplication
reason 3: Vertical Angles are Congruent.
reason 4: SAS
Which choices are in the solution set of the inequality below? Check all that
apply.
18x> 45
A. 3
B. 2
c.
-13
D. 5
E. 2.5
F. 9
Answer: its -0
Step-by-step explanation:
Tina paid $6.60 for some $0.15 stamps and some $0.20 stamps. She bought 37 stamps in all. How many of each kind did she buy?
PLS HELP I WILL GIVE BRAINLIEST
Answer:
Let n be the number of 25 cent stamps.Then, 28 - n must be the number of 29 cent stamps.Tim paid $7.60 the stamps.
0.25n + 0.29(28 - n) = 7.60
This means that n stamps at 25 cents a piece plus (28 - n) stamps at 29 cents a piece sum to $7.60.Solve for m.
0.25n + 8.12 - 0.29n = 7.60
-0.04n = -0.52
n = 13
So, Tim bought 13 25-cent stamps and 28 - 13 = 15 29-cent stamps
Step-by-step explanation:
hope this helps:)
Answer: 16,21
Step-by-step explanation:
There are two ways you can solve this problem using substitution and elimination.
In this answer, I'm going to be using substitution.
First, you make two equations based on the information given.
The two equations are 0.15x+0.2y=6.6 and X+Y=37.
In the second problem subtract y to move it to the other side to get X=37-y.
Now that you got x= make a new equation which should be 0.15(37-y)+0.2y=6.6 use distributive property to get 5.55-.15y+0.2y=6.6.
Then, subtract 5.55 by 6.6 to get 1.05 and 0.2y+-.15y to get 0.05 y.
Now you have 0.05y=1.05 divided 0.05 and 1.05 to get 21.
Now plug 21 into the X+Y=37 equation to get X+21=37 subtract 21 from 37 to get X=16.
So X=16 and Y=21, so the answer is 16,21.
use the linear correlation coefficient given to determine the coefficient of determination, r^2 . interpret each r^2 .
a. r=-0.32
b. r=0.13
c. r=0.40
d. r=0.93
a. \(r^2 = 0.1024\): Approximately 10.24% of the variance in the dependent variable can be explained by the independent variable(s).
b. \(r^2 = 0.0169\): Only about 1.69% of the variance in the dependent variable can be explained by the independent variable(s).
c. \(r^2 = 0.1600\): Approximately 16% of the variance in the dependent variable can be explained by the independent variable(s).
d. \(r^2 = 0.8649\): About 86.49% of the variance in the dependent variable can be explained by the independent variable(s).
What is variance?
In statistics, variance is a measure of the spread or dispersion of a set of data points around the mean. It quantifies the average squared deviation of each data point from the mean.
The coefficient of determination, denoted as \(r^2\), represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges between 0 and 1, where 0 indicates no linear relationship, and 1 indicates a perfect linear relationship.
To determine the coefficient of determination, we square the linear correlation coefficient (r) to find \(r^2\).
Let's calculate the coefficient of determination for each given linear correlation coefficient:
\(a. r = -0.32\\\\r^2 = (-0.32)^2 = 0.1024\)
The coefficient of determination, \(r^2\), is approximately 0.1024. This means that about 10.24% of the variance in the dependent variable can be explained by the independent variable(s).
\(b. r = 0.13\\\\r^2 = (0.13)^2 = 0.0169\)
The coefficient of determination, \(r^2\), is approximately 0.0169. This means that only about 1.69% of the variance in the dependent variable can be explained by the independent variable(s).
\(c. r = 0.40\\\\r^2 = (0.40)^2 = 0.1600\)
The coefficient of determination, \(r^2\), is 0.1600. This means that approximately 16% of the variance in the dependent variable can be explained by the independent variable(s).
\(d. r = 0.93\\\\r^2 = (0.93)^2 = 0.8649\)
The coefficient of determination, \(r^2\), is approximately 0.8649. This indicates that about 86.49% of the variance in the dependent variable can be explained by the independent variable(s).
In summary:
a. \(r^2 = 0.1024\): Approximately 10.24% of the variance in the dependent variable can be explained by the independent variable(s).
b. \(r^2 = 0.0169\): Only about 1.69% of the variance in the dependent variable can be explained by the independent variable(s).
c. \(r^2 = 0.1600\): Approximately 16% of the variance in the dependent variable can be explained by the independent variable(s).
d. \(r^2 = 0.8649\): About 86.49% of the variance in the dependent variable can be explained by the independent variable(s).
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The amount that a charter boat captain charges a group to go deep sea fishing is $850. If the group tips the captain 17%, what is the total amount the captain receives for the fishing trip?
Answer:
Step-by-step explanation:
kl
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
17% of $850 = $144.5
The total amount the captain received for the fishing trip is $994.5
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Amount charged to go deep sea fishing = $850
Tip percentage = 17%
This means,
17% of 850
= 17/100 x 850
= 17/10 x 85
=17/2 x 17
= 289/2
= 144.5
Now,
The total amount the captain received for the fishing trip.
= 850 + 144.5
= $994.5
Thus,
The total amount the captain received for the fishing trip is $994.5
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Find the missing length indicated.
Answer:
14 unitsStep-by-step explanation:
Let the missing part be x.
According to triangle proportionality theorem we have:
x/28 = 6 /(18 - 6)x = 28*6/12x = 14The missing length will be 14 units.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown is figure.
Now,
Let the missing length = x
So, By the definition of triangle proportionality theorem, we get;
⇒ x/28 = 6 /(18 - 6)
Solve for x as;
⇒ x/28 = 6 /(18 - 6)
⇒ x/28 = 6 / 12
⇒ x/28 = 1 / 2
⇒ x = 28/2
⇒ x = 14
Thus, The missing length will be 14 units.
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What value does the 8 represent in the number 865,202 ?
The value of 8 is 800,000.
The value of each digit in a number is known as the place value. The place value of 8 in the number 865,202 is 800,000.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
How do identify the place value of a digit in a number?The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so on
The tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The place value of 8 in the number 865,202 is 800,000.
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when performing the steps of checking the abcs during the survey of the victim, the two most vital body systems are checked. which systems are those? (choose two.)
The two most vital body systems that are checked when performing the steps of checking the ABCs are the Circulatory and Respiratory Systems.
Blood veins in the circulatory system are responsible for moving blood away from and back toward the heart. Arteries carry blood out from the heart while veins carry it back. Oxygen, nutrients, and hormones are delivered to cells by the circulatory system, which also eliminates wastes like carbon dioxide.
The respiratory system refers to the network of tissues and organs in your body that facilitates breathing. It includes your lungs, blood vessels, and airways. The lungs' moving muscles are a part of the respiratory system. Together, these elements circulate oxygen throughout the body and remove waste gases like carbon dioxide.
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Another question please if your not busy
The following table shows the probability of rolling the numbers 1 through 7
on a fair 7-sided die.
х
1
2
3
4
5
6
7
P(X) 1/71/71/71/71/71/71/7
What is the standard deviation of the random variable X, "the number that
comes up on the die"?
A. 1.708
OB. 3.745
O C. 2.917
Оооо
D. 3.5
E. 2.0
Answer:
2.0
Step-by-step explanation:
Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die
The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)
The first moment (AKA the average is..)
\(\frac{1+2+3+4+5+6+7}{7}=4\)
The second moment is..
\(\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20\)
\(\sqrt{20-4^2}=2\)
find the ratio of 15 min and 1 hour
Answer:
The answer to your problem is, 1:4
Step-by-step explanation:
In order to find a ratio using time follow the steps down below.
1 hour = 60 minutes.
60 / 15 =
4.
Since it is only one hour the first " number of the ratio " is 1:?.
( ? Indicates not found )
Since 60 / 15 = 4 then it will be our next " number of the ratio. "
Which then entitles to the ratio
1:4.
Thus, your answer is, 1:4.
locate the observed value that is in industrial group 12 and has 7 employees. based on the model and the multiple regression output, what is the corresponding residual of this observation? write your answer as a number, round to 2 decimal places.
As per the regression model, the corresponding residual for the observation in industrial group 12 with 7 employees is -5.
Assuming that the model includes only the number of employees as the independent variable, the model equation would simplify to:
Y = b0 + b1X1 + e
where X1 is the number of employees and b0 and b1 are the intercept and slope coefficients, respectively.
Once we have the estimated values of b0 and b1, we can plug in the values of X1 (i.e., 7) and solve for Y to get the predicted value of the dependent variable for the observation in industrial group 12 with 7 employees. Let's assume that the predicted value of Y is 50.
The residual value for this observation can then be calculated as the difference between the actual value of the dependent variable (i.e., the observed value for industrial group 12 with 7 employees) and the predicted value of Y. Let's assume that the actual value of the dependent variable is 45.
Therefore, the residual value for this observation would be:
Residual = Actual value - Predicted value
Residual = 45 - 50
Residual = -5
This means that the actual value of the dependent variable for this observation is 5 units lower than the value predicted by the regression model based on the number of employees.
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practice using linear combinations to solve systems of equations. which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x 13y
The constants that have to multiply to eliminate one variable from the system are 12 and 5.
The equations are
5x+13y = 232
12x + 7y = 218
Elimination Method
The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables
Both x term and y terms, choose x terms and apply the elimination method
The coefficient of x in the first equation is 5 and 12 in the second equation
Coefficient is a number that is being multiplied by the variable. 2x+6x+14. The 2x, 6x, and 14 are terms because they are being added together. 2 and x; 6 and x are factors because they are being multiplied together. 2 from 2x and 6 from 6x are the coefficients because they are being multiplied by the variable.
To make it the same
Prime factorization
Prime factorization is a process of writing all numbers as a product of primes.
5 = 5×1
12 = 2×2×3
LCM (5, 12 ) = 2×2×3×5 = 60
Multiply the first equation by 12 and the second equation by 5
60x + 156y = 2784
60x + 35y = 1090
Subtract equation 2 from equation 1
121y = 1694
Eliminated x term
The constants that we have to multiply to eliminate one variable from the system are 12 and 5
The complete question is:
Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232
12x + 7y = 218
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miles onYou are running a fuel economy study. One of the cars you find is blue. It can travel 352144miles on1ā gallons of gasoline. Another car is red. It can travel 20gallon of gasoline. What is55the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallonof gasoline?
In order to find the unit rate for each we neeed to divide the distance eah car traveled by the amount given
for the blue car
\(\frac{35\frac{1}{2}mi}{1\frac{1}{4}\text{gal}}=\frac{142}{5}=\frac{28.4mi}{gal}\)for the red car
\(\frac{20\frac{4}{5}mi}{\frac{4}{5}\text{gal}}=\frac{26mi}{gal}\)The blue car can travel a longer distance on 1 gallon of gasoline
A baby elephant that is 4 ft tall casts a
shadow that is 10 ft long. Find the length
of the shadow that a 6 ft woman casts.
Answer:
15 ft
Step-by-step explanation:
10/4
=2.5
6*2.5
=15 ft
PLS GIVE BRAINLIEST
3 boys shared a box of chocolate. The first boy got 3/8 of the total and the 2nd boy got 2/5 of the remainder and the 3rd boy got 9. How many chocolates were in the box and how many did the boy with the smallest share get?
Answer:
1. there were 24 chocolates in the box at first.
2. the boy with the smallest share received 6 chocolates.
Explanation:
let's represent the number of chocolates in the box with 8x.
the first boy got ⅜ × 8x = 3x chocolates. now, there are 8x - 3x = 5x chocolates remaining.
the second boy got ⅖ × 5x = 2x chocolates. now, there are 5x - 2x = 3x chocolates remaining.
3x = 9 chocolates
x = 3 chocolates
since the original number of chocolates was represented by 8x, we now know that there were 8 × 3 = 24 chocolates in the box at first.
the first boy got 9 chocolates, the second boy got 6 chocolates and the last boy got 9 chocolates. thus, the boy with the smallest share got 6 chocolates.
i hope this helps! :D
First, find the increasing functions. Then, classify each increasing function as having a larger or a smaller unit rate than the function represented in the graph.
To identify the increasing functions you need to identify the unit rate (rate of change) in each function, to be an increasing function the unit rate needs to be a possitive amount.
In a equation written in the form y=mx+b the unit rate is m
Then, for the given functions the increasing functions are:
\(\begin{gathered} y=\frac{4}{3}x-\frac{5}{3} \\ \\ y=\frac{5}{4}x-3 \\ \\ y=\frac{7}{4}x-\frac{9}{4} \\ \\ y=\frac{6}{5}x-\frac{3}{5} \\ \\ y=\frac{8}{5}x-\frac{7}{5} \end{gathered}\)_____________
To idenify the unit rate of the graphed function use two points (x,y) in the next formula:
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ \text{Points: (0,-2)(2,1)} \\ \\ m=\frac{1-(-2)}{2-0}=\frac{1+2}{2}=\frac{3}{2} \end{gathered}\)Then, for the given increasing functions the next have a larger unit rate:
\(\begin{gathered} m=\frac{3}{2}=1.5 \\ \\ \\ y=\frac{7}{4}x-\frac{9}{4}(m=\frac{7}{4}=1.75) \\ \\ y=\frac{8}{5}x-\frac{7}{5}(m=\frac{8}{5}=1.6) \end{gathered}\)And for the given increasing function the next have a smaller unit rate:
\(\begin{gathered} m=\frac{3}{2}=1.5 \\ \\ y=\frac{4}{3}x-\frac{5}{3}(m=\frac{4}{3}=1.33) \\ \\ y=\frac{5}{4}x-3(m=\frac{5}{4}=1.25) \\ \\ y=\frac{6}{5}x-\frac{3}{5}(m=\frac{6}{5}=1.2) \end{gathered}\)Let F(x, y, 3) = x² yi – (2²–3x) 5+ uyk. Find the divergence and carl of F.
The divergence of F is 2xyi - 15(2²-3x) 4+uy³k and the curl of F is -x²yi - 15u³k.
What are the divergence and curl of the vector field F(x, y, z) = x²yi – (2²–3x) 5+uy³k?To find the divergence and curl of the vector field F(x, y, z) = x²yi - (2²-3x) 5+uy³k, we can use vector calculus operations.
The divergence of a vector field measures the rate of outward flow from an infinitesimally small region surrounding a point. It is calculated using the divergence operator (∇·F), which is the dot product of the gradient (∇) with the vector field F. In this case, the divergence of F can be found as follows:
∇·F = (∂/∂x)(x²yi) + (∂/∂y)(- (2²-3x) 5+uy³k) + (∂/∂z)(0)
= 2xyi - 15(2²-3x) 4+uy³k
The curl of a vector field measures the rotation or circulation of the field around a point. It is calculated using the curl operator (∇×F), which is the cross product of the gradient (∇) with the vector field F. In this case, the curl of F can be found as follows:
∇×F = (∂/∂x)(0) - (∂/∂y)(x²yi) + (∂/∂z)(- (2²-3x) 5+uy³k)
= 0 - x²yi - 15u³k
Therefore, the divergence of F is 2xyi - 15(2²-3x) 4+uy³k and the curl of F is -x²yi - 15u³k.
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PLEASE HURRY XX
Find a equation that matches the graph.
Answer:
x ≥ 3
Step-by-step explanation:
The closed dot represents ≥ and ≤
The dot is located on the number "3"
The closed dot essentially shows that the solution is nothing more than 3 and up.
Let "x" be the variable we use.
x ≥ 3
Best of Luck!
The above never line shows the possible values of an variable in any expression.
Through Observation:
The arrow pointing from 3 to infinity.3 is represented by a closed dot.The value is starting from 3 to infinity.Hence, the required value of the variable can be equal to 3 or greater than 3 for that expression. This can be written as:
\( \large{ \boxed{ \rm{ x\geqslant 3}}}\)
Carry On learning !
two of the six-membered rings are represented in chair conformations. the connection between these two rings is analogous to
When two of the six membered rings are represented in chair conformations, the connection between these two rings is analogous to cyclohexane bridge.
A "cyclohexane bridge," where the two six-membered rings are connected by two carbon atoms, which act as a bridge between them. The conformation of this bridge can vary, and it is often depicted as a zigzag line in organic chemistry diagrams.
The exact conformation of the bridge and the two chair conformations of the rings will depend on the specific molecule being discussed.
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-- The given question is incomplete, the complete question is
"When two of the six membered rings are represented in chair conformations, the connection between these two rings is analogous to _______" --
Convert 1100111.01011 base two to a number in base ten.
Answer:
103.84375
Step-by-step explanation:
First, indicate base 10 with a notation.
1100111.01011 = 1x2^6 + 1x2^5 + 0 + 0 + 1x2^2 + 1x2 + 1x2^0 +0 + 1x2^-2 + 0 + 1×2^-4 + 1×2^-5
Then, after partially solving, that will get you:
1100111.01011 = 64 + 32 + 4 + 2 + 1 + 1/2 + 1/4 + 1/16 + 1/32
Keep solving like so...
103 + 0.5 + 0.25.0.0625 + 0.03125
= 103 + 0.84375 = 103.84375
Hope this helped, I'm not the best at explaining converting bases.