Answer: a) 300000 b) 200 c) 20000
Step-by-step explanation:
Round so that there is only 1 sig. fig. in the answer
a) 300000 (rounded up to 300,000 not 280,000 as there would be 2 sig figs, 2 and 8)
b) 200 (rounded down)
c) 20000 (rounded up to 20,000 not 18,000 as there would be 2 sig figs, 1 and 8)
The trailing zeroes do not count as sig. figs. so the above answers all have only one sig. fig.
After running for 5/6 of an hour, Konnor is 1/3 of the way through his run. How long will it take Konnor to finish his run if he continues at the same pace?
Answer:
2.5 hours
Step-by-step explanation:
We need to find the rate at which Konnor runs. So his speed = distance/time.
Let x be his total distance. The distance covered in 5/6 of an hour is x/3. So, his speed is x/3 ÷ 5/6 = x/3 × 6/5 = 2x/5
Now, the rest of the distance left to cover is 1 - 1/3 = 2/3. So, the remaining distance is 2x/3.
The time required to cover this distance is t = 2x/3 ÷ speed = 2x/3 ÷ 2x/5 = 2x/3 × 5/2x = 5/3 of an hour.
So, the total time required for Konnor to complete his run is 5/6 + 5/3 of an hour = 5/6 + 5/3
= (5 + 10)/6
= 15/6
= 5/2 of an hour
= 2.5 hours
Find the magnitude of →/u.
→/u = (-4,-5).
Enter an exact answer as an expression with a square root symbol or enter an approximate answer as a decimal rounded to the nearest hundredth
The magnitude of a vector can be calculated using the Pythagorean theorem, which states that the magnitude is equal to the square root of the sum of the squares of its components. In this case, the vector →/u is given as (-4, -5), representing the x and y components respectively. By applying the Pythagorean theorem, we can determine the magnitude of →/u.
The magnitude (|→/u|) of a vector →/u = (x, y) can be calculated using the formula:
|→/u| = sqrt(x^2 + y^2)
In this case, →/u is given as (-4, -5), so the magnitude is:
|→/u| = sqrt((-4)^2 + (-5)^2)
Simplifying the equation:
|→/u| = sqrt(16 + 25)
|→/u| = sqrt(41)
Calculating the square root of 41, we find that the magnitude of →/u is approximately 6.40 rounded to the nearest hundredth. Therefore, |→/u| ≈ 6.40.
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Peter also earns a certain amount per hour. The table shows the amount of money, in dollars, he earns in a given number of hours. Write the linear equation for this situation, where y represents the money earned, in dollars, and x represents the number of hours worked.
Time (hours) Money Earned (dollars)
4 44
8 88
12 132
Lena is competing in a 400 m race. she runs at a constant speed of 4.7 m/s for the first 150 m, then 4.1 m/s for 30 seconds. the remainder of the race takes her 42 seconds to complete. what is lena's average speed for the entire race to 1 dp?
Lena's average speed for the entire race is 3.8 m/s
In this question we have been given that Lena is competing in a 400 m race. she runs at a constant speed of 4.7 m/s for the first 150 m, then 4.1 m/s for 30 seconds.
The remainder of the race takes her 42 seconds to complete.
We need to find Lena's average speed for the entire race.
We know that the formula of speed.
speed = distane/time
time = distance/speed
So, the time for first 150 m would be
time = (150 m)/(4.7 m/s)
= 31.915 s
Lena's average speed would be,
A = total distance/total time
= (400 m)/(31.915 s + 30 s + 42 s)
= (400 m)/(103.915 s)
≈ 3.8 m/s
Hence, the Lena's average speed for the entire race is, 3.8 m/s
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show that the area of the rectangle ABCD is 3 route 5 cm
Answer:
Please see the attached picture for the full solution.
What is binomial formula in mathematics?
Binomial is the name for an algebraic expression with only two terms. In mathematics the formula for a binomial is axᵐ + bxⁿ.
What is a binomial?
Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form.
A binomial is a two-term algebraic expression that includes a constant, exponents, a variable, and a coefficient.
A binomial can be written as a single indeterminate as follows -
axᵐ + bxⁿ
Where m and n are non-negative distinct integers and a and b are the numbers. X can be a variable or be indefinite.
Binomials are stated in the same way in Laurent polynomials; the main distinction is that m and n may have negative exponents. Consequently, they are expressed as -
ax⁻ᵐ + bx⁻ⁿ
An example of a binomial polynomial is x² + 4x.
Therefore, binomial formula is axᵐ + bxⁿ.
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I have the answers I just need someone to work it out I’ll mark as brainlesttt
Answer:
Look Below
Step-by-step explanation:
The formula for a circle is πr².
Therefore, we can divide the area of the circle by 3.14, and then square root it. 490.63/3.14=156.25... If you square root that, you get 12.5. Same thing with the other circle. 219.45/3.14=69.888... If you square root that, you get 8.36. Now that we have the radius, we can multiply that by two to find the diameter. And we're done.
Feel free to tell me if I did anything wrong! :)
A number is chosen at random from 1 to 10. Find the probability of selecting a 6 or greater.
Answer:
1/2
Step-by-step explanation:
p(event) = (number of desired outcomes)/(total number of outcomes)
How many different outcomes are there? You can choose 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, so the total number of possible outcomes is 10.
How many outcomes are desired. The desired outcomes are any outcomes with a number 6 or higher. Which numbers are 6 or higher? 6, 7, 8, 9, 10. There are 5 outcomes that are 6 or higher, so there are 5 desired outcomes.
p(event) = (number of desired outcomes)/(total number of outcomes)
p(event) = 5/10 = 1/2
Answer: 1/2
a large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. twenty-five job applicants are randomly selected from one large university and they produce a mean score and standard deviation of 183 and 12, respectively. use a 0.05 level og significance to test the claim that this sample comes from a population with a mean score greater than 160. use the P-value method of testing hypotheses.
Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.
First, we calculate the test statistic, which is the t-value. The formula for the t-value is:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
Plugging in the given values, we have:
t = (183 - 160) / (12 / √(25))
= 23 / (12 / 5)
= 23 * (5 / 12)
≈ 9.58
Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.
Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).
Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
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select all that apply. the study did not randomly assign treatments the difference of 0.4 miles per week could be too small to attribute to the tummeric and might just be due to random chance. the study was not large enough this is an experiment, thus it does show causation the study is observational and lacks control of too many lurking variables the study should be replciated with other populations
The statement that is true is "the study is observational and lacks control of too many lurking variables" and "the study should be replicated with other populations."Here are the reasons why:
The study is observational and lacks control of too many lurking variables:
This statement is true since the study was done with people who used turmeric in the meals they consume. There are a lot of things that could affect the difference in mileage walked by the turmeric users compared to those who do not consume it. For instance, the intensity of exercise, lifestyle, and overall diet could have been contributing factors. Thus, there is no guarantee that turmeric is solely responsible for the difference in miles walked.
The study should be replicated with other populations:
This statement is true since the study was carried out with a small sample size and in one geographic location. This means that there is a possibility that the results were just unique to that region. Replicating the study in a different location would help to establish the generalizability of the results and whether or not they are consistent across populations.
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x^2 + y^2 + 8x - 6y - 15 = 0
complete the square
The completed square form of the given equation is:
(x + 4)^2 + (y - 3)^2 = 40.
How to complete the square for the given equationFirst to complete the square for the given equation:
x^2 + y^2 + 8x - 6y - 15 = 0
We need to group the x and y terms together and add and subtract some constants to make them into perfect squares.
x^2 + 8x + y^2 - 6y = 15
We can add and subtract constants inside the left side of the equation to make it into perfect squares, as follows:
x^2 + 8x + 16 + y^2 - 6y + 9 = 15 + 16 + 9
Now we can rewrite the left side of the equation as a sum of perfect squares:
(x + 4)^2 + (y - 3)^2 = 40
Therefore, the completed square form of the given equation is:
(x + 4)^2 + (y - 3)^2 = 40.
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The graph below represents cans collected for a food drive at willowdale middle
Answer:
voce n colocou as latas
Step-by-step explanation:
nao da para saber
descupa
Answer:
dude please end the graph so that I can help you with my answer.
I need help with this problem ASAP please i have until tmrw to finish my course entirely so if anyone can help it would be greatly appreciated
Answer:
Equation: f(x) = -x² + 3
Step-by-step explanation:
If we want to find the roots/solve for x, we can either graph the problem or use quadratic formula to find when f(x) = 0:
To get the equation of the graph, our parent function is: f(x) = a(x - h)² + k, or f(x) = x². Since we are reflecting over the x-axis with a vertical stretch and vertically moving up to (0, 3), we are modifying a and k only.
Jelani made a mistake solving an equation. His work is shown below.
...
Where did Jelani make a mathematical mistake?
Answer:
d. going from step 1 to step 2.. i think
an individual has been driving a passenger vehicle to work, averaging 60 miles a week in a car that averages 22 miles per gallon. the individual plans to purchase a hybrid vehicle that averages 50 miles per gallon. if the individual drives to work 50 weeks a year, how much gas will they save if they switch to a hybrid vehicle for their commute? responses 28 gallons 28 gallons
If the individual drives to work 50 weeks a year, 76.36 gallons of gas would have been saved if they switch to a hybrid vehicle for their commute.
Assuming that the individual's work commute stays the same, driving an average of 60 miles per week for 50 weeks per year would mean that the individual drives a total of 3,000 miles per year to work.
If the individual switches from their current car, which averages 22 miles per gallon, to a hybrid vehicle that averages 50 miles per gallon, the individual would need (3,000 miles / 22 miles per gallon) = 136.36 gallons of gas for their current car per year.
However, if they switch to a hybrid vehicle that averages 50 miles per gallon, the individual would need (3,000 miles / 50 miles per gallon) = 60 gallons of gas for their new car per year.
Therefore, the individual would save (136.36 gallons - 60 gallons) = 76.36 gallons of gas per year by switching to a hybrid vehicle.
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flip a fair coin, what is the expected number of times one need to flip to get two consecutive head.
The expected number of times one needs to flip a fair coin to get two consecutive heads is 6.
To find the expected number of times one needs to flip a fair coin to get two consecutive heads, we can use the concept of conditional probability.
Let E be the expected number of flips needed to get two consecutive heads.
On the first flip, there is a probability of 1/4 of getting two consecutive heads. If this does not happen, we have to start over and flip the coin again.
On the second flip, there is a probability of 1/4 of getting two consecutive heads, but we have already used one flip, so the expected number of additional flips needed is E.
Therefore, we can write the following equation:
E = (1/4)2 + (1/2)(E+1) + (1/4)(E+2)
E = (1/2)( 1 + E + 1 + E/2 + 1)
E = (1/2)(3 + 3E/2)
E = 3/2 + 3E/4
E/4 = 3/2
E = 6
Therefore, the expected number of times one needs to flip a fair coin to get two consecutive heads is 6.
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Which ones are Whole numbers?
π
-0.5
0
1123
Answer:
0 and 1123
Step-by-step explanation:
If l bisects (Line Over DE) at point R, DR = 2y + 9, and RE = 3y – 1, then find DE
Using the Bisector Theorem, the length of DE is 4y + 13 if we bisect (Line Over DE) at point R, DR = 2y + 9, and RE = 3y – 1.
Since l bisects DE at point R, we can use the segment bisector theorem, which states that the ratio of the lengths of the two segments is equal to the ratio of the lengths of the two other segments:
DR/RE = DE/ER
Substituting DR = 2y + 9 and RE = 3y - 1, we get:
(2y + 9)/(3y - 1) = DE/ER
Since R is the midpoint of DE, we have ER = DR = 2y + 9. Substituting this into the equation above, we get:
(2y + 9)/(3y - 1) = DE/(2y + 9)
Cross-multiplying, we get:
DE = (2y + 9)²/(3y - 1)
Expanding the numerator, we get:
DE = (4y² + 36y + 81)/(3y - 1)
Simplifying the expression, we get:
DE = 4y + 13
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let x1, x2, x3 be iid with common pdf f(x) = e^-x, x>0, 0 elsewhere. Find the joint pdf of Y1=X1/X2, Y2=X3/(X1+X2), and Y3=X1+X2. Are Y1, Y2, and Y3 mutually independent?
The joint probability density function (pdf) of Y1, Y2, and Y3 is, f(y1, y2, y3) = (1/(y1*y3^2)) * e^(-(y3/(y1+y2)) - (y2/y1)) for y1 > 0, y2 > 0, y3 > 0, and 0 elsewhere.
To obtain this joint pdf, we apply the transformation technique to the random variables X1, X2, and X3. We define the transformation functions:
Y1 = g1(X1, X2) = X1/X2
Y2 = g2(X1, X2, X3) = X3/(X1+X2)
Y3 = g3(X1, X2) = X1+X2
Next, we calculate the Jacobian determinant of the transformation:
J = |∂(Y1, Y2, Y3)/∂(X1, X2, X3)| = |1/(X2^2)|
Now, we express X1, X2, and X3 in terms of Y1, Y2, and Y3:
X1 = Y1Y3/(1+Y1+Y2)
X2 = Y3/(1+Y1+Y2)
X3 = Y2Y3/(1+Y1+Y2)
Substituting these expressions and the Jacobian determinant into the joint pdf of X1, X2, and X3, which is e^(-(x1+x2+x3)), we obtain the joint pdf of Y1, Y2, and Y3 as mentioned above.
Regarding the independence of Y1, Y2, and Y3, we can determine it by checking if the joint pdf factors into the product of the marginal pdfs. In this case, if the joint pdf does not factorize, then Y1, Y2, and Y3 are not mutually independent.
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Organizational culture is set by a. the manager b. the ethics committee c. the engineer d. none of the given options
Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.
In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.
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can someone help pls i spent almost 30 min just trying to do this
The answer is 3/25
The calculation as follows.
First, convert to fraction version of the decimals.
0,12 means 12/100
Second, simplify both up and bottom value of the fraction by dividing it with 4
(12:4)/(100:4) = 3/25
So, the answer is 3/25
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I know it isn’t congruent but how do I explain the reasoning? help ?
If the length of the rectangle is reduced by 1cm and its width by 2cm, a square with an area of 20cm2 smaller than the area of the rectangle is obtained. Find the perimeter of the rectangle.
The rectangle has its length = 5.4721 cm and width = 6.4721 cm. Its perimeter is 22.9442 cm.
How to calculate for the perimeter of the rectangle.
We shall represent the length with the letter x and the width with the letter y so that we have two equations for the square as follows;
x - 1 = y - 2... (1)
and;
(x - 1)(y - 2) = 20 cm²... (2)
From equation (1)
x = y - 1
substituting y - 1 for x in equation (2), we have;
(y - 1 - 1)(y - 2) = 20 cm²
(y - 2)(y - 2) = 20 cm²
(y - 2)² = 20 cm² {take square root of both sides}
y - 2 = 4.4721 cm
y = 4.4721 cm + 2 {add 2 to both sides}
y = 6.4721 cm
substituting 6.4721 cm for y in the equation; x = y - 1
x = 6.4721 - 1
x = 5.4721
perimeter of rectangle = 2(5.4721 + 6.4721) cm
perimeter of rectangle = 2(11.4721) cm
perimeter of rectangle = 22.9442 cm
In conclusion, we have the length and width of the rectangle as 5.4721 cm and 6.4721 cm respectively, and its perimeter is 22.9442 cm.
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cos a cosec a Vseca - 1 = 1
Answer:yes 1 =-1
Step-by-step explanation:
Gray gob you are correct
HELP WILL MARK BRAINLIEST PLSS
John walks in the bearing of 75° and stops when he is 12 km North of his starting point.
How far did John walk?
Answer:
It number 1 trust me pls se
Step-by-step explanation:
Use the marginal tax rate chart to answer the question.
Marginal Tax Rate Chart
Tax Bracket Marginal Tax Rate
$0–$10,275 10%
$10,276–$41,175 12%
$41,176–$89,075 22%
$89,076–$170,050 24%
$170,051–$215,950 32%
$215,951–$539,900 35%
> $539,901 37%
Determine the effective tax rate for a taxable income of $145,690. Round the final answer to the nearest hundredth.
24.39%
22.00%
19.81%
17.00%
Answer:
The effective tax rate for a taxable income of $145,690 would be 24.39%.
Step-by-step explanation:
To find the effective tax rate, you need to calculate the total amount of tax paid on the taxable income, and then divide that amount by the taxable income, and multiply by 100 to express it as a percentage.
We can see from the marginal tax rate chart that for a taxable income of $145,690, the marginal tax rate is 24%. This means that the last dollar earned falls in the 24% tax bracket.
We can calculate this in the following steps:
Determine the taxable income in each tax bracket:
$10,276 - $41,175: $41,175 - $10,276 = $30,899
$41,176 - $89,075: $89,075 - $41,176 = $47,899
$89,076 - $170,050: $145,690 - $89,076 = $56,614
Calculate the taxes owed in each tax bracket:
$10,276 - $41,175: $30,899 x 12% = $3,707.88
$41,176 - $89,075: $47,899 x 22% = $10,526.78
$89,076 - $170,050: $56,614 x 24% = $13,547.36
Add up the taxes owed in each bracket to find the total taxes: $3,707.88 + $10,526.78 + $13,547.36 = $27,782.02
Divide the total taxes by the taxable income and multiply by 100 to find the effective tax rate: $27,782.02 / $145,690 x 100 = 19.02%
The effective tax rate for a taxable income of $145,690 would be 19.02%.
It's worth to mention that this is a rough estimate and The final tax calculation would be provided by a tax preparer or software and it would take into account many deductions, credits and any other tax benefits that would affect the final calculation.
What is the mean absolute deviation of the data set 7 10 14 and 20?.
The absolute deviation of the data set 7 10 14 and 20 is 4.25.
What is the mean deviation method?
When calculating the average departure from the mean value of a particular data set, statisticians employ a measure known as the mean deviation. Following the steps below will make it simple to determine the mean deviation of the data values.
In statistics, the term "deviation" refers to the discrepancy between the observed value of a data point and its expected value. As a result, mean deviation, also known as mean absolute deviation, is the typical departure of a data point from the mean, median, or mode of the data collection.
data set is 7, 10, 14, 20,
Mean = m = 51/4 = 12.75
So the MAD is 1/4 |7-12.75| |10-12.75| |14-12.75| 20-12.75|
MAD = 17/4 = 4.25
Hence the mean absolute deviation of the data set 7 10 14 and 20 is 4.25.
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PLEASEEEEE HELPPPPPPPPP ASAPPPPPP
Answer:
if you need a clearer version or a paper showing work lmk:)
Answer:
0: 3.00
1: 3.49
2: 3.98
3: 4.47
4: 4.96
5: 5.45
10: 7.90
Step-by-step explanation:
The general formula is y=0.49x+3.00 because 0.49 is the rate and 3.00 is the flat charge. Plug in the number of cans in x and solve.
4bags of cement do 18m2, how many m2 can be done with 7bags?
Answer:
given 4bags of cement =18m2
1 bags of cement =18/4=4.5m2
7 bags of cement =7*4.5=31.5m2
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly
cost for x movie rentals?
2.95x+39.95
O 39.95x+2.95
O 2.95x-39.95(12)
2.95x+39.95(12)
first answer gets brainliest if you hurry make the answer simple and short no explanation required
Answer:
2.95x+39.95(12).
Step-by-step explanation:
Hope this helps!
Answer:
D
Step-by-step explanation:
hope this helps