a teacher takes 15minutes to mark one question paper. how many hours will he take to mark 40 question papers?
Answer:
3 question papers
Step-by-step explanation:
If the teacher takes 15 minutes to mark 1 question paper. Then they will probably take 30 minutes to grade 2 question paper. Because 15 minutes+15 minutes=30 minutes. Then if you and another 15 minutes which will be 40 minutes because 15 minutes+15 minutes+15 minutes=40 minutes.
Hence, the teacher will mark 3 question papers in 40 minutes
Answer:
It will take 13 hours 20 minutes
Step-by-step explanation:
The solution is in image
how can you evaluate 36^1/2
Answer:
6
Step-by-step explanation:
======================================================
Explanation:
Exponents of 1/2 are the same as square roots
\(36^{1/2} = \sqrt{36} = 6\)
If the exponent was say 1/3, then we'd be taking a cube root
\(36^{1/3} = \sqrt[3]{36}\)
and this is what a fourth root would look like
\(36^{1/4} = \sqrt[4]{36}\)
and so on
A study of child care enrolled 1364 infants and followed them through their sixth year in school. Later, the researchers published an article in which they stated that "the more time children spent in child care from birth to age four-and-a-half, the more adults tended to rate them, both at age four-and-a-half and at kindergarten, as less likely to get along with others, as more assertive, as disobedient, and as aggressive." $^{31}$ (a) Is this an observational study or an experiment? Justify your answer. (b) What are the explanatory and response variables? (c) Does this study show that child care causes children to be more aggressive? Explain.
(a) Is this an observational study or an experiment?
ans=Observational study – no treatment was imposed
(b) What are the explanatory and response variables?
ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior
d) Does this study show that child care causes children to be more aggressive? Explain.
No. Observational studies cannot show cause-and-effect
Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.
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The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?
Answer:
\(39.8^{\circ} C\)
Step-by-step explanation:
We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation
\(t(h)=10cos(15h-10)^{\circ}+30\)
Where h=Hour of the day with 0 meaning midnight
t=Temperature in degree Celsius
We have to find the temperature on October 1.
Substitute h=0
\(t(0)=10cos(15(0)-10)+30\)
\(t(0)=10cos(-10)+30\)
\(t(0)=39.8^{\circ} C\)
Hence, the temperature in Elma on October 1=\(39.8^{\circ} C\)
PLEASE HELP ITS MATH!!!!!
Answer:
The first one, yes they are similar, they have at least two corresponding angles
A quality-control engineer want to etimate the mean fillweight of boxe that have been filled with cereal by a certain machine on a certain day. He draw a imple random ample of 100 boxe from the population of boxe that havebeen filled by that machine on that day. He compute the ample mean fill weight to beX = 12. 05 oz, and the ample tandard deviation to be = 0. 1 oz. •Since the population mean will not be exactly equal to the ample mean of 12. 05, it ibet to contruct a confidenceinterval around 12. 05 that i likely to cover the populationmean
The 95% confidence interval for the population mean is then calculated as: [12.05 - 0.019, 12.05 + 0.019] = [12.031, 12.069]. This means that we can be 95% confident that the true population mean is somewhere between 12.031 and 12.069.
The margin of error for a 95% confidene interval is calculated as E = Z*σ/√n, where Z is the critical value for the confidence level, σ is the population standard deviation and n is the sample size. For a 95% confidence interval, the critical value of Z is 1.96.
Therefore, the margin of error E is calculated as: E = (1.96)(0.1)/√100 = 0.019
The 95% confidence interval for the population mean is then calculated as:
[12.05 - 0.019, 12.05 + 0.019] = [12.031, 12.069]
The margin of error for a 95% confidence interval is calculated as E = Z*σ/√n, where Z is the critical value for the confidence level, σ is the population standard deviation and n is the sample size. For a 95% confidence interval, the critical value of Z is 1.96. This means that 95% of the time, the true population mean will fall within the interval of plus or minus 1.96 standard errors from the sample mean. Therefore, the margin of error E is calculated as: E = (1.96)(0.1)/√100 = 0.019.The 95% confidence interval for the population mean is then calculated as: [12.05 - 0.019, 12.05 + 0.019] = [12.031, 12.069]. This means that we can be 95% confident that the true population mean is somewhere between 12.031 and 12.069.
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What's The Answer To This?
Answer:
The answer would be:
c. \(2\sqrt{2}\)
If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 75
Step-by-step explanation:
let the larger number=n
then the smaller number=½n
We conclude from the question that
n+½n=75
3/2n=75
3n=150
n=150/3=50
Therefore the larger number=50 and the smaller number=½×50=25
Lola is in a hot air balloon that has just taken off and is now floating 7 meters above its launching point. Julian is standing on the ground, 6 meters away from the launching point. How far apart are Lola and Julian? If necessary, round to the nearest tenth.
pls help with math question i will make brainliest
Answer:
i believe it p=5 the first one
Step-by-step explanation:
Pls help!!!
1. Solve for w
21+2w=p
Answer will be w=-L+p/2
2. Solve for a
b-2a=c
The answer will be a=c-b/-2 or b-c/2
I know I have the answers but I need the work for it I’ll mark you brainliest
Can someone PLEASEEEEEEE tell me 5 ways to solve -2x<10 ?
Answer:
Divide each term by −2 and simplify.
Inequality Form:
x>−5
Interval Notation:
(−5,∞)
Isolate the variable by dividing each side by factors that don't contain the variable.
.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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Solve for x. Please helppppp!!!!!!!
Answer:
x=40
Step-by-step explanation:
100+2x=180
80=2x
x=40
Answer:
40°, because 180 minus 100 is 80, then divided 80 by 2 (because there is two 2's) and you get 40
Step-by-step explanation:
Bleh :b
Assume that the recovery time for an individual from an infectious disease can be modeled as a normal distribution. (a) Calculate the time, d, in days for an individual to recover from being initially infected, with a 95% confidence level, assuming that the likelihood of recovering at any time is modeled as a normal distribution with a mean of 5 days and a standard deviation of 0.5 days. (b) Use the SIR model that you constructed previously. Assume that a city of 10 million people is confronted with a potential infectious epidemic. A ship arrives at the international airport carrying 100 individuals who are infected, but are unaware that they are infected. While contagious, infected individuals come into transmission contact with another individual once every 2 days. The recovery process is modeled using the Poisson process from Part (a). Assume that recovered individuals that survive develop immunity to the disease. Plot the fraction of susceptible individuals, infected individuals, and recovered individuals as a function of time throughout the epidemic. (c) What fraction of the total population will have ultimately come down with the infectious disease once the epidemic is over? How many days after the ship docking did this number finally reach steady state (i.e.,the epidemic is completely over). (d) What is the basis for this structured model (i.e.,scale, time, etc.)? What is/are the major assumptions associated with the structure?
Upper
daysThe(a) The time for an individual to recover from an infectious disease, is estimated to be between 4.02 and 5.98 days. (d) The structured SIR model assumes homogeneous mixing, constant population, recovered immunity.
(a) To calculate the time for an individual to recover with a 95% confidence level, we can use the properties of the normal distribution. The 95% confidence interval corresponds to approximately 1.96 standard deviations from the mean in both directions.
Given:
Mean (μ) = 5 days
Standard deviation (σ) = 0.5 days
The confidence interval can be calculated as follows:
Lower limit = Mean - (1.96 * Standard deviation)
Upper limit = Mean + (1.96 * Standard deviation)
Lower limit = 5 - (1.96 * 0.5)
= 5 - 0.98
= 4.02 days
Upper limit = 5 + (1.96 * 0.5)
= 5 + 0.98
= 5.98 days
Therefore, the time for an individual to recover from the infectious disease with a 95% confidence level is between approximately 4.02 and 5.98 days.
(b) To simulate the epidemic using the SIR model, we need additional information about the transmission rate and the duration of infectivity.
(c) Without the transmission rate and duration of infectivity, we cannot determine the fraction of the total population that will have come down with the infectious disease once the epidemic is over.
(d) The structured model in this case is the SIR (Susceptible-Infectious-Recovered) model, which is commonly used to study the dynamics of infectious diseases. The major assumptions associated with the SIR model include:
Homogeneous mixing: The model assumes that individuals in the population mix randomly, and each individual has an equal probability of coming into contact with any other individual.
Constant population: The model assumes a constant population size, without accounting for birth, death, or migration rates.
Recovered individuals develop immunity: The model assumes that individuals who recover from the infectious disease gain permanent immunity and cannot be reinfected.
No vaccination or intervention: The basic SIR model does not incorporate vaccination or other intervention measures.
These assumptions simplify the model and allow for mathematical analysis of disease spread dynamics. However, they may not fully capture the complexities of real-world scenarios, and more sophisticated models can be developed to address specific contexts and factors.
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A person places $6440 in an investment account earning an annual rate of 6.8%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 8 years.
Answer:
In 8 years, you will have $11,094.81
Step-by-step explanation:
Answer:
V=11095.3771≈11095.38
Step-by-step explanation:
A sequence has a second term of 1 and a common difference of -3.
The fifth term of the sequence is
10
-5
-11
-8
Answer:
-11
Step-by-step explanation:
I don't know how to type Numerical using a cellphone
A store is offering a 25% discount on all electronics during a special weekend sale. Marcia wants to buy a television that regularly costs p dollars. She has written the expression 0. 75p to represent the sale price. Which is the best description for her expression?.
Marcia has written the expression 0. 75p to represent the sale price. The best description for her expression is she multiplied p by 0.25 then subtracted that from p.
How to express the sale price?
The sale price is the price after discount. Discount is the amount by which the origin price of an item is reduced. In this case, Marcia wants to buy a television with the origin prices is p dollars. The store is offering 25% discount.
p = the origin price
25% discount = 0.75p
The sale price = p - (0.25p)
So, the best description for Marcia's expression is multiplied p by 0.25 then subtracted that from p.
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If y = kx, where k is a constant,
and y = 30 when x = 6, what is
the value of y when x = 3?
Answer:
Step-by-step explanation:
Actually it's 11 because 11 is technically the same when added to constant of x =6 = 11
Find the volume of the cylinder.
Either enter an exact answer in terms of " or use 3.14 for T.
2
units3
Answer:
56.52
Step-by-step explanation:
pi×r²h
=3.14×3²2
=3.14×9×2
=3.14×18
= 56.52³
Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types at the fastest rate of words per minute?
Given:
Henry can type 3500 words in 70 minutes.
Colin can type 1500 in 30 minutes.
Brian can type 2200 words in 40 minutes.
To find:
The person who types at the fastest rate of words per minute.
Solution:
We know that,
\(\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}\)
Using this formula, we get
\(\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50\)
\(\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50\)
\(\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55\)
Since 55>50, therefore Brian's types at the fastest rate of words per minute.
Write the perfect root less than and the perfect root greater than the root given. What is the value of the perfect roots?
From the given picture, we can note that
\(3=\sqrt[]{9}<\sqrt[]{12}<\sqrt[]{25}=5\)Similarly,
\(10=\sqrt[]{100}<\sqrt[]{193}<\sqrt[]{144}=12\)In the same way, we have
\(7=\sqrt[]{49}<\sqrt[]{50}<\sqrt[]{121}=11\)and finally,
\(9=\sqrt[]{81}<\sqrt[]{93}<\sqrt[]{100}=10\)is their any identities like this:( a - b - c)²
PLEASE ANSWER THIS QUESTION I WILL MAKE U AS BRAINLIST JUST SAY YES OR NO
Heeeeeeeeeeeeeeeeeeepl
Answer:
Hi there!
Your answer is;
a)
i) 400% of 240
240 is 100%
× 4
960= 400%
ii) 40% of 240
100% = 240
/100
1% = 2.4
× 40
40% = 96
iii) 4% of 240
100% is 240
/100
1% = 2.4
× 4
4% = 9.6
iv) .04% of 240
100% = 240
/100
1% = 2.4
/100
.01% = .024
× 4
.04% = .096
b) the patterns is that all these numbers equal sometime 96. Each of these have a different decimal place, but have the same actual numbers.
c) 4000% = 240
take the pattern:
400% is 960
Scale it up to 4000 by 10
400% is 960
× 10
4000% is 9600
Hope this helps!
Shalane wants to open a snow cone shop in Panama City, Florida, but does not know if she should keep her shop open all year round, or just for a portion of the year. She decides to collect data on the relationship between the temperature outside and snow cone sales in Panama City in order to decide if her shop should remain open in the winter months. A scatter plot with a line of best fit that was generated with technology is shown.
The Shalane should keep her shop open all year round to maximize her sales and revenue.
The scatter plot with a line of best fit that was generated with technology reveals that when the temperature outside is higher, more snow cones are sold in Panama City, Florida. Since the line has a positive slope, it means that as the temperature outside increases, the number of snow cones sold also increases. As a result, if Shalane were to keep her shop open all year round, she might generate more revenue by providing snow cones during the warmer months, when more people are inclined to purchase them.Therefore, based on the scatter plot with a line of best fit that was generated with technology, Shalane should keep her shop open all year round to maximize her sales and revenue.
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What is the slope between the points (-10, 15) and (-13, 5)? What is the equation of the line in point slope form?
Answer:
y-15=-10/3 (x+10)
Step-by-step explanation:
a spinner has 8 sections 2 purple 2 yellow 3 blue and 1 red what is the probability of spinning and landing on a blue or purple section
Answer:
5/8 is the probability.
Step-by-step explanation:
Question 8
The original price of a snowblower is $950. A sign states that all snowblowers are 20% off the original price. Find the sale price of the
snowblower.
Answer:
$760
Step-by-step explanation:
950 x 0.8 = 760
Please help☡☡
A drawing of a sailboat was made using a rectangle and two right triangles, as shown. ,6 cm 2 cm 3 cm 2.5 cm 12 cm What is the area of the drawing of the sailboat square centimeters? 15 cm2 30 cm2 45 cm2 60 cm2
Answer:
45cm2
Step-by-step explanation:
My teacher reveiwed this problem after the test :)
I think of a number and multiply it by 4 and subtract 3.The result is 17
Answer:
the number is 5
Step-by-step explanation:
in an equation it will be 4x-3=17
4x=17+3
4x=20
x=20/4
x=5
hope this helps plzz mark me brainliest
Step-by-step explanation:
if you do the equation backwards you get your answer. add 3 to 17 . you get 20. then divide 20 by 4. your number would be 5.