On average, Ms Johnson the English teacher takes 15 minutes to mark an English assignment.
If there are 38 learners in class, how long should it take Ms Johnson to mark all the assignments? Answer in hours
Answer: 9 Hours and 30 minutes.
Step-by-step explanation:
on average Ms Johnson takes 15 minutes to mark one English assignment. So to find how long it takes to mark all 38 assignments, mulitply.
15(38)=570 minutes. The problem specifically states to answer in hours. 1 hour is 60 minutes.
570÷60= 9.5.
9 hours and half an hour,
which is 9 hours and 30 minutes.
Answer:
9hours and 30 minutes
Step-by-step explanation:
15x38=570
it takes Ms Johnson 570 minutes
570min=9h 30min
hope this helped
have a great day!!
Check all fractions equivalent to 2⁄8.
Check all that are true.
1⁄2
1⁄6
4⁄16
1⁄4
4⁄12
PLEASE HELP AND SHOW WORK
Answer:
13. It is a paralellogram, because its opposite sides are equal & parallel
14. It is a paralellogram , because it's two diagonals bisect each other .
15. Is a paralellogram, cause its opposite angles are equal
Step-by-step explanation:
You are the accounting manager for Kool Ragz, Inc., a manufacturer of men's and women's clothing. The company needs to borrow $1,300,000 for 90 days in order to purchase a large quantity of material at "closeout" prices. The interest rate for such loans at your bank, Rimrock Bank, is 15% using ordinary interest.
(a) What is the amount (in $) of interest on this loan?
$ ?
(b) After making a few "shopping" calls, you find that Southside National Bank will lend at 15% using exact interest. What is the amount (in $) of interest on this offer? (Round your answer to two decimal places.)
$ ?
(c) So that it can keep your business, Rimrock Bank has offered a loan at 14.5% using ordinary interest. What is the amount (in $) of interest on this offer?
$ ?
(d) (Challenge) If Southside National wants to compete with Rimrock's last offer (part c) by charging $1,125 less interest, what rate (as a %), rounded to the nearest hundredths of a percent, must it quote using exact interest?
% ?
Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.
To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest. (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.
(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500. (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.
(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.
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A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months. What is the standard error of the sample proportion?
a. 0.037
B. 0.057
C. 0.069
D. 0.016
The given information is as follows:A random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months.
The formula for calculating the standard error of sample proportion is given as:$$Standard\(\ error=\frac{\sqrt{pq}}{n}$$\)where:p = proportion of success in the sampleq = proportion of failure in the samplen = sample sizeGiven:Sample proportion, p = 72% or 0.72Sample size, n = 150
The proportion of failure in the sample can be calculated as:q = 1 - p= 1 - 0.72= 0.28Substituting the known values in the above formula, we get:\($$Standard \ error=\frac{\sqrt{pq}}{n}$$$$=\frac{\sqrt{0.72(0.28)}}{150}$$$$=0.0372$$\)Rounding off to the nearest thousandth, we get the standard error of sample proportion as 0.037
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Reduce the third order ordinary differential equation y-y"-4y +4y=0 in the companion system of linear equations and hence solve Completely. [20 marks]
To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:
Let u = y,
v = y',
w = y".
Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:
du/dx = y' = v,
dv/dx = y" = w,
dw/dx = y"'.
Now we can rewrite the given differential equation in terms of u, v, and w:
u - w - 4u + 4u = 0.
Simplifying the equation, we get:
-3u - w = 0.
This equation can be expressed as a system of first-order linear differential equations as follows:
du/dx = v,
dv/dx = w,
dw/dx = -3u - w.
Now we have a companion system of linear equations:
du/dx = v,
dv/dx = w,
dw/dx = -3u - w.
To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.
The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.
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Evaluate 3x² - 1 when x = 2.
OA. 35
OB. 3
OC. 5
OD.11
If point G has coordinates (-4, 7) and point H has coordiantes (3, 0), what is the distance between point G and point H?
Answer:
10.2
Step-by-step explanation:
is the velocity vector v(t) of a curve r(t) always perpendicular to the acceleration vector a(t)?
No, the velocity vector v(t) of a curve r(t) is not always perpendicular to the acceleration vector a(t). To understand this concept, we first need to understand what these vectors are.
The velocity vector v(t) of a curve r(t) represents the rate of change of position of an object with respect to time. In other words, it tells us how fast an object is moving and in what direction. It is a tangent vector to the curve r(t) at any given point on the curve.
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find the greastest common factor of 10,30,and 45.
===================================================
Explanation:
Find the prime factorization of each value. A factor tree may help.
10 = 2*5
30 = 2*3*5
45 = 3*3*5
We see that '5' is found in each of the factorizations. This is the only factor that shows up in all three values, and it only shows up one time. So that's why 5 is the GCF.
Homework:chapter 9.3 hw question 11 score: 0 of 1 point a jar of peanut butter contains g with a standard deviation of g. Find the probability that a jar contains than g. Assume a normal distribution.
The probability that a jar contains more than 461 g is 0.2782.
According to the statement
we have given that the standard deviation and the mean and we have to find the probability that a jar contains more than 461 g by normal distribution.
So, For this purpose, we know that the
Normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
And now we find the Z - Score, so,
Z = x - mean / standard deviation.
here x is 461 and mean is 455 and the standard deviation is 10.2 g.
So, Substitute the values in it then
Z = x - mean / standard deviation.
Z = 461 - 455 / 10.2
Z = 6 /10.2
Z = 0.589
For this z score the value of the P is
P = 0.7218
And
So the probability we're looking for is,
Probability = 1 - 0.7218
Probability = 0.2782.
So, The probability that a jar contains more than 461 g is 0.2782.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
A jar of peanut butter contains 455 g with a standard deviation of 10.2 g. find the probability that a jar contains more than 461 g. assume a normal distribution.
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A_______________ measures the number of standard deviations that a particular value is away from the mean.
The answer is Z-score. Z-score measures the number of standard deviations that a particular value is away from the mean.
A z-score is a numerical measure used in statistics to measure the number of standard deviations between data point and the mean. It is calculated by the subtracting of the population mean from the individual raw score and then dividing the difference by population standard deviation.
The resulting number is z-score, which can then also be used to determine the probability of a raw score in the population. Z-Scores are useful for comparing scores on different tests because they allow you to compare scores on different scales.
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An artist has 12 paintings to sell at the ArtiGras Fine Arts Festival in Jupiter, Florida. The artist picks 7 paintings to display on the first day. You randomly select 7 paintings. What is the probability you select the paintings in the same order the artist displays them on the first day? Write your answer as a fraction in simplest form.
The probability is= 1/665,280 in fraction in simplest form.
What is Probability?The idea of probability describes the possibility of an event happening.
We frequently have to make forecasts about the future in real life.
We may or may not be aware of the outcome of an event.
When this happens, we declare that there is a chance the event will take place.
In summary, probability has a wide range of fantastic applications in entertainment, business, and this recently expanding branch of artificial intelligence.
The probability formula can be used to determine the likelihood of an event by only dividing the favorable number of possibilities by the entire number of p-ossible outcomes.
According to our question-
P(n, r) = n! / (n - r)!
P(12, 7) = 12! / (12 - 7)!
12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
5! = 5 × 4 × 3 × 2 × 1
1/665,280
Hence, The probability is= 1/665,280 in fraction in simplest form.
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If you want to calculate a z score for a test where your raw score was 24, what other information must you know
Answer:
mean and standard deviation
Step-by-step explanation:
Im pretty sure im right
Answer:
eight. What does Z score measure? Well, the Z score is the value you get when you standardize with mean at center deviation. So the Z score is supposed to represent the number of standard deviations value as from the mean.
Step-by-step explanation:
PLEASE HELP ASAP THANKS
A right triangle has a side length of 8, 15 and x, where x is its longest side. What must be the value of x?
Group of answer choices
17
19
18
Answer:
17Step-by-step explanation:
We can find the longest side I.e. Hypotenuse using pythogorean theorem.
\( {8}^{2} + {15}^{2} = {x}^{2} \\ 64 + 225 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17\)
This is your answer hope it helps :)
Answer:
17?
Step-by-step explanation:
a squared + b squared = c squared (hypothenuse longest side)
square them, then add them and square root them.
Find the limit of the following sequence or determine that the limit does not exist. ((-2)} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The sequence is not monotonic. The sequence is not bounded. The sequence converges, and the limit is-(Type an exact answer (Type an exact answer.) OB. The sequence is monotonic. The sequence is bounded. The sequence converges, and the limit is OC. The sequence is not monotonic. The sequence is bounded. The sequence converges, and the limit is OD. The sequence is not monotonic. The sequence is not bounded. The sequence diverges.
The correct choice is the sequence is not monotonic. The sequence is bounded. The sequence converges, and the limit is -2 (option c).
The given sequence (-2) does not vary with the index n, as it is a constant sequence. Therefore, the sequence is both monotonic and bounded.
Since the sequence is bounded and monotonic (in this case, it is non-decreasing), we can conclude that the sequence converges.
The limit of a constant sequence is equal to the constant value itself. In this case, the limit of the sequence (-2) is -2.
Therefore, the correct choice is:
OC. The sequence is not monotonic. The sequence is bounded. The sequence converges, and the limit is -2.
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The limit of the sequence is -2.
Given sequence is ((-2)}
To find the limit of the given sequence, we have to use the following formula:
Lim n→∞ anwhere a_n is the nth term of the sequence.
So, here a_n = -2 for all n.
Now,Lim n→∞ a_n= Lim n→∞ (-2)= -2
Therefore, the limit of the given sequence is -2.
Also, the sequence is not monotonic. But the sequence is bounded.
So, the correct choice is:
The sequence is not monotonic.
The sequence is bounded.
The sequence converges, and the limit is -2.
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Two step equation help me pls step by step
The questions 36 and 37
Answer:
Step-by-step explanation:
SOLVING
================================================================
Question 36
6=-2(7-c)
Use distribution to multiply -2 by parenthesis
6=-14+2c
Add to both sides 14
20=2c
Divide 2 into both sides
10=c
Question 375(h-4)=8
Use distribution to multiply 5 by the parenthesis
5h-20=8
Add to both sides 20
5h=28
Divide 5 into both sides
\(h=\frac{28}{5}\)
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==============================================================
At a restaurant grand opening, a giant sandwich that was 352 centimeters long was divided equally among 22 people. Clyde got one of the pieces, ate half, and saved half for later. Which equation can we use to estimate the length of the piece of sandwich Clyde saved?
Answer:
8 cm
Step-by-step explanation:
You neglected to include any equations
Here is one way to solve:
length of each piece
352/22 = 16
Half a piece
16/2 = 8
Choice C
352/22/2 = l
Answer:
352 ➗ 22 ➗ 2 = l
Step-by-step explanation:
Five thousand tickets are sold at $1 each for a charity raffle. Tickets are to be drawn at random and monetary prizes awarded as follows: 1 prize of $600,3 prizes of $300,5 prizes of $40, and 20 prizes of $5. What is the expected value of this raffle if you buy 1 ticket? Let X be the random variable for the amount won on a single raffle ticket E(X)= dollars (Round to the nearest cent as needed)
The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.
To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:
- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.
- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.
- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.
- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.
Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.
Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.
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help me out please explain too please :((
Answer:
bro I can’t do it TvT
Given J \\ m \\ n, find the value of X
Answer:
x would be 41°
Step-by-step explanation:
What set does negative 4 belong to
Irrational numbers
Rational numbers
Real numbers
Whole numbers
Integers
The figure is made up of a semicircle and a triangle.
Find the area of the figure.
Use
�
=
3.14
π=3.14
The area of the figure made up of a semicircle and a triangle is 63.25 ft²
How to solve an equation?An equation is a mathematical expression that contains two or more numbers and variables linked together by mathematical operations such as exponents, multiplication, division, addition, subtraction and so on.
The figure is made up of a semicircle and a triangle.
The semicircle has a diameter of 10 feet. Hence:
Area of semicircle = (1/2) * π * diameter²/4
Substituting:
Area of semicircle = (1/2) * π * 10²/4 = 39.25 ft²
The triangle has a base of 8 ft and height of 6 ft. hence:
Area of triangle = (1/2) * base * height
Substituting:
Area of triangle = (1/2) * 8 ft * 6 ft = 24 ft²
The area of the figure = Area of triangle + Area of semicircle
Area of figure = 24 ft² + 39.25 ft² = 63.25 ft²
The area of the figure is 63.25 ft²
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Part B: Starting from the origin, explain how to plot the following three points accurately: (2, −2) (−2, 1.5) (−1, fraction 2 over 4) HELP PLEASEEEE
1. (2,-2). From the origin, go 2 units to the right and two units down
2) (-2,1.5) From the origin, go 2 units to the left and 1.5 units up
3) (-1,\(\frac{2}{4}\)) From the origin, go 1 unit to the left and half a unit up
what is the probability that at least 3 are hyperlipidemic? what is the probability that exactly 3 are hyperlipidemic? how many would be expected to meet the criteria for hyperlipidemia?
Evaluate (f . g)(x) if f(x) = 2x and g(x) = 3x - 2. O 6x2 - 2 3x3 - 2 5 x 2 + 3x - 2
6x3 + 12x2 - 4 18x2 - 24x + 8
For any value of x, the composition (f . g)(x) will be 6 times that value minus 4.
To evaluate (f . g)(x), we need to substitute the function g(x) into the function f(x) and simplify the expression.
Given:
f(x) = 2x
g(x) = 3x - 2
Substituting g(x) into f(x), we get:
(f . g)(x) = f(g(x))
= f(3x - 2)
Now, replace x in f(x) with (3x - 2):
f(3x - 2) = 2(3x - 2)
= 6x - 4
Therefore, (f . g)(x) = 6x - 4.
In simpler terms, the composition (f . g)(x) means we first evaluate g(x), which gives us 3x - 2. Then, we substitute this expression into f(x) and simplify to get 6x - 4. This means that for any given value of x, the value of (f . g)(x) will be 6 times that value minus 4.
To evaluate the composition (f . g)(x), we substitute g(x) into f(x). Given f(x) = 2x and g(x) = 3x - 2, we replace x in f(x) with (3x - 2) to get f(3x - 2). Simplifying this expression, we have 2(3x - 2), which equals 6x - 4. Therefore, (f . g)(x) = 6x - 4. In simpler terms, when we evaluate (f . g)(x), we first find g(x) by substituting x into the expression 3x - 2. This gives us 3x - 2. Then, we substitute this expression into f(x), which is 2x. Simplifying the resulting expression, we get 6x - 4. Thus, for any value of x, the composition (f . g)(x) will be 6 times that value minus 4.
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Discuss the following points in respect to different RAID levels ( 0 to 6,10,50 and 60) a) Performance (in respect to process speed of each level) b) Effective storage use (overhead role for each level) c) The role of disk failure (number of disk failure which each level can tolerate) d) Minimum number of hard drive required for each level.
Different RAID levels offer varying levels of performance, effective storage use, disk failure tolerance, and minimum drive requirements.
RAID (Redundant Array of Independent Disks) is a technology that combines multiple physical drives into a single logical unit to improve performance, data redundancy, and fault tolerance. Here's a breakdown of the different RAID levels in terms of performance, effective storage use, disk failure tolerance, and minimum drive requirements:
RAID 0: This level provides excellent performance by striping data across multiple drives, but it lacks redundancy. It offers high read/write speeds but does not tolerate any disk failure. It requires a minimum of two drives. RAID 1: It offers data mirroring, which provides high fault tolerance but sacrifices storage efficiency and performance. All data is duplicated on each drive. It can tolerate the failure of one disk and requires a minimum of two drives.RAID 5: This level combines striping with parity for improved performance and fault tolerance. It distributes parity information across all drives, allowing the system to recover data if a single drive fails. It requires a minimum of three drives and can tolerate the failure of one disk. RAID 6: Similar to RAID 5, it uses striping with double parity for increased fault tolerance. It can tolerate the failure of up to two drives and requires a minimum of four drives. RAID 6 offers higher data redundancy but slower write performance compared to RAID 5. RAID 10: It combines mirroring (RAID 1) and striping (RAID 0) to provide both high performance and fault tolerance. RAID 10 requires a minimum of four drives and can tolerate the failure of one or more drives within each mirrored pair. RAID 50: This level combines the striping of RAID 0 with the fault tolerance of RAID 5. It requires a minimum of six drives, combining the minimum requirements of RAID 0 and RAID 5. RAID 50 can tolerate the failure of one drive in each RAID 5 array. RAID 60: It combines the striping of RAID 0 with the fault tolerance of RAID 6. RAID 60 requires a minimum of eight drives, combining the minimum requirements of RAID 0 and RAID 6. It can tolerate the failure of up to two drives in each RAID 6 array.In summary, different RAID levels offer a trade-off between performance, effective storage use, fault tolerance, and minimum drive requirements. It is important to carefully consider the specific needs of your system to choose the appropriate RAID level.
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You roll a die with the sample space S=(1,2,3,4,5,6]. You define A as (1,2,4),B as [1,2,4,5,6],C as [5,6) and D as [2,3,6) Determine which of the following events are exhaustive and/or mutually exclusive
- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.
To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.
To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.
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This meal costs $19.00 .A sales tax is applied, followed by an automatic tip of 18 %.What is the total with tax and tip?
The total cost of he meat with tax and tip is $ 22.42
How to find the totalTo calculate the total cost with tax and tip, we need to follow these steps:
multiply the meal cost by the tip rate. when the tip rate is 18%, we have:
Tip amount = $19.00 * 0.18 = $3.42
Add the meal cost, sales tax, and tip amount to get the total cost:
Total cost = Meal cost + Sales tax + Tip amount
= $19.00 + $3.42
= $ 22.42
Therefore, the total cost with tax and tip is $22.42
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46. A sphere shaped bowl has a radius of 5.5 inches How much water can the bowl hold? Round to the nearest tenth.
Answer:
try 17.89 cm..then 18 for answer