Answer:
B
Step-by-step explanation:
We are given the equation:
\(\displaystyle -\left|3 + x\right| = c\)
And we want to determine the values of c for which the equation has no solution.
Recall that absolute values can only output zero or positive values.
Rewrite the equation:
\(\displaystyle \left | 3 + x \right| = -c\)
Hence, in order to have no solution, -c must be negative. That is:
\(\displaystyle - c < 0\)
Simplify:
\(\displaystyle c > 0\)
Hence, our answer is B.
A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the margin of error for a 80 % confidence interval for the mean purchases of all customers
Answer:
$5.03Step-by-step explanation:
Given data
Sample Mean (M): $48.77
Sample Size (n): 20
Standard Deviation (σ) : $17.58
Confidence Level: 80%
we know that z*-Values for 80% Confidence Levels is 1.28
the expression for margin of error is given bellow\
MOE= z*σ/√n
We can now substitute into the expression and solve for the MOE as
MOE= 1.28*17.58/√20
MOE= 22.502/4.47
MOE= 22.502/4.47
MOE= 5.03
The margin of error for a 80 % confidence interval is $5.03
Select the true equations from 2 lb =32 oz , 4oz = 64 lb , 3lb 4 oz = 52 oz , 0.5 lb = 12 oz , 3 T = 600 lb , 0.5 T = 1000 lb
Answer:
3lb 4oz and .5T=1000lbs
Step-by-step explanation:
1 lb = 16 oz 3×16=48 then +4 = 52 and 1T=2000lbs 2000 ÷ 2=1000
Slope is 1 and (-2,1) is on the line
Answer:
y = x + 3
Step-by-step explanation:
Write the equation?
Use:
m (slope) = 1
x = -2
y = 1
y=mx + b
1 = 1(-2) +B
1 = -2 + b Add 2 to both sides
3 = b
y = mx + b
y = 1x + 3
y = x + 3
The volume of a rectangular prism is 5,890.625 cm3. If the height is 14.5 cm and the length is 25 cm, what is the value of the width?
Answer:
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.
Substituting these values into the formula, we get:
5,890.625 = 25w(14.5)
5,890.625 = 362.5w
w = 16.25
Therefore, the width of the rectangular prism is 16.25 cm.
Answer:
It's A
Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25
I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY FIRST
Answer:
2 liter = 2000 ml
2000/250 = 8 bottles Step-by-step explanation:
what is the answer to he equation to of x+3 x 4x-7
Answer:
4x^2 +5x -21
Step-by-step explanation:
(x+3) * (4x-7)
FOIL
first : x*4x = 4x^2
outer: -7x
inner: 3*4x =12x
last: -7*3 = -21
Add them together : 4x^2 -7x+12x -21
Combine like terms : 4x^2 +5x -21
Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place if necessary
Solution:
Given;
\(\begin{gathered} \mu=59 \\ \sigma=10 \\ n=36 \end{gathered}\)To find the standard deviation of the sampling distribution of the sample mean, the formula is
\(Standard\text{ deviation }\bar{X}=\frac{\sigma}{\sqrt{n}}\)Substituting the values of the variables
\(\begin{gathered} Standard\text{ dev}\imaginaryI\text{at}\imaginaryI\text{on }\bar{X}=\frac{\sigma}{\sqrt{n}} \\ Standard\text{ dev}\mathrm{i}\text{at}\mathrm{i}\text{on }\bar{X}=\frac{10}{\sqrt{36}}=\frac{10}{6}=1.66666 \\ Standard\text{ deviation }\bar{X}=1.7\text{ \lparen one decimal place\rparen} \end{gathered}\)Hence, the answer is 1.7 (one decimal place)
A certain antihistamine is often prescribed for allergies. A typical dose for a 100-pound person is 22 mg every six hours. Complete parts (a) and (b) below. a. Following this dosage, how many 12.3 mg chewable tablets would be taken in a week? b. This antihistamine also comes in a liquid form with a concentration of 12.3 mg/ 6mL. Following the prescribed dosage, how much liquid antihistamine should a 100-pound person take in a week?
On solving the provided question, we can say that equation is 532/13.5 = 39.4 doses
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
equation is
week * 7( days/week) * 24(hours/day) * 19/6(MILIGRAMS/HOURS)
532 milligrams for a week
532/13.5 = 39.4 doses
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given the following information for langs, inc., calculate per share dividend dollar amount (that is, the dividends per share), rounded to the nearest cent (i.e., $5.21843
The per share dividend dollar amount paid out by Langs Inc. in 2020 is $0.50.
To calculate the per-share dividend dollar amount, we first need to calculate the total dividends paid out in 2020. We can find this by subtracting the retained earnings at the end of 2019 from the retained earnings at the end of 2020: $4,326,800 - $4,216,800 = $110,000. This $110,000 represents the total dividends paid out in 2020, since the company only uses retained earnings to pay dividends.
Next, we divide the total dividends by the number of shares outstanding at the end of 2020: $110,000 / 220,000 shares = $0.50. This is the per share dividend dollar amount, rounded to the nearest cent.
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Complete Question:
Given the following information for Langs, Inc., calculate per share dividend dollar amount (that is, the dividends per share), rounded to the nearest cent (i.e., $5.21843 = $5.22) that the company paid out in 2020:
Retained earnings reported on December 31, 2019 balance sheet: $4,216,800 Retained earnings reported on December 31, 2020 balance sheet: $4,326,800 Net Income reported on December 31, 2019 income statement: $658,700 Net Income reported on December 31, 2020 income statement: $547,900 Number of shares of common stock outstanding at the end of 2019: 206,600 shares Number of shares of common stock outstanding at the end of 2020: 220,000 sharesWhat rule describes the rotation about the origin? (x, y) → How many degrees was the figure rotated about the origin?
Answer:
-x,-y
180
Step-by-step explanation:
ED 2020
The required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The coordinate of the given point is (1, 1), and after rotation coordinates are (-1, -1) about the origin. It shifted from 1st quadrat to the 3rd quadrant. It implies,
The point rotated with an angle of 180° so that its coordinates were translated by formula,
(x, y) ⇒ (-x, -y).
Thus, the required rule describes the rotation about the origin is given as (-x, -y). And the measure of rotation is 180°.
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please answer this thank you
Answer:
diameter [d]=15cm
radius [r]=7.5cm
slant height be l
and
height be h.
lateral surface area of cone =
πrl=477cm²
l=477/(3.1416*7.5)
l=20.244
now
h=\(\sqrt{20.2²-(7.5/2)²}=20cm\)
height=20cm.
LSA of cone = πrl = 477cm²
L = 477/(3.1416 × 7.5)
L = 20.244
Height (h) = √{20.2²-(7.5/2)²}
h = 20cm
Find the point at which the line with parametric equations x = 2 3t, y =-4t, z =5 t intersects the plane 4x 5y -2z=18
It looks like you have
\(\begin{cases}x=2+3t\\y=-4t\\z=5+t\end{cases}\)
Substituting these in to the plane equation, we have
\(4x+5y-2z = 4(2+3t) + 5(-4t) - 2(5+t) = -2-10t = 18 \\\\ \implies-10t = 20 \implies t = -2\)
When \(t=-2\), we get the point
\(\begin{cases}x=2+3(-2)\\y=-4(-2)\\z=5+(-2)\end{cases} \implies (x,y,z) = \boxed{(-4,8,3)}\)
Help please? Write the equation for the Red line.
Simplify the following expression:
√-36+√-100+ 7
O A. 7+ 16i
OB. 7+√136i
O C. 16
C. 16 - 7i
O D. 23 + 0i
PLEASE PLEASE PLEASE PLEASE HELP!
Answer:
x=40°
Step-by-step explanation:
x=180-75-65=40°
Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27
the square root of 50
Answer:
The square root of 50 is approximately 7.07.
Answer:
7.07106781187...
Step-by-step explanation:
its an irrational number
Write an equation for the function graphed below
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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Collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community. Arrange the maximum temperature of the 30 days in ascending order to summarize the data. Determine the mean, mode, median, and range. Use the maximum temperature data and draw for each section a frequency table with appropriate intervals in ANNEXTURE B Display or represent the data from the frequency table on a pie chart in ANNEXTURE B. First, calculate the size of the angles for the pie chart. Example: Intervals between 20-30 are 5. Therefore the proportion of the Segment: 11 [360° = 72° Show all your calculations. 11 Which data collection best describe the maximum and why?
Answer:
I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.
To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:
25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22
The sum of the values is:
25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813
Dividing by the number of values (30), we get:
Mean = 813/30 = 27.1
To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.
To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:
20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34
There are 30 values, so the median is the 15th value, which is 28.
To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:
Range = 34 - 20 = 14
To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:
20-24, 25-29, 30-34
The frequency table would look like this:
Interval | Frequency
20-24 | 4
25-29 | 18
30-34 | 8
To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:
Proportion = Frequency/Total frequency = 18/30 = 0.6
Angle = Proportion * 360° = 0.6 * 360° = 216°
We can repeat this calculation for each interval to obtain the angles for the pie chart.
In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.
-4(3x + 2) =
what is it I need it as fast as you guys can please help
Answer:
-12x-8
Step-by-step explanation:
Use Math Way
Answer:
-12x-8
Step-by-step explanation:
-4(3x+2)
-4*3x= -12
-4*2=-8
Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA
Hope it helps you....
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The diameter of a circle is 8 mm. What is the circumference of the circle?
19 1/4 mm
25 1/7 mm
50 2/7 mm
11/28 mm
Answer:The diameter of a circle is 8 mm. What is the circumference of the circle?
25 1/7 mm is the correct answer
Step-by-step explanation:
In circle M below, diameter AC, chords AB and BC, and radius MB
are drawn.
The statement which is not true about the circle M is ∆ABM is isosceles.
The correct answer choice is option 2.
Which statement is not true?Based on the circle M;
diameter AC,
chords AB and BC,
radius MB
Isosceles triangle: This is a type of triangle which has two equal sides and angles.
Equilateral triangle is a triangle which has three equal sides and angles.
Hence, ∆ABM is equilateral triangle.
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bronwyns mows 12,000ft in 2/3 hours and her brother can mow 15,000ft in 3/4 hours. who mows in less times
Answer:
The brother does
Step-by-step explanation:
browyns take 40 minutes, 12,000/40= 300ft a minute
brother takes 45, 15,000/45= 333ft a minute
333>300
If η. is an even positive integer, the double factorial notation represents the product of all the even integers from to η. For example 8! = 2 . 4. 6. 8 . What is the units digit of the following sum?
a. 0
b. 2
c. 4
d. 6
e. 8
The units digit of the double factorial notation is the units digit of the product of all the even integers from 2 to 8, which is 8! The units digit of 8! is 8, so the answer is 8.
What is meant by the term factorials?Factorials are mathematical operations symbolized by an exclamation point following a number. To find the factorial of a number, such as 5, write it down as 5! then multiply it by all the positive integers less than 5, including 1. Therefore, 5! is equivalent to 5 x 4 x 3 x 2 x 1, or 120. Factorials are frequently employed in mathematical equations and computations, especially in probability and statistics, where they are used to calculate the number of combinations or permutations that may be made from a given collection of numbers or variables. For example, if you had 5 distinct objects and want to determine how many various combinations , you used the factorial of 5.
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a square is cut from rectangle the side length of the square is half of the unknown with W the area of the Shaded region is 84 square inches write an equation you can use to find the width in inches
Answer:
Step-by-step explanation:
Just give me the answer
how oes the relationship between logarithms and exponential functions help us find solutions
The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.
Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.
One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.
Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.
This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.
Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.
In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.
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A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanying data (from "Engineering Properties of Soil," Soil Science, 1998: 93–102).1.10 5.09 0.97 1.59 4.60 0.32 0.55 1.450.14 4.47 1.20 3.50 5.02 4.67 5.22 2.693.98 3.17 3.03 2.21 0.69 4.47 3.31 1.170.76 1.17 1.57 2.62 1.66 2.05The values of the sample mean, sample standard deviation,and (estimated) standard error of the mean are2.481, 1.616, and .295, respectively. Does this data suggestthat the true average percentage of organic matterin such soil is something other than 3%? Carry out atest of the appropriate hypotheses at significance level.10. Would your conclusion be different if a 5 .05 hadbeen used? [Note: A normal probability plot of the datashows an acceptable pattern in light of the reasonablylarge sample size.]
Answer:
We conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.
We conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.
Step-by-step explanation:
We are given a random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen;
1.10, 5.09, 0.97, 1.59, 4.60, 0.32, 0.55, 1.45, 0.14, 4.47, 1.20, 3.50, 5.02, 4.67, 5.22, 2.69, 3.98, 3.17, 3.03, 2.21, 0.69, 4.47, 3.31, 1.17, 0.76, 1.17, 1.57, 2.62, 1.66, 2.05.
Let \(\mu\) = true average percentage of organic matter
So, Null Hypothesis, \(H_0\) : \(\mu\) = 3% {means that the true average percentage of organic matter in such soil is 3%}
Alternate Hypothesis, \(H_A\) : \(\mu \neq\) 3% {means that the true average percentage of organic matter in such soil is something other than 3%}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\) ~ \(t_n_-_1\)
where, \(\bar X\) = sample mean percentage of organic matter = 2.481%
s = sample standard deviation = 1.616%
n = sample of soil specimens = 30
So, the test statistics = \(\frac{2.481-3}{\frac{1.616}{\sqrt{30} } }\) ~ \(t_2_9\)
= -1.76
The value of t-test statistics is -1.76.
(a) Now, at 10% level of significance the t table gives a critical value of -1.699 and 1.699 at 29 degrees of freedom for the two-tailed test.
Since the value of our test statistics doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.
(b) Now, at 5% level of significance the t table gives a critical value of -2.045 and 2.045 at 29 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.
2. Estados Unidos importa actualmente todo su café. La demanda anual de café por parte de los consumidores estadounidenses viene dada por la curva de demanda Q = 250 – 10P, donde Q es la cantidad (en millones de libras) y P es el precio de mercado por libra de café. Los productores mundiales pueden cosechar y enviar café a los distribuidores estadounidenses con un coste marginal (= medio) constante de 8 dólares por libra. Los distribuidores estadounidenses pueden distribuir a su vez el café a un precio constante de 2 dólares por libra. El mercado de café de Estados Unidos es competitivo. El Congreso está considerando la posibilidad de establecer un arancel sobre las importaciones de café de 2 dólares por libra.
a. Si no hay ningún arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
b. Si se establece el arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
c. Calcule la pérdida de excedente del consumidor.
d. Calcule los ingresos fiscales recaudados por el Estado.
e. ¿Genera el arancel una ganancia neta a la sociedad en su conjunto o una pérdida neta?
which equation can be simplified to find the inverse of y x2 7
x = y² - 7 is the simplified inverse equation of the equation y = x² - 7.
What is Inverse function?Inverse function is a function which reverse one function to another.
If a function f takes the variable x to y, then the inverse of a function must takes y to x.
To get the inverse of the function, we have to interchange the variables.
Given equation is y = x² - 7
Now interchange the variable x to y and y to x,
we get x = y² - 7
Hence, the required equation is x = y² - 7
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