Answer:
B
Step-by-step explanation:
The length of a rectangular sign is 5 times its width. if the signs perimeter is 36 inches,what is the signs area?
Answer:
length is 15
width is 3
Step-by-step explanation:
3 * 5 is 15
3+3+15+15= 36
In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
We have,
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:
mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6
Next, we calculate the deviation of each data point from the mean:
|4 - 6.6| = 2.6
|5 - 6.6| = 1.6
|7 - 6.6| = 0.4
|9 - 6.6| = 2.4
|8 - 6.6| = 1.4
Then we find the average of these deviations, which gives us the mean absolute deviation:
MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6
Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
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Three daily activities that involve electromagnetic energy?
Please help I really really need this answer, please help?
Gregs mom baked 24 vinnies mom baked 36 brads mom baked twice as much multipley it its 3..2..1.. (24+36)x2=120 hope this helps u!!!!
Gregs's mom baked 24 cookies, while Vinnie's mom baked 36 cookies. Brad's mom baked twice as much as Greg's mom, resulting in a total of 48 cookies. The total number of cookies that were baked is found by adding the number of cookies that each mom baked:
24 + 36 + 48 = 108.
The cookies can be divided into 3 groups of 36, 4 groups of 27, 6 groups of 18, 9 groups of 12, 12 groups of 9, 18 groups of 6, 27 groups of 4, or 36 groups of 3 cookies. Since there are more than 100 words required, let's talk about the importance of fractions and equivalent ratios.
In conclusion, Greg's mom baked 24 cookies, Vinnie's mom baked 36 cookies, and Brad's mom baked 48 cookies, resulting in a total of 108 cookies. The cookies can be divided into fractions or equivalent ratios to distribute them evenly among the children.
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QUESTION 4 Based on the random selection for the selected 50 heart patients at Hospital M, 50% of them affected by highly stress, 35% them affected by high cholesterol level and 20% them affected by both factors. 1) Illustrate the above events using Venn diagram. a) li) Find the probability that the patients affected by highly stress or high cholesterol level. iii) Compute the probability that the patient affected by his stress when he is already had high cholesterol. iv) Compute the probability that neither of these patients affected by highly stress nor high cholesterol level.
In the Venn diagram overlapping region will represent the patients affected by both factors. Here's a visual representation below.
(i) The probability that a patient is affected by highly stress or high cholesterol level is 65%.
(ii) The probability that a patient is affected by highly stress when they already have high cholesterol is approximately 0.5714 or 57.14%.
(iii) The probability that neither of these patients is affected by highly stress nor high cholesterol level is 35%.
To illustrate the events using a Venn diagram, we can create a diagram with two overlapping circles representing the two factors: highly stress and high cholesterol level. Let's label the circles as "Stress" and "Cholesterol," respectively.
Since 50% of the patients are affected by highly stress, we can shade 50% of the area inside the "Stress" circle. Similarly, since 35% of the patients are affected by high cholesterol level, we can shade 35% of the area inside the "Cholesterol" circle. Finally, since 20% of the patients are affected by both factors, we can shade the overlapping region of the two circles where they intersect.
The resulting Venn diagram would look like this:
_______________________
/ \
/ \
| |
| Stress |
| (50% shaded) |
| _________ |
| / \ |
| / \ |
| | _______ | |
| | | | | |
| | | | | |
| | | | | |
| | |_______| | |
| \ / |
| \ / |
| \_________/ |
| |
| |
| Cholesterol |
| (35% shaded) |
| |
\ /
\_______________________/
Now let's calculate the probabilities based on the information provided:
i) To find the probability that the patients are affected by highly stress or high cholesterol level, we can add the individual probabilities and subtract the probability of both factors occurring simultaneously (to avoid double counting).
Probability (Stress or Cholesterol) = Probability (Stress) + Probability (Cholesterol) - Probability (Stress and Cholesterol)
= 50% + 35% - 20%
= 65%
Therefore, the probability that a patient is affected by highly stress or high cholesterol level is 65%.
ii) To compute the probability that a patient affected by highly stress when they already have high cholesterol, we can use the conditional probability formula:
Probability (Stress | Cholesterol) = Probability (Stress and Cholesterol) / Probability (Cholesterol)
= 20% / 35%
≈ 0.5714
Therefore, the probability that a patient is affected by highly stress when they already have high cholesterol is approximately 0.5714 or 57.14%.
iii) To compute the probability that neither of these patients is affected by highly stress nor high cholesterol level, we can subtract the probability of the patients affected by highly stress or high cholesterol level from 100% (as it represents the complement event).
Probability (Neither Stress nor Cholesterol) = 100% - Probability (Stress or Cholesterol)
= 100% - 65%
= 35%
Therefore, the probability that neither of these patients is affected by highly stress nor high cholesterol level is 35%.
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18. Prime numbers are closed under subtraction.
True or false
Answer: False
=======================================
Explanation:
We simply need one counterexample to disprove the original claim.
The values 5 and 11 are prime, but 11-5 = 6 is not prime.
We see that taking two primes, and subtracting them, leads to some value outside the set of primes. Therefore, the set of primes is not closed under subtraction.
Name the property used in the given expression −33/ 57 × −7/ 28 = −7/ 28 × −33/ 57
Answer:
Communitive Property
Step-by-step explanation:
a * b = b * a
In your case,
(-a / b) * (-c / d) = (-c / d) * (-a / b)
brainly pls :)
Answer:
Answer:
Communitive Property
Step-by-step explanation:
a * b = b * a
In your case,
(-a / b) * (-c / d) = (-c / d) * (-a / b)
Step-by-step explanation:
*
Gas Station and Park
Alternate Exterior Angles
Corresponding Angles
Same-Side
rior Angles
Alternate Interior Angles
Vertical Angles
Answer:
Alternate Interior Angles
Step-by-step explanation:
rg
Write the quotient as a mixed number. 91 ÷ 8 = 11 R3
Answer:
\(11\frac{3}{8}\)
Parker simplified the expression y2-5 (y+y2+8y+16/y+4)-12 as shown below. Which statement best describes Parker's error?
Answer:
he distributed -5 incorrectly
Answer:
D one Edge 2021 ;))
Step-by-step explanation:
Solve the following systems of equations using Gaussian Elimination. 2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Find the inner product of two vectors A = (2, -3,0) and B = = (-1,0,5)
The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).
Solving the given system of equations using Gaussian elimination:
2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13
Matrix form of the system is
[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13
Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1
Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4
Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5
Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5
Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6
The solution is (x,y,z) = (6,-5,5)
Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).
The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by
A·B = |A||B|cosθ
Given,A = (2, -3,0) and B = (-1,0,5)
Magnitude of A is |A| = √(2²+(-3)²+0²) = √13
Magnitude of B is |B| = √((-1)²+0²+5²) = √26
Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2
Cosine of the angle between A and B is
cosθ = A·B / (|A||B|)
cosθ = -2 / (√13×√26)
cosθ = -2 / √(13×26)
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please help I am confused
Answer:
y=-2x+11
Step-by-step explanation:
Slope-intercept form is y=mx+b.
Slope is rise/run, which is y2-y1/x2-x1. Using these points, that's (13-5)/(-1-3). This is 8/-4, or -2.
You can plug this into y=mx+b to get y=-2x+b.
To solve for b, you can use one of the original points and plug it back into the formula:
y=-2x+b
5=-2(3)+b
5=-6+b
b=11
So, putting it all together, you get y=-2x+11.
Let m = slope
m = (13 - 5)/(-1 - 3)
m = 8/-4
m = -2
Now use the point-slope formula.
Here is the formula: y - y_1 = m(x - x_1).
y - 5 = -2(x - 3)
y - 5 = -2x + 6
y = -2x + 6 + 5
y = -2x + 11
Done.
Susan’s elevation at the top of a mountain is 1530 meters.After four hours of climbing down her elevation is 680 meters. What is Susan’s average change in elevation in meters per hour?
Answer:
212.5/h
Step-by-step explanation:
subtract the new value from the old value, then divide by the time.
(1530 - 680)/4
850/4
212.5/1h
Answer: Sorry I’m late, look at the picture this is the correct answer!
Step-by-step explanation: Hope this help :D
Which statistical value describes how well a regression line fits the data points?.
The statistical value describes a regression line fits the data points:
R-squared
What is Statistical Value?
When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.
The statistical value describes a regression line fits the data points is
R-squared
The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.
R-squared = Explained variation / Total variation
R-squared is always between 0 and 100%
The better the model matches your data, in general, the greater the R-squared.
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Find m for the investment of $1000.00 for 2 years at 1.8% compounded semi-annually. A) 1
B) 0.9% C) 2 D) 4
(B) 0.9%. We can use the formula for compound interest to find the value of the investment after 2 years:
A = P(1 + r/n)^(nt)
where A is the amount of money after the time period, P is the principal (initial investment), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
Plugging in the given values, we get:
A = 1000(1 + 0.018/2)^(2*2)
= 1000(1 + 0.009)^4
= 1000(1.009)^4
≈ 1083.02
So the investment is worth approximately $1083.02 after 2 years.
To find the interest rate per year, we can use the formula:
r = n[(A/P)^(1/nt) - 1]
Plugging in the values we know, we get:
r = 2[(1083.02/1000)^(1/(2*2)) - 1]
= 2[(1.08302)^(1/4) - 1]
≈ 0.9%
Therefore, the answer is (B) 0.9%.
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Solve the equasoin for y
3x - 4y = 16
Answer:
\(y=\frac{3}{4}x-4\)
Step-by-step explanation:
\(3x-4y=16\\-4y=16-3x\\y=-4+\frac{3}{4}x\\y=\frac{3}{4}x-4\)
Answer: y= 3/4x - 4
Step-by-step explanation:
start by moving everything to the right side of the y variable.
-4y=-3x + 16
then, divide both sides by -4 which then gives you
y= 3/4x - 4
therefore your answer is y= 3/4x - 4
Tell whether the following statements are always true, sometimes true or always false./p>
a. If a positive is subtracted from a negative integer, the difference is a negative integer.
b. If a positive integer is subtracted from a positive integer, the difference is a positive integer.
Each statement about integer is:
"If positive is subtracted from a negative integer, the difference is negative integer" can be sometimes true because when a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer."If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer" is sometimes true because when a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer.Statement A: If positive is subtracted from a negative integer, the difference is negative integer.
This statement is sometimes true.
If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.
Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.
This statement is sometimes true.
If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.
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For a system of linear equations, the solution for the system is__
Diego is recording a song and uses computer software to adjust the pitch of his voice. The frequency of the pitch is a function of time, in seconds, given by the function F(t) = 180 + 12t. What are the reasonable input values of this function? What are the reasonable output values of this function?
pleaseeeee help
Reasonable inputs for the function are values of t ≥ 0, while reasonable outputs for the function are values of F(t) ≥ 180.
How to obtain the input and the output of the function?The function for this problem is defined as follows:
F(t) = 180 + 12t.
The input and output variables are given as follows:
Input t -> time in seconds.Output F(t) -> Frequency.The time cannot be negative, hence reasonable values for the input are given as follows:
t ≥ 0.
The frequency is modeled by an increasing linear function with initial value of 180, hence reasonable values for the output are given as follows:
F(t) ≥ 180.
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X°, y° and z °are three angles lying on a straight line having vertices at same point. If y° =45° and z °=86°. Find the value of x.
Answer:
49degrees
Step-by-step explanation:
The sum of angle on a straight line is 180degrees, hence;
x + y + z = 180
x + 45 + 86 = 180
x + 131 = 180
x = 180 - 131
x = 49degrees
Hence the value of x is 49degrees
Perform A Line By Line Estimate For A Proposed Warehouse. The Existing Warehouse Is 10,000SF And Has A Perimeter Of 410LF. The Proposed Warehouse Is 15,000SF, And Has A Perimeter Of 500LF. Calculate The Area And Perimeter Ratios, Enter Them Into The Spreadsheet, And Calculate The Overall Cost For The Proposed 15000 SF Warehouse. Enter The Appropriate Ratio
The Area Ratio is 1.5. and Perimeter Ratio is 1.22. The estimated overall cost for the proposed 15,000 SF warehouse is $150,000.
To perform a line by line estimate for the proposed warehouse, we'll calculate the area and perimeter ratios between the existing and proposed warehouses. We'll then use these ratios to estimate the overall cost for the proposed 15,000 square feet (SF) warehouse.
Given: Existing Warehouse:
Area: 10,000 SF
Perimeter: 410 LF
Proposed Warehouse:
Area: 15,000 SF
Perimeter: 500 LF
First, let's calculate the area ratio:
Area Ratio = Proposed Area / Existing Area
Area Ratio = 15,000 SF / 10,000 SF
Area Ratio = 1.5
Next, let's calculate the perimeter ratio:
Perimeter Ratio = Proposed Perimeter / Existing Perimeter
Perimeter Ratio = 500 LF / 410 LF
Perimeter Ratio = 1.22 (rounded to two decimal places)
We'll now use these ratios to estimate the overall cost for the proposed 15,000 SF warehouse. Since we don't have specific cost figures, we'll assume a linear relationship between the area and cost.
Cost Estimate = Existing Cost * Area Ratio
Let's assume the existing cost is $100,000.
Cost Estimate = $100,000 * 1.5
Cost Estimate = $150,000
Therefore, the estimated overall cost for the proposed 15,000 SF warehouse is $150,000.
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2. Convert 3.554 into a percent.
Answer:
355.4%
Step-by-step explanation:
Answer:
355.4%
Step-by-step explanation:
Multiply 3.554 with 100.
A system of equations is given as:
x = 8
3x + 4y = 16
What is the value of y?
Answer:
3x + 4y = 16
x = 8
y = -2
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Use the graph to write a linear function that relates y to x .
Four points are plotted on a coordinate plane. The horizontal axis is labeled "x" and ranges from negative 6 to 3. The vertical axis is labeled "y" and ranges from negative 1 to 4. The points are plotted at ordered pair negative 6 comma 1, ordered pair negative 3 comma 2, ordered pair 0 comma 3, and ordered pair 3 comma 4.
The linear function that relates y to x is y = (1/3)x + 3 using the described graph.
How to write a linear function?Use the two given points to find the slope of the line passing through them:
slope = (change in y) / (change in x)
= (4 - 1) / (3 - (-6))
= 3/9
= 1/3
Next, use the point-slope form of the equation of a line to write the equation:
y - y1 = m(x - x1) where (x1, y1) is any point on the line, and m is the slope found.
Using the point (0, 3):
y - 3 = (1/3)(x - 0)
Simplifying:
y = (1/3)x + 3
So the linear function that relates y to x is y = (1/3)x + 3.
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Complete question:
Use the graph to write a linear function that relates y to x, given the following points:
(-6, 1)
(-3, 2)
(0, 3)
(3, 4)
The following data represent the dividend yields (in percent) of a random sample of 26 publicly traded des Complete parts (a) to (c) 0.5 0.8 1.75 0.04 0.18 0.35 3.69 0 0.95 0 0.17 1.83 1.33 0 0.54 1.14 0.41 159 21 2.41 292 3.18 3.03 1.43 0.58 0.13 0 0.19 (a) Compute the five-number summary The five-number summary is 10000 (Round to two decimal places as needed. Use ascending order)
Based on the data above, The five-number summary is 0.00, 0.17, 0.5, 1.43, 292.00.
The following data represent the dividend yields (in percent) of a random sample of 26 publicly traded des.
The following data represents the dividend yields (in percent) of a random sample of 26 publicly traded des:
0.5 0.8 1.75 0.04 0.18 0.35 3.69 0 0.95 0 0.17 1.83 1.33 0 0.54 1.14 0.41 159 21 2.41 292 3.18 3.03 1.43 0.58 0.13 0 0.19
Here, the five-number summary is given by:
Minimum value = 0.00
First Quartile (Q1) = 0.17
Median (Q2) = 0.5
Third Quartile (Q3) = 1.43
Maximum value = 292.00
Therefore, the five-number summary is 0.00, 0.17, 0.5, 1.43, 292.00.
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What's the volume to this prism?
Answer:
36 cubic inch
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
\(V=whl\)
----------------------------------------------------------------------------------------------------------------
So:
6 × 3 × 2 = 36
----------------------------------------------------------------------------------------------------------------
Have a good day :)
please help!!!
translate the triangle with the vector -4 , 1
The transformation can be defined as the introduction of a new set of mathematical coordinates.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
Given the triangle is needed to be translated by vector <-4,1>, therefore, we need to reduce -4 from all the x-coordinates of the points and add 1 to all the y-coordinates of the points.
Since negative on the x-axis is towards the left, and positive on the y-axis is upwards. Therefore, the translation of the given triangle will be as shown below.
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Two groups of students went to pizza delight one group paid 25 dollars 2 pizzas and 5 salads the other group paid 30.90 dollars for 3 pizzas and 2 salads
The cost of pizza and salad will be $8.54 and $2.64 respectively.
How to calculate the equations?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
The equation will be represented as;
Let p = pizza
Let s = salad
2p + 3s = 25
3p + 2s = 30.90
Multiply equation i by 3
Multiply equation ii by 2
6p + 9s = 75
6p + 4s = 61.80
Subtract.
5s = 13.20
Divide
s = 13.20 / 5
s = $2.64
Pizza will be
2p + 3s = 25
2p + 3(2.64) = 25
2p = 25 - 7.92
p = 17.08 / 2
p = 8.54
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l
Complete question
Two groups of students went to pizza delight one group paid 25 dollars 2 pizzas and 5 salads the other group paid 30.90 dollars for 3 pizzas and 2 salads. Find the cost of the pizza and salad.
How are the SSS and SAS Similarity Theorems like SSS and SAS theorems for congruent triangles How are they different?
SAS and SSS postulates and theorems are used to show triangles are similar. They differ in what is required. SSS similarity requires all corresponding pairs of sides to be proportional. SAS needs two sets of corresponding sides to be proportional and the angle between the sides to be congruent.
The difference between SSS and SAS theorems:
1) SSS denotes for "side, side, side" and means that we have two triangles with all three sides alike.
2) SAS denotes for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are alike.
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Help me! thank you so much
Answer:
Step-by-step explanation:
\(\frac{sinxcos^3x-cos xsin^3x}{cos^42x-sin^42x} \\=\frac{sin x cos x(cos^2x-sin ^2 x)}{(cis^2 2x+sin^2 2x)(cos^2 2x-sin ^22x)} \\=\frac{2sin x cos x cos 2x}{2(1)(cos 4x)} \\=\frac{sin 2x cos 2x}{2 cos 4x} \\=\frac{2 sin 2x cos 2x}{4 cos 4x} \\=\frac{sin 4x}{4 cos 4x} \\=\frac{1}{4} tan 4x\)