The value of "r" in the given equation is -15.55.
The equation given is,1.2 + 61 = 2r(4-6)Add the two numbers present on the left hand side of the equation.62.2 = 2r(4-6)Subtract the two numbers present on the right hand side of the equation in brackets.62.2 = 2r(-2)Multiply the two numbers present on the right hand side of the equation.62.2 = -4rDivide both the sides of the equation by the common factor, i.e., -4.62.2/(-4) = (-4r)/(-4)Cancel terms that are in both the numerator and denominator.-15.55 = rMove the variable to the left hand side of the equation.r = -15.55To learn more about equations, visit :
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Jose paid $1.12 for a dozen eggs at his local grocery store. Determine the cost of 18 eggs.
Answer:
$1.68
Step-by-step explanation:
1 dozen is 12.
18 is the same as 12 + 6
6 eggs is half of 12 eggs.
Since 12 eggs cost $1.12, then 6 eggs cost half of $1.12, or $1.12/2 = $0.56.
18 = 12 + 6, so
the price of 18 eggs = the price of 12 eggs + the price of 6 eggs.
price of 18 eggs = $1.12 + $0.56 = $1.68
The high and low temperatures for 666 days in Cloud City are plotted on the coordinate plane. The xxx-axis represents the day number, and the yyy-axis represents the temperature in degrees Celsius (\degree\text{C}°Cdegree, start text, C, end text). On which day was there a low temperature of 18\degree\text{C}18°C18, degree, start text, C, end text? Choose 1 answer: Choose 1 answer: (Choice A) A Day 111 (Choice B) B Day 222 (Choice C) C Day 444 (Choice D) D Day 55
There was a low temperature of 18°C on (b) day 2
How to determine the day of low temperature?The graph that completes the question is added as an attachment
The legend of the graph is
Points below = Low temperaturePoints above = High temperatureUsing the above legend as a guide, we have the following readings on day 2:
Low = 18 degreesHigh = 21 degreesThis means that the least temperature on day 2 is 18 degrees Celsius
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Complete question
The high and low temperatures for 6 days in Cloud City are plotted on the coordinate plane. The x-axis represents the day number, and the y-axis represents the temperature in degrees Celsius.
On which day was there a low temperature of 18°C? Choose 1 answer:
A Day 1
B Day 2
C Day 4
D Day 55
Answer:
it was ( c ) 9
Step-by-step explanation:
i put the other answer and i got it wrong and turns out it was actually letter c
Which expression is equal to (3x − 4)(2x − 5)?
-
O 3x²
-
23x - 20
O 6x² - 7x+20
O 6x²-23x+20
O 6x² - 23x - 20
I need help with this math
Answer:
EF =11 ft
Step-by-step explanation:
if CB = 11ft then EF will also be 11 ft since both triangles are congruent to each other
solve the linear equation 4x-(2x-1)=x+5+x-6
The linear equation doesn't have a solution.
How to compute the value?The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6
This will be solved thus:
4x - 2x + 1 = x+5+x-6
4x - 2x + 1 = 2x - 1.
2x + 1 = 2x - 1
Collect like terms
2x - 2x = -1 - 1
0 = -2
This illustrates that the equation doesn't have a solution.
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PLZ HELP QUICKLY!!!!!!!!!!!!
No LINKS PLEASE!!!!!!!!!
Answer:
Uhh i dont rly know sry
Step-by-step explanation:
What is the value of the expression 2x2 + 5x – 6 when x = 2?
Answer:
2×2^2 +5×2 -6
= 2×4 +10 -6
= 8+10-6
= 18-6
= 12
If the problem says x=5 ,did it give you a input or output?
Answer:
it gave you the input because it is telling you what x is
two balls are drawn simultaneously from a bag containing 2 yellow and 4 green balls. what is the probability of drawing 2 green balls
The probability of drawing 2 green balls simultaneously from a bag containing 2 yellow and 4 green balls can be determined using the following method:
First, calculate the total number of balls in the bag. There are 2 yellow balls and 4 green balls, so the total is 6 balls.
Now, let's find the probability of drawing 2 green balls. To do this, consider the number of green balls (4) and the total number of balls (6). When drawing the first green ball, there are 4 green balls out of 6 total balls. Therefore, the probability of drawing one green ball is 4/6.
Since the balls are drawn simultaneously, there's no change in the number of balls for the second draw. So, the probability of drawing a second green ball remains 4/6.
Now, we can calculate the probability of both events occurring simultaneously by multiplying the probabilities:
(4/6) * (4/6) = 16/36
To simplify the fraction, divide both numerator and denominator by their greatest common divisor (4):
16/36 = 4/9
So, the probability of drawing 2 green balls simultaneously is 4/9.
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(3x +20)
Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°)
Help pls
Answer:
x = 20°
Step-by-step explanation:
The angle opposite to 3x + 20 is also 3x + 20 (opposite interior angles)
The angle opposite to 5x is also 5x (opposite interior angles)
Solve:
Set up the equation by adding all the angles. The sum of these angles should equal 360.
(3x + 20) + (3x + 20) + (5x) + (5x) = 36016x + 40 = 36016x = 320x = 20x = 20°
-Chetan K
x−5
2x−1
> x+5
x+1
The solution to the inequality is \( -13 < x < 0 \). In interval notation, the solution is \( (-13, 0) \).
To solve the inequality \(\( \frac{x-5}{2x-1} > \frac{x+5}{x+1} \)\), we can simplify the expression and find the critical points where the inequality changes.
First, let's simplify the inequality:
Multiply both sides of the inequality by \( (2x-1)(x+1) \) to eliminate the denominators:
\( (x-5)(x+1) > (x+5)(2x-1) \)
Expand both sides:
\( x^2 - 4x - 5 > 2x^2 + 9x - 5 \)
Combine like terms:
\( x^2 - 4x - 5 > 2x^2 + 9x - 5 \)
Rearrange the terms to set the inequality to zero:
\( x^2 - 2x^2 - 4x - 9x + 5 - 5 > 0 \)
\( -x^2 - 13x > 0 \)
Multiply both sides by -1 to reverse the inequality:
\( x^2 + 13x < 0 \)
Now, let's find the critical points by factoring the expression:
\( x(x + 13) < 0 \)
The critical points occur when either \( x = 0 \) or \( x + 13 = 0 \).
Solving \( x = 0 \), we find one critical point at \( x = 0 \).
Solving \( x + 13 = 0 \), we find another critical point at \( x = -13 \).
Now, we can determine the sign of the expression \( x(x + 13) \) for different intervals.
For \( x < -13 \), both \( x \) and \( x + 13 \) are negative, so \( x(x + 13) > 0 \).
For \( -13 < x < 0 \), \( x \) is negative and \( x + 13 \) is positive, so \( x(x + 13) < 0 \).
For \( x > 0 \), both \( x \) and \( x + 13 \) are positive, so \( x(x + 13) > 0 \).
Therefore, the solution to the inequality is \( -13 < x < 0 \).
In interval notation, the solution is \( (-13, 0) \).
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A Gallup poll asked 1050 randomly chosen adults if they are familiar with the 2015 VW emissions scandal. Of this sample, 75% said that they were familiar with the scandal.
a. Construct a 95% confidence interval for the proportion of all US adults that are familiar with the VW emissions scandal.
b. A newspaper article makes the claim that 80% of US adults are familiar with this scandal. Is this plausible? Why or why not?
a. The 95% confidence interval for the proportion of all US adults familiar with the VW emissions scandal is (72.1%, 77.9%). b. The claim made by the newspaper article that 80% of US adults are familiar with the scandal is not plausible, as it falls outside the calculated confidence interval.
a. The Gallup poll found that 75% of the 1050 randomly chosen adults were familiar with the 2015 VW emissions scandal. To estimate the proportion of all US adults familiar with the scandal, we can construct a 95% confidence interval. This interval will provide a range within which the true proportion is likely to fall.
b. To construct the confidence interval, we can use the formula for calculating a confidence interval for a proportion. The formula consists of three components: the sample proportion, the margin of error, and the critical value. The sample proportion is the percentage of respondents in the sample who reported being familiar with the scandal, which is 75% in this case. The margin of error represents the range around the sample proportion that accounts for sampling variability, and the critical value is based on the desired confidence level.
The formula for the margin of error is:
Margin of Error = Critical Value × Standard Error
The standard error is calculated using the sample proportion and sample size:
Standard Error = \(\sqrt\)((Sample Proportion × (1 - Sample Proportion)) / Sample Size)
By plugging in the values and calculating the confidence interval, we can determine a range of plausible values for the proportion of all US adults familiar with the scandal.
To assess the plausibility of the newspaper article's claim that 80% of US adults are familiar with the scandal, we compare it to the constructed confidence interval. If the claim falls within the confidence interval, it is considered plausible, as it aligns with the range of estimates based on the sample. However, if the claim falls outside the confidence interval, it raises doubts about the accuracy of the newspaper's claim.
Therefore, a. The 95% confidence interval for the proportion of all US adults familiar with the VW emissions scandal is (72.1%, 77.9%). b. The claim made by the newspaper article that 80% of US adults are familiar with the scandal is not plausible, as it falls outside the calculated confidence interval.
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PLS HELP NO BOTS!!!!
Answer:x= 10
Step-by-step explanation:
what are two reasons that multiple regression designs cannot completely establish causation?
Two reasons that multiple regression designs cannot completely establish causation are: 1) correlation does not imply causation, and 2) the presence of confounding variables.
1) Correlation does not imply causation: Multiple regression designs can help identify correlations between variables, but correlation alone does not prove causation. There could be other factors at play, or the observed relationship could be due to chance.
2) Presence of confounding variables: Confounding variables are variables that affect both the independent and dependent variables, leading to a spurious association. In multiple regression designs, it is possible that not all confounding variables are accounted for, which can lead to inaccurate conclusions about the causal relationship between variables.
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(1-cosx)(1+1/cosx)= sinx tanx
Answer:
Step-by-step explanation:
\((1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)\)
\(= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\\)
= Sin x * Tan x
Hence proved
It costs $2 to download a song and $12 to download an entire album. Jorge has $50 to spend on downloading music. Create an inequality that represents the number of songs (s ) and albums (a ) that Jorge could download.
The inequality that represents the number of songs and albums that Jorge could download is:
$2*s + $12*a ≤ $50
How to write the inequality?Here we have the variables:
s = number of songs.
a = number of albums.
Then the total cost can be written as:
$2*s + $12*a
And we know that Jorge has a maximum of $50 to spend, so the total cost can be equal to or smaller than $50, so the inequality is:
$2*s + $12*a ≤ $50
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What is…. x+y=1
x-y=7 Solve equation
Answer:
x= 4
y= -3
Step-by-step explanation:
x+y=1
+ x-y=7
-----------
2x = 8
x = 4
x+y=1
4+y=1
y= -3
graph:
x+y=1 is y= -x+1
x-y=7 is y= x-7
y= -x+1
y= x-7
graph is attached
looks like an X
they meet at (2,-3)
Answer: x+y=1:
y|x
0|1
1|0
x-y=7:
x|y
0|-7
1|-6
Step-by-step explanation:
x+y=1
Graph the line using the slope and y-intercept, or two points.
Slope: -1
Y-intercept: (0,1)
x-y=7
Graph the line using the slope and y-intercept, or two points.
Slope: 1
y-intercept: (0,−7)
Hope this helps! Posted 1/3/23
∠A and \angle B∠B are complementary angles. If m\angle A=(2x+18)^{\circ}∠A=(2x+18) ∘ and m\angle B=(6x-8)^{\circ}∠B=(6x−8) ∘ , then find the measure of \angle B∠B?
Answer:
\(m\angle B=52^{\circ}\)
Step-by-step explanation:
Two or more angles are said to be complementary if they sum up to 90 degrees.
Given that angles A and B are complementary, then:
\(\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\)
Answer:
56 :)
Step-by-step explanation:
what the simplified form of 3
Answer:
It’s the last one.
Step-by-step explanation:
135 can also be written as 9 times 15. Since this is a square root, find a factor that is repeated twice. 9 can be broken down into 3 times 3. Hence this goes on the outside. 15 stays inside.
Jaylin has a scale model of a train to some centimeters in the model represents 3 feet in a real train on the scale model the two wheels of Jaylin true or 3.5 cm apart there are some old railroad tracks in the Wyoming that are 4.5 feet apart would the real train be able travel on those tracks?
5.25 or 5 1/4
I worked it out I hope this helps :)
I'LL GIVE BRANLY!!!!!
How many 3-coin combinations exist if we can choose from nickels, dimes, quarters, and half-dollars?
20
4!
4
12
Answer:
12
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
If the order matters, we can use the product rule to show each of the \(20\) coins can be chosen in \(5\) ways, for a total of \(5^{20\) ways, assuming you have enough of each type of coins.
If the order does not matter (which in the case it probably does not) you have to use an r-combination. The formula is\(C(n+r-1,r)\). Here \(n=5\) and \(r=20\). So we get \(C(24,20)\).
Determine the margin of error, m, for a 90% confidence interval when the sample size is n = 25 and the sample standard deviation is s 13. Give your answer precise to three decimal places.
The margin of error, m, for a 90% confidence interval when the sample size is n = 25 and the sample standard deviation is s 13 is 4.277.
The margin of error is a statistic that expresses the degree of random sampling error in survey data. It claims that the result of a sample is likely to be close to the number obtained if the entire population was searched. Simply put, the margin of error is the product of the critical value and the standard deviation.
The margin of error is denoted by m and the formula is given as,
\(error = z\frac{\sigma}{\sqrt{n} }\)
we have,
n = 25
σ = 13
for 90% confidence level we have z = 1.645
putting value in the formula we get,
error = 1.645 x 13/5
= 1.645 x 2.6
= 4.277
Therefore, the value of margin of error is 4.277
A margin of variation is indeed a statistical term that takes the level of error from your research sample's results into consideration. On the other hand, confidence interval uses the data set's standard deviation to determine how well the population sample is represented in relation to the mean.
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I NEED HELP ON THIS ASAP!!!!
Each graph identified above are described below.
How are the two graphs described?For the fundamental function h(x) = 2x:
f(x) = -h( x) represents te x-axis graph of h(x). When C is greater than 0, the f(x ) graph is always below the x-axis and approaches 0 as x approaches negative infinity. The graph of f( x) approaches negative infinity as x approaches positive infinity.
As a result, for C > 0, the f(x) graph is always declining and concave down.
g( x) = h(x - 0) moves the h(x) graph to the right by 0 units. When C is 0, the g(x) graph is always above the x-axis and approaches 0 as x approaches positive infinity. The graph of g( x) approaches positive infinity as x approaches negative infinity.
As a result, for C 0, the g(x) graph is constantly growing and concave up.
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Find the area of the following shape. Use pi on your calculator when necessary.
9 mi
O 216 m²
O 108 m²
O 113.8 mi²
O 227.6 mi²
12 mi
The volume of the right cylinder is 1017.88 m² = 324π m²
One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.
The properties of cylinder are :
It features two flat circular faces, two curved edges, and one curved surface.
The two circular flat bases are parallel to one another.
There isn't a vertex on it.
The radius of a circular base and the height of a cylinder determine its size.
The radius of the cylinder = 6 m
Height = 9 m
The volume of the right cylinder is π(radius)²height
= π * 6² * 9 = 1017.88 m² = 324π m²
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The screenshot explains it all
Thus, the result for the given problem will be a) About 2.349 seconds and b) About 0.53 seconds
What is the time t takes a dropped object to fall h feet?The time t takes a dropped object to fall h feet is
a) Taking, \(h=55 ft\) in the given formula, we get:
\(t = \sqrt(h/16) = \sqrt(55/16) \approx 2.349\; seconds\)
b) If the earring is dropped from two stories \((22 ft)\) below the roof, then the height from which it is dropped is:
\(h' = 55 - 22 = 33 ft\)
The time it takes for the earring to touch the ground may be calculated using the same calculation as before:
\(t' = \sqrt(h'/16) = \sqrt(33/16) \approx 1.819\; seconds\)
So the earring hits the ground approximately 0.53 seconds sooner when dropped from two stories below the roof.
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through (4,-3) slope= -1
Answer:
-x+1
Step-by-step explanation:
The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
a 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
b 4 (89.95) + x = 628.35; x = 268 dollars and 55 cents
c 4 x + 89.95 = 628.35; x = 179 dollars and 58 cents
d 4 (89.95) + x = 628.35; x = 538 dollars and 40 cents
|| ▼ Answer ▼ ||
Option (A) 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
|| ✪ Solution ✪ ||
Total cost of the trip was $628.35, Anja paid $89.95 as a flat fee, and paid extra for the four tooth fillings, the equation that represents this situation is:
\(4x+89.95=628.35-- > (1)\)
The solution to equation (1) is as follows:
\(4x=628.35-89.95=538.4\)
\(x=\frac{538.4}{4} =134.6\)
\(x=134.6\)
x = $134 and 60 cents
Conclusion: The answer is Option (a).
Hope this helps!
If you have any queries please ask.
HELP ME ASAP PLEASEEEEE
Step-by-step explanation:
5√36 = 5× 6 = 303√2 + 3×2√2 = 3√2 + 6√2 = 9√24 - 2√4 = 4 - 2× 2 = 4 - 4 = 0plz mark my answer as brainlist.
Hope this will be helpful to you .
C) if two individuals are chosen at random from the population, what is the probability that at least one will have some college or a college degree of some sort?
The probability that neither of the two individuals has some college or a college degree is (1 - P(college))^2.
To calculate the probability that at least one of the two individuals chosen at random from the population will have some college or a college degree, we need to consider the complement of the event, which is the probability that none of the individuals have a college degree.
Let's assume that the population size is N, and the number of individuals with a college degree is C. The probability that an individual does not have a college degree is (N - C) / N.
When choosing the first individual, the probability that they do not have a college degree is (N - C) / N.
When choosing the second individual, the probability that they do not have a college degree is also (N - C) / N.
Since these events are independent, we can multiply the probabilities together:
P(no college degree for either individual) = (N - C) / N * (N - C) / N = (N - C)² / N².
Now, to find the probability that at least one of the individuals has a college degree, we subtract the probability of none of them having a college degree from 1:
P(at least one with a college degree) = 1 - P(no college degree for either individual) = 1 - (N - C)² / N².
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Find the equation of the line shown.
Answer:
X=2Y
Step-by-step explanation:
The equation of line is y= 1/2x whose slope is 1/2.
Given graph, take two coordinates form the graph as (4 , 2) and (8, 4).
Using the formula to calculate the slope of line as
Slope= (change in y)/ (change in x)
So, Change in y- coordinate= 4 -2 = 2
and, Change in x- coordinate= 8-4= 4
Then, substitute the value into into the slope formula as
Slope = 2 /4
slope = 1/2.
Now, using slope intercept form
\({\text} (y- y_1) =\) \({\text} m (x-x_1)\)
where m is the slope.
So, substitute the value \(y_1 = 2 \;and \;x_1= 4\) into into the formula as
(y - 2) = 1/2 (x - 4)
y- 2 = 1/2x - 2
y= 1/2x -2 +2
y= 1/2x
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