Answer:
1/15
Step-by-step explanation:
Based on the given conditions, formulate: 2/3 divided by 10
Divide a fraction by multiplying its reciprocal: 2/3 x 1/10
Cross out the common factor: 1/3 x 1/5
Write as a single fraction: 1/3x5
Calculate the product or quotient:1/15
get the result:1/15
Answer:
1/15
1/15
Step-by-step explanation:
Based on the given conditions, formulate: 2/3 divided by 10
Divide a fraction by multiplying its reciprocal: 2/3 x 1/10
Cross out the common factor: 1/3 x 1/5
Write as a single fraction: 1/3x5
Calculate the product or quotient:1/15
get the result:1/15
Answer:
1/15
A certain disease has an incidence rate of 0.4%. If the false negative rate is 8% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease
Answer:
To compute the probability that a person who tests positive actually has the disease, we need to use Bayes' theorem:
P(D|P) = P(P|D) * P(D) / P(P)
where:
P(D|P) is the probability of having the disease given a positive test result
P(P|D) is the probability of testing positive given that the person has the disease (also known as sensitivity), which is 1 - false negative rate = 0.92 in this case
P(D) is the incidence rate of the disease, which is 0.4% = 0.004
P(P) is the probability of testing positive, which can be computed using the false positive rate as 1 - specificity = 1 - 0.98 = 0.02
Plugging in the values, we get:
P(D|P) = 0.92 * 0.004 / 0.02 = 0.184
Therefore, the probability that a person who tests positive actually has the disease is 0.184, or about 18.4%.
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The solution of the linear equation y = 15 x + 9 and y = 1/2 x - 20 is
x = -2
y = -21
How to solve the linear equationThe linear equation can be solved by graphical method to give the solution. The graph is attached
(-2, 21)
Using elimination method we have
y = 15 x + 9
y = 1/2 x - 20
subtracting will result to
0 = 14.5x + 29
-14.5x = 29
isolating x
x = 29 / -14.5
x = -2
substituting x = -2 into y = 15 x + 9
y = 15 (-2) + 9
y = -30 + 9
y = -21
Hence the solution is x = -2 and y = -21
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Select all the equations where b = 11 b=11b, equals, 11 is a solution. Choose 2 answers: Choose 2 answers: (Choice A) 2 b = 211 2b=2112, b, equals, 211 A 2 b = 211 2b=2112, b, equals, 211 (Choice B) b + 18 = 7 b+18=7b, plus, 18, equals, 7 B b + 18 = 7 b+18=7b, plus, 18, equals, 7 (Choice C) 77 = 7 b 77=7b77, equals, 7, b C 77 = 7 b 77=7b77, equals, 7, b (Choice D) 9 = b − 2 9=b−29, equals, b, minus, 2 D 9 = b − 2 9=b−29, equals, b, minus, 2 (Choice E, Checked) 11 = 33 ÷ b 11=33÷b11, equals, 33, divided by, b E 11 = 33 ÷ b 11=33÷b11,
The equations where b = 11 are A, B, C, D, and E. All of these equations are true when b = 11.
How to point equation on a graph?To point an equation on a graph, first, determine the equation and its variables. Then, plot the points of the equation on the graph by substituting the variable values and plotting the corresponding points. To find the equation’s slope, calculate the rise and run of two points on the graph. The slope is used to draw a line of best fit. Finally, draw a line that intersects the points of the equation and the line of best fit. This will be the equation’s graph.
Choice A states that 2b = 2112, b, equals, 211, which means that 2 times 11 is equal to 21. Choice B states that b + 18 = 7b, plus, 18, equals, 7, which means that 11 plus 18 is equal to 7. Choice C states that 77 = 7b77, equals, 7, b, which means that 77 divided by 7 is equal to 11. Choice D states that 9 = b − 29, equals, b, minus, 2, which means that 11 minus 2 is equal to 9. Finally, Choice E states that 11 = 33 ÷ b11, equals, 33, divided by, b, which means that 33 divided by 11 is equal to 11. Therefore, all of these equations are true when b = 11.
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Suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. The sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. Both sales volume and advertising expenditures are in thousands of dollars.
Estimated Sales Volume=45.15+0.54(Advertising Expenditures)
If the company has a target sales volume of $125,000
, how much should the sales manager allocate for advertising in the budget? Round your answer to the nearest dollar.
Answer:
We can use the given equation to solve for the advertising expenditures needed to achieve the target sales volume of $125,000:
125 = 45.15 + 0.54x
where x is the advertising expenditures in thousands of dollars.
Simplifying the equation:
0.54x = 125 - 45.15
0.54x = 79.85
x = 79.85 / 0.54
x ≈ 147.69
Therefore, the sales manager should allocate about $147,690 for advertising in the budget to achieve the target sales volume of $125,000.
Step-by-step explanation:
How does the graph change between point A and point B?
The graph increases.
The graph decreases.
The graph remains constant.
Mark this and return
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Step-by-step explanation:
nothimg there to solve...
The correct answer for the graph change between point A and point B is,
⇒ The graph increases.
What is a graph?A diagram showing relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
Now it is given that there are two points on the graph,
Point A and point B.
Now, in the first case the graph increases from (0,0) to Point A.
Here graph of a function will be increasing i..e the curve has a positive slope or positive rate of change at each point between them.
In the second case the graph continues to increases through Point B.
Here also, graph of a function will be increasing i..e the curve has a positive slope or positive rate of change at each point between them.
Hence, the graph is increases from (0,0) → Point A →Point B.
Therefore, the correct answer is- The graph increases.
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Complete question is,How does the graph change between point A and point B? On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B. The graph increases. The graph decreases. The graph remains constant. The graph increases, then decreases.
PLS PLS PLS PLS PLS HELP
The best interpretation of the y-intercept of the linear function is given as follows:
D. The model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.The variables for this problem are given as follows:
x is the number of years since 2000.y is the cost of renting.Hence option D gives the correct interpretation of the intercept of the line.
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Help me out pls. I have been trying to solve this forevrr but can find out how to work it since its not a true circle
The area of the composite figure is equal to 63.270 square feet.
How to find the area of a composite figure
In this problem we need to compute the area of a composite figure, which is the result of adding the areas of a semicircle and a right triangle. The area formulas of the figures mentioned above are introduced below:
Semicircle
A = 0.5 · r²
Right triangle
A = 0.5 · b · h
Where:
r - Radius, in feetb - Base, in feeth - Height, in feetA - Area, in square feetIf we know that r = 5 ft, b = 8 ft and h = 6 ft, then the area of the composite figure is:
A = 0.5π · (5 ft)² + 0.5 · (8 ft) · (6 ft)
A = 12.5π + 24 ft²
A = 63.270 ft²
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y= X b X y C
find the y- intercept and write the slope equation to match slope intercept
The slope of the equation is -2/3 and the y-intercept is 14/3.
What is y-intercept?A y-intercept is the place where a line or curve crosses, or touches, the y-axis the vertical, often darkened line in the center of a graph.
Since, the equation is not clear, let us consider the equation, 2x+3y = 14
The slope intercept form of a line is given by =
y = mx+c, where m is the slope and the c is the y-intercept.
Converting the assumed equation into slope intercept form,
2x+3y = 14
3y = -2x+14
y = -2x/3+14/3
Here we get the slope = -2/3 and y-intercept = 14/3
Hence, the slope of the equation is -2/3 and the y-intercept is 14/3.
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Find the value of x
Check the picture below.
x2/3 is the same as x^2/x^3
Answer:
Step-by-step explanation: true
You go into a car dealership and tell them that you have a budget of $300/month. You are interested in getting a Chevy Cruze that is on sale for $16,000. Due to your excellent credit score, you qualify for a 5-year loan at 4% APR with No Down Payment. What is your monthly payment? Are you within budget?
how much will the car cost you after the loan has been paid in full?
Answer: $17,788.20
Step-by-step explanation:
To calculate the monthly payment, we can use the loan formula:
P = (r * A) / (1 - (1 + r)^(-n))
where:
P is the monthly payment
A is the loan amount, which is the sale price of the car ($16,000) in this case
r is the monthly interest rate, which is the annual percentage rate (APR) divided by 12 (4% / 12 = 0.003333...)
n is the total number of payments, which is the number of years of the loan multiplied by 12 (5 years * 12 = 60)
Substituting these values into the formula, we get:
P = (0.003333... * $16,000) / (1 - (1 + 0.003333...)^(-60))
P ≈ $296.47
Therefore, the monthly payment is approximately $296.47, which is within the budget of $300/month.
To calculate the total cost of the car after the loan has been paid in full, we can multiply the monthly payment by the total number of payments (60) and add the original sale price of the car:
Total cost = P * n + A
Total cost = $296.47 * 60 + $16,000
Total cost = $17,788.20
Therefore, the total cost of the car after the loan has been paid in full is approximately $17,788.20.
Help Please help me points and brainliest!!!!
In the U.S, individuals who earn an income in the top 1 percent can be referred to as good earners The percent of top earners who are men, , is more than four and a half times the percent of top earners who are women, . Also the percent of top earners who are men, , is less than five times the percent of top earners who are women, . Write and solve a compound inequality for the top percent of earners who are women:W.
Answer:1.111
Step-by-step explanation:
Let's use the variable W to represent the percent of top earners who are women.
According to the problem statement, the percent of top earners who are men is more than four and a half times the percent of top earners who are women. Mathematically, we can write this as:
M > 4.5W
Additionally, the percent of top earners who are men is less than five times the percent of top earners who are women. This can be written as:
M < 5W
We can combine these two inequalities into a compound inequality:
4.5W < M < 5W
This means that the percent of top earners who are men is between 4.5 times and 5 times the percent of top earners who are women.
To solve for W, we can divide all three parts of the compound inequality by 4.5:
W < M/4.5 < W/0.9
Simplifying, we get:
W < 0.222M < 1.111W
Therefore, the percent of top earners who are women, W, must be less than 0.222 times the percent of top earners who are men, and also less than 1.111 times the percent of top earners who are women.
On a standardized science test, the seniors at a high school have a mean score of 425 with a standard deviation of 80. What is the probability that a random sample of 50 seniors has a mean score of at most 415?
The response to the given question would be that As a result, there is a probability 1.3% chance (or about 0.013) that a random sample of 50 seniors will have a mean score of no higher than 415.
What is probability?Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.
The sample mean's sampling distribution may be approximated using the central limit theorem as having a mean of 425 and a standard deviation of[tex]80\sqrt(50) = 11.31.[/tex]
z is equal to (x - mu) / (sigma / sqrt(n))
where n is the sample size, x is the sample mean, mu is the population mean, sigma is the population standard deviation.
When we enter the values, we obtain:
[tex]z = (415 - 425) / (80\sqrt(50)) = -2.23[/tex]
As a result, there is a 1.3% chance (or about 0.013) that a random sample of 50 seniors will have a mean score of no higher than 415.
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If 6% of a number is 10, find 3% of that number.
Answer:
1.8
Step-by-step explanation:
6 is 10% of 60, which means 3% of 60 is 1.8.
The table shows the magnitudes of the earthquakes that have occurred in the past 10 years. Use the frequency distribution to construct a histogram. Does the histogram appear to be skewed? If so, identify the type of skewness.
Earthquake magnitude
Frequency
5.0-5.9
13
6.0-6.9
14
7.0-7.9
9
8.0-8.9
4
9.0-9.9
3
Question content area bottom
Part 1
Construct the histogram. Choose the correct graph below.
A.
5
6
7
8
9
10
0
5
10
15
Earthquake magnitude
Frequency
A histogram with horizontal axis labeled Earthquake magnitude from 5 to 10 in intervals of 1 and vertical axis labeled Frequency from 0 to 15 in intervals of 5 contains vertical bars with heights as follows: 5 to 6, 13; 6 to 7, 14; 7 to 8, 9; 8 to 9, 4; 9 to 10, 3.
B.
5
6
7
8
9
10
0
5
10
15
Earthquake Magnitude
Frequency
A histogram with horizontal axis labeled Earthquake magnitude from 5 to 10 in intervals of 1 and vertical axis labeled Frequency from 0 to 15 in intervals of 5 contains vertical bars with heights as follows: 5 to 6, 3; 6 to 7, 9; 7 to 8, 13; 8 to 9, 9; 9 to 10, 3.
C.
5
6
7
8
9
10
0
5
10
15
Earthquake magnitude
Frequency
A histogram with horizontal axis labeled Earthquake magnitude from 5 to 10 in intervals of 1 and vertical axis labeled Frequency from 0 to 15 in intervals of 5 contains vertical bars with heights as follows: 5 to 6, 13; 6 to 7, 14; 7 to 8, 13; 8 to 9, 13; 9 to 10, 14.
D.
5
6
7
8
9
10
0
5
10
15
Earthquake Magnitude
Frequency
A histogram with horizontal axis labeled Earthquake magnitude from 5 to 10 in intervals of 1 and vertical axis labeled Frequency from 0 to 15 in intervals of 5 contains vertical bars with heights as follows: 5 to 6, 3; 6 to 7, 4; 7 to 8, 9; 8 to 9, 14; 9 to 10, 13.
Part 2
The histogram
▼
has a longer left tail,
has a longer right tail,
appears roughly symmetric,
so the distribution of the data is
▼
skewed to the right.
skewed to the left.
not skewed.
The histogram has a longer right tail since skewed right side
The distribution of data is positively skewed distribution
How to explain the histogramA histogram with a longer right tail indicates that the data is skewed to the right, which means that the majority of the data points are on the left side of the graph, and there are fewer data points on the right side. This is also known as a positively skewed distribution.
In a positively skewed distribution, the mean is typically greater than the median, and the mode is less than the median. This is because the presence of outliers on the right side of the graph can pull the mean towards higher values, while the median remains closer to the bulk of the data.
The graph that represents this is D.
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Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from residents in a region born after 1979. Use the given data to construct a boxplot and identify the 5-number summary.
124
127
131
135
138
142
142
143
147
150
154
156
157
160
163
168
170
171
174
181
Question content area bottom
Part 1
The 5-number summary is enter your response here, enter your response here, enter your response here, enter your response here, and enter your response here, all in mBq.
(Use ascending order. Type integers or decimals. Do not round.)
Part 2
Which boxplot below represents the data?
A.
100
120
140
160
180
200
220
Strontium-90 (mBq)
A boxplot titled strontium-90 measured in millibecquerels is plotted above a horizontal scale from 100 to 220 in increments of 10. The boxplot consists of a box that extends from 130 to 165.5, a vertical line segment drawn through the box at 160.75, and a horizontal line segment extending from 114 to 201 that bisects the box. All values are approximate.
B.
120
140
160
180
200
220
Strontium-90 (mBq)
A boxplot titled strontium-90 measured in millibecquerels is plotted above a horizontal scale from 120 to 220 in increments of 10. The boxplot consists of a box that extends from 130 to 175.25, a vertical line segment drawn through the box at 152, and a horizontal line segment extending from 124 to 201 that bisects the box. All values are approximate.
C.
100
120
140
160
180
200
220
Strontium-90 (mBq)
A boxplot titled strontium-90 measured in millibecquerels is plotted above a horizontal scale from 120 to 220 in increments of 10. The boxplot consists of a box that extends from 150 to 175.5, a vertical line segment drawn through the box at 162, and a horizontal line segment extending from 114 to 201 that bisects the box. All values are approximate.
D.
120
140
160
180
200
Strontium-90 (mBq)
In this case, the boxplot is option A, which shows the box extending from 130 to 165.5 mBq, with a line segment drawn through the box at 160.75 mBq. The whiskers extend from 114 to 201 mBq, with no outliers.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
The problem asks us to construct a boxplot and identify the 5-number summary of a set of data. The data represents the amounts of strontium-90 (in millibecquerels, or mBq) in a sample of baby teeth from residents born after 1979. The data is as follows:
124, 127, 131, 135, 138, 142, 142, 143, 147, 150, 154, 156, 157, 160, 163, 168, 170, 171, 174, 181
To construct the boxplot, we need to first find the 5-number summary, which consists of the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. We can find these values by putting the data in ascending order and then using the following formulas:
Q1 = median of the lower half of the data
Q2 = median of the entire data set
Q3 = median of the upper half of the data
Using these formulas, we find the 5-number summary to be:
Minimum value: 124 mBq
Q1: 138 mBq
Median: 150 mBq
Q3: 168 mBq
Maximum value: 181 mBq
We can now use this information to construct the boxplot. The horizontal axis represents the values in the data set, and the vertical axis represents the frequency or density of those values. The boxplot consists of a box that extends from Q1 to Q3, with a line segment drawn through the box at the median (Q2). Whiskers extend from the top and bottom of the box to the minimum and maximum values, respectively, unless there are outliers. Outliers are plotted as individual points beyond the whiskers.
Therefore, In this case, the boxplot is option A, which shows the box extending from 130 to 165.5 mBq, with a line segment drawn through the box at 160.75 mBq. The whiskers extend from 114 to 201 mBq, with no outliers.
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Find the amplitude and period of the function fx=-2sin x .
We can state this by responding to the provided question As a result, the function's amplitude is 2 and its period is.
what is function?Mathematicians research numbers, their variants, equations, associated structures, forms, and possible configurations of these. The word "function" describes the connection between a group of inputs, each of which has a corresponding output. A function is a connection between inputs and outputs where each input results in a single, distinct outcome. Each function has a domain, codomain, or scope assigned to it. Functions are usually denoted by the letter f. (x). An x is entered. On functions, one-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.
The sine function of the form f(x) = -2sin(x) is an amplitude-scaled sine function.
The sine function's amplitude is represented by the coefficient, which in this example is -2. Hence, the function's amplitude is 2.
The equation T = 2/, where is the angular frequency, yields the period of the function. The angular frequency of a sine function is given by = 2/T.
With the function f(x) = -2sin(x) substituted, we get:
ω = 2π/T
Sin(x + ) = -2sin(x)
To solve for T, we obtain:
T = 2π/ω = 2π/(-2) = -π
We use T's absolute value as the period cannot be negative, making the function's period T =.
As a result, the function's amplitude is 2 and its period is.
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what do right angles look like
The right angles would be named as:
3. ∠PNL 4. ∠PNO
How to Name Right Angles?Right angles can be named in a few different ways, depending on the context in which they are being used. One common way is:
Using three points: use the names of the three points that form the angle, with the vertex of the angle in the middle. For example, if the right angle is formed by the line segments AB and BC, you could name it angle ABC.
The sign "∠" means angle, therefore, it can be named also as ∠ABC.
Thus, the right angles in the given diagram can be named accordingly as:
∠PNL and ∠PNO
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How many cups of tuna does Branden need to make 3 times the rec Draw a model to show how to solve.
I need the answer QUICKLY:
The experimental probability of choosing a nickel based on 13 trials would be 4 / 13
How to find the experimental probability ?The experimental probability can be found by the formula ;
= ( ( Probability of picking a Nickel x Number of trials ) + 1 ) / 13 trials
Probability of picking a Nickel - 1 / 4
Number of trials - 13 trials
The experimental probability for Landon picking a Nickel on the 13th trial is :
= ( ( 1 / 4 x 12 ) + 1 ) / 13
= ( 3 + 1 ) / 13
= 4 / 13
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You work for a company that rents out inflatable tents for birthday parties. A customer has asked you for the typical length of time a tent will stay inflated. For recent events, your data show the following inflation times, in hours: 24, 27, 27, 24, 27, 24, 24, 27, 24, 24, 24, and 27.
What is the best measure to describe the typical length of time that a tent will stay inflated?
spread
mode
mean
median
none of the above
According to the information, the best measure to describes the typical length of time that a tent will stay inflated is mean (average).
How to identify the option that corresponds to the best measure to describe typical length of time that a tent will stay Inflated?To identify the option that corresponds to the best measure to describes the typical length of time that a tend te stay inflated we have to analyze data and then we have to select the best option. In this case the most adequated measure is mean because it allow is to establish the average of time that a tent stay inflated. According to the above, this is the mean of the time that a tent will stay inflated
24 + 24 + 24 + 24 + 24 + 24 + 24 + 27 + 27 + 27 + 27 + 27 = 303303 /12 = 25.25Learn more about mean in: https://brainly.com/question/21800892
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1/8 an integer or not
Answer: no
Step-by-step explanation: an integer is a number that is not a fraction or a decimal
Answer:
nope
Step-by-step explanation:
it's a decimal, so by definition, it's not an integer.
I need help please help me o need the answer in 5 minutes I’ll give you brainlest!
Answer:
7b + 29 ≤ -26
Step-by-step explanation:
Given information:
The sum of a number times 7 and 29 is at most -26.
Sum- is referring to Addition ( + )
Times- is referring to Multiplication ( × )
At most - is referring to maximum. The maximum amount that it can get. Which ≤ means less than or equal to which refers to "At Most"
Hence, the inequality is
7b + 29 ≤ -26
RevyBreeze
What is the spread of 2 1 4 3 5 1 1 2 using standard deviation
The spread of the numbers 2, 1, 4, 3, 5, 1, 1, 2 using standard deviation is approximately 1.768.
We must first determine the mean (average) of the numbers in order to use the standard deviation to determine the spread (i.e., variability) of the set of data.
By adding up all the numbers and dividing by the total number of numbers, the mean is calculated:
mean = (2 + 1 + 4 + 3 + 5 + 1 + 1 + 2) / 8
= 19 / 8
≈ 2.375
The difference between each number and the mean is then determined:
2 - 2.375 = -0.375
1 - 2.375 = -1.375
4 - 2.375 = 1.625
3 - 2.375 = 0.625
5 - 2.375 = 2.625
1 - 2.375 = -1.375
1 - 2.375 = -1.375\s2 - 2.375 = -0.375
Then, each of these discrepancies is squared:
(-0.375)^2 = 0.140625
(-1.375)^2 = 1.890625
(1.625)^2 = 2.640625
(0.625)^2 = 0.390625
(2.625)^2 = 6.890625
(-1.375)^2 = 1.890625
(-1.375)^2 = 1.890625
(-0.375)^2 = 0.140625
The variance is then calculated as the average of these squared differences:
variance is equal to 3.125 x (0.0140625 x 1.890625 x 2.640625 x 0.390625 x 6.890625 x 1.890625 x 0.140625).
Lastly, we calculate the standard deviation by taking the square root of the variance:
(3.125) 1.768 is the standard deviation.
As a result, using standard deviation, the range of the digits 2, 1, 4, 3, 5, 1, 1, 2 is almost 1.768.
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The spread οf the numbers 2, 1, 4, 3, 5, 1, 1, 2 using standard deviatiοn is apprοximately 1.768.
How to find the spread of numbers?We must first determine the mean (average) οf the numbers in οrder tο use the standard deviatiοn tο determine the spread (i.e., variability) οf the set οf data.
By adding up all the numbers and dividing by the tοtal number οf numbers, the mean is calculated:
mean = (2 + 1 + 4 + 3 + 5 + 1 + 1 + 2) / 8
= 19 / 8
≈ 2.375
The difference between each number and the mean is then determined:
2 - 2.375 = -0.375
1 - 2.375 = -1.375
4 - 2.375 = 1.625
3 - 2.375 = 0.625
5 - 2.375 = 2.625
1 - 2.375 = -1.375
[tex]1 - 2.375 = -1.375\s2 - 2.375 = -0.375[/tex]
Then, each οf these discrepancies is squared:
(-0.375)² = 0.140625
(-1.375)² = 1.890625
(1.625)² = 2.640625
(0.625)² = 0.390625
(2.625)² = 6.890625
(-1.375)² = 1.890625
(-1.375)² = 1.890625
(-0.375)² = 0.140625
The variance is then calculated as the average οf these squared differences:
variance is equal tο 3.125 x (0.0140625 x 1.890625 x 2.640625 x 0.390625 x 6.890625 x 1.890625 x 0.140625).
Lastly, we calculate the standard deviatiοn by taking the square rοοt οf the variance:
(3.125) 1.768 is the standard deviatiοn.
As a result, using standard deviatiοn, the range οf the digits 2, 1, 4, 3, 5, 1, 1, 2 is almοst 1.768.
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I need help please!! It for geometry
Answer:
Rhombus and Square
Step-by-step explanation:
Perpendicular Diagonals mean that the diagonals intersect each other at a 90 degree angle always.
Rectangles do not intersect at a 90 degree angle, and parallelograms don't ALWAYS intersect at that angle.
However, rhombuses and squares do.
I’ll give BRAINLIEST if correct as well as 5star ratings
Make a graph based on the equation shown in the photo
Answer:
Below
Step-by-step explanation:
The wedge shaped area is ABOVE (greater than) and INCLUDES y = 5x+2 AND ABOVE (greater than ) y= -3x-2
See image below:
Five years have passed and Jamie Lee, 34, is considering taking the plunge--not only is she engaged to be married, but she is also deciding on whether to purchase a new home. Jamie Lee’s cupcake café is a success! It has been open for over a year now and has earned itself rave reviews in the local press and from its regular customers who just cannot get enough of her delicious varieties of cupcakes. One such customer, who stopped by on a whim in the café’s first week of business, is Ross. After a whirlwind courtship, Ross, a self-employed web designer, proposed, and Jamie Lee agreed to be his wife. The bungalow that Jamie Lee has been renting for the past five years is too small for the soon-to-be newlyweds, so Jamie Lee and Ross have purchased a brand new three-bedroom, 2 ½ bath home in a quiet neighborhood for $276,000. Use the provided information and the table below to calculate the affordable mortgage amount that would be suggested by a lending institution based on Jamie Lee and Ross’s income. You will need to make note of the purchase price (above) of their home for future questions. Use the following for Jamie Lee and Ross's calculations: 10% down payment $650 per month for estimated combined property taxes and insurance 5% interest rate for 30 years Refer to Exhibit 7-7 for current mortgage rates
Therefore , the solution of the given problem of interest comes out to be $882.75 monthly affordable mortgage amount recommended by a lending organisation .
What does interest actually mean?To determine simple interest, divide the sum by the cost of borrowing, the amount of time left, and other factors. Principal plus interest plus hours is the straightforward return strategy in marketing. The simplest approach to calculate interest is to use this method. The most popular method of calculating revenue is as a fraction of the principal amount.
Here,
We can use an internet mortgage calculator to determine the affordable monthly mortgage payment. With the provided data, we can determine the monthly mortgage payment to be $1,187.25 using a mortgage calculator.
Assume that Jamie Lee and Ross earn $8,000 per month in gross revenue.
Affordable debt amount
=> $1,837.25 ($8,000 x 0.43)
=> $2,720 - $1,837.25
is an affordable mortgage sum.
=> $882.75 is an affordable mortgage sum.
This indicates that the $882.75 monthly affordable mortgage amount recommended by a lending organisation based on Jamie Lee and Ross's income.
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01
c. Is it possible to rearrange the locations of the
4 plates in the original figure so that (1) their
distance from the center of the table does not
change, (2) their centers remain somewhere on the
rectangle design, and (3) the resulting figure has a
rotational symmetry of order 4? If so, draw the
figure. If not, explain why.
Using the concept of rotational symmetry, the angle of rotation about the center that results in an image that matches the original figure is; Option A: 90
What is rotational symmetry?Rotational symmetry is defined as a process that requires the rotation of a given object about a reference point to produce its image which has the same characteristics. This tells us that its dimensions, measure of internal angles and size do not change except its orientation. The orientation depicts the way in which the object is positioned.
here, we have,
The sum of an angle formed at a point is 360 degrees.
Thus turning a given object about a point implies its rotation with respect to a measured angle.
Thus in the diagram given in the question, the pattern shown divides the angle at the centered point into four equal parts.
Thus;
Angle of rotation = 360/4 = 90 degrees
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please help me with this
The linear function that models the scatter plot is given as follows:
y = 7/8x + 6.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.For the equation in this problem, we have that:
The slope is positive, as when x increases, y increases.The intercept is also positive, as the graph is composed only by positive values.Hence the option that satisfies the sign of the slope and the intercept is given as follows:
y = 7/8x + 6.
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Figure W is a dilation of figure V. Where is the center of dilation located?
A) inside figure V
B)outside figure V
C)on a vertex of figure V
The center of dilation is located inside figure V.
What is Dilation?Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.
Every dilated image are similar figures to the original figure.
Center of dilation is defined as the point which is fixed on a plane. All the points are dilated about this point.
This can be situated inside or outside the preimage and image.
We can find the position of center of dilation by connecting corresponding vertices of the image and preimage and extend the line up to which all the lines intersect.
The intersecting point is the center of dilation.
Using this concept, here, the center of dilation is inside V.
Hence the center of dilation is located inside the figure V.
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