Answer: there are no like terms
I'm not sure if you have the wrong equation but there are no like terms
A student surveyed 100 students and determined the number of students who take statistics or calculus among seniors and juniors. Here are the results.
Let A be the event that the student takes statistics and B be the event that the student is a senior.
What is P(A and B)?
A. 0.15
B. 0.33
C. 0.47
D. 0.68
Pr ( A & B ) , ie Probability (Senior Student with Statistics) = 0.15
Given : Event A = Student is senior, Event B = Student takes statistics
Total Students = Seniors with Statistics + Juniors with Statistics + Seniors with Calculus + Juniors with Calculus = 15 + 18 + 35 + 32 = 100 students Pr (A & B) , ie Probability (Senior Student with Statistics) = 15 studentsPr (A & B) = Favourable Students / Total Students = 15 / 100
P = 0.15
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does correlation and regression require that there are clearly-identified explanatory and response variables.
The statement is False
First understood what is correlation & what is regression ?
Correlation :When measuring the relationship between two continuous variables, such as a dependent and independent variable or between two independent variables, correlation analysis is used.
Regression :Assessing the link between the outcome variable and one or more factors is referred to as regression analysis. Risk factors and co-founders are referred to as predictors or independent variables, whilst the result variable is known as the dependent or response variable. In a regression analysis, the dependent variable is represented by "y" and the independent variables are represented by "x."
Regression and correlation have some distinct differences.
The quantity and strength of the relationship between two variables is displayed through correlation. The data points are not connected by a fixed line. To determine how much one variable changes when the other stays constant, you compute a correlation. When r is zero, there is no relationship. One variable increases as the other does when r is positive. One variable rises while the other falls when r is negative.
While correlation does not match a line, linear regression identifies the optimal line that can predict y from x.
When measuring both variables, correlation is employed, whereas linear regression is typically used when manipulating the variable x.
Why the given statement is false ?
The statement is False because correlation does not imply causation. This means if X and Y are correlated we cannot conclude if X is response or explanatory or Y is response or explanatory...hence no clearly identification of which is explanatory or response is needed
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is 18/42 rational or irrational
Answer:
Step-by-step explanation:
rational
Answer:
Rational
Explanation:
18/42 is 4.258 which is a rational number
common facotors of 21 and 63
Answer:
7
Step-by-step explanation:
because 7x3 is 21 and 7x9 is 63
You have to write an equation then solve.
8 + 7m + 5 = 27
show your work
Answer:
m=2 :)
Step-by-step explanation:
8+7m+5=27
13+7m=27
27-13=14
7m=14
m=2
M=2
\(8 + 7m + 5 = 27\)
\(8 + 7m= 27 - 5\)
\(8 + 7m = 22 \)
\(7m = 22 - 8\)
\(7m = 14\)
\(14 \div 7m \\ = 2\)
Two trains are traveling at a constant rate. Find the rate of each train. Which train is traveling at a faster rate?
Answer:
Train A
Step-by-step explanation:
Look at the table.
Train A : 75 - 50/ 3 - 2 = 25 mi/n
Train B : 40 - 0/ 2 - 0 = 20 mi/n
25 > 20
So it's train A.
{ RATE }
sections of picket fence come ready-made and cost $2.89 for a 27-inches section. how much would it cost to put a fence along the borders of a flower patch shaped like the drawing below?
The cost to put a fence along the borders of the flower patch is $19.27
Calculating the cost to put a fence along the borders of the flower patchFrom the question, we have the following parameters that can be used in our computation:
Cost = $2.89 for a 27-inches section
Next, we calculate the perimeter of the patch by adding the side lengths
So, we have
Perimeter = 2 ft 3 in + 2 ft + 2 yd + 25 in + 3 ft 5 in
Evaluate
Perimeter = 15 feet 9 inches
Convert to inches
Perimeter = 180 inches + 9 inches
So, we have
Perimeter = 189 inches
Next, we have
Cost = 180 * 2.89/27
Evaluate
Cost = $19.27
Hence, the cost is $19.27
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a survey was given to a random sample of 1900 voters in the united states to ask about their preference for a presidential candidate. of those surveyed, 1520 respondents said that they preferred candidate a. at the 95% confidence level, what is the margin of error for this survey expressed as a proportion to the nearest thousandth? (do not write
Rounding to the nearest thousandth, the margin of error for this survey, expressed as a proportion, is approximately 0.020.
To calculate the margin of error for a survey, we can use the formula:
Margin of Error = Z × √((p × (1-p)) / n)
Where:
Z represents the z-score corresponding to the desired confidence level,
p represents the proportion of respondents who preferred candidate A,
n represents the sample size.
The sample size (n) is 1900, and the proportion of respondents who preferred candidate A is 1520/1900.
p = 1520/1900
≈ 0.8
We need to find the z-score corresponding to a 95% confidence level. For a 95% confidence level, the z-score is approximately 1.96.
Substituting the values into the formula:
Margin of Error = 1.96 × √((0.8 × (1-0.8)) / 1900)
Calculating the expression inside the square root:
(0.8 × (1-0.8)) ≈ 0.16
Margin of Error = 1.96 × √(0.16 / 1900)
Calculating the square root:
√(0.16 / 1900) ≈ 0.01016
Margin of Error = 1.96 × 0.01016
≈ 0.0199
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Guyss please help me with this question. I tried a thousand times but it's still incorrect.
Answer: \(17.68cm\)
Step-by-step explanation:
Using the area formula of a cone, find the height first.
\(A=\pi r(r+\sqrt{h^2+r^2})\)
Solve for h,
Begin by dividing by \(\pi r\)
\(\frac{A}{\pi r}=r+\sqrt{h^2+r^2}\)
Subtract r.
\(\frac{A}{\pi r}-r=\sqrt{h^2+r^2}\)
Square both sides.
\((\frac{A}{\pi r}-r)^2=(\sqrt{h^2+r^2})^2\)
\((\frac{A}{\pi r}-r)^2=h^2+r^2\)
Subtract \(r^2\)
\((\frac{A}{\pi r}-r)^2-r^2=h^2\)
Extract the square root.
\(\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =\sqrt{h^2}\)
\(\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =h\)
Plug in your values.
\(\sqrt{[\frac{670cm^2}{(3.14)(8cm)}-(8cm)]^2-(8cm)^2 } =h\)
Solve;
\(\sqrt{[\frac{670cm^2}{25.12cm}-(8cm)]^2-(8cm)^2 } =h\)
\(\sqrt{[26.67cm-(8cm)]^2-(8cm)^2 } =h\)
\(\sqrt{(18.67cm)^2-(8cm)^2 } =h\)
\(\sqrt{348.57cm^2-64cm^2}=h\)
\(\sqrt{284.57cm^2}=h\)
\(15.77cm=h\)
------------------------------------------------------------------
Now, to find the slant height use this formula: \(l=\sqrt{h^2+r^2}\)
\(l=\sqrt{(15.77cm)^2+(8cm)^2}\\l=\sqrt{248.69cm^2+64cm^2}\\ l=\sqrt{312.69cm^2}\\ l=17.68cm\)
Math connection How many minutes does it take an electromagnetic wave to travel from the sun to the earth(150,000,000 km)
Answer: Approximately 8 minutes and 20 seconds
This is equivalent to 500 seconds.
==============================================
Explanation:
Any electromagnetic wave travels at the speed of light in a vacuum.
The speed of light is about 300,000 km per second.
time = distance/speed
time = (150,000,000 km)/(300,000 km per second)
time = 500 seconds
It takes about 500 seconds for an electromagnetic wave to go from the sun to the earth.
-----------
Divide by 60 to find the minutes and seconds
500/60 = 8 remainder 20
500 seconds = 8 minutes & 20 seconds
What are the coordinates of A' after reflecting across the line x = 3?
A. (2,3)
B. (3,2)
C. (3,4)
D. (3,-2)
Blue shirt – Black pants
Blue shirt – White pants
Blue shirt – Blue pants
White shirt – Black pants
White shirt – White pants
White shirt – Blue pants
Tan shirt – Black pants
Tan shirt – White pants
Tan shirt – Blue pants
Based on the list, how many different-color shirts does Juan have to choose from?
Answer:
8 options I think
Step-by-step explanation:
The ratio of cats to dogs at animal shelter is 2 to 5. There are 22 cats at the animal shelter.
What is the total number of animals at the animal shelter?
Answer:
77
Step-by-step explanation:
cats:dogs
2:5
2x11=22
5x11=55
55+22=77
Answer:
77 animals
Step-by-step explanation:
Ratio = 2:5
2 = 22
5 = 5/2 ×22
= 55
=>There are 55 dogs in the animal shelter
Therefore the total number of animals = 55 +22
= 77
=> There are 77 animals at the animal shelter
Study island math pls helppp
I will love you if you answer
Answer:
Since <ABC ~= <DBE and <BAC ~= <BDE, the triangle s are similar by angle-angle.
Determine which of the following statements is true concerning the values described in column #1 and column #2.
Column #1
Column #2
The x-coordinate of the vertex of the equation The x-coordinate of the vertex of the equation
y=2x² - 4x + 12
y = 4x² + 8x +3
The value found in column #1 is greater than the value found in column #2.
The value found in column #1 is less than the value found in column #2.
The value found in column #1 is equivalent to the value found in column #2.
The relationship between column #1 and column #2 cannot be determined by the information given.
The equation shows that value found in column #1 is less than the value found in column #2.
How to illustrate the information?y = 2x² - 4x + 12
= -2(2x² + 2x) + 12
= -2(x² + 2x + 1) + 12
= -2(x + 1)² + 14
y = x² - 4x + 3
= (x² - 4x) + 4
= (x² - 4x + 4) + 3 - 4.
= (x - 2)² - 1
The vertex is (-1, 14) and (2, -1) for 1 and 2 respectively.
Therefore, the equation shows that value found in column #1 is less than the value found in column #2.
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Helppppp pleaseeeeee
Answer:
(2, 2), (5, 3), (9, 4), and (13, 5).
Step-by-step explanation:
The inverse of a function makes it so that the x-values become y-values, and y-values become x-values.
The current coordinates are (2, 2), (3, 5), (4, 9), and (5, 13).
If the function were inversed, the coordinates would be (2, 2), (5, 3), (9, 4), and (13, 5).
Hope this helps!
Look at the screen shot plzz help now!!!!
Suppose you have $320. If you decide to spend it all on ice cream, you can buy 80 pints. If the price of a glass of lemonade is 3.2 times less than the price of ice cream, how much iemonade can you buy if you decide to spend all your money on it? if necessary, round all intermediate calculations to two decimal places and your final answer to the nearest whole number.
To know how much lemonade you can buy with $320, we first need to determine the price of a pint of ice cream. Since you can buy 80 pints with $320, the price of one pint of ice cream is $320 divided by 80, which equals $4.
Next, we need to find the price of a glass of lemonade, which is 3.2 times less than the price of ice cream. Therefore, the price of a glass of lemonade is $4 - (3.2 * $4) = $4 - $12.8 = -$8.8.
Since the price of lemonade is negative, it indicates that you will receive money back for every glass of lemonade you buy. However, since you cannot have a negative quantity of lemonade, the answer would be zero.
In summary, with $320, you can buy zero glasses of lemonade.
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-3.7+1/4 Write your answer as a decimal to the nearest hundredth.
The answer as a decimal to the nearest hundredth is -3.45.
What is termed as the decimals?A decimal is a number with a whole as well as a fractional part. Decimal numbers are between integers but also reflect numerical value for whole plus some fraction of a whole. A decimal number has two parts: a whole number component and a fractional component. A decimal place value system is identical to the whole number value system for the entire part of a decimal number.For the given question;
The expression is given as;
= -3.7 + 1/4
Now, the fraction 1/4 can be written in decimal as 0.25.
Put the value of 1/4.
= -3.7 + 0.25
The subtraction of larger negative to smaller positive gives negative number.
= -3.45
Thus, the answer as a decimal to the nearest hundredth is -3.45.
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GIVEN THAT AD = 5 and BC = 24, what is the radius of circle A?
Answer:
12
Step-by-step explanation:
B to C looks like your diameter so half of 24 is 12.
A box contains 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. You pick two cubes at random, replacing each after you pick. Find the probability of picking a blue and then a red.
A.3/25
B.9/100
C.3/4
D.4/25
Answer:
Step-by-step explanation:
There are 10 cubes all together.
You want blue and then red with replacement.
Blue
P(B then red) = 3/10 * 4/10 = 12 / 100
12/100 reduces to 3/25
The answer is A
Answer:
A?
Step-by-step explanation:
•A family of 5 went to a matinee movie on a Saturday afternoon. The movie ticket prices were the same for each person.
•The family spent a combined $25 at the concession stand on drinks and popcorn.
•Altogether, the family spent $57.50 at the movies.
Write an equation using x below.
On a Saturday afternoon, a family of five went to see a matinée movie. Everyone paid the same price for their movie tickets. The equation will be 57.50 = 5x + 25 and the value of x is $6.50.
Let the price of one movie ticket be x,
So if there are 5 members and the ticket price is same for all, the total price for 5 movie tickets = Price of one ticket × 5
= x × 5
= 5x
Money spent on drinks = $25
ow, the total money spent is $57.50
Total money spent = money spent on movie tickets + money spent on drinks
So, the equation will be:
57.50 = 5x + 25
Now, on solving the equation:
5x = 57.50 - 25
5x = 32.50
x = 32.50 / 5
x = 6.50
Hence, the price of one ticket is $6.50 and the equation for this question is 57.50 = 5x + 25.
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Kevin was taking a trip to an amusement park with his family. To enter the amusement park, his parents had to purchase two adult tickets and one child ticket. The cost of an adult ticket was $42.50. A child ticket is 6/10 of the price of an adult ticket. What was the cost of a child ticket?
\(42.50\left(\frac{6}{10} \right)=\boxed{\$25.50}\)
Help me I am bad with percentages
Answer:
16.67% less
or
she only made 83% of her anticipated $18,000
Step-by-step explanation:
3000/18000 = 0.1666 or 16.67% less
15000/18000 = 0.8333 or 83%
Five positive whole numbers add up to 47
One of the numbers is a multiple of 9
The other four numbers are equal.
Work out the result when the five numbers are multiplied.
Optional working
Using a system of equations, it is found that the multiplication of the five numbers is of 16875.
What is a system of equations?A system of equations is when multiple variables are related in a context, and equations are built to find the values of each variable, according to the relations built in the problem.
For this problem, the variables are the numbers, given as follows:
x, y, z, w and t.
The sum of them is of 47, hence:
x + y + z + w + t = 47.
One of the numbers is a multiple of 9, and the other 4 are equal, hence:
4x + t = 47.
We are working with whole numbers, hence x cannot have decimal parts. Then, by trial and error, we test the multiples of 9 for t.
t = 9 -> 4x = 38 -> x is not a whole number.t = 18 -> 4x = 29 -> x is not a whole number.t = 27 -> 4x = 20 -> x = 5 is a whole number.Hence the multiplication of the five numbers is:
27 x 5^4 = 16875.
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At the start of a science experiment, the temperature is 10 degrees Celsius. If the temperature decreases by a constant rate of 3 degrees Celsius each minute, what will be the temperature, in degrees Celsius, after 5 minutes?
Answer:
-5°C
Step-by-step explanation:
Let T1 be the temperature at the start of the experiment.
We know, T1 = 10°C
Rate of decrease in temperature = 3°C per minute.
Total temperature decreased after 5 minutes (T2) = (3*5)°C
= 15°C
The final temperature (T) = T1 - T2 = 10°C - 15°C = -5°C
Kalani has run 4 1/5 miles in 2/3 an hour. If he continues to run at this rate, how many miles will he run in one hour?
Answer:
Kalani will run 6.3 miles OR 6 3/10 miles.
Step-by-step explanation:
So first step that I would do is make it easier to understand by converting the fraction to a whole number. 2/3 hour= 40 minutes.
So Kalani runs 4 1/5 miles in 40 minutes.
Then, we convert 4 1/5 to 4.2. Next, I would divide 4.2 by 2 to get how long he ran in 20 minutes. 4.2/2=2.1.
The final step is to add 2.1 and 4.2 and we get 6.3.
Extra step:
But if we need to turn it back into a fraction, it would be 6 3/10
Hope this helps :)
Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise? Sara would earn $______ for that week.
Answer: Sara would earn $478 for that week
Step-by-step explanation:
1. Sara's weekly salaries is $400, and she gets 6.5% on sales at her work.
2. In order to find how much she would get from the commission of $1200 worth of merchandise they sold, we need to find the 6.5% of 1200
Step 1: Our output value is 1200.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 1200=100%.
Step 4: Similarly, x=6.5%.
Step 5: This results in a pair of simple equations:
1200=100%(1).
x=6.5%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have
\(\frac{1200}{x} = \frac{100}{6.5}\)
Step 7: Again, the reciprocal of both sides gives
\(\frac{x}{1200} =\frac{6.5}{100}\)
⇒\(x=78\)
Therefore, 6.5% of $1200 is $78
3. you would then need to add 400 + 78 and you get a total of $478
if p varies inversely as a square roots of d and p equals 6 when d equals 9 find the formula connecting p and d, d when p equals 2
Step-by-step explanation:
p=1/d
6=k/9
6×9=k
54=k
2=54/d
2×d=54
d=54/2
d=27
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