Answer:
-1.2
Step-by-step explanation:
2k+5-7k=8+3
2k-7k+5=11
-5k=11-5
-5k=6
-5k/5=6/5
k=-1.2
Can someone please help me
Answer:
I think it is C
Step-by-step explanation:
Reason being because the question said at least 15 points more so it can't
be 12 equal to 12 points. so you could eliminate the greater than or equal to.
so that leaves c and d. can't see how it is D because if he has 15 points more can't see why his other portion of points could take away 15 so that leaves C.
hope that helps
Periodical Express is a newspaper printing company. They printed 450 copies of The Informer in just 15 seconds! They next need to print 300 copies of the Sport Report.
If they print at the same rate, how many seconds will it take to print the Sport Report?
Answer: To find out how many seconds it will take to print 300 copies of the Sport Report, we can use the formula:
time = (number of copies) / (rate of printing)
We know that the rate of printing for The Informer is 450 copies in 15 seconds. To find the rate of printing per second, we can divide the number of copies by the time in seconds:
rate of printing = 450 / 15 = 30 copies per second
So to find out how long it will take to print 300 copies of the Sport Report, we can use this rate of printing and plug it into the time formula:
time = (number of copies) / (rate of printing)
time = 300 / 30
time = 10 seconds
Therefore, it will take 10 seconds to print 300 copies of the Sport Report at the same rate as The Informer.
Step-by-step explanation:
5.6+12.9=11.3+[]
complete the missing number
Answer: 7.2
Step-by-step explanation: Cuz 5.6+12.9=18.5, 18.5-11.3=7.2
The missing number is 7.2.
We have the following expression.
5.6 + 12.9 = 11.3 + x
We have to find x.
What is a Decimal Number ?Decimal numbers include those numbers which have a whole number and the fractional part separated by a decimal point.
According to the question -
5.6 + 12.9 = 11.3 + x
x = 18.5 11.3 = 7.2
Hence, the missing number is 7.2
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Benjiro and Eren are playing Fortnite. Benjiro had 4 kills in 10 minutes. Eren had
3 kills in 8 minutes. If each player continues at the same rate, who will reach more kills in 40 minutes? How many kills will each player have? Explain you answer. *
Answer:
Benjiro will have more kills because 40 divided by 10 is 4 so 4 times 4 is 16 while 3 times 5 is 15
Step-by-step explanation:
What is the constant in this situation?
a survey of 1021 school-age children was conducted by randomly selecting children from several large urban elementary schools. two of the questions concerned eye and hair color. in the survey, the following codes were used:
a survey of 1021 school-age children was conducted by randomly selecting children from several large urban elementary schools The U.S. Population Census is an example of a census
Census means the procedure of counting, calculating and recording the number and information about the members of the nation's.
Generally, population census are conducted every 10 years although some nations conduct their's every 5 years.
The primary objective of population census is to know the total size of the population of a country.
Population census also enable the government to appropriate resources fairly based on the number of people in a geographical area.
In conclusion, the U.S. population census is the only example of census.
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What is the probability of a magnitude 7.0-7.9 earthquake in the Los Angles area in the next 30 years if the recurrece interval of such an earthquake is 95 years
The probability of a magnitude 7.0-7.9 earthquake occurring in the Los Angeles area in the next 30 years is approximately 0.283, or about 28.3%.
To estimate the probability of a magnitude 7.0-7.9 earthquake in the Los Angeles area in the next 30 years, given a recurrence interval of 95 years, we can use the Poisson distribution. The Poisson distribution is often used to model the occurrence of rare events, such as earthquakes.
Let λ be the average number of earthquakes of magnitude 7.0-7.9 that occur in the Los Angeles area per unit time, which is given by:
λ = 30 years / 95 years = 0.3158 earthquakes per year
Now, let X be the number of earthquakes of magnitude 7.0-7.9 that occur in the Los Angeles area in the next 30 years. X follows a Poisson distribution with mean λ, which can be expressed as:
P(X = k) = (e^(-λ) * λ^k) / k!
where e is the base of the natural logarithm, and k is the number of earthquakes.
To find the probability of at least one earthquake occurring in the next 30 years, we can sum the probabilities of X = 1, 2, 3, ... up to infinity:
P(X ≥ 1) = 1 - P(X = 0) = 1 - e^(-λ) = 1 - e^(-0.3158) ≈ 0.283
Therefore, the probability of earthquake in next 30 years is approximately 0.283, or about 28.3%.
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if the correlation between x and y is equal to -1.0, what do we know about the prediction of y by x?
if the correlation between x and y is equal to -1.0, then we know that the prediction of y by x is perfect
The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
The correlation coefficient, r , gives us information about the strength and direction of a linear relationship between any two variables. (r > 0 is a positive correlation, r < 0 is negative, and |r| closer to 1 means a stronger correlation.
The larger r is in absolute value, the stronger the relationship is between the two variables.
If r is the correlation between two variables x and y then -r is the correlation between y and x
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the unit value of a cubic centimeter is the same as which metric measurement?
Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).
This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.
This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.
The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.
The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.
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A straight road crosses two parallel railway tracks. The angle between the road and the
The first track is 95°. What is the angle between the road and the second track? Why?
[Hint: Draw a pair of parallel lines and a transversal]
=======================================================
Explanation:
I recommend drawing it out to see what's going on. See the drawing below.
In the diagram, both angles are in the northeast corner of their four-corner configurations. They are both congruent corresponding angles. So that's why the second angle is also 95 degrees.
Side note: we could replace "northeast" with any of the other directions on the compass (such as southwest). All that matters is that they are in the same configuration.
Convert the equation
2y + 4x = 10 to y = mx + b form
Show your steps.
I’ll mark as brainiest
Answer:
y=-2x+5
Step-by-step explanation:
Answer:
y=-2x+5
Step-by-step explanation:
First, subtract 4x from both sides. You will get 2y=-4x+10. Then divide both sides by 2 to isolate the y. You will get y=-2x+5.
What is an advantage of using a stem-and-leaf plot instead of a histogram? What is a disadvantage? O A. Stem-and-leaf plots show data clusters where histograms do not O B. Stem-and-leaf plots contain original data values where histograms do not. O C. Stem-and-leaf plots.easily organize data of all sizes where histograms do not O D. Stem-and-leaf plots graph qualitative data where histograms do not.
Stem-and-leaf plots contain original data values where histograms do not. Therefore, option B is the correct answer.
What is stem and leaf?The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.
The advantage of a stem leaf diagram is it gives a concise representation of data. The advantage of a frequency histogram is, that it is visually strong. Histograms are usually preferable to stem and leaf diagrams in large data sets. The disadvantage of a stem leaf diagram is not visual.
Therefore, option B is the correct answer.
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Translating verbal expression: the sum of 15 and a number x.
Answer:
x+15 or 15+x
Step-by-step explanation:
it doesn't really matter since the commutative property.
sum = addition
15 = one term
number x = second term
The Leonardo sisters own and operate their own ghost trip business. They take trip groups around town on a bus to visit the most notorious haunted spots throughout the city. They charge 100 dollars per trip. Each summer they book 200 trips at that price. They considered a decrease in the price per trip because it will help them to book more trips. The estimated gain is 10 trips for every 1 dollar decrease on the price per trip.
Note that the revenue is the number of trips multiplied by the price per trip.
a. Let x represent the change in the price per trip, write an expression to represent the number of trips booked if the decrease in price is x dollars per rate.
b. Write an expression to represent the price per trip if the two sisters decrease the x dollars per trip.
A. Number of trips booked if the decrease in price is x dollars per rate is 200 trips. and B. If they decrease the price by x dollars, the new price per trip will be $100 - x.
a. The expression to represent the number of trips booked if the decrease in price is x dollars per rate is:
(200 + 10x)
This is because for every 1 dollar decrease in the price per trip, they can book an additional 10 trips. So, if they decrease the price by x dollars, they will be able to book 10x more trips in addition to the original 200 trips.
b. The expression to represent the price per trip if the two sisters decrease the x dollars per trip is:
(100 - x)
This is because the original price per trip was $100. If they decrease the price by x dollars, the new price per trip will be $100 - x.
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D
114°
A
в
56°
C
HURRRRRYYY PLEASEEEE
The calculated value of the angle x is 58 degrees
How to calculate the value of xfrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the sum of opposite external angles, we have the following equation
114 = 56 + x
When the like terms are evaluated, we have
x = 114 - 56
Evaluate
x = 58
Hence, the value of x is 58
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A prestigious program accepts 2 out of every 9 applicants per yer. If the program accepted 360 applicants, how many applicants were NOT accepted?
A.1260
B.1620
C.2520
D.3240
E.3600
What did you include in your response? check all that apply. an intercept can be found by letting d = 0 in the equation and solving for q, or by letting q = 0 in the equation and solving for d. the bank could be filled with 54 quarters and no dimes. the bank could be filled with no quarters and 135 dimes.
Answer:
if this is on edge just choose all of them
A management consulting firm recommends that the ratio of middle-management salaries to management trainee salaries be 8:7. Using this recommendation, what is the annual middle-management salary if the annual management trainee salary is $17,000? (Round your answer to the nearest dollar.)
The management salary is $19,429
What is ratio?
Ratio is the quantitative relationship between two numbers which shows the number of times an amount or a number is contained within the other amount or number.
In this case, a ratio of 8:7 shows the number of times the management salaries is contained within the management trainee salary
The management salary has a value of 8 whereas the management trainee salary has a value of 7 as shown below:
salary ratio=management salary/management trainee salary
salary ratio=8/7
management salary=unknown(assume it is X)
management trainee salary=$17,000
8/7=X/$17,000
cross multiply
8*$17,000=7*X
X=8*$17,000/7
X=$19,429
The fact that annual management trainee salary is $17,000 means that the management salary is $19,429 annually.
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A path 1 m wide is build around a garden that is a 30-meter square. What is the area taken by the path?
Answer:
Blue = 116 m^2
Step-by-step explanation:
The area of the path and the square = 30*30 = 900 m^2
The size of the square = 30 - 2 = 28. The square = 28^2 = 784
The path takes up the difference between the two 900 - 784 = 116
Using Laplace Transforms, find the solution of the initial value problem: d²y +9y =9. sin(t). U(t - 3), = y(0) = y'(0) = 0 dx²
The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.
To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:
Take the Laplace transform of the given differential equation.
Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:
s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:
s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Solve for Y(s).
Combining like terms, we have:
Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))
Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:
Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)
Simplifying further, we have:
Y(s) * (s⁴ + 10s² + 9) = 9s² + 9
Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)
Partial fraction decomposition.
To proceed, we need to decompose the right side of the equation using partial fraction decomposition:
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)
Multiplying through by (s⁴ + 10s² + 9), we have:
9s² + 9 = A(s² + 9) + B(s² + 1)
Equating the coefficients of like powers of s, we get:
9 = 9A + B
0 = A + B
Solving these equations, we find:
A = 0
B = 0
Therefore, the decomposition becomes:
Y(s) = 0/(s² + 1) + 0/(s² + 9)
Inverse Laplace transform.
Taking the inverse Laplace transform of the decomposed terms, we find:
L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}
The inverse Laplace transform of 0/(s² + 1) is 0.
The inverse Laplace transform of 0/(s² + 9) is 0.
Combining these terms, we have:
Y(x) = 0 + 0
Therefore, the solution to the initial value problem is:
y(x) = 0
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you can do minutes as well.
The distance traveled in 25 minutes is 32.34 miles.
How far did i travel in 25 minutes?
Remember the relation:
distance = speed*time
Here we know that speed = 77mi/h
And the time is 25 min, but we should write this in hours, remember that:
1 hour = 60 min
then:
25 min = (25/60) h = 0.42 hours.
Then the distance is:
D = (77 mi/h)*0.42h = 32.34 miles.
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Select the equation that most accurately depicts the word problem. The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
68 = 9L + 2
68 = L/2 + 2(9)
68 = 2/L + 2/9
68 = 9(L + 2)
68 = 2L + 2(9)
68 = 2(L - 9)
Answer:
68 = 2L + 2(9)
Step-by-step explanation:
Just write down exactly what it says!
The perimeter of a rectangle is 68 inches
68
The perimeter equals twice the length of L inches
68 = (2 × L)
Plus twice the width of 9 inches.
68 = (2 × L) + (2 × 9)
Now just clean up the equation.
68 = 2L + (2 × 9)
68 = 2L + 2(9)
The answer is 68 = 2L + 2(9).
Frank bought 17 boxes of cereal. This is 20% of the total boxes at the store. How many total boxes of cereal were at the store?
Answer:
85 boxes at the store becuase 17 is 20 percent of 85
How many sides does a rectangular pyramid
Answer:
Step-by-step explanation:
A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.
≧◉◡◉≦
extended Response
1. The weights of grapefruits, 0, of a certain variety are approximately Normally
distributed with a mean of 1 pound and a standard deviation of 0.12 pounds.
a. Let 7-36. Find the mean and standard deviation of 7.
b. Let R= G+G+G. Find the mean and standard deviation of R.
c. Let Q=T-R. Find the mean and standard deviation of Q.
The mean weight of 7 grapefruits will be 7 pounds and the standard deviation will be 0.84 pounds.
The mean weight of R will be 3 pounds and the standard deviation will be 0.36 pounds.
The mean weight of Q will be 4 pounds and the standard deviation will be 0.48 pounds.
What is the mean and standard deviation?a. The mean and standard deviation of 7 grapefruits will be 7 times the mean and standard deviation of a single grapefruit, respectively.
b. If G represents the weight of a single grapefruit, then
R = G + G + G
= 3G.
The mean and standard deviation of R will therefore be 3 times the mean and standard deviation of a single grapefruit, respectively.
c. If T represents the total weight of all 7 grapefruits, then
Q = T - R
= 7G - 3G
= 4G.
The mean and standard deviation of Q will be 4 times the mean and standard deviation of a single grapefruit, respectively.
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4. In the square-based pyramid, V is vertically above the middle
of the base, AB = 10 cm and VC = 20 cm. Find:
a) AC
b) the height of the pyramid
when
c) the angle between VC and the base ABCD
d) the angle AVB
e) the angle AVC
The length of AC is 5√17 cm. The height of the pyramid is 5√5 cm. The angle between VC and the base ABCD is approximately 25.84°.The angle AVB is approximately 29.9°The angle AVC is approximately 32.5°.
Given information:
In the square-based pyramid, V is vertically above the middle of the base, AB = 10 cm and VC = 20 cm.
There are different parts to the problem statement, which will be addressed one by one.
Let's begin with the first part of the problem statement.
a) AC we have a square pyramid where the vertex is directly above the center of the square.
Given that the distance VC is 20cm and AB is 10cm, let's consider the right-angled triangle ACD.
We can use the Pythagorean theorem to find the length of AC,AC² = AD² + DC²AC² = (AB/2)² + VC²AC² = (10/2)² + 20²AC² = 25 + 400AC = √425AC = 5√17 cm.
b) Height of the pyramid we can calculate the height of the pyramid by finding the length of the line AV.
Since the vertex V is vertically above the center of the square base, the height and the line from the center of the base to V are perpendicular.
The height of the pyramid is the length of AV.
We can use the right-angled triangle AVD to find the length of
AV,AV² = AD² + DV²AV² = AD² + (VC - DC)²AV² = (AB/2)² + (VC - DC)²AV² = 25 + 10²AV² = 25 + 100AV² = 125AV = √125 cm = 5√5 cm)
(c) Angle between VC and the base ABCD we can find the angle between VC and the base ABCD by using the right-angled triangle ACD that we considered in part (a) of this problem statement.
The angle between VC and AC can be calculated as follows :tan θ = DC/ADθ = tan⁻¹(DC/AD)Since AC = 5√17 cm, we can find the length of DC by subtracting 10/2 from AC,DC = AC - 5DC = 5(√17 - 1) cm.
Therefore,θ = tan⁻¹(DC/AD)θ = tan⁻¹((5(√17 - 1))/10)θ = 25.84° (nearest degree).
d) Angle AVB we can find the angle AVB by considering the right-angled triangle ABV, cos θ = AB/AVθ = cos⁻¹(AB/AV)θ = cos⁻¹(10/(5√5))θ = 29.9° (nearest degree).
e) Angle AVC we can find the angle AVC by considering the right-angled triangle AVD,cos θ = DV/AVθ = cos⁻¹(DV/AV)DV = VC - DC = 5(√17 - 1) cos θ = (5(√17 - 1))/√125θ = cos⁻¹((5(√17 - 1))/√125)θ = 32.5° (nearest degree) .
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Suppose GRE Analytical Writing scores are normally distributed with a mean of 3.8 and a standard deviation of 0.8. A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission
The minimum score required for admission to the university is 3.6.
To find the minimum score required for admission to the university, we need to determine the GRE score that corresponds to the 40th percentile of the distribution.
First, we need to find the z-score that corresponds to the 40th percentile. We can use a standard normal distribution table or a calculator to find this value.
Using a standard normal distribution table, we can look up the z-score that corresponds to a cumulative area of 0.40, which is approximately 0.25.
The z-score corresponding to a cumulative area of 0.25 is -0.25.
Next, we can use the formula for transforming a z-score to a raw score:
z = (x - mu) / sigma
where:
z is the z-score (-0.25 in this case)
x is the raw score we want to find
mu is the mean of the distribution (3.8 in this case)
sigma is the standard deviation of the distribution (0.8 in this case)
Solving for x, we get:
\(x = z\times sigma + \mu\)
\(x = (-0.25)\times 0.8 + 3.8\)
x = 3.6.
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E probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of _____________.
The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."
What is null hypothesis?A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.
Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."
Some key features regarding null hypothesis are-
A null hypothesis is a statistical conjecture that claims there is no variation between particular qualities of a population and data-generating process.The alternate hypothesis asserts the existence of a distinction.Hypothesis testing allows you to reject the null hypothesis with a particular level of confidence.If the null hypothesis can be rejected, it lends support to the alternative hypothesis.The notion of falsity in science is founded on null hypothesis testing.To know more about null hypothesis, here
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Which day did Walker read the fastest?
a) Day 1 - 20 pages in 35 minutes
b) Day 2 - 80 pages in 15 minutes
c) 46 pages in 65 minutes
d) 35 pages in 26 minutes
Show your work
Answer:
B.
Step-by-step explanation:
Divide ( x number of pages) by (x number of minutes) for all answers.
Day 1: 20 divided by 35= around 0.57 pg per minute
Day 2: 80 divided by 15= 5.3 pg per minute
Day 3: 46 divided by 65= around 0.70 pg per minute
Day 4: 35 divided by 26= 1.34 pg per minute.
Therefore, B is your answer!
Crown me brainliest pls!
What are the
coordinates of
the outlier in the
scatterplot
shown?
Answer:
6,4
Step-by-step explanation:
F is the whole way out there, away from all the other dots and has a 6,4 coordinate.