The statement that you DO NOT know is true is "Half of sales are below $450,000."To determine the statement that is NOT true, it is necessary to use the concept .
In this case, the sales for a firm are normally distributed with a mean of $450,000 and a standard deviation of $55,000.Using this information, we can calculate the probability of sales falling below or above a certain amount using a normal distribution table or calculator.
We can determine that the statement "Half of sales are below $450,000" is NOT true because we know that the normal distribution is not symmetrical around the mean and therefore we cannot assume that exactly half of sales fall below the mean. Instead, we can calculate the percentage of sales that fall below a certain amount using the normal distribution formula.
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Please help me out :/
numbers that do not form a fact family
The numbers that do not form a fact family are solved
Given data ,
A fact family consists of a set of related addition and subtraction facts that use the same numbers. For example, the numbers 3, 5, and 8 form a fact family because:
3 + 5 = 8
5 + 3 = 8
8 - 5 = 3
8 - 3 = 5
Numbers that do not form a fact family are any set of numbers that do not follow this pattern. For example, the numbers 2, 4, and 7 do not form a fact family because no combination of addition and subtraction using these numbers produces the other two numbers.
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Students were asked which night they plan
going to the school festival. The results of the survey
are shown in the table. If 18% of the students did not
go on Friday, and 15% of the students did not go on
Saturday, how many more students went on Friday
than on Saturday?
Pls help
Answer:3% went on Friday than on Saturday
Step-by-step explanation:
Cristian comió un 3/8 de pizza y Adriana comió 1/4 de la misma pizza. ¿Quién comió mas?
Round 4.872 to the nearest tenths
Your answer is below.
4.9
write an equation for the parabola with vertex at the origin and
focus (-11/2,0)
The equation of the parabola with vertex at the origin and focus (-11/2, 0) is:
(x + 11/4)^2 = (y^2)
To determine the equation of the parabola, we need to find the equation in the standard form: (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and (h + p, k) represents the focus.
Given that the vertex is at the origin (0, 0), we have h = 0 and k = 0. The equation can now be simplified to: x^2 = 4py.
We are also given the coordinates of the focus, which is (-11/2, 0). Comparing this to the standard form, we have h + p = -11/2 and k = 0.
Since h = 0, we can solve for p:
0 + p = -11/2
p = -11/2
Now substituting the value of p into the equation, we have:
x^2 = 4(-11/2)y
x^2 = -22y
To simplify the equation further, we can rewrite it as:
(x + 0)^2 = (-22/4)y
Finally, simplifying the equation, we get:
(x + 11/4)^2 = y
Therefore, the equation of the parabola with a vertex at the origin and focus (-11/2, 0) is (x + 11/4)^2 = y^2.
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Explain how point-slope form is related to the formula for slope.
The point slope form finds the equation of a straight line that passes through a given point and is inclined to the x-axis. Each point on a line must satisfy the line's equation. Two-variable linear equations symbolize lines. The point slope formula is utilized when we know the line's slope and a point. The next section explains the point slope form and how to calculate its formula.
The equation of a straight line that is inclined at a particular angle to the x-axis and passes at a given point may be found by using the point slope form. This form is used to get the equation of the line. An equation may be said to be the equation of a line if it can be shown to be fulfilled by every point along the line. This indicates that a line is represented by a linear equation that has two variables. Whereas the Point slope formula is only used in situations in which both the slope of the line and a point on the line are known. In the next part, let's get more in-depth knowledge about the point slope form as well as how to derive the formula that is used to express the point slope form.
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The Cartesian coordinates of a point are given. (a) (-6, 6) Find the following values for the polar coordinates (r, 0) of the given point. 2 tan (0) = (1) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2. (r, 0) = (ii) Find polar coordinates (r, 0) of the point, where r < 0 and 0 ≤ 0 < 2. (r, 0) =
To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:
r = √(x² + y²)
θ = arctan(y / x)
(a) For the given point (-6, 6):
x = -6
y = 6
First, let's find the value of r:
r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2
Next, let's find the value of θ:
θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)
Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).
(b) For r > 0 and 0 ≤ θ < 2:
In this case, the polar coordinates will remain the same: (6√2, -π/4).
(c) For r < 0 and 0 ≤ θ < 2:
Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.
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A city has 18 radio stations, including 4 college radio stations.
What is the probability that a randomly chosen radio station in this city is a college radio
station?
Write your answer as a fraction or whole number.
Answer:
2/9
Step-by-step explanation:
P=4/18=2/9
27 5/3 in simplest radical form
The value of 27 5/3 in simplest radical form will be 86 / 3.
How to illustrate the exponent?The fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Here the value of 27 5/3 in simplest radical form will be the calculated thus:
(27 × 3) + 5 / 3
= (81 + 5) / 3
= 86 / 3
The value in radical form will be 86 / 3.
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HELP!!What is the volume of the rectangular prism?
2 inches
8 inches
4 inches
A
14 cubic inches
B
112 cubic inches
164 cubic inches
64 cubic inches
Answer:
64 cubic inches
Step-by-step explanation:
The formula to find the volume of a rectangular prism is
Length x Width x Height
Therefore, 2 x 8 x 4 = 64.
Evaluate: 4(32-5)+17
Answer:
125
Step-by-step explanation:
Describe the process of how to find the volume of a prism but in your own words
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to make a description
Mathematically, a prism is a solid shape with parallel bases, separated by a particular height
To find the volume of the prism, all we have to do is to find the area of one of the bases
After this, we then multiply the value obtained by the height of the prism. This gives the volume of the prism
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to make a description
Mathematically, a prism is a solid shape with parallel bases, separated by a particular height
To find the volume of the prism, all we have to do is to find the area of one of the bases
After this, we then multiply the value obtained by the height of the prism. This gives the volume of the prism
Simplify (4m^4-m^2)+(5m^2+m^4). Please show steps
Answer:
Step-by-step explanation:
To simplify the expression (4m^4-m^2)+(5m^2+m^4), we can combine like terms.
Step 1:
First we will combine the m^4 terms:
4m^4 + m^4 = 5m^4
Step 2:
Next we will combine the m^2 terms:
5m^4 - m^2 + 5m^2 = 5m^4 + 5m^2 - m^2
Step 3:
Finally we have simplified the expression
5m^4 + 5m^2 - m^2 = 5m^4 + 5m^2 - m^2
So the simplified form of the expression is 5m^4 + 5m^2 - m^2
if a restaurateur wants to know how many dollars the restaurant makes per day, which process metric is needed?
To determine how many dollars a restaurant makes per day, the restaurateur would need to measure the "revenue" metric.
Revenue is the total amount of money a business earns from its sales or services provided over a specific period of time, in this case, daily. It includes all income generated by the restaurant from selling food and drinks to customers.
Measuring revenue is essential for any business as it helps the owner understand the financial health of their enterprise. By tracking revenue over time, the restaurateur can identify patterns and trends and make informed decisions to increase profits and improve the business's overall performance.
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Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
If a transversal intersects two parallel lines then find the ratio of the number of pairs of alternate angles to the number of pairs of corresponding angles so formed
Estimate, to the nearest degree, the size of each radian measure in degrees.
a) 2.5
b) 5.2
c) 6.8
B. Just saying, this is an estimate, yet it seems more logical.
PLEAS HELP ASAP 50 POINTS IF RIGHT: A landscaper is creating a bench for a pool deck. A model of the bench is shown in the image.
A rectangular prism with dimensions of 7 feet by 3 feet by 4.8 feet.
Part A: Find the total surface area of the bench. Show all work. (6 points)
Part B: The landscaper will cover the bench in ceramic tiles except for the bottom that is on the ground. If the tiles cost $0.89 per square foot, how much will it cost to cover the bench? Show all work. (6 points)
Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.
Given dimensions:
Length = 7 feet
Width = 3 feet
Height = 4.8 feet
Surface Area of each face:
Front and back faces: Length * Height
= 7 feet * 4.8 feet
= 33.6 square feet
Top and bottom faces: Width * Length
= 3 feet * 7 feet
= 21 square feet
Side faces: Width * Height
= 3 feet * 4.8 feet
= 14.4 square feet
Total Surface Area:
2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)
= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet
= 67.2 square feet + 42 square feet + 28.8 square feet
= 137 square feet
Therefore, the total surface area of the bench is 137 square feet.
Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.
Cost per square foot = $0.89
Total Surface Area = 137 square feet
Total cost to cover the bench:
= Cost per square foot * Total Surface Area
= $0.89 * 137 square feet
= $121.93
Therefore, it will cost $121.93 to cover the bench with ceramic tiles.
If f(x)=−3x2−5x+1 , what is f(3)?
Answer:
-41
Step-by-step explanation:
you put 3 in place of x. So where x is you put 3. Then simplify. Let me know if you need further explanation
The Hudson family went out to dinner. The meal cost $49.50.
If they also left a 15% tip, approximately how much did the entire dinner cost?
O $7.43
$49.50
O $56.93
O $61.24
Answer:
The tip is $7.43
The total answer $56.93
Step-by-step explanation:
Hope this helps!
Answer:
c 56.93
Step-by-step explanation:
49.5 × 1.15= 56.93
Please help me
Write 3 3/4 feet as a single fraction greater than one.
Answer: 9/4
Step-by-step explanation:
Answer:
15/4 feet
Step-by-step explanation:
When given a mixed number like \(3\frac{3}{4}\), you multiply the denominator by the whole number and add the numerator.
In this case, multiply 3 x 4 and then add 3. After finding that value, put it over the original denominator, giving 15/4
Please help! Its from HMH
The value of the unknown measurement in the rectangular prism would be = 6.2cm
How to calculate the value of the unknown measurement?The formula that can be used to calculate the value of the unknown measurement in the rectangular prism is the use of Pythagorean formula = c²= a²+b²
Where,
a= 40
b = 54
C= X cm
c²= 40²+54²
c²= 1,600+ 2916
c² = 4516
C = √4516
C= 62.2cm
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what is the explicit formula for this sequence? -7,-3,1,5,…
Answer:
\(a_n=4n-11\)
Step-by-step explanation:
The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:
\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
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Two vectors are linearly dependent if and only if they lie on a line through the origin.
a. true b. false
Choose the best answer.
A
B
C
D
Answer:
D :)
Step-by-step explanation:
some alkenes have geometric cis trans isomers because
Some alkenes have geometric cis-trans isomers because of the presence of a double bond between two carbon atoms. In a carbon-carbon double bond, the carbon atoms are connected to two different groups of atoms, which can be oriented differently in space. In the cis configuration, the two substituent groups on each carbon atom are on the same side of the double bond, while in the trans configuration, the two substituent groups on each carbon atom are on opposite sides of the double bond.
The cis-trans isomerism arises due to the restricted rotation around the carbon-carbon double bond. In the case of cis isomers, the substituent groups are too bulky to rotate around the double bond, and they remain on the same side of the double bond. In contrast, in the trans isomers, the substituent groups are oriented on opposite sides of the double bond, which allows them to rotate freely around the bond.
The presence of cis-trans isomers has important consequences for the physical and chemical properties of alkenes, including their reactivity, solubility, and melting points. The two isomers can have different properties and can exhibit different biological activities, making them important targets for drug design and synthesis.
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The 100-meter dash times in the girls track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds. What is the probability that a runner finished between 12.4 and 14 seconds?
Answer:
The probability is 0.97682
Step-by-step explanation:
We start by finding the z-values of the runner times given.
Mathematically;
z-score = (x-mean)/SD
From the question, mean = 13 seconds and SD = 0.3 seconds
So for 12.4 seconds, we have;
z = (12.4-13)/0.3 = -0.6/0.3 = -2
For 14 seconds, we have;
z = (14-13)/0.3= 1/0.3 = 3.33
So the probability we want to calculate is;
P(-2<z<3.33)
We can find this using the standard normal distribution table
Mathematically;
P(-2<z<3.33) = P(z<3.33) - P(z < -2)
Using the standard normal distribution table, the value of this is;
P(-2<z<3.33) = 0.97682
A small hotel in central London has 8 rooms. Based on data collected over the last five years, it was estimated that the probability a room is occupied on any particular "weekend" night (Saturday and Sunday) is 0.75. This is the probability of success. On any particular "weekend" night, a hotel is only occupied (Success) or not occupied (Failure). There are no other possibilities. Required: What is the probability that at least 4 of the 7 hotel rooms are occupied on any weekend night? Note: Show all your calculations in well laid-out Excel spreadsheet tables with clear headings and include formulas. Give your answers correct to 3 decimal places.
Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.
To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.
For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339
For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:
P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923
Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.
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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.
To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.
To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339
For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:
P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.
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