Answer:
-43
Step-by-step explanation:
(-3)³ - 4² = -27 - 16 = -43
an edge of a square can be expressed as $4x-15$ meters or as $20-3x$ meters. what is its area in square meters?
The area in a square meter is 5$. We can equate the two expressions for the length of the edge of the square and solve for x:
$4x - 15 = 20 - 3x$
$7x = 35$
$x = 5$
The length of one edge of the square is 5 meters, so the area of the square is $5^2 = 25$ square meters. Therefore 5$ is the solution for the $4x-15$ and 20 - 3x$ equation. 15 and 3 will exchange their places to form 7$ and 35$ and 5$ is the end result of the problem that is given.
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Cameron has a bag of 50 gumdrops. There are 15 peach, 20 strawberry, 5 cherry, and 10 watermelon. Without looking, he picks a gumdrop, looks at it and puts it back, then chooses another without looking. What is the probability he will choose strawberry both times?
A data set has a mean of 55 and a standard deviation of 6. What percentile does the value 62 fall in? 12 4.17 88
0.88 ' +1.17
A data set has a mean of 55 and a standard deviation of 6. The value 62 falls in approximately the 12.19th percentile of the data set.
To determine the percentile that the value 62 falls in, we need to calculate its z-score and then use the z-table to find the corresponding percentile.
The z-score measures the number of standard deviations a value is from the mean. It is calculated using the formula:
z = (x - μ) / σ
Where:
z is the z-score
x is the value (62 in this case)
μ is the mean of the data set (55)
σ is the standard deviation of the data set (6)
Plugging in the values, we have:
z = (62 - 55) / 6
z = 7 / 6
z ≈ 1.1667
To find the percentile corresponding to this z-score, we can use the z-table. The z-table provides the area under the standard normal distribution curve for different z-scores.
Looking up the z-score of 1.1667 in the z-table, we find that the area to the left of this z-score is approximately 0.8781. This means that approximately 87.81% of the data falls below the value of 62.
To determine the percentile, we subtract this value from 1 (to account for the area to the right of the z-score):
Percentile = 1 - 0.8781
Percentile ≈ 0.1219
Therefore, the value 62 falls in approximately the 12.19th percentile of the data set.
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Complete Question:
A data set has a mean of 55 and a standard deviation of 6. What percentile does the value 62 fall in?
help me answer this please it’s due today
$5 for 1 shirt
y = cost
x = number be shirts
10y = 2x
5y = x
Is the point 4. 0 m directly in front of one of the speakers, perpendicular to the plane of the speakers, a point of maximum constructive interference, perfect destructive interference, or something in between?.
The point at coordinates (4, 0) meters, directly in front of one of the speakers and perpendicular to the plane of the speakers, will experience maximum constructive interference.
In the scenario of two speakers, when a point is located directly in front of one of the speakers and perpendicular to the plane of the speakers, it is in what is known as the "forward direction". This means that the sound waves from both speakers are in phase at that point, leading to constructive interference.
Constructive interference occurs when the peaks of two sound waves align, resulting in a combined wave with a higher amplitude. Since the point is equidistant from the two speakers and directly in front of one of them, the sound waves from both speakers will reach the point in phase, reinforcing each other and producing maximum constructive interference.
As a result, at the point (4, 0) meters, there will be an increased sound intensity due to the constructive interference of the sound waves from the two speakers.
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please help me !!!!!!!!!
The proof to show that ∆AEC and ∆BDC are similar in the blanks is below;
Perpendicular linesReflexive property SASHow to prove that ∆AEC ~ ∆BDC?<BDC and <AEC are right angles by the definition of perpendicular lines and all right angles are congruent, So, <BDC≅AEC. Both ∆AEC and ∆BDC share <C, and <C ≅ <C by the reflexive property. Therefore, ∆AEC ~ ∆BDC by the SAS criterion for proving similar triangles.
A triangle is a three sided polygon. The type of triangles includes:
Right triangleIsosceles triangleEquilateral triangleScalene triangleRead more on triangles:
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a company has given you the task to research the amount of snowfall in cleveland from december to february. would you be more interested in looking at the mean, median, or mode?
The number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.
The mean, median, and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February. The mean is calculated by adding up all of the snowfall measurements and dividing that by the number of measurements. For example, if there were 4 snowfall measurements of 10, 20, 30 and 40 inches, the mean would be 25 inches (10+20+30+40 / 4). The median is the middle value of the snowfall measurements when they are arranged from least to greatest. In this example, the median would be 25 inches as well. The mode is the most frequently occurring value among the snowfall measurements. In this example, the mode is also 25 inches.
The mean, median and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February, with the mean and median being calculated by adding up all of the snowfall measurements and dividing that by the number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.
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Properly rounding 190.4592785 to the nearest tenth gives
The proper rounding of 190.4592785 to the nearest tenth gives 190.4.
What is round to the tenth?Look at the next place value to the right to round a number to the closest tenth (the hundredths). Simply eliminate all the numbers to the right if the number is 4 or fewer.
Add one to the digit in the tenth place if the number is five or above, and then eliminate all the digits to the right.
To round digits to the tenth means after the decimal there is only one number. It is tenth place.
190.4592785 = 190.4
Therefore, the nearest round to the tenth is 190.4.
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what is the slope of 2,4
Answer:
1/2 assuming you would start at (0,0)
Step-by-step explanation:
Hope this helps
A vase contains 60 marbles, all of which are red or orange. if the ratio of red marbles to orange ones is 1:5, what is the total number of red marbles in the vase?
The total number of red marbles in the vase are 10.
What is the ratio?A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.
The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.
Now, according to the question;
Let 'x' be the red marbles in the vase.
Let 'y' be the orange marbles in the vase.
The total number of marbles in the vase are 60
x + y = 60 (equation 1)
The ratio of red marbles to orange ones is 1:5.
Thus, x/y = 1/5
cross multiplying;
5x = y
or y = 5x
substitute the value of y in equation 1;
x + y = 60 (equation 1)
x + 5x = 60
6x = 60
x = 10 (red marbles)
Thus, the number of red marbles in the vase are 10.
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The perimeter of a rectangle is 30 inches. If the length of the rectangle is 10 inches, which equation could be used to find the width of the rectangle "w" in inches
Answer:
30=2(10 x w)
Step-by-step explanation:
P=2(l x w)
Perimeter(P) equals two times length(l) times width(w)
Hope this helps
Is it true that If B is produced by interchanging two rows of A, then detB = detA.
No. It is not true that if B is produced by interchanging two rows of A, then detB = detA.
det(B) = -det(A) is the correct formula for calculating the determinant of a matrix obtained by interchanging two rows of another matrix.
Two rows of a matrix are interchanged, the determinant of the resulting matrix is equal to the determinant of the original matrix multiplied by -1.
Therefore, we have det(B) = -det(A).
This can be seen from the formula for calculating the determinant of a matrix.
When two rows are interchanged, the determinant of the resulting matrix is equal to the determinant of the original matrix multiplied by -1 raised to the power of the number of row interchanges.
Since we have interchanged two rows, the power is 2, so the determinant of the resulting matrix is equal to the determinant of the original matrix multiplied by (-1)² = 1.
det(B) = -det(A) is the correct formula for calculating the determinant of a matrix obtained by interchanging two rows of another matrix.
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unit 5 homework 6(all things algebra. I have to do 8 questions and I have no idea what’s going on. SOMEONE PLEASE PLEASE PLEASE HELP!!!
Answer and Step-by-step explanation:
12.[p4-7p2-32p-15]/[p-4]
p*p*p*p-7*p*p-32p-15/p-4
4p-7*2p-32p-15/p-4
4p*2p-32p/p-7-15-4
8p-32p/p-7-15-4
8p-32p-26
-24p-26
11.[x4-2x3-29x2-43x+8/[x-7]
x*x*x*x-2*x*x*x-29*x*x-43x+8/x-7
4x-2*3x*-29*2x-43x+8/x-7
4x*3x*2x-43x/x-2-29+8-7
24x-43x/x-32
-19x-32
10.[2x3-14x+10/x/3]
2*x*x*x-14x+10/x/3
2*3x-14x+10/x/3
2*10/3*3x-14x/x
20/3*3x-14x
20/3*[-11x]
9.[m3-12m2+33m]/[m-5]
3m-12*m*m+33m]/[m-5]
3m*2m+33m/m-12-5
6m+33m-17
39m-17
Just use the same principle to get the rest of the two questions[I can't see them clearly]
HELP! A city pays a manufacturing company to produce more stop signs for the city due to an increase in traffic incidents at intersections. After doing some research, the company manager reads that a standard stop sign is a regular octagon that is 30 inches wide and 30 inches tall.
The apothem is 15 inches, the perimeter is calculated to be 99.41 while the area is given as 745.59
How to solve for the octagonThe side of the octagon is given by x inches
the interior side of the angles can be gotten by:
8-2 * 180 / 8 sides
= 135
We have to find the value of the angles
<abc = 180 - 135 = 45 degree
<acb = 180 - 135 = 45 degrees
x² = 2AB²
AB = x/√2
30 = x/√2 + x + x/√2
x = 30 / 1 + √2
The apothem = 30 / 2
= 15
perimeter = 8x
= 8(30 / 1 + √2)
= 99.4 inches
area = 0.5 x 15 x 99.4
= 745.59
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please help it’s on of my last questions
Determine whether you can construct many, one, or no triangle(s) with each description.
Evaluate the expression: 0.5f - 2.3g where f = 12 and g = 2
Answer:
1.4
Step-by-step explanation:
0.5f-2.3g where f=12 and g=2
substitute 12 in for f and 2 in for g and solve
0.5(12)-2.3(2)
6-4.6=1.4
Answer:
-4.6g + 6
Step-by-step explanation:
(0.5)(12)−2.3g(2)
=6+−4.6g
Answer:
=−4.6g+6
The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $5,000.00 between newspaper advertising and radio advertising. Management decided that at least 25% of the budget must be spent on each type of media and that the amount of money spent on local newspaper advertising must be at least twice the amount spent on radio advertising. A marketing consultant developed an index that measures audience exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for local newspaper advertising is 40 and the value of the index for spot radio advertising is 70, how should the restaurant allocate its advertising budget to maximize the value of total audience exposure?
(a) Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value of total audience exposure. (Assume N is the amount spent on newspaper advertising and R is the amount spent on radio advertising.)
(b) Develop a spreadsheet model and solve the problem using Excel Solver. (Round the Newspaper Dollars Allocated and the Radio Dollars Allocated to the nearest cent. Round the Total Exposure Index to the nearest integer.)
To formulate a linear programming model, let N represent the amount spent on newspaper advertising and R represent the amount spent on radio advertising.
The objective is to maximize the value of total audience exposure, which can be measured using the exposure index. Let's denote this as Z.
The constraints are as follows:
1. The budget constraint: N + R ≤ $5,000.
2. At least 25% of the budget must be spent on each type of media: N ≥ $1,250 and R ≥ $1,250.
3. The amount spent on local newspaper advertising must be at least twice the amount spent on radio advertising: N ≥ 2R.
Therefore, the linear programming model can be written as follows:
Maximize Z = 40N + 70R
Subject to:
N + R ≤ 5000
N ≥ 1250
R ≥ 1250
N ≥ 2R
(b) To solve this problem using Excel Solver, you can set up a spreadsheet model with the following columns: Newspaper Dollars Allocated, Radio Dollars Allocated, Total Exposure Index.
In the Newspaper Dollars Allocated column, input the formula "=N" to represent the amount spent on newspaper advertising. In the Radio Dollars Allocated column, input the formula "=R" to represent the amount spent on radio advertising.
In the Total Exposure Index column, input the formula "=40*N+70*R" to calculate the total exposure index based on the allocated budget.
Use Excel Solver to set up the optimization problem. Set the objective cell as the Total Exposure Index column and set the constraints for the budget, minimum spending, and newspaper-radio ratio.
After running the Solver, it will provide the optimal values for N and R (the amount spent on newspaper and radio advertising, respectively), as well as the maximum value of total audience exposure (rounded to the nearest integer).
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A plumber charges a $70 flat rate for all home repairs. His hourly rate is $15 per half hour. How much would a 2 hour and 26 min plumbing bill cost?
Answer:
$143
You multiply 15 by 4 = 60
add 70 = 130
divide 30 and 15 = .50
multiply 26 by .50 = 13
add 130 and 13 = 143
Find The Area please help me
what's the evaluation of (5+4)x7=?
Answer: 63
Step-by-step explanation:
about 4% of the population has a particular genetic mutation. 300 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 300.
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
How to calculate the probability distribution's mean: Steps
change every percentage to a decimal probability.Create a probability distribution table in step two. Multiply each column's values. Combine the outcomes from step 3.A specific genetic mutation affects 4% of the population. 300 persons are chosen at random. Find the standard deviation for the proportion of the 300 groups who have the genetic mutation.
Standard deviation is calculated as follows: 0.04 * 0.93/300 * sqrt(p*(1-p)/n) (0.000124).
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the air force receives 40 percent of its parachutes from company c1 and the rest from company c2. the probability that a parachute will fail to open is .0025 or .002, depending on whether it is from company c1 or c2, respectively. if a randomly chosen parachute fails to open, what is the probability that it is from company c1?
If a randomly chosen parachute fails to open, then the probability that it is from company c1 is 45.5%.
In the given question, the air force receives 40 percent of its parachutes from company c1 and the rest from company c2.
The probability that a parachute will fail to open is 0.0025 or 0.002, depending on whether it is from company c1 or c2, respectively.
If a randomly chosen parachute fails to open, then we have to find the probability that it is from company c1.
The parachute receive from P(c1) = 40% = 0.40
The parachute receive from P(c2) = 60% = 0.60
The probability of fail to open from company P(F/c1) = 0.0025
The probability of fail to open from company P(F/c2) = 0.002
The probability of random chosen parachute fails to open that it is from company c1 is
P(c1/F) = P(c1∩F)/P(F)
P(c1/F) = P(F/c1)P(c1)/P(F/c1)P(c1)+P(F/c2)P(c2)
P(c1/F) = 0.0025*0.40/0.0025*0.40+0.002*0.60
P(c1/F) = 0.001/0.001+0.0012
P(c1/F) = 0.001/0.0022
P(c1/F) = 0.455
P(c1/F) = 45.5%
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in the inpatient setting, a cpt code would be assigned by the hospital for a procedure code.
In the inpatient setting, a CPT code (Current Procedural Terminology) would typically be assigned by the hospital for a procedure code to accurately bill for the services provided during the patient's stay.
This code is used to describe the specific medical service or procedure performed, such as a surgery or diagnostic test. It is important for hospitals to accurately assign CPT codes to ensure proper billing and reimbursement for the services provided. Additionally, the use of standardized CPT codes helps to facilitate communication and record-keeping across different healthcare providers and facilities.
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Is the sampling distribution of the sample mean with n = 16 and n=32 normally distributed? (Round the standard error to 3 decimal places.) Answer is not complete. n Expected Value 65 65 Standard Error 1350 16 32 b. Can you conclude that the sampling distribution of the sample mean is normally distributed for both sample sizes? Yes, both the sample means will have a normal distribution No, both the sample means will not have a normal distribution No, only the sample mean with ns 16 will have a normal distribution No, only the sample mean with n= 32 will have a normal distribution c. If the sampling distribution of the sample mean is normally distributed with n = 16. then calculate the probability that the sample mean falls between 65 and 68. (If appropriate, round final answer to 4 decimal places.) We cannot assume that the sampling distribution of the sample mean is normally distributed We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 65 and 68 is Answer is not complete. Probability
(a) The expected value of the sample mean is 65 for both n = 16 and n = 32. (b) The conclusion about the normality of the sampling distribution cannot be determined based on the given information. (c) The probability that the sample mean falls between 65 and 68 cannot be calculated without additional information.
The sampling distribution of the sample mean with n = 16 and n = 32 can be approximated as normally distributed if certain conditions are met (e.g., if the population is normally distributed or the sample size is sufficiently large).
(a) The expected value (mean) of the sample mean for both n = 16 and n = 32 is 65.
(b) To determine whether the sampling distribution of the sample mean is normally distributed, we need to consider the sample size and assess if it meets the conditions for normality. In this case, the answer cannot be determined solely based on the information provided. Additional information, such as the population distribution or the central limit theorem, is needed to make a conclusive statement.
(c) Since the normality assumption is made for n = 16, we can calculate the probability that the sample mean falls between 65 and 68. However, the necessary information to calculate this probability is not provided, such as the population standard deviation or any relevant sample statistics. Therefore, the probability cannot be determined.
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The random variable w has a geometric distribution with p=0.25. approximately how far do the values of w typically vary, on average, from the mean of the distribution?
The values of w typically vary, on average, from the mean of the distribution about 3.46.
How to illustrate the deviation?The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.
For a geometric(p = 0.25) distribution, the variance is computed here as:
Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12
Therefore, the standard deviation is computed as:
= ✓(12) = 3.46 observations.
This is the standard deviation of the given distribution here.
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In an analysis of variance problem if SST = 120 and SSTR-80, then SSE is
a. 200
b. 40
c. 80
d. 120
The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.
How to find SSE in an analysis of variance problems with the SST and SSR values?Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.
In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.
The formula is SST = SSR + SSE ⇒ SSE = SST - SSR
Calculation:The given values of the analysis of the variance problem are
SST = 120; SSR = 80
Then, the value of SSE = SST - SSR = 120 - 80 = 40
So, option b is correct.
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Answer:
The car price decreased by $2,268.
The price of the car now is $33,732.
Step-by-step explanation:
Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.
Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.
Answer:
Step-by-step explanation:
6.3 : 100 = x : 36000
x = (36000 * 6.3)/100 = $2268 (decrease in price)
Price of new model: 36000 - 2268 = $33732
Calculate the gain or loss percent for CP = Rs.4500 and SP = Rs.5175.
Answer:
CP = 4500
SP = 5175
As the SP is greater than the CP, it is a profit
Profit = 675
Profit percent = (Profit / CP) * 100
=> (675/4500) * 100
=> 675/45 (As the 2 zeros of hundred in the numerator is cancelled by the 2 zeros of the 4500 in the denominator)
=> 15 (Once you divide 675 by 45)
=> 15 % profit
Therefore, Profit = 15 %
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
HELP ME PLSSSSSSSSSSS ALL MY POINTS
Answer:
B
Step-by-step explanation:
You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.
text Jim Belushi Lanka Lanka
Answer:
26.a
27 c
28.a
Step-by-step explanation: