the solution is: \(w < -5\) . Since all real numbers are either less than or greater than \(-5\) , the solution set for this inequality is "All reals".
What is the parameter for the real number?To solve for w in \(w + 19 < 14\) , we need to isolate w on one side of the inequality.
This means that any value of w that is less than \(-5\) would make the inequality true.
For example, \(w = -6\) is a solution because \(-6 + 19 < 14.\) Likewise, any value of w that is greater than or equal to -5 would make the inequality false. For example, \(w = -5\) is not a solution because \(-5 + 19 = 14\) .
Subtracting 19 from both sides of the inequality, we get:
\(w + 19 - 19 < 14 - 19\)
\(w < -5\)
Therefore, the solution is: \(w < -5\) . Since all real numbers are either less than or greater than \(-5\) , the solution set for this inequality is "All reals".
Learn more about number here:
https://brainly.com/question/551408
#SPJ1
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
The required coefficients are:4, -1, -11, and 7.
Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.
In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.
In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.
We need to consider the polynomial:
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:
4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2
Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn
Taking the coefficients of the constant terms6 + 2 - 1 = 7
Therefore, the required coefficients are:4, -1, -11, and 7.
For more such questions on coefficients , Visit:
https://brainly.com/question/1038771
#SPJ8
Aisha had 2 gallons of paint. She used 4 /5 of the first gallon and 1/4 of the second gallon.
How many gallons were left over?
A: 15 gallon
B: 34 gallon
C: 1920 gallon
D: 1120 gallons
Answer:
19/20
Step-by-step explanation:
you spelled them wrong A is 1/5 B is 3/4 C is 19/20 D is 11/20 but C is the right answer
The leftover gallon of paint she has now is C: 19/20 gallon
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Aisha had 2 gallons of paint.
She used 4 /5 of the first gallon and 1/4 of the second gallon.
∴ The amount of leftover paint is 2 - (4/5 + 1/4).
= 2 - (16 + 5)/20.
= 2 - 21/20.
= (40 - 21)/20.
= 19/20.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
(b) The table below indicates the cost of certain air tel kiosk Z 0.15 0.20 0.25 0.75 0.80 0.85 1.85 1.90 1.95 2.00 2.05 QZ 0.0596 0.0793 0.0987 0.2734 0.2881 0.3023 0.4678 0.4713 0.4744 0.4772 0.4798 If it was stated that the number of telephone calls received at a switchboard is approximately normal with a mean of 580 calls and a standard deviation of 10. REQUIRED ind the possibility that on a given day the number of calls received at the switchboard will be; (a) Exactly 578 (6) Less than 57 (c) Between 561 and 600 inclusive
Using the normal distribution, it is found that there is a
a) 0% probability that the number of calls received at the switchboard will be exactly 578.
b) 0.1586 = 15.86% probability that the number of calls received at the switchboard will be less than 570.
c) 0.9485 = 94.85% probability that the number of calls received at the switchboard will be between 561 and 600.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 580, hence \(\mu = 580\).The standard deviation is of 10, hence \(\sigma = 10\).Item a:
In the normal distribution, the probability of an exact value is 0%, hence, 0% probability that the number of calls received at the switchboard will be exactly 578.
Item b:
The probability is the p-value of Z when X = 570, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{570 - 580}{10}\)
\(Z = -1\)
\(Z = -1\) has a p-value of 0.1586.
0.1586 = 15.86% probability that the number of calls received at the switchboard will be less than 570.
Item c:
This probability is the p-value of Z when X = 600 subtracted by the p-value of Z when X = 561, hence:
X = 600:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{570 - 580}{10}\)
\(Z = 2\)
\(Z = 2\) has a p-value of 0.9772.
X = 561:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{561 - 580}{10}\)
\(Z = -1.9\)
\(Z = -1.9\) has a p-value of 0.0287.
0.9772 - 0.0287 = 0.9485.
0.9485 = 94.85% probability that the number of calls received at the switchboard will be between 561 and 600.
You can learn more about the normal distribution at https://brainly.com/question/24663213
A theater owner wants to divide a 3300 seat theater into three sections, with tickets costing $40, $80, and $100, depending on the section. He wants to have twice as many $40 tickets as the sum of the other tickets, and he wants to earn $186,000 from a full house. Find how many seats he should have in each section.
The number of $40 seats is__?
The number of $80 seats is__?
The number of $100 seats is__?
Answer:
1,100 for each section
Step-by-step explanation:
3300 divided by 3 equals 1100
Help please:)
Graph the equation by plotting points.
X=4
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
Katie is mixing a new blend of perfume. Her formula calls for 12% lavender solution. She has two bottles. One is 15% and the other is 6%. How many ounces of each does she need to make 18 ounces of 12%?
Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.
What is the percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100.01
First, determine the total amount of lavender solution needed for the 18 ounces of perfume.
This is 18 ounces x 12% = 2.16 ounces.
Next, determine the amount of lavender solution in the 15% solution. This is 2.16 ounces / 0.15 = 14.4 ounces.
Subtract the amount of lavender solution in the 15% solution from the total amount needed. 2.16 - 14.4 = 0.76 oz
Determine how many ounces of the 6% solution are needed. This is 0.76 oz / 0.06 = 12.67 oz
Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.
Hence, Katie should use 14.4 oz of the 15% solution and 12.67 oz of the 6% solution to make 18 ounces of a 12% lavender solution.
To learn more about the percentage visit,
https://brainly.com/question/24877689
#SPJ1
Can you please simplify c5 x c
Answer:
5c^2
Step-by-step explanation:
i think c is a variable so,
5xcxc = 5c^2
In circle G the length of arc HI = 2 pi and measures angle HGI = 60 degrees. Find the area shaded below
The area of the circular sector is equal to 6π square units.
How to find the area of a circular sector
In this question we must determine the area of the circular sector between points H, G and I from given information of the central angle (θ), in degrees, and arc (p). The perimeter and area of the circular sector are described by the following formulae:
Area
A = (θ / 360) · π · r²
Perimeter
p = (θ / 360) · 2π · r
Where r is the radius of the circle.
If we know that p = 2π and θ = 60°, then the area of the circular sector is:
r = (360 / θ) · (p / 2π)
r = (360 / 60) · (2π / 2π)
r = 6
A = (60 / 360) · π · 6²
A = 6π
To learn more on area of circular sectors: https://brainly.com/question/13672518
#SPJ1
Please help asap!
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 29 cards, which was 10% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
The total number of cards sold for Mother's Day is 290 cards.
What is the proportions?
Proportion is a mathematical concept that expresses the equality of two ratios. Two ratios are said to be proportional if they have the same relative size or relationship.
Let x be the total number of cards sold for Mother's Day. We know that one salesman sold 29 cards, which is 10% of the total number of cards sold. Using this information, we can set up the following proportion:
(10/100) * x = 29
Simplifying, we get:
x = 290
Hence, the total number of cards sold for Mother's Day is 290 cards.
To learn more about proportions, Visit
https://brainly.com/question/870035
#SPJ1
I kinda need I’ll give you 100 points
Answer:
the second one makes more sense
Answer:
This question answer is defenetily answer B ( there is a slight association between hieght and weight)
Step-by-step explanation:
Because of how the number line is set up I do believe your answer will be B Just remember the way the number line is set up when you put the number line there and how the dots of where the number line goes plays a huge part in finding your answers. :)
Hope this helps!!!!!!!!! :)
The graph below illustrates the time students took to complete a test when all students were allowed to finish. The distribution has mean 65 minutes and standard deviation 10 minutes.Using the Empirical Rule, if the instructor sets a time limit of 75 minutes, at least _____% of students should be able to finish because this is one standard deviation above the mean.
This may be hard to put together, but I need help with an angle equation. I'm looking for example equations and how to do these types of equations. *please note that this equation is completely random and probably ends with an ugly number. it's just an example of a type of problem*
Example: (2x - 4) x=7 so (2x (x=7) - 4) =18
Remember, the equation to be solved is5x + 8 = 43. When the first step of subtractingeight is completed, what is the new equation thatresults?
Explanation
We are given the equation
\(5x+8=43\)We are also asked to find the next step to be followed when the first step of subtracting eight is completed
To do so, the steps will be
Step 1: Subtract 8 from both sides
\(\begin{gathered} 5x+8-8=43-8 \\ 5x=35 \end{gathered}\)The new equation will be
\(5x=35\)Step 2: Divide both sides by the coefficient of x (5)
We will divide both sides by 5
\(\begin{gathered} \frac{5x}{5}=\frac{35}{5} \\ \\ x=7 \end{gathered}\)Thus, the answer is 7.
Imagine math Item 994395
Start with the equation 0.2=0 to explain why -4-2 must equal -8.
Drag descriptions and equations to the table to complete the explanation.
In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.
1. Begin with the equation 0.2 = 0.
2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.
This simplifies to 0 = -0.2.
3. Observe that the right side of the equation, -0.2, is a negative number.
4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.
5. Rewrite the equation as 0 = +0.2.
6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.
7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.
8. Simplify the equation to 0 = +0.2.
9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.
10. As a result, the original equation 0.2 = 0 is invalid.
11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.
12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.
To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.
For more such questions on counterintuitive, click on:
https://brainly.com/question/17004386
#SPJ8
If g(x) is the f(x)=x after a vertical compression by 1/4 , a shift right by 1, and a shift down by 3, a) write an equation for g(x) : g(x) = b) The slope of this line is: c) The vertical intercept of this line is:
According to the given information, the final equation is g(x) = (x - 1)/4 - 3, the slope of the line is 1/4 & the vertical intercept is -3.
What is the function?
A function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output.
a) To find the equation for g(x), we need to apply the given transformations to f(x) = x:
Vertical compression by 1/4: this means that the y-values of f(x) will be multiplied by 1/4. So, the new function is g(x) = (1/4) * f(x) = (1/4) * x = x/4.
Shift right by 1: this means that the x-values of g(x) will be shifted 1 unit to the left. So, the new function is g(x) = (x - 1)/4.
Shift down by 3: this means that the y-values of g(x) will be shifted 3 units down. So, the final equation for g(x) is g(x) = (x - 1)/4 - 3.
b) The slope of this line is the coefficient of x, which is 1/4.
c) The vertical intercept of this line is the y-intercept, which is -3. To find this, we can set x = 0 in the equation for g(x):
g(0) = (0 - 1)/4 - 3 = -3
So, the vertical intercept is -3.
To know more about functions visit:
brainly.com/question/29120892
#SPJ1
A model of a statue has a scale to the actual statue of 1 inch : 8 inches. What percent of the actual statue's height is the model of the statue
Answer:
6.25%
Step-by-step explanation:
Percent = \((\frac{height in model}{actual height})*100\)
\(= \frac{1}{8}*100\\\\\\= \frac{25}{4}\\\\\\= 6.25\)
write 5x^2/3 in radical form
The radical form is \((5x)^\frac{2}{3}=\sqrt[3]{(5x)^2}\)
Given,
In the question:
Write 5x^2/3 in radical form.
Let's Know,
What is Radical Form?
An expression that uses a root, such as a square root, cube root is known as a radical notation. Therefore, 33/2 in radical form is √33 = √27. Example 2: Solve the radical: 3√x = 8 using the radical formula. Therefore, Thus, the value of x for 3√x x 3 = 8 is 512.
Now, According to the question:
\((5x)^\frac{2}{3}\)
Convert in Radical form:
Apply the rule :
\(x^\frac{m}{n} = \sqrt[n]{x^m}\)
To rewrite the exponential as a radical .
=> \((5x)^\frac{2}{3}=\sqrt[3]{(5x)^2}\)
Hence, The radical form is \((5x)^\frac{2}{3}=\sqrt[3]{(5x)^2}\)
Learn more about Radical Form at:
https://brainly.com/question/28655466
#SPJ1
Please help me answer this math problem.
Answer:
F. g(x)=f(x)-5
Step-by-step explanation:
Verify the identity 1 - sin^2 x cot^2 x = sin^2 x. Is there more than one way to verify the identity? If so, tell which way you think is easier and why.
Answer:
the given identity is true.
Step-by-step explanation:
this identity may be verified using several ways, the simpliest is:
1-sin^2xcot^2x=sin^2x;
\(1-sin^2x*\frac{cos^2x}{sin^2x}=sin^2x;\)
1-cos^2 x=sin^2 x;
sin^2 x= sin^2 x.
Look at the screenshot
Answer:
37.5 is the answer to the problem
Need help with top problem. Maybe bottom too
1) The area of a circle circumscribed about a square is 307.7 cm².
2.a.) The angle ACB is 39 degrees.°.
2b.) The value of x is 5.42.
How to determine the area of a circle?We shall find the radius to determine the area of a circle.
First, find the side length of the square:
Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.
Next, find the diagonal of the square, using the Pythagorean theorem:
Diagonal = the diameter of the circumscribed circle.
Diagonal² = side length² + side length²
= 14 cm² + 14 cm²
= 196 cm² + 196 cm²
= 392 cm²
Take the square root of both sides:
Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)
Then, the radius of the circle which is half the diagonal:
Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)
Finally, compute the area of the circle using the formula:
Area = π * Radius²
Area = 3.14 * (9.90 cm)²
Area ≈ 307.7 cm² (rounded to two decimal places)
Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².
2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.
Given that arc AB has a measure of 78°, we can find angle ACB as follows:
Angle ACB = 1/2 * arc AB
= 1/2 * 78°
= 39°
Therefore, the angle ACB is 39 degrees.
2b.) To solve for the value of x, we use the information that the angle ADB = (3x - 12)⁴.
Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:
(3x - 12)⁴ = 78
Solve the equation for x, by taking the fourth root of both sides:
∛∛((3x - 12)⁴) = ∛∛78
Simplify,
3x - 12 = ∛(78)
Isolate x by adding 12 to both sides:
3x - 12 + 12 = ∛(78) + 12
3x = ∛(78) + 12
Finally, divide both sides by 3:
x = (∛(78) + 12) / 3
x = (4.27 +12) / 3
x = 5.42
So, x is 5.42
Therefore,
1) The area of the circle is 154 cm².
2a.) Angle ACB is equal to 102°.
2b.) The value of x is 5.42
Learn more about the area of a circle at brainly.com/question/12374325
#SPJ1
2. Suppose you want to estimate the proportion of vehicles on the road in your hometown that
are sport utility vehicles (SUVs). You decide to stand at the intersection closest to your
home between 7 and 8 A.M. every morning for a week, keeping track of how many vehicles
go by and how many of them are SUVs.
a. What is the population of interest in this study?
b. What is the variable of interest in this study?
c. What is the parameter of interest and what symbol should we use to denote it?
d. What is the statistic, what symbol should we use to denote it, and what is its value?
e. Is this a simple random sample?
f. Is the sampling method likely to be biased for estimating the proportion of vehicles
on the road in your hometown that are SUVs? Explain.
Answer: kindly check explanation
Step-by-step explanation:
A.) The population of interest refers to all the entire observations belonging to a certain group or category in a study, hence all vehicles on the road in your hometown is the population of interest in the scenario described above.
B.) Variable of interest refers to what we aim to study, measure or observe in our population or sample, Hence, the variable of Interest is to determine if a certain vehicle is an SUV or NOT
C.) What is the parameter of interest and what symbol should we use to denote it?
The parameter are numeric computations derived from a population. Which is the proportion of SUV's in the population of vehicles in hometown
d. What is the statistic, what symbol should we use to denote it, and what is its value?
Statistic derived from the sample and it is hence the proportion of SUV's that pass the intersection between 7 - 8 am (as the number of vehicles that pass at this time is only a subset of the entire vehicle population).
E.) Yes it is a simple Random sampling, because the number of SUV's or vehicles are entirely by chance.
F.) Given the time of sampling and the fact that SUV's are mostly driven by official workers and parents, the number of SUV's may likely surge at this time due to those leaving for work and kids being dropped at their various schools.
Teresa piano recital starts at 2:41 p.m. It ended at 6:36 pm how long did the recital last
Answer:
way too long
Step-by-step explanation:
jk, 3 hours and 55 minutes
Please help me if you help me the first one will get brainless
Answer:
2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
The constant is 2/5 because it is not linked to a variable.
plz answer the question ASAP
Review: Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?
Answer:
she delivers 9 flower plugs.
Step-by-step explanation:
in a standard equation the equation would be 21 = 2x + 3 and if you isolate the x you would have to first subtract the 3 from both sides and that would leave you with 18 = 2x and then you have to divide both sides by 2 and get 9=x
Suppose a college student pays $1050 for tuition fees. However, she also has to pay $250 for her textbooks (ouch!). What percent of her total education costs does she pay for her books?
Answer:
23%
Step-by-step explanation:
Divide:
250/1050
3/8 + 1/8 - 2/7 + 1/4 equals
Answer:
Step-by-step explanation: 37/56
Find the missing dimension. Use the scale factor 1: 8.
Model length: 6 cm.
Actual length: ?cm.
What is the actual length
Answer:
9cm
Step-by-step explanation:if im wrong sorry