Convert 2π radians into degrees.
Answer:
360
Step-by-step explanation:
Every 1/2pi is 90 degrees.
Going down the list...
1/2pi is 90
pi is 180
3/2pi is 270
2pi is 360
Supóngase que el 2% de la población en promedio son zurdos. La probabilidad que en 100 personas haya 3 o más zurdos es
The probability of 3 or more deaf people in a sample of 100 is given as follows:
0.3633 = 36.33%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of the parameters for this problem are given as follows:
p = 0.02, n = 100.
The probability of 3 or more deaf people are given as follows:
P(X >= 3) = 1 - P(X < 3).
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Hence:
P(X = 0) = 0.98^100 = 0.1326.P(X = 1) = 100 x 0.02 x 0.98^99 = 0.2707.P(X = 2) = 99 x 50 x 0.02² x 0.98^98 = 0.2334.Thus:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
P(X < 3) = 0.1326 + 0.2707 + 0.2334
P(X < 3) = 0.6367.
P(X >= 3) = 1 - P(X < 3).
P(X >= 3) = 1 - 0.6367.
P(X >= 3) = 0.3633.
TranslationWe suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.
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What is the unit rate of 48 newspapers in 6 piles?
________ newspapers per pile
PLEASE HELPPPPPP ME GIVING 30 POINTS TO ANSWER ALL
Answer:
we can't barely see the screen its blurry. can you retake the photo please
find the slope and y-intercept.
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
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Can u pleaseee answer all parts pleaseeeee <3333
please help meee
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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A study was commissioned to find the mean weight of the residents in certain town.
The study found the mean weight to be 187 pounds with a margin of error of 3
pounds. Which of the following is not a reasonable value for the true mean weight of
the residents of the town?
The value that is not reasonable for the true mean weight of the residents of the town is 193 pounds
Given that the mean weight is 187 pounds with a margin of error of 3 pounds, we can construct the interval as follows:
Mean weight - Margin of error = 187 - 3 = 184 pounds
Mean weight + Margin of error = 187 + 3 = 190 pounds
So, the reasonable range for the true mean weight of the residents of the town is between 184 and 190 pounds.
Now, let's evaluate the options to identify the value that falls outside this reasonable range:
A. 170 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.
B. 188 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.
C. 193 pounds - This value falls above the upper limit of the reasonable range (190 pounds). Therefore, it is not a reasonable value for the true mean weight.
D. 186 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.
E. 182 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.
From the options provided, the value that is not reasonable for the true mean weight of the residents of the town is 193 pounds.
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Of the 950 students enrolled in a soccer league, 42% are in middle school. How many students in the soccer league are in middle school?
68
399
509
908
A pipe has a diameter of 2.5 inches. Insulation that is 0.5 inch thick is placed around the pipe. What is the diameter of the pipe with the insulation around it?
Answer:
So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.
Step-by-step explanation:
To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:
C = 2 * π * r
Where:
· C = circumference of the pipe
· π = the mathematical constant approximately equal to 3.14
· r = the radius of the pipe
Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:
r = 2.5 inches + 0.5 inch = 3 inches
Plugging in the values:
C = 2 * π * 3
C = 6.28 * 3
C = 18.84 inches
Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.
Solve the equation 4(c-3) = 8
What are the two ways to start solving this equation? Choose BOTH ways.
1. Use the distributive property to get 4c- 12 = 8
2. Use the distributive property to get 4c - 3 = 8
3. Add 3 to both sides to get 4c = 11
4. Divide both sides by 4 to get c - 3 = 2
5. Subtract 4 from both sides to get c - 3 = 4
Answer:
Use the distributive property to get 4c-12=8
Divide both sides by 4 to get c-3=2
Step-by-step explanation:
39 is what percent of 52?
Answer:
1.3 percent
Step-by-step explanation:
A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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Sam saved $40 each month for 3 years. Then, he spent 65% of his savings on a cruise. How much of his savings was left? A. $420 B. $588 C. $1,092 D. $1,260
Answer:
$588 was left
Step-by-step explanation:
Since it was $40 for 3.5 years, and there are 12 months in a year, we do: (3*12+6)*40=168065%= 13/2013/20 * 1680Sam paid $10921680 - 1092 = 588Pass journal entries using the perpetual system of inventory-
Purchased 1000 units of shoes from Indiana International at $300 each on account
Sold 200 units to Ceridian Corporation at $500 each on account
Sold 500 units to Semed Inc. at 550 each on cash
Paid cash in full to Indiana International
Purchased 800 units of shoes from CITS at $450 each on cash
Sold 100 units to Deeman Corp at $600 each on cash
The passage of journal entries to record the transactions, using the perpetual system of inventory with the First-in, First-out (FIFO) method, is as follows:
Journal Entries:Account Titles Debit Credit
Inventory $300,000
Accounts Payable (Indiana International) $300,000
To record the purchase of 1000 units of shoes at $300 each.Accounts Receivable
(Ceridian Corporation) $100,000
Sales Revenue $100,000
To record the sale of 200 units at $500 each on account.Cost of goods sold $60,000
Inventory $60,000
To record the cost of 200 units sold.Cash $275,000
Sales Revenue $275,000
To record the sale of 500 units at $550 each.Cost of goods sold $150,000
Inventory $150,000
To record the cost of 500 units sold.Accounts Payable
(Indiana International) $300,000
Cash $300,000
To record the cash payment on account.Inventory $360,000
Cash $360,000
To record the purchase of 800 units at $450 each.Cash $60,000
Sales Revenue $60,000
To record the sale of 100 units at $600 each.Cost of goods sold $30,000
Inventory $30,000
To record the cost of 100 units sold.Transaction Analysis:Inventory $300,000 Accounts Payable (Indiana International) $300,000
Accounts Receivable (Ceridian Corporation) $100,000 Sales Revenue $100,000
Cost of goods sold $60,000 Inventory $60,000
Cash $275,000 Sales Revenue $275,000
Cost of goods sold $150,000 Inventory $150,000
Accounts Payable (Indiana International) $300,000 Cash $300,000
Inventory $360,000 Cash $360,000
Cash $60,000 Sales Revenue $60,000
Cost of goods sold $30,000 Inventory $30,000
Thus, with the perpetual system using FIFO, inventory movements are recorded in the Inventory account as they occur and not at the period's end.
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Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.
Answer:
option b : 90 sq. cm
Step-by-step explanation:
1) Area of circle with radius = 12cm
Area = π r^2
= 3.14 * (12) (12)
= 3.14 * 144
= approx 452.4
2) Circumference of circle with radius = 12cm
Circumference = 2πr
= 2 * 3.14 * 12
= approx 75 .4
3) Arc length = 15cm ......(given)
\( \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} \)
\( \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} \)
\(area \: of \: sector \: = \frac{15 \times 452.4}{75.4} \)
\( = \frac{6786}{75.4} \)
\( = 90 {cm}^{2} \)
Solve. Write the solution in interval notation.
The solution in interval notation is; (-∞, 49/2).
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:
5/16x - 7/4 < 3/4x + 21/2
Combining like terms:
5/16x -3/4x < 21/2 + 7/4
8/16x < 49/4
1/2x < 49/4
Simplifying the fraction;
x < 49/2
Therefore, the solution in interval notation is (-∞, 49/2).
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is the table linear or not
Answer:
No, the table is not linear.
Step-by-step explanation:
Between the x and y there has to be a constant rate. There is no constant rate.
What other fact is needed to prove the two triangles are congruent using AAS?
We have two triangles ΔABC and ΔDEF. Since we don't have an image of the triangles we can make a diagram to represent them:
We are told by the problem that angle ∠D is approximately equal to angle ∠A. In the image, we represent in yellow these two equal angles:
It is also given by the problem that the segment AB is approximately equal to the line segment DE. These two equal sides are also represented in the image in color blue:
Also, segment BC is equal to the segment EF, shown in red in the following image:
Since we are asked for the triangles to be congruent using AAS (AAS is Angle Angle Side):
two angles and one side of each triangle have to be equal.
And so far, we have that one angle is equal and two sides are equal. So we just need that another of the angles of the triangles be equal, and we will meet the condition of two angles and one side (even if we have two equal sides, we need another angle to be equal to meet the AAS condition).
So we either can have ∠C equal to ∠F or
∠B equal to ∠E.
Either of those two options will give us the second equal angle that we need for the triangles to be congruent using AAS (angle angle side).
Thus, the answer is:
\(\text{either }\angle C\cong\angle F\text{ or }\angle B\cong\angle E\)Omg!? Is 96 correct??
Solve the following system. If the system's equations are dependent or if there is no solution, state this.- 4x + 9y + 3z = 4X+ 5y + 6z = 45x - 4y + 3z = 0Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- 4x + 9y + 3z = 4 (a)
X+ 5y + 6z = 4 (b)
5x - 4y + 3z = 0 (c)
Multiply (b) by 5, then subtract (c) from (b)
5x + 25y + 30z = 20
-
5x -4y +3z = 0
_______________
29y + 27z = 20 (d)
Multiply (b) by 4, then add (a) and (b)
-4x + 9y + 3x = 4
+
4x + 20y + 24z = 16
_______________
29y +27y = 20 (e)
Now we have a system of 2 equations (d) and (e)
29y + 27z = 20 (d)
29y +27y = 20 (e)
Since both equations are the same, there are infinite solutions.
the system is dependent
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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apprmixate the value of 1+1
The value of 1+1 is 2.
Describe addition?Addition is a fundamental operation in mathematics that involves combining two or more numbers or quantities to find a total or sum. The process of addition involves adding together individual digits, numbers, or quantities to find their sum or total.
In the simplest form of addition, two numbers are added together to find their sum. For example, 2 + 3 = 5, where 2 and 3 are the addends, and 5 is the sum. The order in which the addends are added does not affect the sum, so 3 + 2 = 5 as well.
Addition can be extended to more than two numbers by adding each pair of numbers in turn. For example, to find the sum of 2, 3, and 4, we can add 2 + 3 first, which equals 5, and then add 5 + 4 to get the final sum of 9.
Addition can be represented visually using symbols such as the plus sign (+) and the equals sign (=). The plus sign is used to indicate that two numbers are being added together, while the equals sign indicates that the sum has been found.
Addition is used in many different applications, from simple arithmetic to complex mathematical models. It is a fundamental skill that is taught early on in mathematics education and is essential for understanding more advanced concepts in algebra, calculus, and other branches of mathematics.
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Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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Write 0.0065 in standard form.
Answer:
It is just 65.
Step-by-step explanation:
if ²/6 means 2 ÷ n what is the value of n
Answer:
answer= 6
Step-by-step explanation:
if ²/6 means 2 ÷ n
n= 6
The residual plot shows the residuals for the day of the month and the amount in Kali’s checking account. Which statement best assesses the linearity of the relationship between the day of the month and account balance if the scatterplot appears to be reasonably linear?
A) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
B) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
C) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
D) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.
When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).
If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.
Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.
Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.
In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
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Answer:
person above
Step-by-step explanation:
the obvious
3) Last year the mean salary for professors in a particular community college was $62,000 with a standard deviation of $2000. A new two year contract is negotiated. In the first year of the contract, each professor receives a $1500 raise.
Find the mean and standard deviation for the first year of the contract.
b) In the second year of the contract, each professor receives a 3% raise based on their salary during the first year of the contract. Find the mean and the standard deviation for the second year of the contract.
a) Mean for the first year of the contract: $63,500
The standard deviation for the first year of the contract: $2,000.
b) Mean for the second year of the contract: $65,405.
The standard deviation for the second year of the contract: $60.
We have,
To find the mean and standard deviation for the first year of the contract, we can use the given information and the properties of the normal distribution.
Given:
The mean salary for professors in the previous year = $62,000
Standard deviation in the previous year = $2,000
Raise in the first year = $1,500
Mean for the first year of the contract:
The mean salary for the first year can be obtained by adding the raise to the previous mean:
Mean = Previous Mean + Raise
Mean = $62,000 + $1,500
Mean = $63,500
The standard deviation for the first year of the contract:
Since each professor receives the same raise, the standard deviation remains the same:
Standard Deviation = $2,000
Therefore, for the first year of the contract, the mean salary is $63,500, and the standard deviation remains $2,000.
Now,
In the second year of the contract, each professor receives a 3% raise based on their salary during the first year of the contract.
To find the mean and standard deviation for the second year, we can use the given information and the properties of the normal distribution.
Mean for the second year of the contract:
To calculate the mean for the second year, we need to add a 3% raise to the mean salary of the first year:
Mean = Mean of the first year + (3% * Mean of the first year)
Mean = $63,500 + (0.03 * $63,500)
Mean = $63,500 + $1,905
Mean = $65,405
The standard deviation for the second year of the contract:
Since each professor receives a raise based on their salary from the first year, the standard deviation also increases. To calculate the standard deviation, we multiply the standard deviation from the first year by the percentage increase:
Standard Deviation = Standard Deviation of the first year * (Percentage Increase / 100)
Standard Deviation = $2,000 * (3 / 100)
Standard Deviation = $2,000 * 0.03
Standard Deviation = $60
Therefore, for the second year of the contract, the mean salary is $65,405, and the standard deviation is $60.
Thus,
a) Mean for the first year of the contract: $63,500
The standard deviation for the first year of the contract: $2,000.
b) Mean for the second year of the contract: $65,405.
The standard deviation for the second year of the contract: $60.
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Find the product of 5/3 with quotient of 2/11 and 4/11
Answer:
5/6
Step-by-step explanation:
quotient of 2/11 and 4/11 is 22/44 or 1/2
5/3 · 1/2 = 5/6
The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 8 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answer:
Step-by-step explanation:
\(A = lw \nl\frac{\dA}{\dt}\) =\(\frac{\dA}{\text{d}l}\frac{\text{d}l}{\dt} + \frac{\dA}{\text{d}w}\frac{\text{d}w}{\dt}\) =\(w\frac{\text{d}l}{\dt} + l\frac{\text{d}w}{\dt}\) \(\nll = 20 \text{ cm}\) \;\; \(\frac{\text{d}l}{\dt} = 8 \text{ cm/s}\) \;\;w = 10 \text{ cm}, \;\; \(]\frac{\text{d}w}{\dt} = 3 \text{ cm/s}\) \(\nl\frac{\dA}{\dt} =( 10 \text{ cm} )( 8 \text{ cm/s} ) + ( 20 \text{ cm} )( 3 \text{ cm/s} ) =140 \text{ cm}^2\!\text{/s} \)
Given :
The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 8 cm and the width is 5 cm .To find :-
how fast is the area of the rectangle increasing?Solution :-
As we know that :-
A = lbTo find the rate :-
d(A)/dt = d(lb)/dt .Differenciate :-
dA/dt = l (db/dt ) + b (dl/dt )Substitute :-
dA/dt = 8*8 + 5*4dA/dt = 64 + 20 cm²/s dA/dt = 84 cm²/sWhat is the range of the graph of the equation y= k/x?
Answer:
all real number except 0
Step-by-step explanation: