The company's expected profit for the given annual premium and given conditions is equal to $260.
To calculate the company's expected profit,
Consider the premium received and the potential payout for stolen collections based on the probability of theft.
The annual premium received by the company is $300.
The potential payout for stolen collections would be the value of the collection,
which is $20,000, multiplied by the probability of theft, which is 0.002.
Potential payout
= $20,000 × 0.002
= $40
The expected profit can be calculated by subtracting the potential payout from the premium received,
Expected profit
= Premium received - Potential payout
= $300 - $40
= $260
Therefore, the company's expected profit is $260.
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What goes up and down without moving?
Whoever answers first gets brainliest.
Answer: temperature and weight
Step-by-step explanation: Temperature can increase or decrease/can go up and down without moving. The same goes with weight, it can go up or down without moving.
Evaluate the expression when when c = 3 and d = 33
Answer:
45
Step-by-step explanation:
Which of the following describes the expression? 5(y + 6)
Answer:
D. The product of a constant factor 5 and a 2-term factor x+2
Step-by-step explanation:
Hope that helps
Answer:
5y + 30
Step-by-step explanation:
5(y+6)
5y + 30
Ming's recipe for sweet tea calls 4 teaspoon of sugar. If Ming wants to make the tea 25% less sweet, how much less sugar should he use??
Four families are travelling. Order their speeds from least to greatest.
Sapons
80 km in 2 h
Silvers
180 km in 3 h
Johns
50 km in 1 h
Cunninghams
35 km in 30 min
(please help)
Step-by-step explanation:
We're going to convert all of these to km/h.
Sapons: 80km/2h => 40kmh
Silvers: 180km/3h => 60kmh
Johns: 50kmh
Cunninghams: (to get the 30 mins to 60 mins, multiply the top and the bottom by 2) 35km/30min => 70kmh
Now that they're all in the same form we can put them from least to greatest.
Answer:
(Least) - Sapons
- Johns
-Silvers
(Greatest) - Cunninghams
Form a formula based on the following situation
a) The sum of x and 2y is 14
Answer:
x + 2y = 14
Step-by-step explanation:
That’s the answer
What value of c makes the equation true? Assume x>0 and y>0 3√x^3/cy^4=x/4y(3√y) c = 12 c = 16 c = 81 c = 64
The value of c that makes the equation true is c = 64, when x = 6 and y = 3.
To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.
First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:
x√x/cy^4 = x/4y(y√y)
Next, we can simplify x/4y to 1/(4√y), giving us:
x√x/cy^4 = 1/(4√y)(y√y)
We can cancel out the common factor of √y on both sides:
x√x/cy^4 = 1/(4)
Multiplying both sides by 4cy^4 gives us:
4x√x = cy^4
Now we can solve for c by isolating it on one side of the equation:
c = 4x√x/y^4
We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:
c = 4x√x/y^4 = 4(x^(3/2))/y^4
c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3
c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3
c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3
c = 4(216)/81 = 64 for x = 6 and y = 3
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Help ASAP!!!!!!! It’s to confusing
Answer:
every one equals 32
Step-by-step explanation:
Every hour equals 32 tickets sold
Answer:
32
Step-by-step explanation:
all equal 32
(15. 30) It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with mean 366 minutes and standard deviation 66 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with mean 524 minutes and standard deviation 104 minutes. A researcher records the minutes of activity for an SRS of 5 mildly obese people and an SRS of 5 lean people.
Use z-scores rounded to two decimal places to answer the following:
What is the probability (±0. 0001) that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes?
What is the probability (±0. 0001) that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes?
The probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes is approximately 0.0240.
To solve this problem, we will use the Central Limit Theorem and standardize the distribution using z-scores.
For the mildly obese group:
Mean (μ) = 366 minutes
Standard deviation (σ) = 66 minutes
Sample size (n) = 5
To find the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes, we need to calculate the z-score and then find the corresponding probability using the standard normal distribution.
z-score = (x - μ) / (σ / sqrt(n))
= (420 - 366) / (66 / sqrt(5))
≈ 1.32
Using a standard normal distribution table or calculator, we can find the probability associated with a z-score of 1.32, which is approximately 0.9088.
Therefore, the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes is approximately 0.9088.
Now let's perform the same calculation for the lean group:
Mean (μ) = 524 minutes
Standard deviation (σ) = 104 minutes
Sample size (n) = 5
z-score = (x - μ) / (σ / sqrt(n))
= (420 - 524) / (104 / sqrt(5))
≈ -1.98
Using a standard normal distribution table or calculator, we can find the probability associated with a z-score of -1.98, which is approximately 0.0240.
Therefore, the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes is approximately 0.0240.
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-2 - Complete the identities Find values that make the equations below identities. - 6(x-4) + 2(x+5) = ax + b − 3(x + c) − 4(x + d) Complete these identities. 3x - 24 = +X = X 5(x + 5) = = (x a) (x b) = (a + b) + c = c + ( |(x - - 7x - 15 X + x² - ( 1) x + ab [2] [1] [2] [1] [4] a = C = b = d = [2] [2]
1. Complete the identities
a = -4
b = 34
c = 1
d = 3
2. Complete the identities
3x - 24 = 3(x - 8)
0 + x = x
5(x + 5) = 5x + 25
(a + b) + c = c + (a + b)
(x - a)(x - b) = x² - (a + b)x + ab
Before solving the above equation, we need to know the algebraic formula. The algebraic formula is
a(x + b) = ax + ab
1.
- 6(x - 4) + 2(x + 5) = ax + b
⇒ -6x + 24 + 2x + 10 = ax + b
-6x + 2x + 24 + 10 = ax + b
-4x + 34 = ax + b
So we get the values a and b.
-4x = ax ⇔ a = -4
b = 34
− 3(x + c) − 4(x + d) = - 7x - 15
-3x - 3c - 4x - 4d = -7x - 15
-3x - 4x - 3c - 4d = -7x - 15
-7x - (3c + 4d) = -7x - 15
-7x + 7x - (3c + 4d) = - 15
- (3c + 4d) = - 15
3c + 4d = 15
Let c = 1
3c + 4d = 15
3(1) + 4d = 15
3 + 4d = 15
4d = 15 - 3
4d = 12
d = 3
2.
3x - 24
= 3 × x - 3 × 8
= 3(x - 8)
.... + x = x
-x + x = 0
5(x + 5) = 5 × x + 5 × 5
= 5x + 25
(a + b) + c = c + (a + b)
Let (x + a)(x + b)
(x + a)(x + b) = x² + ax + bx + ab
= x² + (a + b)x + ab (not eligible)
Let (x + a)(x - b)
(x + a)(x - b) = x² + ax - bx - ab
= x² + (a - b)x - ab (not eligible)
Let (x - a)(x + b)
(x - a)(x + b) = x² - ax + bx - ab
= x² - (a - b)x - ab (not eligible)
Let (x - a)(x - b)
(x - a)(x - b) = x² - ax - bx + ab
= x² - (a + b)x + ab (eligible)
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According to the U. S. Bureau of labor Statistics there were 100,600 chefs/head cooks employed in the United States in 2010 and 320,800 full service managers. Those numbers were projected to decrease to 98,100 and 318,000 by 2020. Which job was facing the largest percentage decrease? By how much? Round your answer to two decimal places, if necessary.
Given:
In year 2010
Number of chefs/head cooks = 100600
Number of full service manager = 320800
In year 2020
Number of chefs/head cooks = 98100
Number of full service manager = 318000
Required:
Which job is facing the largest percentage decrease
Explanation:
The percentage decrease in number of chefs is given by
\(Percentage=\frac{number\text{ }of\text{ }chefs\text{ }in\text{ }2010-number\text{ }of\text{ }chefs\text{ }in\text{ }2020}{number\text{ }of\text{ }chefs\text{ }in\text{ }2010}\times100\)Substituting the values we get
\(\begin{gathered} Percentage\text{ }decrease\text{ }in\text{ }chefs=\frac{100600-98100}{100600}\times100 \\ \\ =\frac{2500}{100600}\times100 \\ \\ =0.0248\times100 \\ =2.48\% \end{gathered}\)The percentage decrease in number of service manager is given by
\(\begin{gathered} Percentage \\ =\frac{number\text{ }of\text{ }service\text{ }manager\text{ }in\text{ }2010-number\text{ }of\text{ }service\text{ }manager\text{ }in\text{ }2020}{number\text{ }of\text{ }service\text{ }manager\text{ }in\text{ }2010}\times100 \end{gathered}\)Substituting the values we get
\(\begin{gathered} Percentage\text{ }decrease\text{ }in\text{ }service\text{ }manager=\frac{320800-318000}{320800}\times100 \\ \\ =\frac{2800}{320800}\times100 \\ \\ =0.0087\times100 \\ =0.87\% \end{gathered}\)Final answer:
The chef's job is facing the largest percentage decrease by 2.48%
72 = 4s
S=
What does s =?
Answer:
72 = -4s
72 / (-4) = (-4s) / (-4)
-18 = s
HELP PLEASE DID I WRITE THESE CORRECTLY??
Answer:
Yes you did
Step-by-step explanation:
What is the solution of the inequality shown
below?
y+7≤-1
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.
Starting with the given inequality:
y + 7 ≤ -1
We can begin by subtracting 7 from both sides of the inequality:
y + 7 - 7 ≤ -1 - 7
y ≤ -8
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.
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The following question may be like this:
What is a solution of the inequality shown below? y+7≤-1
Letz=W^Tx+b=(1 2 3 4 5) be the feature of data x after a linear mapping, and assume x is in class 5 out of (1, 2, 3, 4, 5) classes. What is the derivative of the cross entropy of x with respect to z_0 (z indexes beginning from 0) (Round to 2 decimal accuracy)?
The derivative of the cross-entropy with respect to z_0 is approximately -1.00.
Cross-entropy is the loss function, which is widely used in classification problems. The derivative of the cross-entropy of x with respect to z0 can be calculated as follows:
Given, Let z=W.T x+b=(1 2 3 4 5) be the feature of data x after a linear mapping, and assume x is in class 5 out of (1, 2, 3, 4, 5) classes.
We know that Cross-entropy = -Σi yi log(zi) Here, we have z = (z0, z1, z2, z3, z4), where zi = e^(zi)/( Σ j e^(zj)).Thus, for the class of x, the cross-entropy of x is given by yj = 1 and, for other classes i, yi = 0.
Now, the derivative of the cross-entropy of x with respect to z0 is given by:∂(Cross-Entropy)/∂z0= d/dz0 (-y5 log(z5) - y0 log(z0))= -d/dz0(log(z0))= -1/z0
Now, substituting the given values of z = (1, 2, 3, 4, 5), we get:
∂(Cross-Entropy)/∂z0= -1/1= -1
Therefore, the derivative of the cross-entropy of x with respect to z0 is -1.
Thus, this is the required answer and it is rounded to 2 decimal places as -1.00.
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what proportion of persons are 38 years old or older? round to 2 decimal places.
The proportion of persons who are 38 years old or older is 0.25.
Proportion is defined as when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal. It is a mathematical comparison between two numbers.
Proportion = (number of persons 38 years old or older) / (total number of persons)
For example, if there are 100 persons and 25 of them are 38 years old or older, the proportion would be:
Proportion = 25 / 100 = 0.25
To round to 2 decimal places, we would round 0.25 to 0.25.
So the proportion of persons who are 38 years old or older is 0.25, or 25%.
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Estimate to the nearest whole number the area of a room that is 10.7 ft
wide and 15.3 ft long.
Answer:
The area of the room is approximately:
10.7 ft x 15.3 ft = 163.71 ft²
Rounded to the nearest whole number, the estimated area of the room is 164 ft².
Answer:
\(\huge\boxed{\sf 164\ ft\²}\)
Step-by-step explanation:
Given:Width = 10.7 ft
Length = 15.3 fr
We'll have to find the area of the rectangular room.
Area of rectangle = length × width
Area of room:= 15.3 × 10.7
= 163.71
≈ 164 ft²\(\rule[225]{225}{2}\)
Which Is The Simplified Rational Expression?
Answer:
1st choice
Step-by-step explanation:
(r² -4r + 5 - r² -2r + 8) / (r - 4)
= (-6r + 13) / (r - 4)
at the maryland department of motor vehicles, the time between checking in and being called to a service window is exponentially distributed with expectation of 10 minutes. (a) if you check in, what is the probability that you have to wait between 10 and 15 minutes? (b) what is the median value (50th percentile) of the waiting time?
The probability of waiting between 10 and 15 minutes at the Maryland Department of Motor Vehicles (DMV), given an exponential distribution with an expectation of 10 minutes.
The median waiting time, which represents the 50th percentile of the waiting time distribution, can be found by solving the equation involving the CDF of the exponential distribution. In this case, the median waiting time is approximately 6.9315 minutes.
The exponential distribution is often used to model the time between events that occur at a constant rate independently of past occurrences.
The parameter of the exponential distribution is the expectation or mean, which is given as 10 minutes in this case.
The probability of waiting between 10 and 15 minutes can be calculated by subtracting the probability of waiting less than 10 minutes from the probability of waiting less than 15 minutes.
This can be done using the CDF of the exponential distribution. Plugging in the appropriate values, the probability is approximately 0.0916, or 9.16%.
The median waiting time represents the time at which 50% of the waiting times are less than or equal to the median. In the exponential distribution.
The median can be calculated by solving the equation 1 - e^(-λt) = 0.5, where λ is the rate parameter of the distribution and t is the median waiting time.
In this case, the rate parameter is 1/10, as the expectation is 10 minutes. Solving the equation gives us t ≈ 6.9315 minutes, which is the median waiting time at the Maryland DMV.
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A textbook store sold a combined total of 452 sociology and biology textbooks in a week. The number of sociology textbooks sold was three times the number of biology textbooks sold. How many textbooks of each type were sold?
The Number of biology books is 113 and the number of sociology books is 339 books.
How to calculate the value?Based on the information given, let the number of biology books = b
The number of sociology = 3 × b = 3b
Therefore, the equation will be illustrated as:
b + 3b = 452
4b = 452
Divide
b = 452/4
b = 113
Number of biology books = 113
Number of sociology books = 3 × b
= 3 × 113
= 339 books
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Evaluate the expression when m = 4 and n = 6.
(3m−n)^2+4m
Answer:
yor answer is 52
Step-by-step explanation:
are these triangles similar or not similar
Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 6 3y , x = 0, y = 3; about the y-axis
According to the question The volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).
To find the volume of the solid obtained by rotating the region bounded by the curves \(x = 6 - 3y$, $x = 0$, and $y = 3$\) about the \($y$\)-axis, we can use the method of cylindrical shells.
The height of each cylindrical shell is the difference between the two curves, which is given by \($(6 - 3y) - 0 = 6 - 3y$\)
The radius of each cylindrical shell is the distance from the \($y$\)-axis, which is simply \($y$\).
The differential volume of each cylindrical shell is then given by \(dV = 2\pi y(6 - 3y) \, dy$.\)
To find the total volume, we integrate the differential volume from \(y = 0$ to $y = 3$:\)
\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)
To solve the integral, let's integrate the expression step by step:
\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)
Expanding the expression, we have:
\($V = \int_{0}^{3} 12\pi y - 6\pi y^2 \, dy$\)
Integrating term by term, we get:
\($V = \left[6\pi \left(\frac{1}{2}y^2\right) - 2\pi \left(\frac{1}{3}y^3\right)\right] \bigg|_{0}^{3}$\)
Simplifying further:
\($V = \left[3\pi y^2 - \frac{2}{3}\pi y^3\right] \bigg|_{0}^{3}$\)
Plugging in the limits of integration:
\($V = \left[3\pi \cdot 3^2 - \frac{2}{3}\pi \cdot 3^3\right] - \left[3\pi \cdot 0^2 - \frac{2}{3}\pi \cdot 0^3\right]$\)
Simplifying:
\($V = \left[27\pi - 27\pi\right] - \left[0 - 0\right]$\)
\($V = 0$\)
Therefore, the volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).
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will somebody please help
Answer:
x = 180-(37+53)
Step-by-step explanation:
x = 180-(37+53) is the answers because base on the figure it showing a supplementary angles and supplementary angles = 180 degree.
[RevyBreeze]
Which distribution shape (skewed left, skewed right, or symmetric) is most likely to result in the mean being substantially smaller than the median?
A skewed right distribution is most likely to result in the mean being substantially smaller than the median.
The mean and median are measures of central tendency used to describe the center of a distribution. In a skewed right distribution, the tail of the distribution extends towards the right, indicating a larger number of smaller values and a few extremely large values. This distribution shape is also known as positively skewed.
When a distribution is skewed right, the mean is typically pulled towards the larger values in the tail, making it larger than the median. However, there are scenarios where the mean can be substantially smaller than the median in a skewed right distribution.
This occurs when there are extremely large values in the tail that significantly affect the mean, but the bulk of the distribution remains concentrated on the smaller side. As a result, the mean can be pulled downward, making it smaller than the median.
On the other hand, in a symmetric distribution or a skewed left distribution (negatively skewed), where the tail extends towards the left with a larger number of larger values and a few extremely small values, it is less likely for the mean to be substantially smaller than the median. In these cases, the mean is typically closer to or larger than the median.
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Taylor currently earn $24. 00 an hour at her job. Thank to her hard work, her bo i going to give her a 15% raie. How much will he earn each hour after the raie?
Answer:
Taylor will earn $27.60 after the raise.
Step-by-step explanation:
If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.
Hopefully this helps, did the best I could!
Estimate the product of 2.28 × 5.59 using compatible numbers.
The quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
What are products?Quotients are result derived from the multiplication of two rational or integers. Given the expression
2.28 × 5.59
Convert to fraction
2.28 × 5.59 = 228/100 ÷ 559/100
2.28 × 5.59= 127452/10000
2.28 × 5.59= 12.75
Hence the quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
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Of the following, which are real variables and which are nominal? Sort into the appropriate bin.
A. Nominal Value
B. Real Variable
C.Bushels of Wheat
D. Price of a pen
E. Price of a computer
F. Numbers of bees per hectare used to pollinate farm crops
The real variables among the given options are: Bushels of Wheat and Numbers of bees per hectare used to pollinate farm crops. The nominal values are: Price of a pen and Price of a computer.
Real variables are measurable quantities that can take on any value within a given range. In this case, "Bushels of Wheat" and "Numbers of bees per hectare used to pollinate farm crops" are real variables. These variables can be measured and expressed as continuous quantities, such as the amount of wheat harvested or the number of bees present.
On the other hand, nominal values are categories or labels that cannot be measured on a numerical scale. They represent different groups or classes. The "Price of a pen" and "Price of a computer" are nominal values as they represent different price categories or labels for pens and computers, but they do not have a numerical measurement scale associated with them.
In summary, "Bushels of Wheat" and "Numbers of bees per hectare used to pollinate farm crops" are real variables, while "Price of a pen" and "Price of a computer" are nominal values.
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The local deli sells cheese wheels. Each cheese wheel is a cylinder. The height of the cheese wheel is 2.8 inches and the volume of the cheese wheel is 155.09088 cubic inches. What is the radius of the cheese wheel?
Answer:
4.2 inches when rounded
Step-by-step explanation:
volume = pi(r²)h
155.09088in³ = pi(r²)2.8
÷2.8 ÷2.8
55.3896 =pi(r²)
÷pi ÷pi
17.6310572718 = (r²)
Then you have to square root both sides (I tried to use the radical symbol but it didnt work, sorry :( )
After you square root it you should get
4.1989352545 = r
Answer:
4.2 inches(rounded)
Step-by-step explanation:
Hope im right :)
How do I do C?Someone please help asap.
You have to find the slope of the line. It will give you the conversion rate from inches to centimetres or the other way around.
Looking closely at the graph, or using a ruler as reference, you can estimate that 30 cm ≈ 12 in. In terms of the graph, the line very nearly passes through the point (12, 30). It also passes through the origin, (0, 0), since 0 cm = 0 in exactly.
The slope of the line is then
\(\dfrac{30\,\mathrm{cm}-0\,\mathrm{cm}}{12\,\mathrm{in}-0\,\mathrm{in}} = \dfrac{30\,\rm cm}{12\,\rm in} = \dfrac{5\,\rm cm}{2\,\rm in} = 2.5\dfrac{\rm cm}{\rm in}\)
which means that 1 in ≈ 2.5 cm.
So, if Sarah's height is 64 in, we convert this to cm and find her height is (approximately)
\(64\,\mathrm{in} \times 2.5\dfrac{\rm cm}{\rm in} = \boxed{160\,\rm cm}\)