287 centimeters is 112.992 inches
Answer:
112.992
Step-by-step explanation:
divide the length value by 2.54.
The problem C(x)=25x+50 represents the labor coat in dollars for quick cedar to build a deck where x is the number of hours of labor
Answer: 18.6 or 93/5
Step-by-step explanation:
See attached picture
jayden made a scale drawing of a house and its lot. the back patio, which is 8 meters wide in real life, is 6 centimeters wide in the drawing. what is the drawing's scale factor? simplify your answer and write it as a fraction.
The scale factor of Jayden's drawing is 400/3, which means that every unit of measurement in the drawing represents 1/400th of a unit in real life.
The scale factor of Jayden's drawing can be determined by dividing the real-life width of the back patio by its width in the drawing. In this case, the real-life width is 8 meters, while the width in the drawing is 6 centimeters. To make the units consistent, we need to convert meters to centimeters by multiplying by 100.
Thus, the real-life width of the back patio is 8 meters × 100 centimeters/meter = 800 centimeters. Dividing this by the width of the patio in the drawing (6 centimeters) gives us the scale factor:
Scale factor = 800/6 = 133.33
However, this is not a simplified fraction, so we need to divide both the numerator and denominator by their greatest common factor (GCF), which is 2 in this case. Dividing by 2 gives us:
Scale factor = 400/3
So the scale factor of Jayden's drawing is 400/3, which means that every unit of measurement in the drawing represents 1/400th of a unit in real life.
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When Aidan had his picture taken, the photographer charged a $10 sitting fee and $6 for each sheet of pictures purchased.Using "s" for the number of sheets of pictures, write and equation IN FUNCTION NOTATION to represent this situation
Answer:
C(s) = 10 + 6s
Step-by-step explanation:
Equation for the total cost:
C(s) = C(0) + as
In which C(0) is the flat fee and a is the fee per sheet.
In this question:
$10 sitting fee, so C(0) = 10
$6 for each sheet, so a = 6.
Then
C(s) = 10 + 6s
What minimum coefficient of static friction must exist between your feet and the floor if you are not to slide?
Answer:
Step-by-step explanation:
Acceleration = (0.2 x g) = 1.96m/sec^2.
Accelerating force on 1kg. = (ma) = 1.96N.
1kg. has a weight (normal force) of 9.8N.
Coefficient µ = 1.96/9.8 = 0.2 minimum.
example, 75kg = (75 x g) = 735N.
Accelerating force = (735 x 0.2) = 147N
Brian flips a fair coin 3 times. What is the probability of getting exactly 1 tail?
Answer:
3/8
Step-by-step explanation:
there is 3 possible ways to get 1 tail
thh
hht
hth
each has a probability of 1/8
so you add up 1/8+1/8+1/8=3/8
what is the condition for the first dark fringe through a single slit of width w?
The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).
This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2
Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.
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Which equation justifies why seven to the one-third power equals the cube root of seven?
\(7^1/3 = \sqrt[3]{7}\)
Answer:
Third one
Step-by-step explanation:
The only equation that is even true is the third one.
If the cube of a number is x, then cube root of x is that number.
So the cube of 7^(1/3) is (7^(1/3))^3.
By law of exponents, we have (7^(1/3))^3=7^(1/3×3)=7^1=7.
So the cube of 7^(1/3) is 7, so the cube root of 7 is 7^(1/3).
Vhat would be the value of $100 after 10 years if you earn 11 percent interest per year?
Answer:
about $283.94
Step-by-step explanation:
P= $100
t= 10 years
r = 11%/ year = 0.11/year
A = P ( 1+ r) ^t
A = 100(1+0.11) ^10
A = 100* 1.11^10
A ≈ $283.94
28. An aquarium is 7 feet long, 4 feet wide, and 4.8 feet deep. What is the volume of the tank?
Answer:
V =134.4 ft^3
Step-by-step explanation:
Volume is
V = l*w*h
V = 7*4*4.8
V =134.4 ft^3
In one experiment, participants were asked to list either 6 or 12 instances in their lives when they were assertive. Which of the following statements in NOT true about the participants who were asked to list only 6 instances?a) Overall, they rated themselves as less aggressive.
b) They had an easier time fulfilling the task.
c) They relied on the availability heuristic when making their decision.
d) They were given an easier task than the 12-instance participants.
Participants in an experiment were asked to list either 6 or 12 instances in their lives when they were assertive. It is not true that participants who were asked to list only 6 instances relied on the availability heuristic when making their decision.
The availability heuristic is a cognitive shortcut where people make judgments based on the ease with which examples come to mind. In the context of the experiment, participants who relied on the availability heuristic would have listed assertive instances that were more recent or emotionally charged.
However, the statement "They relied on the availability heuristic when making their decision" is not true about the participants who were asked to list only 6 instances. The other statements are all true. Participants who listed only 6 instances rated themselves as less aggressive overall and had an easier time fulfilling the task compared to those who listed 12 instances. Therefore, they were given an easier task than the 12-instance participants.
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true or false: in a group of fifty (50) people, there must be at least 5 people who were born in the same month. true false
The given statement "in a group of fifty (50) people, there must be at least 5 people who were born in the same month." is True because this statement can be proven using the Pigeonhole Principle.
The Pigeonhole Principle states that if there are n items and m containers (where n > m), at least one container must hold more than one item.
In this case, the 50 people are the items, and the 12 months of the year are the containers. We can divide the people into groups based on their birth month. Since there are more people (50) than months (12), at least one month must have more than one person born in it.
To find the minimum number of people born in the same month, divide the number of people by the number of months: 50 / 12 ≈ 4.17. Since we cannot have a fraction of a person, we round up to the nearest whole number, which is 5.
Therefore, in a group of 50 people, there must be at least 5 people who were born in the same month.
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identify the slope of a line with run -16 and rise 4
Answer:
The slope is
11 − 2 or − 5.5 .
Step-by-step explanation:
To find the slope given two points, we use the formula
rise
run
, or
y
2
−
y
1
x
2
−
x
1
.
Plug in the given points into the formula:
5
−
(
−
6
)
4
−
6
=
11
−
2
Therefore, the slope is
11
−
2
or
−
5.5
.
Hope this helps!
find x. show your work.
This net folds into the cube shown beside it. Which letters will be on the front and top?
Answer:
f
and
c
the top is f and front is c
Step-by-step explanation:
f and c
E and C
Step-by-step explanation:
E on the front
C on the top
I hope it helps
Tim’s mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of unleaded gasoline. What is the constant of proportionality that relates the cost in dollars, y, to the number gallons of unleaded gasoline, x?
The constant of proportionality that relates the cost in 72 dollars as y, to the number of gallons of unleaded gasoline in 22.5 gallons of unleaded gasoline as x is $3.20 per gallon of unleaded gasoline.
The constant of proportionality is the ratio of the so-called proportional relationship that relates two given values to each other.
Other names for the constant of proportionality are constant ratio, constant rate, unit rate, variable constant, and even rate of change.
The relationship between two variables, X and Y, is directly proportional if it can be expressed in terms of Y/X = k or Y = Xk.
y/x = k
k is the constant of proportionality.
Given that:
y = $72 and x = 22.5 gallons.
So, the value of the constant of proportionality (k) = 72/22.5
=> k = 720/225
Dividing both by the numerator and denominator by 45. We get,
=> k = 16/5
The value of the constant of proportionality (k) = $3.20 per gallon of unleaded gasoline.
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what is limit definition of a derivative?
The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.
The limit definition of a derivative is expressed as follows:
\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)
Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.
The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.
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2 fair dice are rolled and the sum is observed. compute: a) p(rolling a sum which is a multiple of 3 given that doubles are rolled) b) p(rolling doubles given that the sum rolled is a multiple of 4)
a.)The probability of getting a sum which is a multiple of 3 = 1/3
b.)The probability of getting a sum which is a multiple of 4 = 1/4
How to calculate the probability of a given event?To calculate the probability of the given event, the formula that should be used is given as follows;
Probability = possible event/sample space.
For a.)
sample space = 36
possible event = 12
probability = 12/36 = 1/3
For b.)
sample space = 36
possible event = 9
probability = 9/36 = 1/4
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the graph represents the number of different tacos ordered for an office lunch. in total, how many tacos were ordered?
Answer:
do you have the graph to solve it?
If f(x) = x3, what is the equation of the graphed function?
The purpose of statistical inference is to make estimates or draw conclusions about a.
When we make estimates of or draw conclusions about one or more characteristics of a population based upon the sample, we are using the process of statistical inference.
To estimate this sample to sample variance or uncertainty is the goal of statistical inference.What is the purpose of statistical inferences ?
To be able to make inferences about a population based on data from a sample is the goal of statistical inference. The process of statistical inference involves selecting a sample, gathering data from that sample, calculating a statistic from the data, and drawing conclusions about the population from that statistic.How is statistical inference used to draw conclusions?
Estimation and hypothesis testing are components of statistical inference (evaluating a notion about a population using a sample) (estimating the value or potential range of values of some characteristic of the population based on that of a sample).
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the coefficient of determination resulting from a particular regression analysis was 0.85. what was the slope of the regression line?
The slope of the regression line is 0.922. Option C is correct.
The coefficient of determination (R-squared) is defined as the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a linear regression model. It can be calculated as the square of the correlation coefficient (r) between the dependent and independent variables.
If we assume a simple linear regression model with a single independent variable (x) and a single dependent variable (y), the slope of the regression line (b) can be calculated as:
b = r * (Sy / Sx)
where r is the correlation coefficient between x and y, Sy is the standard deviation of y, and Sx is the standard deviation of x.
If the coefficient of determination is 0.85, then the correlation coefficient is the square root of 0.85, which is approximately 0.922. Assuming the standard deviations of x and y are known, we could use the formula above to calculate the slope of the regression line as:
b = 0.922 * (Sy / Sx)
Therefore, 0.922, could be the slope of the regression line in this case, if the assumptions of a simple linear regression model with known standard deviations are met. Option C is correct.
The complete question is
The coefficient of determination resulting from a particular regression analysis was 0.85. What was the slope of the regression line?
a. 0.85
b. -0.85
c. 0.922
d. There is insufficient information to answer the question.
e. None of the above
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the student council sold $661$ t-shirts, some at $\$10$ and some at $\$12$. when recording the number of t-shirts they had sold at each of the two prices, they reversed the amounts. they thought they made $\$378$ more than they really did. how many t-shirts actually were sold at $\$10$ per shirt?
The student council sold $273$ t-shirts were sold at $\$10$ per shirt.
Let $x$ be the number of shirts sold at $\$10$
Let $y$ be the number of shirts sold at $\$12$
$x+y=661$
$10x+12y=3780$
$x=y+101$
$10y+12y=3780$
$22y=3780$
$y=172$
$x=172+101$
$x=273$
Hence $273$ t-shirts were sold at $\$10$ per shirt.
If they sold $661$ t-shirts in total, and they made a mistake when recording the amount of t-shirts sold at each price, then they actually sold more t-shirts at $\$10$ than they thought. This means that they thought they sold fewer t-shirts at $\$10$ than they actually did.
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Find the equation of this line
Answer:
y=4x-9
Step-by-step explanation:
-9=y intercept
up 4 over 1
4/1=4
slope =4
Rebekah performed an experiment with a standard number cube. She rolled the cube and recorded the results in the frequency table. The frequency table is given below. Find the experimental probability of the cube landing on three.
Answer:
Step-by-step explanation:
The experimental probability of the cube landing on three is 1/10.
Which of the following are compound events? Check all that apply.
A. drawing an ace and then a king from a deck of cards
B.drawing a red card from a deck of cards
C.rolling a 1 on a number cube and then tossing a coin and landing on tails
D.choosing a banana, then an apple, and then an orange from a fruit basket
E.choosing a dime from a piggy bank
Answer:
A, C and D
Step-by-step explanation:
In this question, we are asked to select which of the options is/are example(s) of compound event(s)
The easiest way to answer this is to have an idea of what we mean by a compound event. When we talk about a compound event, we are referring to an event that has more than one outcome. This is a direct contrast to a simple event where we have only one outcome. To find the probability of a compound event, we shall need to add up the probabilities of all the single events that lies there in
In answering this question, we shall be considering the options one after the other.
A. It is a compound event
This is because we are looking at more than one event happening
B. It is not a compound event
It is not a compound event as we have only one outcome
C. This is a compound event
We have more than one outcome here. In fact, we are dealing with more than one sample space here
D. It is a compound event
We are working on different simple events here
E. It is not a compound event
It is not because we are only focused on a particular type of outcome
Answer:
A, C, D
A: drawing an ace and then a king from a deck of cards
C: rolling a 1 on a number cube and then tossing a coin and landing on tails
D: choosing a banana, then an apple, and then an orange from a fruit basket
Step-by-step explanation:
just did it on edge 2020 hope it helps
:)
A plane is on its approach to land on the runway. The jet’s height above the ground is given in feet as a function of the time in seconds. The following table tracks the plane as it lands. t (in seconds) h (in feet) 0 4000 5 3500 10 3000 15 2500 20 2000 25 1500. Determine where the graph crosses the h-axis. Then write the equation in slope-intercept form. a. (4000, 0); h = negative 100 t + 4000 b. (0, 4000); h = negative 100 t + 4000 c. (0, 4000); h = negative 4000 t + 100 d. (100, 0); h = 4000 t minus 100
Answer:
Step-by-step explanation:
This is a linear function because for every 5 seconds that pass, the height of the plane drops 500 feet, or -500 to be exact. So that's the slope of the line. If we look at the table we can determine where the graph goes through the h axis. The h axis is the y axis, and the t axis is the x axis. So where the graph goes through the h axis is also the y-intercept. If your teacher is any good at all, he/she would make sure that you understand beyond a shadow of a doubt that the y-intercept exists where x = 0. Looking at the table, where x (t) is 0, y (h) is 4000 feet.
Writing the linear equation then is super easy. In the form y = mx + b, we already know both the slope (-100) and the y-intercept (4000), so we fill in accordingly:
h = -100t + 4000 which appears to be choice a.
Answer:
a
Step-by-step explanation:
i took the quiz and got it right :)
The
base of the boat at sea level makes a 15° angle with the tip of the
lighthouse. If the top of the lighthouse is 110 meters above sea level, how
far out to sea is the boat, to the nearest tenth of a meter?
The boat is 410.49 meters out to sea, to the nearest tenth of a meter.
To find the distance of the boat from the lighthouse, we can use trigonometry. Let's denote the distance from the boat to the base of the lighthouse as x.
We have a right triangle formed by the height of the lighthouse (110 meters), the distance from the boat to the lighthouse (x), and the line connecting the base of the boat to the top of the lighthouse. The angle between the horizontal line and this line is 15 degrees.
In a right triangle, the tangent function relates the opposite side to the adjacent side. In this case, the opposite side is the height of the lighthouse (110 meters), and the adjacent side is the distance from the boat to the lighthouse (x). Therefore, we can write:
tan(15°) = opposite/adjacent
tan(15°) = 110/
To solve for x, we can rearrange the equation:
x = 110 / tan(15°)
Using a calculator, we can find the value of tan(15°) to be approximately 0.26795. Plugging this into the equation, we have:
x = 110 / 0.26795
x ≈ 410.49 meters
Therefore, the boat is approximately 410.49 meters out to sea, to the nearest tenth of a meter.
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Funky Fro-Yo
The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in
the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes
you can fill your cup with yogurt and toppings for $0.40 per ounce.
1. Write an equation that gives the total cost in dollars, d, of attending the event if you
order z ounces of fro-yo.
2. If your cup weighs 14 ounces, how much would you pay in total for the evening?
1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z
2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.
Define equation.A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.
Given,
The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.
1) Total cost = d
Total ounces = z
Equation
d = $5 + $0.40z
2) If cup weighs 14 ounces
d = $5 + 0.40(14)
d = $5 + $5.6
Total cost:
d = $10.6
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Find the volume of compostie figure
Step-by-step explanation:
The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.
Hope that helps :)
What is the difference between the highest and lowest points in a data set?
the mean
the median
the mode
the range
Answer:
range
Step-by-step explanation:
difference between the highest and lowest points in a data set = range
The mean is the average of all the points
The median is the middle of all the points
The mode is the point the appears the most often
"Hey diddle diddle the medians the middle you add and divide for the mean the mode is the one that you see the most and the range is the difference between"
Online song that's helped me remember the difference between median, mode, mean and range for years!