25% discount means we pay 100% - 25% = 75% of the original price.
Relationship between sale price and regular price?
SalePrice = (1 - 25/100) × RegularPrice
Sale price is 75% of regular price.
In ΔCDE, the measure of ∠E=90°, the measure of ∠D=50°, and DE = 8. 1 feet. Find the length of CD to the nearest tenth of a foot
Answer:
12.6 ft
Step-by-step explanation:
Trig functions relate the sides and angles in a right triangle. Here, we're given an angle and an adjacent side, and we're asked to find the hypotenuse. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(50°) = DE/CD = (8.1 ft)/CD
Solving for CD, we find ...
CD = (8.1 ft)/cos(50°) ≈ 12.601 ft
The length of CD is about 12.6 feet.
Which ordered pair is in the solution set of 12x - 28y < 56?
help please & if you have the answer pls explain
The ordered pair (2, 2) and (3,1) is in the solution set of the inequality 12x - 28y < 56.
Let's consider the ordered pair (3, 1). To check whether this ordered pair is in the solution set of the inequality, we need to substitute x = 3 and y = 1 into the inequality as follows:
12(3) - 28(1) < 56
Simplifying this expression, we get:
36 - 28 < 56
8 < 56
This is a true statement, which means that the ordered pair (3, 1) is in the solution set of the inequality 12x - 28y < 56.
Now, let's consider another ordered pair, say (2, 2). To check whether this ordered pair is in the solution set of the inequality, we need to substitute x = 2 and y = 2 into the inequality as follows:
12(2) - 28(2) < 56
Simplifying this expression, we get:
24 - 56 < 56
-32 < 56
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: Đẳng thức nào sau đây đúng ?
A. cos4x – sin4x = 2-cos2x B. cos4x – sin4x = 1+2sin2x
Step-by-step explanation:
A. cos4x-sin4x=2-cos2x
When mutex lock is implemented as a binary semaphore, what should its value be initialized to be?
a) 0
b) 1
c) -1
d) none of the above
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
To find the z-score for a sales associate who earns $37,500, we can use the formula:
z = (x - μ) / σ
Where:
x is the value we want to convert to a z-score (in this case, $37,500),
μ is the mean of the distribution (in this case, $32,500), and
σ is the standard deviation of the distribution (in this case, $2,500).
Substituting the given values into the formula, we have:
z = (37,500 - 32,500) / 2,500
z = 5,000 / 2,500
z = 2
Therefore, the z-score for a sales associate who earns $37,500 is 2.
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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.
Explanation:The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.
We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:
Z = (Value - Mean) / Standard Deviation
So, the z-score for an associate earning $37,500 would be:
Z = ($37,500 - $32,500) / $2,500
This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.
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Luke, Kira and Ali each served 2/3 of their own cake. Each cake was the same size, but luke served 4 slices, Kira served 6 slices and Ali served 8 slices. How is this possible?
Answer:
The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.
Step-by-step explanation:
It's possible because they cut cakes into different number of slices.
You know that Luke, Kira and Ali each served \(\frac{2}{3}\) of their own cake and Luke served 4 slices, Kira served 6 slices and Ali served 8 slices.
Being x the whole slices of cake, and if Luke served \(\frac{2}{3}\) of his cake, which are 4 slices, the whole slices of cake of Luke is:
\(\frac{2}{3}*x=4 slices\)
Solving:
x= 4 ÷\(\frac{2}{3}\)
x= 6
Then, whole slices of Luke's cake is 6.
Performing the same approach for Kira you get:
\(\frac{2}{3}*x=6 slices\)
x= 6 ÷\(\frac{2}{3}\)
x= 9
Then, whole slices of Kira's cake is 9.
Finally, performing the same approach for Ali you get:
\(\frac{2}{3}*x=8 slices\)
x= 8 ÷\(\frac{2}{3}\)
x= 12
Then, whole slices of Ali's cake is 12.
The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.
medication are is available only in 350,000 micrograms per 0.6 ml the orders to administer 1 g in the IV stat how many milliliters will I give
To administer 1 gram of the medication, you would need to give approximately 1.714 milliliters.
To determine the number of milliliters to administer in order to give 1 gram of medication, we need to convert the units appropriately.
Given that the medication is available in 350,000 micrograms per 0.6 ml, we can set up a proportion to find the equivalent amount in grams:
350,000 mcg / 0.6 ml = 1,000,000 mcg / x ml
Cross-multiplying and solving for x, we get:
x = (0.6 ml * 1,000,000 mcg) / 350,000 mcg
x = 1.714 ml
Therefore, to administer 1 gram of the medication, you would need to give approximately 1.714 milliliters.
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Rent expense in Volusia Company's 2014 income statement is $420,000. If Prepaid Rent was $70,000 at December 31, 2013, and is $95,000 at December 31, 2014, the cash paid for rent during 2014 is:A. $480,000B. $445,000C. $395,000D. $420,000
As per the mentioned informations, the cash paid for rent during 2014 is calculated to be $395,000. So, the correct answer is option (C) i.e. $395,000.
To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:
Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period
Substituting the values given in the problem, we get:
Cash paid for rent = $420,000 + $70,000 - $95,000
Cash paid for rent = $395,000
Therefore, it can be concluded that the correct answer is (C) $395,000.
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4.89 consider the joint density function f(x, y) = 16y x3 , x> 2, 0
Joint density function is as follows: \(f(x, y) = 16y\ x3 , x > 2, 0 \leq y \leq 1\).
We need to find the marginal density function of X. Using the formula of marginal density function, \(f_X(x) = \int f(x, y) dy\)
Here, bounds of y are 0 to 1.
\(f_X(x) =\int 0 1 16y\ x3\ dyf_X(x) \\= 8x^3\)
Now, the marginal density function of X is \(8x^3\).
Marginal density function helps to find the probability of one random variable from a joint probability distribution.
To find the marginal density function of X, we need to integrate the joint density function with respect to Y and keep the bounds of Y constant. After integrating, we will get a function which is only a function of X.
The marginal density function of X can be obtained by solving this function.
Here, we have found the marginal density function of X by integrating the given joint density function with respect to Y and the bounds of Y are 0 to 1. After integrating, we get a function which is only a function of X, i.e. 8x³.
The marginal density function of X is \(8x^3\).
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For a two-tailed hypothesis test about µ, we can use any of the following approaches excepta. compare the level of significance to the confidence coefficientb. compare the value of the test statistic to the critical valuec. compare the p-value to the value of a
For a two-tailed hypothesis test about μ, we can use any of the following approaches except comparing the level of significance; to the confidence coefficient
To determine if the sample mean is substantially more than or significantly less than the population mean, a two-tailed hypothesis test is used. The area under both tails or sides of a normal distribution is what gives the two-tailed test its name.
Any of the following methods, with the exception of comparing the level of significance to the confidence coefficient, can be used for a two-tailed hypothesis test regarding. To create a confidence interval estimate for the population mean, approach (d) compares the level of significance which is a to the confidence coefficient which is 1- a. This method is employed to estimate the population parameter rather than test a hypothesis.
Complete Question:
For a two-tailed hypothesis test about μ, we can use any of the following approaches EXCEPT compare the _____ to the _____.
a.confidence interval estimate of μ; hypothesized value of μ
b.p-value; value of α
c.value of the test statistic; critical value
d.level of significance; confidence coefficient
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Find the moment of inertia of a plate covering the first-quadrant region bounded by y^2 = x, x = 4, and the x-axis with respect to the x-axis.
The moment of inertia is
The moment of inertia of the plate with respect to the x-axis is approximately 101.5. The units will depend on the units used for the limits of integration.
What is moment of inertia?Moment of inertia is a measure of an object's resistance to rotational motion around an axis. It is the sum of the products of each particle's mass with the square of its distance from the axis of rotation. The moment of inertia depends on the shape and mass distribution of the object. It is often denoted by the symbol I and has units of kg·m² in the SI system.In the given question,
To find the moment of inertia of a plate, we integrate the product of the density, the distance from the axis of rotation, and the differential area element over the region of interest.
In this case, we want to find the moment of inertia of a plate covering the first-quadrant region bounded by y² = x, x = 4, and the x-axis with respect to the x-axis.
First, we need to find the limits of integration for x and y. From the equation y² = x, we can see that y ranges from 0 to 2, and x ranges from 0 to 4.The density of the plate is not given,
so we will assume a constant density of 1.Next, we need to find the distance from the x-axis for each point on the plate.
Since we are rotating around the x-axis, the distance from the x-axis is simply y.
Finally, we need to find the differential area element. Since the region is in the first quadrant, we can use
\(dA = dy*dx.\)
Putting it all together, the moment of inertia is:
\(I = \iint_{D} y^2 \, dy \, dx\)The limits of integration are:0 ≤ y ≤ 20 ≤ x ≤ 4
We can integrate with respect to y first,
since that is the inner integral:
\($\begin{aligned}I &= \int_{0}^{4} \int_{0}^{2} (1) \, dy \, dx \\&= \int_{0}^{4} \left[ y \right]_{0}^{2} \, dx \\&= \int_{0}^{4} x^{3/2} \, dx \\&= \left( \frac{16}{5} \right) x^{5/2} \bigg|_{0}^{4} \\&= \left( \frac{16}{5} \right) (4^{5/2} - 0) \\&\approx 101.5\end{aligned}\)
Therefore, the moment of inertia of the plate with respect to the x-axis is approximately 101.5. The units will depend on the units used for the limits of integration (e.g. cm⁴, m⁴, etc.).
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In a normal distribution, 95% of the data falls within 1 standard deviation of
the mean.
true or false
Answer:
False.
Step-by-step explanation:
In a normal distribution, 95% of the data falls within 2 standard deviations of the mean.
False, In a normal distribution, 95% of the data do not falls within 1 standard deviation of the mean.
Is the statement correct ?The empirical rule or 68-95-99.7% rule can give us a good info about normal distribution.
This rule tells us that around 68% of the data will fall within one standard deviation of the mean, whereas around 95% will fall within two standard deviations of the mean and 99.7% will fall within three standard deviations of the mean.
Here given that, in a normal distribution, 95% of the data falls within 1 standard deviations of the mean, which is wrong because in the above description we states that, 95% will fall within two standard deviations of the mean.
So, the given statement is false.
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Which value of y would make O P is parallel to L N?
16
24
32
36
Answer:
D. 36 units
Step-by-step explanation:
credit to user calculista
HELP....... I NEED THIS ASAP!
The inequality that describes the given number line graph is
-1 ≤ x < -∞
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The line graph shows that the value is between -1 and -∞.
The inequality that describes the graph.
-1 ≤ x < -∞
Thus,
-1 ≤ x < -∞ is the inequality of the graph.
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What is the diameter of the small volcano "Pico" at the \( 2000 \mathrm{~m} \) isoline? (meters) Remember \( 1 \mathrm{~km}=1000 \mathrm{~m} \)
The diameter of the small volcano 'Pico' would be = 8km
What is an isoline of a map?An isoline is defined as the line found on a map that has constant value of either distance, temperature or rainfall.
The isoline that is used in the given map above = 2000m.
The number of lines that surrounds the pico volcano = 4
Therefore the diameter of the volcano = 2000×4 = 8000m
But 1000m = 1km
8000m = 8km
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Geometry- Copy and complete the statement.
Answer:
X+y over y
Step-by-step explanation:
X+y over y
Hope it helps
the concentric circles on an archery target are 6 inches apart. the inner circle (red) has a perimeter of 37.7 inches. what is the perimeter of the next-largest (yellow) circle?
Let's denote the radius of the red circle by r, then the circumference of the red circle is 2πr. We know that the perimeter of the red circle is 37.7 inches, so:
2πr = 37.7
Solving for r, we get:
r = 37.7 / (2π) = 6.002 inches (rounded to three decimal places)
The radius of the yellow circle is 6 inches larger than the radius of the red circle, so:
r_yellow = r_red + 6 = 12.002 inches
Therefore, the circumference of the yellow circle is:
2πr_yellow = 2π(12.002) = 75.4 inches (rounded to one decimal place)
So the perimeter of the next-largest (yellow) circle is approximately 75.4 inches.
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Which line screen setting are you most likely to use when printing a newspaper?
When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).
Verify that the following equation is an identity. (cos 2x + sin 2y)^2 = 1 + sin 4x Expand the expression on the left side, but do not apply any trigonometric identities. (cos 2x + sin 2x)^2 = Rearrange the terms and apply a Pythagorean identity, Type the new expression below.
Yes, the equation \((cos 2x + sin 2y)^2 = 1\)+ sin 4x is an identity.
What is following equation is an identity?. (cos 2x + sin 2y)^2 = 1 + sin 4xThe given equation is \((cos 2x + sin 2y)^2 = 1 +\)sin 4x. To verify that it is an identity, we need to expand the expression on the left side without applying any trigonometric identities. By using the binomial expansion, we have \((cos 2x)^2 + 2(cos 2x)(sin 2y) + (sin 2y)^2.\)
Next, we can rearrange the terms in the expression to obtain (\(cos^2 2x) + 2(cos 2x)(sin 2y) + (sin^2 2y).\) Now, applying the Pythagorean identity sin^2 θ + cos^2 θ = 1, we can replace \((cos^2 2x) and (sin^2 2y) with 1 - sin^2 2x and 1 - cos^2 2y\) respectively.
After substitution, we get 1 - \(sin^2 2x + 2(cos 2x)(sin 2y) + 1 - cos^2 2y.\)Simplifying further, we have \(2 - sin^2 2x - cos^2 2y + 2(cos 2x)(sin 2y)\). Applying the Pythagorean identity again, \(sin^2 θ + cos^2 θ = 1\), we can simplify the equation to\(2 + 2(cos 2x)(sin 2y).\)
Now, we can observe that 2 + 2(cos 2x)(sin 2y) is equivalent to 1 + sin 4x, which was the right side of the original equation. Therefore, we can conclude that the equation (c\(os 2x + sin 2y)^2 = 1 +\) sin 4x is an identity.
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2) Michael decides to go for a cycle ride. He rides a
distance of 80 km at an average speed of 24 km/h.
Work out how long Michael’s ride takes
Step-by-step explanation:
REMEMBER D/S×T (triangle)
therefore, finding time
D/S
80/24
make sure to press the degrees button on your calculator
3 hours and 20 minutes
what is 7x 6/10 this is worth pionts i think anyone
Answer:
4.2 or 21/5.
Note:
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A local charity collected an estimated 38.2 million dollar last year . How is this amount written using science notation?
Answer:
3.82 X 10 to the sixth power
Step-by-step explanation:
Quadratic equation whose roots are -6 and 2 and whose leading coefficient is 2
Answer:
x² + 4x - 12
Step-by-step explanation:
Roots: -6 and 2
Leading coefficient: x²
(x + 6)(x - 2)
x(x - 2) + 6(x - 2)
x² - 2x + 6x - 12
x² + 4x - 12
I hope this helps!
A circle has an area of 2,464 cm², what is the diameter of the circle?
Answer:
56cm
Step-by-step explanation:
\(2.464 {cm}^{2} = 22 \times {r}^{2} \)
\( {r }^{2} = 2.646 = 784\)
\(r = \sqrt{784} = 28\)
\( 2×28 \)
\(\boxed{\green{Diameter}{ = 56cm}}\)
The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b). True False
The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.
In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.
To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].
Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).
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The scale factor of the blue rectangle to the green rectangle (p is the center of dilation ) is
Answer:
scale factor of 2
Step-by-step explanation:
multiplication go brrrr
bicycle rental company charges a $5 flat fee plus $1.20 per hour. Select the expression that represents renting a bicycle for h hours. A. 5h + 120h B. (5 + 1.20)h C. 5 + 1.20h D. 5h + 1.20
Answer:
a
Step-by-step explanation:
What is the overall reaction equation? upper n upper h subscript 3 (g) plus one half upper c upper h subscript 4 (g) right arrow 3 upper h subscript 2 (g) plus one half upper h upper c upper n (g). Upper h upper n subscript 3 (g) plus upper c upper h subscript 4 (g) right arrow 6 upper h subscript 2 (g) plus upper h upper c upper n (g). Upper h upper n subscript 3 (g) plus upper c upper h subscript 4 (g) right arrow 3 upper h subscript 2 (g) plus upper h upper c upper n (g).
It looks like you have provided three different chemical reactions in your question.
The first reaction can be written as:
2H3(g) + C4H4(g) -> 3H2(g) + HCN(g)
The second reaction can be written as:
H3(g) + C4H4(g) -> 6H2(g) + HCN(g)
The third reaction can be written as:
H3(g) + C4H4(g) -> 3H2(g) + HCN(g)
In all of these reactions, hydrogen gas (H2) and hydrogen cyanide (HCN) are produced. The reactants and the specific conditions of the reaction determine the exact proportions of the products formed. It is not clear what the reactants H3 and C4H4 represent or what the conditions of the reaction are, so it is difficult to say anything more about these reactions without more information.
The reaction equation is what?A balanced chemical reaction equation reveals the reactants' and products' molecular relationships. Chemical reaction equations disclose the reactants' and products' molecular relationships. Frequently, the reaction's energy level is stated. It is known as reaction stoichiometry to deal with the quantitative side of chemical processes.
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Answer:
It is the third one for edge
Step-by-step explanation:
I tried and got it correct
A sales associate in a jewelry store earns $450 each week, plus a commission equal to 2% of her sales. this week her goal is to earn at least $800. how much must the associate sell in order to reach her goal
In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.
To solve this problemWe must figure out how many sales are necessary to get that income.
Let's write "S" to represent the sales amount.
The associate's base pay is $450 per week, and she receives a commission of 2% of her sales. Her commission is therefore equal to 0.02S (2% of sales), which can be computed.
The total income must be at least $800 in order for her to fulfill her goal. As a result, we may construct the equation shown below:
Base Salary + Commission ≥ Goal
$450 + 0.02S ≥ $800
Now, we can solve the inequality to find the minimum sales amount:
0.02S ≥ $800 - $450
0.02S ≥ $350
Divide both sides by 0.02 to isolate 'S':
S ≥ $350 / 0.02
S ≥ $17,500
Therefore, In order for the associate to meet her objective of making at least $800, she must sell at least $17,500 worth of jewelry.
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Eli wanted to order candy online. Company A is offering 2 1/2 pounds of chocolate for $32.00. How much is Company A charging per pound of chocolate?
Step-by-step explanation:
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