Twice a number added to their half of itself equals 20 find the number
Answers
Answer:
\(x(2) + 5\\\)
The number is 8 because \(8 * 2 = 16\)
And if you add 4, you get 20
Hence, the number is 8
Answer:
8
Step-by-step explanation:
let the number be x
=> 2x+(x/2) = 20
=> 4x+x/2 = 20
=> 5x/2 = 20
=> 5x = 20*2
=> 5x = 40
=> x = 40/5
=> x = 8
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Related Questions
Which of the following is represented by the expression below?
5x+2
aTwo more than five times a number
bFive more than 12 of a number
cFive more than twice a number
dTwo more than 15 of a number
ps its not c
Answers
Answer:
2 more than 5 times a number
Step-by-step explanation:
Use the frequency distribution to the right, which shows the number of voters (in millions) according to age to find the probability that a voter chosen at random is in the given age range not between 35 and 44 years old.
Ages of voters Frequency 18 to 20 5.9 21 to 24 106 25 to 34 23 2 35 10 44 246 45 to 64 512 65 and over 275 The probability is___ (Round to three decimal places as needed.)
Answers
The probability that a voter chosen at random is not between 35 and 44 years old is approximately 0.208.
To find the probability that a voter chosen at random is not between 35 and 44 years old, we need to calculate the proportion of voters in the given age range.
The frequency distribution table provides the number of voters (in millions) according to different age ranges. The age range we are interested in is 35 to 44.
Looking at the table, we see that the frequency for the age range 35 to 44 is 246 million voters.
To find the total number of voters in all age ranges, we sum up the frequencies for each age range. In this case, the total number of voters is 5.9 + 106 + 23 + 2 + 10 + 246 + 512 + 275 = 1179.9 million voters.
To calculate the probability, we divide the frequency of the age range we are interested in (35 to 44) by the total number of voters:
Probability = Frequency of age range 35 to 44 / Total number of voters
Probability = 246 million / 1179.9 million
Calculating this, we find: Probability ≈ 0.208 (rounded to three decimal places)
Therefore, the probability that a voter chosen at random is not between 35 and 44 years old is approximately 0.208.
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Simplify the expression -4x(6x − 7).
Answers
Answer: -24x^2+28x
Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x
Find the product of (3x + 7y)(3x - 7y). (2 points) PLEASE I NEED THIS NOW
Answers
Best luck with your studying
Answer:
(3x +7y)(3x-7y)
3²x²-21xy+21xy-7²x²
3²x²-7²y²
9x²-49y²
3
A scientist adds drops of liquid to a test tube. The test tube has marks every 5 ml.
Each drop contains 0. 14 mL. Between which two marks on the test tube will the
liquid be after the sixth drop is added? Show your work.
Answers
Between 4/5 and 5/5, 0.8 to 1 ml marks on the test-tube will the liquid be after sixth drop is added.
From this information, the scientist knows to put a drop of liquid into a test tube. The test tube is graduated in 1/5ml increments and each drop contains 0.14ml.
In this case, each drop is said to correspond to approximately 0.14 ml. It is therefore important to note that the value for the 6th drop is
= number of drops × volume per drop
= 6 × 0.14
= 0.84
where 0.84 is between 0.8 and 1 ml.
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i need help with this question
Answers
Answer:
1000ml
Step-by-step explanation:
4 days she drank ½ of the bottle
so she drank ⅛ l of juice everyday
so
1000ml is the answer
"Suppose you pay $2.00 to roll a fair die with the understanding
that you will get back $4 for rolling a 1 or a 3, nothing
otherwise. What is your expected value of your gain or loss,
round"
B) $2.00 A) $4.00 C)-$2.00 D)-$0.67
Answers
The expected value of the gain or loss from rolling the die is -$0.67 (option D). We multiply each possible outcome by its probability and sum them up.
There are two favorable outcomes (rolling a 1 or a 3) with a probability of 2/6 each (since there are six equally likely outcomes when rolling a fair die). The gain for each favorable outcome is $4. However, for the remaining four outcomes (rolling a 2, 4, 5, or 6), there is no gain and the loss is $2.
Using these values, we can calculate the expected value:
Expected value = (probability of favorable outcomes * gain per favorable outcome) + (probability of unfavorable outcomes * loss per unfavorable outcome)
Expected value = (2/6 * $4) + (4/6 * -$2) = $8/6 - $8/6 = -$0.67
Therefore, the expected value of the gain or loss from rolling the die is -$0.67, indicating a net loss on average.
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If x and y are any random variables with e(x) = 5, e(y) = 6, e(xy) = 21, v(x) = 9 and v(y) = 10, then the relationship between x and y is a:______.
Answers
The relationship between x and y is a strong negative relationship.
For this question, we need to determine the correlation coefficient,
Thus,
The correlation coefficient
= (21 - 5*6)/ \(\sqrt{9 * 10}\)
= -0.948
The above answer is too close to -1. Therefore correlation coefficient is a strong negative.
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A function is shown: f(x) = 36x² - 1.
Choose the equivalent function that best shows the x-intercepts on the graph
Answers
Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)
What are equivalent functions?Equivalent functions are different functions that have equal values when evaluated and compared
How to determin the equivalent function that best shows the x-intercepts on the graph?
The function is given as:
f(x) = 36x^2 - 1
Express 1 as 1^2
f(x) = 36x^2 - 1^2
Express 36x^2 as (6x)^2
f(x) = (6x)^2 - 1^2
Apply the difference of two squares.
This is represented as:
(a + b)(a - b) = a^2 - b^2
So, we have the following equation
f(x) = (6x - 1)(6x + 1)
Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)
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b) The average age of Kishan and Dolma is 15 years and that of Dolma and Shashwat is 14 years. If Kishan is 17 years old, find the age of Dolma and Shashwat.
Answers
Step-by-step explanation:
average means the sum of all values divided by a number of values
guys can u please help me out
Answers
Answer:
\(-0.36a^5x^6b^6\)
Step-by-step explanation:
Ok first multiply the first two monomials:
\(-0.6a^3x^6b^3\)
Then multiply THAT with the OTHER monomial:
\(-0.36a^5x^6b^6\)
This should be the answer. Let me know if it's wrong.
One litre of sewage, when allowed to settle for 30 minutes gives volume of 27 cm³. If the dry weight of this sludge is 3 grams, then its sludge volume index will be
Answers
Therefore, the sludge volume index (SVI) for this particular sludge sample is approximately 9 mL/g.
A process control measure called Sludge Volume Index is used to characterise how sludge settles in the aeration tank of an activated sludge process. It was first presented by Mohlman in 1934 and has since evolved into one of the accepted metrics for assessing the physical traits of activated sludge processes.
The volume of settled sludge (in mL) divided by the dry weight of the sludge (in grammes) yields the sludge volume index (SVI), a measurement of the settleability of sludge.
Given: The settled sludge's volume equals 27 cm3.
Sludge weighs 3 grammes when dry.
Since the SVI is normally given in mL/g, we must convert the volume from cm3 to mL in order to compute it:
The settled sludge volume is 27 millilitres.
SVI = Dry weight of sludge (in grammes) / Volume of settled sludge (in mL).
SVI = 27 mL/3 g
9 mL/g SVI
So, for this specific sludge sample, the sludge volume index (SVI) is roughly 9 mL/g.
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A heavy rope, 50 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 120 ft high.
(a) How much work is done in pulling the rope to the top of the building?
(b) How much work is done in pulling half the rope to the top of the building?
Answers
1- Which of the following has had the greatest success treating major depression? Select one
A) MAO inhibitors
B) Lithium
C) tricyclic
D) SSRIs
2- Believing that you are being singled out for attention is a (an) Select one
A) delusion of persecution
B) delusion of reference
C) delusion of orientation
D) delusion of grandeur
Answers
1. The option D) SSRIs, The greatest success in treating major depression has been observed with the use of selective serotonin reuptake inhibitors (SSRIs).
These drugs are a type of antidepressant that work by increasing the levels of serotonin in the brain. SSRIs are considered to be the most effective medication for the treatment of depression, particularly in the long-term.
2. the option B) delusion of reference ,A belief that an individual is being singled out for attention is known as delusion of reference. Delusions are a common symptom of schizophrenia and other psychotic disorders.
A delusion of reference is characterized by the belief that everyday events or objects have a special meaning that is directed specifically towards the individual. For example, an individual with this delusion may believe that the radio is broadcasting a message meant for them or that strangers on the street are staring at them because they are part of a conspiracy.
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A triangle has side lengths of (10c + 10) centimeters, (c + 5) centimeters, and
(4d - 9) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
Answers
Perimeter means that you add up the sides.
(10c + 10) + (c+5) + (4d-9)
Add like terms:
10c + c + 10 +5 -9 +4d
(11c + 6 +4d)cm is the perimeter.
Solve this equation:
3/2x - 1/5x = x - 1
Answers
Answer:
x=1 7/15
Step-by-step explanation:
2/3-1/5=7/15=1 7/15
hope this helps if so please mark me brainist
Select the following correlation that demonstrates the WEAKEST correlation between two variables.
a) +.20
b) - 50
c) +.75 d
) - 76
Answers
The correlation that demonstrates the weakest correlation between two variables is option a) +.20.
Among the given options, the correlation that demonstrates the weakest correlation between two variables is option b) -50.
In correlation coefficients, the value ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation or a very weak correlation.
Let's analyze the options provided:
a) +.20:
This indicates a positive correlation, but the value is relatively small (0.20).
It suggests a weak positive relationship between the variables.
b) -50:
This option appears to be a typographical error since the correlation coefficient cannot be negative 50.
Assuming it is meant to be -0.50, this indicates a moderate negative correlation.
c) +.75:
This option represents a strong positive correlation.
With a coefficient of 0.75, it suggests a relatively strong positive relationship between the variables.
d) -76: Similar to option b, this value appears to be a typographical error. A correlation coefficient cannot exceed the range of -1 to +1.
Assuming it is meant to be -0.76, this indicates a strong negative correlation.
Comparing the given options, the weakest correlation is option b) -50, assuming it was intended to be -0.50. A correlation coefficient of -0.50 represents a moderate negative correlation, which is weaker than the other options but still indicates some relationship between the variables.
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a ___ is the locus of points in a plane such that the difference of the distances to two fixed points called the foci is a constant.
Answers
A hyperbola is the locus of points in a plane
A hyperbola is the locus of focus in a plane with the end goal that the distinction of the distances to two fixed focuses called the foci is steady.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
The equation of the hyperbola is given as,
x²/a² - y²/b² = 1
A hyperbola is homogeneous along its conjugate axis and resembles the ellipse in many ways. A hyperbola is subject to concepts like foci, directrix, latus rectus, and eccentricity. Examples of graphs of the function that are frequently seen include the path taken by the tip of a sundial's light, the dispersion route of elementary particles, etc.
A hyperbola is the locus of focus in a plane with the end goal that the distinction of the distances to two fixed focuses called the foci is steady.
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Is negative 51 over 5 rational or irrational?
Answers
Answer:
it is rational
1. The Jordans are shopping for a new vehicle. They are pricing a 4 door
sedan. The base price is listed at $19,500. Factory Installed options total
$1,395. The destination charge is $385. What is the sticker price?
$17,720
$19,885
$20,895
$21,280
Answers
Answer:
21,280
Step-by-step explanation:
Answer:21,280
Step-by-step explanation: because I am smart and I am black BLM and LM and ALL LIVES MATTER
Graph :StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1
Answers
The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment
How to graph the equationThe expression that represents the function in words is given as
StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1
Express the equation properly
So, we have
x^2/49 + (y + 1)^2/4 = 1
The above equation is an ellipse
Next, we plot the graph on a coordinate plane using a graphing tool
See attachment for the graph of the equation
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I NEEDHELP ASAP IN ON TIMER !!!!
Which polynomial is in standard form?
A. 9+2x-8x4+16x5
B. 12x5-6x2-9x+12
C. 13x5+11x-6x2+5
D. 7x7+14x9-17x+25
Answers
LO
5
Select all the ways that zero can be
classified. select all that applied. (1 Point)
Whole number
Integer
rational number
Real number
none of the above
Answers
Answer:
?
Step-by-step explanation:
A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 293 students using Method 1 produces a testing average of 82.9. A sample of 282 students using Method 2 produces a testing average of 76.5. Assume that the population standard deviation for Method 1 is 7.97, while the population standard deviation for Method 2 is 6.66. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places. g
Answers
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as calculated from the given data is 5.20 and 7.60.
The confidence interval for the difference of the population mean is calculated as,
CI = ( x1 - x2 ) +- z x √SD1²/n1 + SD2²/n2
= ( 82.9 - 76.5) +- 1.96 x √7.97²/293+ 6.66²/n2.82
=6.4 ± 1.199
=(v5.201 , 7.599)
therefore , approximately 5.20 , 7.60 .
Therefore , the confidence interval between them is found to be as , ( 5.20 , 7.60 ) answer.
The confidence interval is a calculation based on the statistics of the observed data that estimates the amount of uncertainty associated with a sample.
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A spinner with 10 equally sized slices is shown below. (2 slices are red, 4 are blue, and 4 are yellow.) The dial is spun and stops on a slice at random. What is the probability that the dial stops on a slice that is not red?Write your answer as a fraction or a whole number.
Answers
We will have the following:
Since there are 8 slices that are not red, the probability will be given by:
\(p=\frac{8}{10}\Rightarrow p=\frac{4}{5}\Rightarrow p=0.8\)So, the probability will be of 4/5, that is 80%.
Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options.
5(x2 + 4x + 4) = –7 + 20
x + 2 = Plus or minus StartRoot StartFraction 27 Over 5 EndFraction EndRoot
5(x2 + 4x) = 7
5(x2 + 4x + 4) = 7 + 20
5(x2 + 4x) = –7
Answers
Answer:
10 x plus 20 x -7=0
23 x
Step-by-step explanation:
10 plus 20-7
23
Plz help i don't know what X is
Answers
Answer:
1,920
Step-by-step explanation:
A=L x W
so we have to multiply each number
24*8=192
192*10=1,920
A 15 foot pole extends & feet below ground and 10 feet above ground. Choose the
linear equation that models the situation.
Answers
Answer:
There is no specific linear equation for this scenario because there is only one possible length for the pole.
Step-by-step explanation:
Construct a 95% confidence interval estimate for the population mean given the values below. X=320 0 = 70 n = 228 to The 95% confidence interval for the population mean is from (Round to two decimal places as needed. Use ascending order.)
Answers
The 95% confidence interval estimate for the population mean, given the values X = 320, σ = 70, and n = 228, is from 313.14 to 326.86.
To calculate the confidence interval, we use the formula:
CI = X ± (Z * σ/√n)
where X is the sample mean, Z is the Z-score corresponding to the desired confidence level (in this case, 95% corresponds to a Z-score of 1.96), σ is the population standard deviation, and n is the sample size.
Plugging in the values, we have:
CI = 320 ± (1.96 * 70/√228)
Calculating this expression, we find that the lower bound of the confidence interval is 313.14 and the upper bound is 326.86.
This means that we can be 95% confident that the true population mean falls within this interval. In other words, if we were to take multiple samples and construct confidence intervals using the same method, approximately 95% of those intervals would capture the true population means.
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The accompanying data resulted from an experiment in which weld diameter and shear strength (in pounds) were determined for five different spot welds on steel.Below are the data collected and the regression equation.Diameter Strength200.1 813.7210.1 785.3220.1 960.4230.1 1118.0240.0 1076.2Strength = -941.6992 + 8.5988*Diametera)The predicted y-hat value for a diameter of 201 is 864. Interpret this predicted value.b)what is the predicted strength of a weld with a diameter of 51?
Answers
The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.
What is the linear system?
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.
The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern.
Given the least square regression model equation:
y hat = -959.00 + 8.60x
weld diameter x ; shear strength y (in pounds)
1 lb = 0.4536 kg
To express shear strength y in kilogram:
y is multiplied by 0.4536
(y hat × 0.4536) = -959.00 + 8.60x
Divide both sides by 0.4536
(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536
y hat = 2114.1975 + 18.959435x
y hat = 2114.20 + 18.96x
The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.
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Disclaimer
The question given by you is incomplete, the above answer is done as per a similar question
The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern. The least-squares line is y hat = -959.00 + 8.60x. Because 1 lb = 0.4536 kg, strength observations can be re-expressed in kilograms through multiplication by this conversion factor: new y = 0.4536(old y). What is the equation of the least-squares line when y is expressed in kilograms? (Give the answer to two decimal places.)